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ValentinkaMS [17]
3 years ago
7

A rectangle school banner has a length of 44 inches, a perimeter of 156 inches , and an area of 1496 square inches. The cheerlea

ders make signs similar to the banner. The length of a sign is 11 inches. What is its perimeter and its area ?
Mathematics
1 answer:
Andrej [43]3 years ago
7 0
Based on the lengths, the cheerleaders' banner is scaled down by a factor of 4.

So, 44 ÷ 4 = 11.

For the perimeter, 156 ÷ 4 is 39.

For the area, you have to do A=bh
(Area = base × height)

The base (length) is 11 inches, multiply that by two to get 22 inches which is the amount for both lengths. If the total perimeter is 39, you have to subtract 22 from that to get the remaining inches which is 17.
17÷2= 8.5 inches. The height is 8.5.

Now you can plug them in
A=bh
A=(11)(8.5)
A=93.5 in^2

The final answer is:
Area = 93.5 in^2
Length = 11 in
Perimeter = 39 in

I hope that helps!
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Likurg_2 [28]
First, find the area of the whole square.

Area= Base times height= 48 times 96 = 4608

Next, find the area of ONE circle. The diameter is 12, so the radius would be 6

A=πr sqaured= 3.14 times 6 squared = 113.04

Next multiply by 3, since there are 3 circles.

113.04 times 3 =339.12

Subtract this value from the total area (4608)

4608-339.12=4268.88

ANSWER: 4268.88

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3 years ago
A city traffic light cycles through green, yellow, and red in 60 seconds. It is yellow for 3 seconds. Which term best describes
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Answer:

c

Step-by-step explanation:

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3 years ago
The wingspans of a common species of housefly are normally distributed with a mean of 5mm and a standard deviation of 0.5mm. Sup
Anuta_ua [19.1K]

Answer:

Approximately Normal

Step-by-step explanation:

Since the population is normally distributed, the sampling distribution of the sample mean will also be normally distributed, even when the sample size is small.

6 0
2 years ago
On a coordinate plane, quadrilateral Q R S T has points (0, 2), (negative 4, 0), (0, negative 3), and (4, 0).
Afina-wow [57]

By applying the definitions of <em>rigid</em> transformation ((x, y) → (0.5 · x, 0.5 · y)) and dilation, we conclude that the coordinates of Q'(x, y) are (0.1).

<h3>How to apply rigid transformations on a point</h3>

Herein we must apply a rigid transformation into a given point to determine an image. <em>Rigid</em> transformations are transformations applied on a <em>geometric</em> locus such that <em>Euclidean</em> distance is conserved. Dilations are a kind of <em>rigid</em> transformations such that:

(x, y) → (k · x, k · y), for k > 0

If we know that Q(x, y) = (0, 2) and k = 0.5, then the coordinates of Q' are:

Q'(x, y) = (0.5 · 0, 0.5 · 2)

Q'(x, y) = (0, 1)

By applying the definitions of <em>rigid</em> transformation ((x, y) → (0.5 · x, 0.5 · y)) and dilation, we conclude that the coordinates of Q'(x, y) are (0.1).

To learn more on dilations: brainly.com/question/13176891

#SPJ1

8 0
2 years ago
If your balance after 8 years in the bank at a rate of interest of 11%% is 3783193 how much was your original deposit? 29 Origin
Wittaler [7]

Answer:

The original amount deposit is $1641627.68.

Step-by-step explanation:

Given : If your balance after 8 years in the bank at a rate of interest of 11%% is 3783193.

To find : How much was your original deposit?  

Solution :

Applying interest formula,

A=P(1+r)^t

Where, A is the amount i.e. A=$3783193

P is the principal value i.e. the original deposit

r is the interest rate r=11%=0.11

t is the time t=8 years.

Substitute the value in the formula,

3783193=P(1+0.11)^8

3783193=P(1.11)^8

3783193=P\times 2.30

P=\frac{3783193}{2.30}

P=1641627.68

Therefore, The original amount deposit is $1641627.68.

3 0
3 years ago
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