Answer:
945 in²
Step-by-step explanation:
The scale factor of two figures is k.
The scale factor of their surface areas is k².
The scale factor of their volumes is k³.
1024 in² / 576 in² = 16/9 = k²
k = √(16/9) = 4/3
k³ = (4/3)³
k³ = 64/27
2240 in³ × 27/64 = 945 in²
») b. The area of the parallelogram is 65 ft2. What is its height? mm th 13 ft 13
Answer:
Five feet
Step-by-step explanation:
H = A ÷ L
H = 65 ÷ 13
H = 5 ft
Two numbers have a sum of 1,212 and a difference of 518. What are the two numbers?
Answer:
347 and 865
Step-by-step explanation:
Let the two number be x and y
Therefore, from the given information:
x + y = 1212
x - y = 518
Rewrite both equations to make x the subject:
x = 1212 - y
x = 518 + y
Equate equations and solve for y:
1212 - y = 518 + y
694 = 2y
y = 347
Substitute found value of y into one of the equations and solve for x:
x = 518 + 347
x = 865
Therefore, the two numbers are 347 and 865
PLS HELP I am giving 25 points here is the question
A shopkeeper sold 12 bags of potatoes for $2.99 each. He bought the potatoes for $1.90 for each bag what was his total profit
Find theFind tha amount of profit per bag by subtracting:
2.99 - 1.90 = 1.09
He made $1.09 profit per bag.
Now multiply the profit per bag by the number of bags:
1.09 x 12 = 13.08
Total profit = $13.08 amount of profit per bag by subtracting:
2.99 - 1.90 = 1.09
He made $1.09 profit per bag.
Now multiply the profit per bag by the number of bags:
1.09 x 12 = 13.08
Total profit = $13.08
A tunnel for an amusement park ride has the shape of a
regular hexagonal prism with dimensions shown. The prism
has a volume of 3,572.1 cubic meters. Can two 8-meter cars
connected by a 3-meter connector pass through the tunnel
at the same time? Explain.
The 3,572.1 m³ volume of the hexagon and the 19 m. length of the cars and 3-m connector, gives;
Yes, two cars connected by a 3 meter connector can pass through the tunnel at the same timeHow can the capacity of the tunnel be found?From a similar question, we have;
Side length of the hexagon = 8.1 m
Perpendicular distance from the center to a side of the hexagon = 7 m.
Therefore;
Cross sectional area of the hexagon, A is found as follows;
A = 6 × 0.5 × 7 × 8.1 = 170.1
Length of the tunnel, D = 3572.1 ÷ 170.1 = 21
D = 21 meters
Length of two cars and a connector, L = 8 + 8 + 3 = 19
The tunnel length, D = 21 m. is longer than the length of two cars and the connector, L = 19 m.
Therefore;
Two cars connected by a 3 meter connector can pass through the tunnel at the same time.Learn more about the volume of a prism here;
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what is math for
like what do we use it for whats the point of math no one uses it
Answer:
The study of the measurement, relationships, and properties of quantities and sets, using numbers and symbols.
Step-by-step explanation:
Can someone help this is due in like 20 minutes Find the value of x in the triangle shown below. 58° 6 6 5.8
Answer:
I'm wonde what it is because I like this stuff
The required value of angle x in the given triangle using the sine formula is 61.31
The triangle is shown in the figure, we have to determine the value of angle x in degrees.
To determine the angle, we must apply the sine formula using the angle-side combination.
Sine formula is given as:
sinA/a = sinB/b=sinC/c
sin58/5.8=sinx/6
Simplifying the above expression:
sinx=0.877
x = sin⁻¹(0.877)
x= 61.31°
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The base of a solid s is the region bounded by the circle x^2 y^2=16
The circle has a center at the origin (0, 0) and have a radius of 4 units.
What is a circle?A circle is the locus of a point such that its distance from a fixed point (center) is constant.
The standard equation of a circle is:
(x - h)² + (y - k)² = r²
Where (h, k) is the circle center and r is the radius.
The circle given by the equation:
x² + y² = 16
Hence the center is (0, 0) and the radius is 4 units.
The circle has a center at the origin (0, 0) and have a radius of 4 units.
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The center is (0, 0) and the radius is 4 units.
What is the circle?A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.
The base of a solid is s is the region bounded by the circle is;
[tex]\rm x^2+ y^2=16[/tex]
The standard equation of a circle is:
(x - h)² + (y - k)² = r²
Where (h, k) is the circle center and r is the radius.
On comparing with the standard equation of a circle;
h = 0 , k = 0 and r =4
Hence. the center is (0, 0) and the radius is 4 units.
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Calculate the mean and median of: 202, 199, 223, 198, 223, 223, 301, 199.
Answer:
mean =225.25, median= 212.5
Step-by-step explanation:
You add all the numbers and divided by the total numbers to get mean, and for get the median you need to put them in order and get the number that is between all the number it be the 202 and 223 so you divide the two number with two and it will be 212.5
Pls give brainliest ily<3
Find the probability of throwing a sum of 10 at least 7 times in 9 throws of a pair of fair dice
Answer:
19.308
Step-by-step explanation:
The probability of throwing a sum of 10 at least 7 times in 9 throws of a pair of fair dice is 0.083
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
We assume that the probability of throwing a sum of 10 in a pair of fair dice is
[tex]\frac{n(5,5)(6,4)(4,6)}{n\: all\: events}[/tex]
= 3/36
= 0.083
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i got the first part but cant figure out the second, help would be appreciated
Answer:
see explanation
Step-by-step explanation:
look at the explanation& answer photo
MN is a diameter of a circle with centre ' O ' . If BD = CD , prove that ∠OAD = ∠OCD
~Please help!! Thanks in advance:)
Answer:
[tex] \sf \: Proved \: \angle \: OAD \: = \angle \: OCD[/tex]
Step-by-step explanation:
Given:
Mn is diameter of circle having centre O
and BD = OD,
To prove that:
[tex]\angle \: OAD \: = \angle \: OCD[/tex]
Solution:
Join the points O and B and draw OB,
On joining the line,
in ∆OCD and ∆OBD,
OC =OB → (Radius of same circle)
BD =CD → (from given)
OD =OD → (Common side in both the triangles)
Hence ∆OCD and ∆OBD are congruent from SSS property.
so we can say that,
[tex]\angle \: OBD \: = \angle \: OCD[/tex]
Consider above prove as statement A
Corresponding angles of congruent traingle.
in ∆ OAB,
OA = OB (radius of same circle)
hence ∆OAB is an isosceles traingle.
We know that opposite angle of isosceles traingle are always equal. hence,
[tex]\angle \: OBD \: = \angle \: OAB \\ \angle \: OAB \: = \angle \: OAD (same \: angles) \\ \angle \: OBD \: = \angle \: OAD[/tex]
Consider above prove as statement B
From Statement A & B we can say that
[tex]\angle \: OAD \: = \angle \: OCD[/tex]
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The equation to model Exponential Decay is:
y = a[1 – r)
y= total amount
a= starting amount
r= the growth rate as a decimal
t= number of growth periods
Question 1 (1 point)
Sarah takes 550 mg of an antibiotic. Every hour,
her body breaks down 25% of the remaining drug.
How much will be left after 12 hours?
Guys help me please I really don’t understand this
I will give some hints. We know most values, we have to solve for y as that is the remaining amount.
y = We have to find.
a = 550 mg (She takes this much)
r = 0.25 (This is 25% as a decimal, don't forget to subtract 1)
t = 12 (This is because over the 12 hours, each hour it breaks down so (12 hours total * 1 hour periods) gives us 12 periods.
I hope this helps!
The first term in a sequence is 84. The pattern follows the rule add 24. What are the next four terms?
Answer: 108, 132, 156, and 180
Step-by-step explanation:
If you need to add 24 to the first term for the next 4 terms, you would have
84 + 24 = 108
108 + 24 = 132
132 + 24 = 156
156 + 24 = 180
So your sequence would be 108, 132, 156, and 180 for the next 4 terms.
Lillian walked 5 miles in 3 hours. What was her walking rate in miles per hour?
3
Answer:
5/3
Step-by-step explanation:
Given:
5 miles per 3 hoursThe question:
Rate formatted in miles per hour.
Which would be:-
5 miles per 3 hours
= 5/3
Find the missing dimension. Use the scale 1 : 15.
Actual Figure skater Height: 67. 5 in.
Answer:
4.5 inches
Step-by-step explanation:
1/15 of 67.5
This is if you are looking for the proportional height. That's all I can solve with given this info.
Lillie and Adam are simplifying the expression 643
Whose reasoning is correct?
Answer:
The first one
"Only Lillie is correct" that's the right answer.
Step-by-step explanation:
64^2/3 = 16
11:16 1
(
61
<
What is the area of this figure?
15 mi
4 mi
5 mi
11 mi
6 mi
4 mi
15 mi
18 mi
Write your answer using decimals, if
necessary.
Answer:
268
Step-by-step explanation:
Divide the figure into 3 pieces, a triangle, a rectangle, and another rectangle.
Triangle area=18*(15+6+1) * 1/2, or 189
Rectangle 1= 4*11= 44
Rectangle 2= 7*5= 35
Add all up, get 268
A researcher examined a random sample of 300 homes in a small city and found that 47 had solar panels installed on their roofs. Use the sample to construct a 99% confidence interval for the proportion of all homes in the city that have solar panels installed on their roofs. What is the sample proportion? **Round to two decimal places
The confidence interval for the sample proportion is [tex]CI = 0.16 \pm 0.0545[/tex]
How to calculate the confidence interval for proportion?The formula for calculating the confidence interval for proportion is expressed as:
[tex]p \pm z\sqrt{p(1-p)/n[/tex]
p is the proportion
z is the z score at 99% interval
n is the sample size
Given the following parameters
[tex]p=\frac{47}{300} = 0.16\\z=2.576\\n=300[/tex]
Substitute the values
[tex]CI = 0.16 \pm 2.576\sqrt{0.16(0.84)/300}\\CI=0.16\pm2.576(0.02116)\\CI = 0.16 \pm 0.0545[/tex]
Hence the confidence interval for the sample proportion is [tex]CI = 0.16 \pm 0.0545[/tex]
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The volume of a right triangular prism is 72 cubic feet. the height of the prism is 9 feet. the triangular base is an isosceles right triangle. a right triangular prism has a volume of 72 cubic feet. triangles a e c and b f d are the base triangles. sides f d and b f are congruent and form a right angle. the height of the prism is 9 feet. what is the area of the triangular base? square feet what is the length of edge df? feet
Answer:
8 square feet
Step-by-step explanation:
The formula of a volume of a prism:
We have
Substitute:
divide both sides by 9
Answer:
8 and 4Step-by-step explanation:
The first one is 8
The second one is 4
3. Si:{3x− (a − 2)y = 13 4x+ ay = 5 Es un sistema compatible determinado,determina el valor que no puede tomar “
Answer: yes
Step-by-step explanation:
There is a population of 56,950 bacteria in a colony. If the number of bacteria doubles every 370 hours, what will the population be 1,850 hours from now?
Answer:
370×1850= 6,84,500
and then
56,950+6,84,500=7,41,450
the population will be 7,41,450
The population of bacteria after 1850 hrs in a colony, if the number of bacteria doubles every 370 hours, is 1822400.
What is multiplication?Along with addition, subtraction, and division, multiplication is one of the four basic mathematical operations. In mathematics, multiply refers to the continuous addition of sets of the same size.
Given:
The population of bacteria, P = 56950,
If the number of bacteria doubles every 370 hours then in 1850 hrs = 1850 / 370 = 5,
So, the no doubles 5 times in 1850 hrs,
Now if it doubles 1 time it will be 56950 × 2, and
for 5 times double population will be = 56950 × 2 × 2 × 2 ×2 × 2
P = 1822400
Therefore, the population of bacteria after 1850 hrs in a colony, if the number of bacteria doubles every 370 hours, is 1822400.
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100 POINTS !! The trajectory of a potato launched from a potato cannon on the ground at an angle of 45 degrees with an initial speed of 70 meters per second can be modeled by the parabola f(x) = x − 0.002x2, where the x-axis is the ground. Find the height of the highest point of the trajectory and the horizontal distance the potato travels before hitting the ground. A.height: 125 m; distance: 500 m B.height: 250 m; distance: 22 m C. height: 500 m; distance: 125 m D. height: 22 m; distance: 250 m
Answer:
height: 125m; distance: 500m
Step-by-step explanation:
x = 250
f(x) = x − 0.002x2
f(x) = 250 − 0.002(250 )2
= 250 − 0.002(62,500)
= 250 − 125
= 125
250 times 2 = 500
[tex]\\ \rm\rightarrowtail y=x-0.002x^2[/tex]
So
Put 250[tex]\\ \rm\rightarrowtail y=250-0.002(250)^2[/tex]
[tex]\\ \rm\rightarrowtail y=250-0.002(62500)[/tex]
[tex]\\ \rm\rightarrowtail y=250-125[/tex]
[tex]\\ \rm\rightarrowtail y=125m[/tex]
This is max heightDistance:-
2×height2×125500mIn a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize
Answer:
Divide 10 by 25 then multiply by 4 to get 40 / 100 which gives you the percentage: 40%
maximum numbers of circles can be drawn through three noncollinear point is
Answer:
find the product of (4m-n)and(3m-2n)
Answer:
1
Step-by-step explanation:
the number of circles which can pass through three given non-collinear points is exactly one.
the reason is that the center of such a circle must be on the (perpendicular) bisectors of the lines between each pair of these points.
these bisectors intersect at one unique point which is the center of the circle and the distance of any point from the center is the radius. So given three non collinear points fixes the center and the radius thereby giving us one unique circle.
the same way we find the circumscribing circle of a triangle, which is exactly the same situation.
True or false the incenter of a triangle is the center of the only circle that can be circumscribed about it?
Answer:
true because the center of the triangle is in the middle
what three ratios are equivalent to 6/18
Answer: 3:9, 1:3, 12:36
Step-by-step explanation: just multiply or divide your numerator and denominator by the same number. For the first one, I divided both 6 and 18 by 3, for the second I divided both 6 and 18 by 6, and for the last one I multiplied both 6 and 18 by 2. Hope this helps.
[tex]f(x) = 4x + 3[/tex]
[tex]g(x) = 5x - 4[/tex]
[tex]fg(x) = 20x + p[/tex]
Find the value of
[tex]p[/tex]
Let's see
[tex]\\ \rm\rightarrowtail (fog)(x)=f(g(x))[/tex]
[tex]\\ \rm\rightarrowtail f(5x-4)=20x+p[/tex]
[tex]\\ \rm\rightarrowtail 4(5x-4)+3=20x+p[/tex]
[tex]\\ \rm\rightarrowtail 20x-16+3=20x+p[/tex]
[tex]\\ \rm\rightarrowtail -13=p[/tex]
Answer:
[tex]\sf p = -13[/tex]
Step-by-step explanation:
Given functions:
[tex]\sf f(x)=4x+3[/tex]
[tex]\sf g(x)=5x-4[/tex]
[tex]\sf fg(x)=20x+p[/tex]
[tex]\sf fg(x)=f[g(x)][/tex]
This means g(x) is substituted for x in f(x).
[tex]\sf \implies f[g(x)]=4[g(x)]+3[/tex]
[tex]\sf =4(5x-4)+3[/tex]
[tex]\sf= 20x-16+3[/tex]
[tex]\sf =20x-13[/tex]
[tex]\sf f[g(x)]=f[g(x)][/tex]
[tex]\sf \implies 20x+p=20x-13[/tex]
[tex]\sf \implies p=-13[/tex]
Juwan and his friend Jamie are watching their favorite tech penny stocks in the stock market. The initial value of Jamie’s stock was $4.00, while Juwan’s stock’s initial value was $0.00. Because of some incredible turns in the market this morning, the stocks are now increasing in value. Every time Juwan’s stock rises by $4.00, Jamie’s stock increases by $3.00. If these stock gains remain constant throughout the day, perform the following:
a. Convert this scenario into two linear equations; show both the standard form and the slope-intercept form for both equations.
b. Explain how you decided to label the axes.
c. What are the realistic bounds for the domain and range of today’s stock gains? Explain your answer.
d. Does this scenario imply correlation or causation? Explain your answer.
Linear equations in slope intercept form for the given scenarios:
Juwan: y = 4x + 4
Jamie: y = 3x
Linear equations in standard form for the given scenarios:
Juwan: y - 4x = 4
Jamie: y - 3x = 0
Where, y = current stock value and x = number of times the stock value increased.
Domain: Set of natural number.
Range: Real number greater than or equal to 0.
This scenario is an example of causation.
What is standard form of line?The standard form of a line is Ax + By = C, where A and B are not both zero.
In the given scenario, we take
y = the present stock value of Jamie and Juwan.
x = number of times the stock value increased.
where, y depends upon x.
Juwan: y - 4x = 4
Jamie: y - 3x = 0
What is slope intercept form?The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis).
Juwan: y = 4x + 4
Slope = 4
y - intercept = 4
Jamie: y = 3x
Slope = 3
y - intercept = 0
What is domain and range?The domain is the set of all the input values of a function and range is the possible output given by the function.
In this particular question, x is the number of times stock price increased. Thus, it can be 0, 1, 2, 3....set of natural number. y is the current stock price. The stock price was positive in the beginning and has been increasing since then, therefore y lies in the set of positive real number.
What is causation?Causation means that one variable causes another to change, which means one variable is dependent on the other. Here, the price of stock depends upon the number of times its value increased.
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What is the longest line segment that can be drawn in a right rectangular prism that is 14 cm long, 11 cm wide, and 9 cm tall?
Answer:
the longest segment is between 14 and 9
Step-by-step explanation:
this is the best answer in my eyes
The length of the diagonal of the rectangular prism will be 19.95 centimeters.
What is the diagonal of the rectangular prism?A rectangle's longitudinal divides it into two equivalent right triangles. A rectangle's diagonal elements are all the same length. A rectangle is a rectangle whose diagonal elements bisect one another, cross at right angles, and are identical.
The length of the diagonal of the rectangular prism is given as,
D² = L² + W² + H²
The dimensions of the rectangular prism will be 14 cm long, 11 cm wide, and 9 cm tall.
The diagonal length is calculated as,
D² = 14² + 11² + 9²
D² = 196 + 121 + 81
D² = 398
D = 19.95 cm
The length of the diagonal of the rectangular prism will be 19.95 centimeters.
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Please I need answer quickly
how many ways can you form 3 groups from 18 people so that there's 3 people in first group, 6 people in the second group and 9 people in third
Answer:
4 084 080 ways
Step-by-step explanation:
The number of ways is :
[tex]C^{3}_{18}\times C^{6}_{15}\times C^{9}_{9}[/tex]
___________
Since
18C3=816
15C6=5 005
9C9=1
then
[tex]C^{3}_{18}\times C^{6}_{15}\times C^{9}_{9}=816\times5005\times1= 4\ 084\ 080[/tex]