Real solutions please WILL GIVE BRAINLIEST

Real Solutions Please WILL GIVE BRAINLIEST

Answers

Answer 1

Answer:

the answer is A=2

Step-by-step explanation:

a real solution is a solution that uses real numbers. This equation has 2 real solutions.

Answer 2

Answer:

A. 2 real solutions

Step-by-step explanation:

One graph is a parabola and 1 graph is a straight line and they intersect twice.

Real Solutions Please WILL GIVE BRAINLIEST

Related Questions

Need help ASAP please​

Answers

Answer: see below

Explanation:

The probability that Ben hit on Tuesday:

18/30 = 3/5

The probability that Ben hits for total:

(84 + 30 + 36 + 18)/(120 + 50 + 40 + 30)

= 168/240 = 7/10

c). B

Because 3/5 = 0.6 and 7/10 = 0.7 which mean the total one is more reliable

Translate into an algebraic expression and simplify if possible. C It would take Maya x minutes to rake the leaves and Carla y minutes, what portion of the leaves do they rake in one minute if they work together?

Answers

Answer:

in one minute they rake [tex]\frac{y+x}{xy}[/tex] leaves working together.

Step-by-step explanation:

If Maya rakes the leaves in x minutes, then, in one minute she rakes [tex]\frac{1}{x}[/tex] leaves.

In the case of Carla, if she rakes the leaves in y minutes, in one minute she rakes [tex]\frac{1}{y}[/tex] leaves.

Therefore, to know the portion of leaves they can rake in one minute working together, we need to sum up both of the portions each one of them rake in one minute, this gives us: [tex]\frac{1}{x}+ \frac{1}{y}[/tex]

Now, to simplify this expression:

[tex]\frac{1}{x}+ \frac{1}{y} =\frac{y+x}{xy}[/tex]

Thus, in one minute they rake [tex]\frac{y+x}{xy}[/tex] leaves.

In one design being considered for the containers shaped like a rectangular prism, each
container will have a height of 114 inches and length of 74 inches. What will be the within
inches, of the container?
A.3
B.4
C.14
D.15

Answers

Answer:

your answer is A 3 inches

The Big Telescope Company sells circular mirrors. Their largest mirrors have radii of 5 meters and their smallest mirrors have radii of 1 meter. The cost of every mirror is proportional to the cube of the mirror's radius. What is the ratio of the total cost of 25 of the company's smallest mirrors to the cost of one of the company's largest mirrors? Express your answer as a common fraction.

Answers

Answer:

The answer is 1/5

Step-by-step explanation:

is the folllowing shape a square? how do you know

Answers

Answer:If it has 4 equal sides

If the angles are 90°

Hope this may helps you

Answer:

A square is characterized by

4 equal sides.Each angle measures 90°Diagonals meet and bisect each other at 90°Opposite sides are parallel and equal.Diagonals are equal.

Hope this helps ;) ❤❤❤

A paintball court charges an initial entrance fee plus a fixed price per ball. P represents the total price (in dollars) as a function of the number of balls used n P=0.80n+5.50 What is the price for 10 balls, not including the entrance fee?

Answers

Answer:

$8

Step-by-step explanation:

It says P = per ball (which will be a number, n, for balls times the fixed price) plus a set entrance fee. So we find that the price per ball is $0.80, so 10 balls cost $8.

Answer:

$8

Step-by-step explanation:

If a equals 15, then what number does 2a - 5 equal?

Answers

Answer:

25

Step-by-step explanation:

a=15

2(15)-5=25

30-5=25

Answer:

25

Step-by-step explanation:

The problem substituting a for 15 would be 2(15)-5

2*15 is 30, then -5 is 25.

The equations 9 x minus 10 y = 6, 8 x minus 10 y = negative 23, 9 x + 10 y = negative 16, and 8 x + 10 y = 13 are shown on the graph below. On a coordinate plane, there are 4 lines. Green line goes through (negative 2, 0.75) and (negative 2, 1.5). Blue line goes through (negative 1.75, 0) and (1, negative 2). Pink line goes through (negative 1.5, negative 2), and (1.5, 0.75). Purple line goes through (0, 1.25) and (1, 0.5). PLEASE ANSWER IS 2 MINUTES WILL GIVE BRAINLIEST Which is the approximate solution for the system of equations 8 x minus 10 y = negative 23 and 9 x + 10 y = negative 16? (–2.3, 0.5) (–2.5, 1) (–2.3, –0.5) (–2.5, –1)

Answers

Answer:

Step-by-step explanation:

The two equations are 8x-10y=-23 and 9x+10y=-16.

If you plug them both into a graphing calculator, you will see that the point where they cross (the solution) is (-2.3, 0.5).

The answer is A.

Answer:

i think it is A

Step-by-step explanation:

if right pls give brainliest

Nvm it is right pls give brainliest i need 5 to get to next rank

What is the difference? StartFraction 2 x + 5 Over x squared minus 3 x EndFraction minus StartFraction 3 x + 5 Over x cubed minus 9 x EndFraction minus StartFraction x + 1 Over x squared minus 9 EndFraction StartFraction (x + 5) (x + 2) Over x cubed minus 9 x EndFraction StartFraction (x + 5) (x + 4) Over x cubed minus 9 x EndFraction StartFraction negative 2 x + 11 Over x cubed minus 12 x minus 9 EndFraction StartFraction 3 (x + 2) Over x squared minus 3 x EndFraction

Answers

Answer:

[tex] \frac{(x + 5)(x + 2)}{ {x}^{3} - 9x } [/tex]

First option is the correct option.

Step-by-step explanation:

[tex] \frac{2x + 5}{ {x}^{2} - 3x } - \frac{3x + 5}{ {x}^{3} - 9x } - \frac{x + 1}{ {x}^{2} - 9 } [/tex]

Factor out X from the expression

[tex] \frac{2x + 5}{x(x - 3)} - \frac{3x + 5}{x( {x}^{2} - 9)} - \frac{x + 1}{ {x}^{2} - 9} [/tex]

Using [tex] {a}^{2} - {b}^{2} = (a - b)(a + b)[/tex] , factor the expression

[tex] \frac{2x + 5}{x(x - 3)} - \frac{3x + 5}{x(x - 3)(x + 3) } - \frac{x + 1}{(x - 3)(x + 3)} [/tex]

Write all numerators above the Least Common Denominators x ( x - 3 ) ( x + 3 )

[tex] \frac{(x + 3) \times (2x - 5) - (3x + 5) - x \times (x + 1)}{x(x - 3)(x + 3)} [/tex]

Multiply the parentheses

[tex] \frac{2 {x}^{2} + 5x + 6x + 15 - (3x + 5) - x(x + 1)}{x(x - 3)(x + 3)} [/tex]

When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression

[tex] \frac{2 {x}^{2} + 5x + 6x + 15 - 3x - 5 - x \times (x + 1)}{x(x - 3)(x + 3)} [/tex]

Distribute -x through the parentheses

[tex] \frac{2 {x}^{2} + 5x + 6x + 15 - 3x - 5 - {x}^{2} - x }{x(x - 3)(x + 3)} [/tex]

Using [tex] {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex] , simplify the product

[tex] \frac{2 {x}^{2} + 5x + 6x + 15 - 3x - 5 - {x}^{2} - x}{x( {x}^{2} - 9)} [/tex]

Collect like terms

[tex] \frac{ {x}^{2} + 7x + 15 - 5}{x( {x}^{2} - 9)} [/tex]

Subtract the numbers

[tex] \frac{ {x}^{2} + 7x + 10}{ x({x}^{2} - 9)} [/tex]

Distribute x through the parentheses

[tex] \frac{ {x}^{2} + 7x + 10}{ {x}^{3} - 9x} [/tex]

Write 7x as a sum

[tex] \frac{ {x}^{2} + 5x +2x + 10 }{ {x}^{3} - 9x } [/tex]

Factor out X from the expression

[tex] \frac{x(x + 5) + 2x + 10}{ {x}^{3} - 9x} [/tex]

Factor out 2 from the expression

[tex] \frac{x( x + 5) + 2(x + 5)}{ {x}^{3} - 9x } [/tex]

Factor out x + 5 from the expression

[tex] \frac{(x + 5)(x + 2)}{ {x}^{3} - 9x } [/tex]

Hope this helps...

Best regards!!

The difference of the expression [tex]\frac{2x + 5}{x^2 -3x} - \frac{3x + 5}{x^3 - 9x} - \frac{x + 1}{x^2 - 9}[/tex] is [tex]\frac{(x+5)(x+ 2) }{x^3- 9x}[/tex]

The expression is given as:

[tex]\frac{2x + 5}{x^2 -3x} - \frac{3x + 5}{x^3 - 9x} - \frac{x + 1}{x^2 - 9}[/tex]

Factorize the denominators

[tex]\frac{2x + 5}{x(x -3)} - \frac{3x + 5}{x(x^2 - 9)} - \frac{x + 1}{x^2 - 9}[/tex]

Apply the difference of two squares to the denominators

[tex]\frac{2x + 5}{x(x -3)} - \frac{3x + 5}{x(x - 3)(x + 3)} - \frac{x + 1}{(x - 3)(x + 3)}[/tex]

Take LCM

[tex]\frac{(2x + 5)(x + 3) - 3x - 5 -x(x + 1) }{x(x - 3)(x + 3)}[/tex]

Expand the numerator

[tex]\frac{2x^2 +6x + 5x + 15 - 3x - 5 -x^2 - x }{x(x - 3)(x + 3)}[/tex]

Collect like terms

[tex]\frac{2x^2 -x^2 - x +6x + 5x - 3x+ 15 - 5 }{x(x - 3)(x + 3)}[/tex]

Simplify

[tex]\frac{x^2+7x+ 10 }{x(x - 3)(x + 3)}[/tex]

Factorize the numerator

[tex]\frac{(x+5)(x+ 2) }{x(x - 3)(x + 3)}[/tex]

Expand the denominator

[tex]\frac{(x+5)(x+ 2) }{x^3- 9x}[/tex]

Hence, the difference of the expression [tex]\frac{2x + 5}{x^2 -3x} - \frac{3x + 5}{x^3 - 9x} - \frac{x + 1}{x^2 - 9}[/tex] is [tex]\frac{(x+5)(x+ 2) }{x^3- 9x}[/tex]

Read more about equivalent expressions at:

https://brainly.com/question/2972832

If some of the omitted variables, which you hope to capture in the changes analysis, in fact change over time within entity, then the FE estimator a. will be unbiased only when allowing for heteroskedastic-robust standard errors. b. may still be biased. c. will only be unbiased in large samples. d. will always be unbiased.

Answers

Answer:

d. will always be unbiased.

Step-by-step explanation:

When some of variables are omitted the estimator on indulge charge regressor may still be unbiased. If there is a special case where T = 2 then the FE estimator will be unbiased. Fixed effect regression model has different intercepts.

PLEASE PLEASE HELP IM BEING TIMED The two-way table represents data from a survey asking students whether they plan to attend college, travel, or both after high school. A 4-column table with 3 rows. The first column has no label with entries travel, not travel, total. The second column is labeled college with entries 43, 24, 67. The third column is labeled not college with entries 10, 5, 15. The fourth column is labeled total with entries 53, 29, 82. Which is the marginal relative frequency for students who plan to attend college? Round the answer to the nearest percent. 18% 22% 35% 82%

Answers

Answer: 82%

Step-by-step explanation:

- - - - - - - - college - - not college - - - - total

Travel - - - - 43 - - - - - - - 10 - - - - - - - - 53

Not travel - 24 - - - - - - - 5 - - - - - - - - - 29

Total - - - - 67 - - - - - - - 15 - - - - - - - - - 82

Marginal relative frequency of students who plan to attend college:

(Number of students who plan to attend the college / Total number of the students)

Number of students who plan to attend college = 67

total number of students = 82

Marginal relative frequency = 67/82

= 0.8170731

= (0.8170731) * 100%

= 81.7% = 82%

Answer:

a: 14/50

b: 15/50

c: 21/50

Step-by-step explanation:

on edge

What is the best first step to solve this equation 8x =25 ?

Answers

Hey there!

"8x = 25"

In order for you to solve for "x-value" (or the equation) we have to DIVIDE both of your sides by 8

8x/8 = 25/8

Cancel out: 8x/8 because that gives you the value of 1 and you don't need it at the moment (in that equation that is)

Keep: 25/8 Because it solves for your equation

Your x equals: 25/8 aka 1 1/8 aka 3.125 (you could choose any one of these as your answer because they are all correct)

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Which way would you choose to solve 3/x=6/14 ?
Explain your reasoning.

Answers

Answer:

I'd cross multiply to solve this equation.

Step-by-step explanation:

Since we have a fraction where we're finding a ratio:

[tex]\frac{3}{x} = \frac{6}{14}[/tex],

I'd find it easiest to cross multiply. This is because we are finding an equivalent to a ratio, so cross multiplication works best here.

Let's solve it.

[tex]14\cdot 3 = 42\\42\div6=7[/tex]

x = 7

Hope this helped!

evaluate 1/2^-2x^-3y^5 for x=2 and y=-4

Answers

Answer:

[tex] - \frac{1}{32} [/tex]

Step-by-step explanation:

Given,

x = 2

y = - 4

Now, let's solve:

[tex] \frac{1}{ {2}^{ - 2} \: {x}^{ - 3} \: {y}^{5} } [/tex]

plug the values

[tex] \frac{1}{ {2}^{ - 2} \: {(2)}^{ - 3} \: {( - 4)}^{5} } [/tex]

A negative base raised to an odd power equals a negative

[tex] \frac{1}{ {2}^{ - 2} \times {2}^{ - 3} \times {( - 4}^{5}) } [/tex]

Determine the sign of the fraction

[tex] - \frac{1}{ {2}^{ - 2} \times {2}^{ - 3} \times {4}^{5} } [/tex]

Write the expression in exponential form with a base of 2

[tex] - \frac{1}{ {2}^{ - 2} \times {2}^{ - 3} \times {2}^{10} } [/tex]

Calculate the product

[tex] - \frac{1}{ {2}^{5} } [/tex]

Evaluate the power

[tex] - \frac{1}{32} [/tex]

Hope this helps...

Best regards!!

To prove that the triangles are similar by the SAS similarity theorem, it needs to be shown that

Answers

the two triangles are congruent it two sides and the included angle of one triangle are respectively equal to two sides and angle of the other triangle

Write a polynomial f(x) that satisfies the given conditions.
8
Degree 3 polynomial with integer coefficients with zeros -5i and
5

Answers

Answer:

  f(x) = x^3 -5x^2 +25x -125

Step-by-step explanation:

For zero x=a, one of the factors is (x -a). If the polynomial has integer coefficients, its complex roots come in conjugate pairs. So, the roots are ...

  roots: -5i, 5i, 5

  factors: (x -(-5i))(x -5i)(x -5)

Multiplying these out gives your polynomial as ...

  f(x) = (x^2 +25)(x -5)

  f(x) = x^3 -5x^2 +25x -125

In a school, half of the 300 students saw Zootopia, 180 students saw Finding Dory, and 45 students did not see either movie. How many students saw both movies?

Answers

Answer:

150

Step-by-step explanation:

Answer:

150  =  half of 300

± 180

230

soooo 230 students

Step-by-step explanation:

Answer choice
C) All nonnegative real numbers

D) All positive integers

Answers

Hey ..

The correct option would be A.

The number of boxes can't be negative or in fractions.

so the domain would be "All whole numbers from 0 to 10"

Answer:

A) All whole numbers from 0 to 10.

Step-by-step explanation:

The domain of a function is given by the available values of the independent variable.

In this case you have that the independent variable is the number of boxes, and the available values of this variable are integers in between 0 and 10, by including 0 and 10.

Then, the domain of the functions composed by all positive integers number from 0 to 10 including 0 and 10.

A) All whole numbers from 0 to 10.

what is a continent To eliminate the terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? First equation: 9x + 3y = -18 Second equation: 8x + 7y = 10

Answers

Answer:

To eliminate solve for y, we need to eliminate x and we will do that by multiplying the first  equation by 8   and multiply the second equation by 9.

y=6

Step-by-step explanation:

In the equations:

9x + 3y = -18  -----------------------------------------------------------------(1)

8x + 7y = 10 --------------------------------------------------------------------(2)

To solve for  y, we will have to eliminate x

To eliminate x, we will follow the steps below;

multiply equation (1) through by 8   and multiply equation (2) through by 9

The resulting equations are

72x + 24y  = -144 ----------------------------------------------------------(3)

72x +  63y =  90  -----------------------------------------------------------(4)

Then we will go ahead and subtract equation  (4) from equation (3)

39y =234

divide both-side of the equation by 39

39y /39=234/39

y=6

What is the sine value of pi over 6? negative 1 over 2 1 over 2 negative square root 3 over 2 square root 3 over 2

Answers

Answer:

1/2

Step-by-step explanation:

[tex]sin(\frac{\pi }{6} )=\frac{1}{2}[/tex]

sin(pi) = 0

sin(7pi/6) = -1/2

sin(pi/6) = 1/2

sin 3pi/2 = -1

sin pi/2 = 1

sin pi/3 = √3/2

sin 4pi/3 = -√3/2

Answer:

1/2

Step-by-step explanation:

I got it right on the exam.

Simplify.
A12 over a7

Answers

Answer:

a^5.

Step-by-step explanation:

a^12 / a^7 = a^(12 - 7) = a^5.

Hope this helps!

The surface area of a sphere is 3000 m square units. What is the volume of the sphere to the nearest hunderedth?

Answers

Answer:

The answer is

15448m³

Step-by-step explanation:

To find the volume of the sphere we must first find the radius

Surface area of a sphere = 4πr²

where r is the radius

From the question surface area = 3000m²

3000 = 4πr²

Divide both sides by 4π

750/π = r²

Find the square root of both sides

r = 15.45 cm

Volume of a sphere is 4/3πr³

So we have

4/3π(15.45)³

= 15448.06

= 15448m³ to the nearest hundredth

Hope this helps you

Write an equation of the line that passes through the point (-6, -5) with slope 6.


A. y +5= -6(x+6)
B.y+6= -6(x+5)
C. y+6=6(x+5)
D.y+5= 6(x+6)

Answers

Answer:

The answer is option D.

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

Equation of a line from given a Slope and a point is

y - y1 = m(x - x1)

Where ( x1 , y1) is the point

Equation of the line using point (-6 , -5) and slope 6 is

y + 5 = 6(x - 6)

Hope this helps you

Which equation represents the line that passes through (-6, 7) and (-3, 6)?
y=-*x+9
y=-*x+5
y=-3x – 1ly
y=-3x + 25

Answers

Answer:

y = -3x - 11

Step-by-step explanation:

(y - y1)/(x - x1) = (x2 - x1)/(y2 - y1)

(y - 7)/(x + 6) = (-3 + 6)/(6 - 7)

(y - 7)/(x + 6) = 3/-1 = -3

y - 7 = -3(x + 6)

y - 7 = -3x - 18

y = -3x -18 - 7

y = -3x - 11

The side length of each square is 6 units. Find the areas of the inscribed shapes.

Answers

Answer:

a) A₁ = 18 unit²

b) A₂ = 20 unit²

c) A₃ = 12 unit²

d) A₄ = 12 unit²

Step-by-step explanation:

a) Given that the side length of square is 6 units, we have;

The height of the square = The height of the triangle = 6 units

The base of the triangle = The side length of the square = 6 units

The area of a triangle A₁ = 1/2×base×height = 1/2×6×6 = 18 unit²

b) The side of the square A₂ forms an hypotenuse side to the side length 2 and 4 on sides of the circumscribing square

The length of the side = √(4^2 + 2^2) = 2·√5

A₂ = The area of a square =Side² = (2·√5)² = 20 unit²

c) The base length of the triangle, A₃ + 2 = The side length of the circumscribing square = 6 units

∴ The base length of the triangle, ₃₂ = 6 - 2 = 4 units

The height of the triangle, A₃ = The  side length of the circumscribing square = 6 units

The area of a triangle A₃ = 1/2×base×height = 1/2×4×6 = 12 unit²

d) Figure, A₄, is a parallelogram;

The area of a parallelogram = Base × Height

The base of the parallelogram, A₄ + 4 = 6 units

Therefore, the base of the parallelogram, A₄ = 6 - 4 = 2 units

The height of the parallelogram = The  side length of the circumscribing square = 6 units

The area of a parallelogram A₄ = 2× 6 = 12 unit².

Large samples of women and men are​ obtained, and the hemoglobin level is measured in each subject. Here is the​ 95% confidence interval for the difference between the two population​ means, where the measures from women correspond to population 1 and the measures from men correspond to population​ 2:

negative 1.76 g divided by dL less than mu 1 minus mu 2 less than minus 1.62 g divided by dL

−1.76 g/dL<μ1−μ2<−1.62 g/dL. Complete parts​ (a) through​ (c) below.

a. What does the confidence interval suggest about equality of the mean hemoglobin level in women and the mean hemoglobin level in​ men?

Answers

Answer:

a) Because the confidence interval  does not include  0​ it appears that there

is  a significant difference between the mean level of hemoglobin in women and the mean level of hemoglobin in men.

b)There is​ 95% confidence that the interval from  −1.76 g/dL<μ1−μ2<−1.62 g/dL actually contains the value of the difference between the two population means μ1−μ2

c)   1.62 < μ1−μ2< 1.76

Step-by-step explanation:

a) What does the confidence interval suggest about equality of the mean hemoglobin level in women and the mean hemoglobin level in​ men?

Given:

95% confidence interval for the difference between the two population​ means:

−1.76g/dL< μ1−μ2 < −1.62g/dL

population 1 =  measures from women

population 2 =  measures from men

Solution:

a)

The given confidence interval has upper and lower bound of 1-62 and -1.76. This confidence interval does not contain 0. This shows that the population means difference is not likely to be 0. Thus the confidence interval implies that the mean hemoglobin level in women and the mean hemoglobin level in​ men is not equal and that the  women are likely to have less hemoglobin than men. This depicts that there is significant difference between mean hemoglobin level in women and the mean hemoglobin level in​ men.

b)  

There is​ 95% confidence that the interval −1.76 g/dL<μ1−μ2<−1.62 g/dL actually contains the value of the difference between the two population means μ1−μ2.

c)

If we interchange men and women then

confidence interval range sign will become positive.μ1 becomes the population mean of the hemoglobin level in menμ2 becomes the population mean of the hemoglobin level in women So confidence interval becomes:

                                          1.62 g/dL<μ1−μ2<1.76 g/dL.

There is a significant difference between the mean level of hemoglobin in women and in men.

How to interpret the confidence interval

The confidence interval of the mean is given as:

[tex]-1.76 g/dL < \mu_1-\mu_2 < -1.62 g/dL[/tex]

The above confidence interval shows that the confidence interval is exclusive of 0.

This means that 0 is not part of the confidence interval

Since the confidence interval is exclusive of 0, then there is a significant difference between the mean level of hemoglobin in women and in men.

Read more about confidence intervals at:

https://brainly.com/question/17097944

Todd bought a jet ski through a interwar free payment plan. The ski was $2000 and his payments were $250 each. What percent of the total cost are the payments?

Answers

Answer:

12.5%

Step-by-step explanation:

The price for the ski = $2000

The payments made each = $250

percentage of the total cost that the payment is = ?

The percentage will be calculated as

the ratio of the payments made to the price of ski times 100%

250/2000 x 100%

==> 0.125 x 100% = 12.5%

A woman bought a cup
of beans for 12 and sold it
for ₦15. What was her
percentage profit​

Answers

Answer:

25 %

Step-by-step explanation:

Given,

Cost price ( CP ) = 12

Selling price ( SP ) = 15

Since, CP < SP , she made a profit

Actual profit = SP - CP

plug the values

[tex] = 15 - 12[/tex]

Subtract the numbers

[tex] = 3[/tex]

Profit = 3

Now,

Profit percent = [tex] \frac{actual \: profit}{cost \: price} \times 100[/tex] %

Plug the values

[tex] = \frac{3}{12} \times 100[/tex] %

Calculate

[tex] = 25[/tex] %

Hope this helps...

Best regards!!

Answer:

25%

Step-by-step explanation:

Cost Price: ₦12

Selling Price: ₦15

Profit: ₦15 - ₦12 = ₦3

Profit Percentage = [tex]\frac{profit}{cost price}[/tex]  ×  [tex]\frac{100}{1}[/tex]

Profit Percentage = [tex]\frac{3}{12}[/tex] × [tex]\frac{100}{1}[/tex]

Profit Percentage = [tex]\frac{1}{4}[/tex] × [tex]\frac{100}{1}[/tex] = 25%

Final Answer = 25%

Which of the following options could represent a possible set of interior angles of a triangle? 100°, 130°, and 130° 30°, 70°, and 80° 25°, 3°, and 35° 45°, 105°, and 120°

Answers

Answer:

2) 30, 70, 80

Step-by-step explanation:

Well there has to be 3 angles that all add up to 180°.

1)

100+130+130

=360

2)

30+70+80

= 180

3)

25+3+35

=63

4)

45 + 105 + 120

=150

150+120

270

A solid square pyramid has a mass of 750 g. It is made of a material with a
density of 8.05 g/cm'. Given that the height of the pyramid is 13.5 cm, find the
length of its square base.​

Answers

Answer:

4.55cm

Step-by-step explanation:

The unit of a volume: [tex]cm^3[/tex]

The unit of a density: [tex]\dfrac{g}{cm^3}[/tex]

The density is [tex]\dfrac{mass}{volume}[/tex]

Substitute:

[tex]\dfrac{8.05g}{cm^3}=\dfrac{750g}{V}[/tex]

cross multiply

[tex]8.05gV=750gcm^3[/tex]

divide both sides by 8.05g

[tex]V\approx93.17cm^3[/tex]

The formula of a volume of a square pyramid:

[tex]V=\dfrac{1}{3}a^2H[/tex]

a - length of  square base

H - height of a pyramid

We have:

[tex]V=93.17cm^3;\ H=13.5cm[/tex]

Substitute:

[tex]93.17=\dfrac{1}{3}a^2(13.5)[/tex]

multiply both sides by 3

[tex]279.51=13.5H[/tex]

[tex]297.51=13.5a^2[/tex]

divide both sides by 13.5

[tex]a^2\approx20.7\to a=\sqrt{20.7}\approx4.55(cm)[/tex]

Answer:

Step-by-step explanation:

volume of pyramid=1/3×base area×height

let the length of base=x

base area=x²

volume V=1/3×x²×13.5=4.5 x²

mass=volume×density

750=4.5 x²×8.05=36.225 x²

x²=750/36.225

x=√(750/36.225)≈4.55 cm

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