-4 + 3a2 from 7a - a2

Answer:

Area: 5 cm squared

Perimeter: 12 cm

Step-by-step explanation:

The area is Length times Width, and there is 5 different sqaures in the figure.Each sqaure has an area of 1 by 1, which is 1. 1 times 5 is 5. So the area is 5. You can get the perimeter by adding all the side lengths together, 2+3+2+1+1+1+1+1=12. The perimeter is 12. Hope this helps.

Answer:

D

Step-by-step explanation:

Δ KLM is equilateral ( 3 congruent angles ), thus 3 sides are congruent

KM = LM = 5

Δ MJK is isosceles ( base angles are congruent ), thus

MJ = KM = 5 , substitute value

x + 1 = 5 ( subtract 1 from both sides )

x = 4 → D

x=4

Step-by-step explanation:

all sides are 5 on the bottom triangle and the top triangle has 2 sides that are equal and one equals 5. there for it becomes x +1=5. 4

Answer:

2

Step-by-step explanation:

The Volume of the smaller prism is 37.5 ft³.

Prism is a three-dimensional structure that has identical polygon bases, and other faces are identical parallelograms.

The volume of the prism is determined by the formula

V = Bh

B is the base area and h is the height of the Prism.

The scale factor is given as 1/4, as the volume of the larger prism is given.

The volume of the larger prism is 2400 ft³

the side lengths will be multiplied by 1/4

Let the base area is for the larger prism the area for the smaller prism will be equal to

A = (1/16) a

The height of the larger prism is h.

Height of the smaller prism will be (1/4)h

The volume of the smaller prism = (1/16)*(1/4) Volume of the Larger Prism

The volume of the smaller prism = 2400 / (16*4)

The volume of the smaller prism = 37.5 ft³.

To know more about the Volume of Prism

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Answer:

slope = [tex]\frac{7}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (2, 7)

m = [tex]\frac{7-0}{2+3}[/tex] = [tex]\frac{7}{5}[/tex]

Answer:

7/5

Step-by-step explanation:

m=y2-y1/x2-x1

7-0=7

2-(-3)=5

7/5

Answer:

A. tan(x) = 2.4/10

Step-by-step explanation:

The question is incomplete and lacks the required diagram. Find the question and diagram attached below.

Which equation can be used to solve for the measure of angle ABC? tan(x) = 2.4/10 tan(x) =10/2.4 sin(x) =10/10.3 sin(x) =10.3/10

We will use the SOH CAH TOA identity to calculate the equation needed to solve for angle ABC.

In a right angled triangle, the side facing the acute angle ABC is the opposite, the longest side is the hypotenuse and the third side (base) is the adjacent.

From the diagram shown;

AB = hypotenuse = 10.3cm

AC = opposite = 2.4cm

BC = adjacent  = 10cm

To get the angle x, we can use the SOH and TOA identity.

SOH means sin<ABC = opp/hyp

Sin(x) = AC/AB = 2.4/10.3

TOA ≈ Tan(x) = opp/adj

Tan(x) = 2.4/10

The equation that can be used to solve for the measure of angle ABC are therefore sin(x) = 2.4/10.3 OR tan(x) = 2.4/10

Based on the given option,

tan(x) = 2.4/10 is the only correct answer.

Answer:

in short its A.

Step-by-step explanation:

EDGE 2021

Answer:

11 weeks

Step-by-step explanation:

He has 85 and can save 29 each week.  This must be greater than the cost of the tv

85 + 29 w > 395.50

Subtract 85 from each side

85 -85 + 29 w > 395.50-85

29w >310.50

Divide by 29

29w/29 > 310.5/29

w >10.70689655

The number of weeks must be greater than 10.7 so rounding up

He must save for at least 11 weeks

Answer: C

Step-by-step explanation:

y = ax + bx + c is the general equation for quadratic function. While the discriminant D is

D = b^2 - 4ac

You are given the equation:

y = x^2 + 3x - 4

Where a = 1, b = 3 and c = -4

Substitutes all the parameters into the discriminant D formula

D = 3^2 - 4 × 1 × -4

D = 9 - ( - 16 )

Open the bracket

D = 9 + 16

D = 25

Therefore, D = 25 and the roots are rational

Answer:

? = 9.

Step-by-step explanation:

According to the AA Theorem, the two triangles are similar.

[tex]\frac{30}{30 + 5} =\frac{54}{? + 54}[/tex]

30 (? + 54) = 54 * 35

30? + 1620 = 1890

3? + 162 = 189

3? = 27

? = 9

Hope this helps!

Answer:

See below

Step-by-step explanation:

Part 1 -

x: number of hours worked

y: total income

This is written as → y = f(x)

Part 2 -

y = 15*x

Part 3 -

f (35) = 15 × 35 = $525

f (29) 15 × 29 = $435

Week 1 - Ashley worked 35 hours with a total income of $525.

Week 2 - Ashley worked 29 hours with a total income of $435.  

Answer:

a) we know that:

the tens digit exeeds the units digit by 3, then if we have two digits

ab.

and b, the digit for units is equal to r.

then a, the digit for tens, is equal to r + 3.

Then, if r = 4, we have that the digit for tens is r + 3 = 7

and the number is 74.

b) if n is an integer, then we know that 2*n is an even number.

Now, the next even number is always 2 units away, then the next even number to 2*n is:

2*n + 2 = 2*(n + 1)

Answer:

the slope is 2 and the y intercept is -2

Step-by-step explanation:

y=2x-2

This is in the form y = mx+b  where m is the slope and b is the y intercept

the slope is 2 and the y intercept is -2

Answer: s=36

Step-by-step explanation:

To solve for s, we can use our algebraic properties to solve.

[tex]\frac{1}{3}s+14=26[/tex]                    [subtract both sides by 14]

[tex]\frac{1}{3}s=12[/tex]                            [multiply both sides by 3]

[tex]s=36[/tex]

Answer:

The answer is s=36

Step-by-step explanation:

Answer:

Step-by-step explanation:

MNOP is a parallelogram             Given

PM // ON                                     opposite sides of parallelogram are parallel

∠ NOM = ∠ONP                          Alternate angles theorem

MN // OP                                  opposite sides of parallelogram are parallel

∠NOP =∠ MNO                     Alternate angles theorem

ON = ON                               common to both triangles ΔOMN & ΔONP

ΔOMN ≅  ΔONP                   ASA congruent

PM ≅ ON                          CPCT -Corresponding Part of Congruent triangle

Answer:

377 choices

Step-by-step explanation:

From the above question, we are told that

A restaurant offers 6 choices of appetizer, 8 choices of main meal and 5 choices of dessert. A customer can choose to eat just one course, or two different courses, or all three courses.

Let us represent each choice by :

A = Appetizer = 6

M = Main meal = 8

D = Dessert = 5

a) The combination of the 3 choices together

AMD=6 × 8 × 5=240

b) AM= Appetizer and Main meal

= 6 × 8 = 48

c) AD= Appetizer and Dessert

= 6 × 5 = 30

d) MD = Main meal × Dessert

= 8 × 5 = 40

e) A,M,D (each alone)=

Appetizer + Main meal + Dessert

= 6 + 8 + 5

= 19

Assuming all choices are available, how many different possible meals does the restaurant offer?

This is calculated as:

AMD + AM + AD + MD + A,M,D

240 + 48 + 30 + 40 + 19

= 377 choices

Answerr:

Step-by-step explanation:

Answer:

D. 2y < 2

Step-by-step explanation:

To find the equation with shaded area below the boundary line, all we need to do is to examine each inequality and find the one which gives

+y < ( a constant)

We can leave out the x term for this.

For example:

A. y>5  clearly it is shaded above the line (because of the > sign)

B. -3y <3 => 3y > -3    so again it is shaded above

C. -3y                   is not even an inequality

D. 2y < 2              clearly it is shaded BELOW

E. 4y >12              clearly it is shaded above

See also attached diagram.  The answer is represented by the purple area.  All the other areas are shaded above the boundary line.

Answer:

Step-by-step explanation:

Answer:

( y + b - a - 3d)(y + b + a + 3d).

Step-by-step explanation:

y^2 + 2by + b^2 - a^2 - 6ad - 9d^2

= y^2 + 2by + b^2 - (a^2 + 6ad + 9d^2)

= (y + b)^2 - (a + 3d)^2

This is the difference of 2 squares so we have

(y + b - (a + 3d))(y + b + (a + 3d))

= ( y + b - a - 3d)(y + b + a + 3d)

Answer:

73.18

Step-by-step explanation:

equilateral triangle means all sides are the same

A=(√3/4)a^2

A=(√3/4)*13^2

A=73.18 inches square

Answer:

73.18 square inches.

Step-by-step explanation:

To find the area of an equilateral triangle, we use a certain formula.

Where the side length is represented by s, the area is (sqrt(3))/4 * s^2.

Since s = 13, you will have (sqrt(3))/4 * 13^2 = 1.732050808/4 * 169 = 292.7165865/4 = 73.17914662. You can round that to 73.18.

So, the area of the triangle is 73.18 square inches.

Remember to use your units when presenting your answer, and hope this helps!

Answer:

144

Step-by-step explanation:

2(39+33)

2(72)

144

=144

Answer:

[tex]Total = 2.00mL[/tex]

Step-by-step explanation:

Given

Solution: NaCl

Flask 1: 0.25mL of NaCl

Flask 2: 1.75mL of Nacl

Required

Calculate the total amount of the solution

The total amount of the solution is calculated by adding the size of the contents in both flasks

i,e,

[tex]Total = Flask\ 1 + Flask\ 2[/tex]

[tex]Total = 0.25mL + 1.75mL[/tex]

[tex]Total = 2.00mL[/tex]

Answer:

yep it is 2.00

Step-by-step explanation:

Step-by-step explanation:

If you are not a gerbil, then you are not a pet owner. False; if you are not a gerbil, you can be a human who owns pets.

If you are not a pet owner, then you have a gerbil. False; if you are not a pet owner then you have no pets.

If you do not have a gerbil, then you are not a pet owner. False; you could have a dog or a cat.

If you are not a pet owner, then you do not have a gerbil. True, since if you do not own any pets, you will not have any animals, so you will not have a gerbil.

Hope this helps!

Answer:

If you are not a pet owner, then you have a gerbil. False; if you are not a pet owner then you have no pets

Step-by-step explanation:

Answer:

8.7 cm

Step-by-step explanation:

The question is a 2-two-step Pythagoras theorem. (c^2 = a^2 + b^2)

Consider as such, If I were to draw a diagonal line along the base of the cube what is the length of the diagonal line. To find out that we use the theorem. We can substitute a for 5 and b for 5 as well. So

a^2 +b^2 = c^2

5^2 + 5^2 = c^2

25 + 25 = c^2

√50 = c

Then since the line side of the cube is on a 3d angle we need to do the same process again but now using the imaginary diagonal line that we just calculated and the height (5).

a^2 +b^2 = c^2

√50^2 + 5^2 = c^2

50 + 25 = c^2

√75 = c

c = 8.6602...

when rounded to 1 d.p.

c = 8.7

Line AB is 8.7 cm long.

Answer:

15=x

Step-by-step explanation:

a^2 + b^2=c^2

=9^2 +12^2 =x^2

=81 +144=x^2

=/225 =/x^2

=15=x

Answer:

x = 12

Step-by-step explanation:

Use the right triangle altitude theorem.

16/x = x/9

x^2 = 16 * 9

x^2 = 144

x = 12

Answer:

132%

Step-by-step explanation:

The population of Peru = 10904

The population of Franklin = 25248.

Difference = 25248-10904=14,344

Expressing as a percentage of the population of Peru

[tex]\dfrac{14344}{10904} X 100[/tex]

=132%

Therefore, the population of Franklin is 132% more than the population of Peru.

Answer:

1.54

Step-by-step explanation:

The cotangent value is referred to as the reciprocal or the opposite of a given tangent value. Cotangent is also referred to as it's short form called cot

Mathematically, Cotangent (cot) = 1/tan

In the above question, we are given a value where:

tan = 33°

Cotangent (cot) = 1/tan 33°

Cotangent (cot) = 1.5398649638

We are told to approximate to the nearest hundredth

= 1.54

Answer:

The answers to this question are 1,2,4,6. Hope this helps you

Step-by-step explanation:

Statements A, B, E, and F are true. The second sample was taken at random using a fair sampling technique.

Probability is synonymous with possibility. It is concerned with the occurrence of a random event.

Probability can only have a value between 0 and 1. Its simple notion is that something is very likely to occur. It is the proportion of favorable events to the total number of events.

The correct statement is as follows;

A) The second sample is random.

B) The second sample is likely to be more representative of the population.

D) The second sample will give a better representation because is it larger.

F) Community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours a month.

The second sample was taken at random using a fair sampling technique.

Because the research using the larger data size is accepted rather than that of the smaller data, community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours.

A research's sample size is a crucial consideration. Additionally, the second sample is probably a better indicator of the broader population.

Hence statements A, B, E, and F are true.

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Answer:

14 units

Step-by-step explanation:

We apply the Theorem of reflection over parallel lines.

Theorem: The composition of two reflections over parallel lines that are h units apart is the same as a translation of 2h units.

Given that the two parallel lines are 7 units apart

h=7 units

2h= 2 X 7 =14 units

Therefore, the preimage and the final image will be 14 units apart.

Answer:

y=1/4x + 16

Step-by-step explanation:

Answer:

cccccccccccccccccccccccccccc

C!

Answer:

19-6x

Step-by-step explanation:

2/3(6-9x)+15

=4-6x+15

=19-6x

Answer:

Solution,

[tex] \frac{2}{3} (6 - 9x) + 15 \\ = \frac{2}{3} \times 6 - \frac{2}{3} \times 9x + 15 \\ = 4 - 6x + 15 \\ = 4 + 15 - 6x \\ = 19 - 6x[/tex]

Hope this helps...

Good luck on your assignment..