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SSSSS [86.1K]
3 years ago
14

Two rectangle are similar, the first 4 in wide and 15 in long. The second is 19 in. Wide. Find the length of the second rectangl

e?
Mathematics
1 answer:
AleksandrR [38]3 years ago
4 0

Answer:

the length of the second rectangle is 33.75 in

Step-by-step explanation:

The computation of the length of the second rectangle is as follows

Let us assume the length of the second triangle be x

Now

The equation would be

4 ÷ 15 = 9 ÷ x

Now do the cross multiplication

4x = 15 × 9

4x = 135

x = 33.75 in

Hence, the length of the second rectangle is 33.75 in

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Please help me solve this practice SAT question!
lord [1]

Answer:

t=5

Step-by-step explanation:

∵ (t,17) lies on (x,y) plane y=x²-3x+7,t>0

∴ 17=t²-3t+7

t²-3t+7-17=0

t²-3t-10=0

t²-5t+2t-10=0

t(t-5)+2(t-5)=0

(t-5)(t+2)=0

t=5,-2

t>0

so t=5

6 0
3 years ago
The Demand function for a product is given by:
VikaD [51]

Answer:

The average rate of change of Demand between 40 and 175 units sold is of -0.1045.

Step-by-step explanation:

Average rate of change:

The average rate of a function f(x) in an interval [a,b] is given by:

A = \frac{f(b) - f(a)}{b - a}

In this question:

D(q) = -0.0003q^2 - 0.04q + 23.56

What is the average rate of change of Demand between 40 and 175 units sold?

a = 40, b = 175. So

D(40) = -0.0003*40^2 - 0.04*40 + 23.56 = 21.48

D(175) = -0.0003*175^2 - 0.04*175 + 23.56 = 7.3725

So

A = \frac{f(b) - f(a)}{b - a} = \frac{7.3725 - 21.48}{175 - 40} = -0.1045

The average rate of change of Demand between 40 and 175 units sold is of -0.1045.

3 0
3 years ago
A giraffe is standing 22 feet from a naturalist hiding in the bush. The naturalist sights the animal and finds the angle of elev
kaheart [24]

Tan(angle) = opposite leg/ adjacent leg

Tan(30) = x/22

X = 22 * tan(30 )

X = 12.701 feet.

Round as needed

3 0
3 years ago
G(t)=t squared - 2; Find g(9)
GaryK [48]

Answer:

79

Step-by-step explanation:

So we have the function:

g(t)=t^2-2

To find g(9), substitute 9 for t. Thus:

g(9)=9^2-2

Square:

g(9)=81-2

Subtract:

g(9)=79

So, our answer is 79.

And we're done!

4 0
3 years ago
Which of the following functions is quadratic?
zysi [14]
The answer is C. 
The definition of a "quadratic equation" is any equation that has a variable with an unknown value to a power no less than or more than 2. A is not the answer because nothing is to the 2nd power. B, although is to the second power, is simplified into just 4, so it has neither an unknown variable nor power of 2. D is also incorrect because when the 3 is distributed, the equation is just simply 12-3x, which has no power of 2. So C is correct because when the 7x is distributed, you get the equation 7x^2 +21x, which has both a variable with an unknown value and a power of two. 
6 0
3 years ago
Read 2 more answers
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