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weeeeeb [17]
3 years ago
13

at the same time a 15 foot pole casts a 7.5 foot shadow a nearby tree casts an 11 foot shadow how tall is the tree​

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
4 0

answer: 22

15/7.5 = x/11

cross multiply

7.5x = 165

divide by 7.5 on both sides to get the x alone

7.5x/7.5 = 165/7.5

x = 22

the tree is 22 feet

sorry if it’s wrong

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In a sample of 800 U.S. adults, 218 dine out at a restaurant more than once a week. If two U.S adults are selected at random fro
andre [41]

Answer: 0.074

Step-by-step explanation:

Given : The total number of U.S. adults in the sample = 800

The number of U.S. adults dine out at a restaurant more than once a week = 216

The probability for an adult dine out more than once per week :-

\dfrac{218}{800}

If another person is selected without replacement ,then

Total adults left = 799

Total adults left who dine out at a restaurant more than once a week = 217

The probability for the second person dine out more than once per week :-

\dfrac{217}{799}  

Now, the probability that both adults dine out more than once per week :-

\dfrac{218}{800}\times\dfrac{217}{799}=0.074

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3 years ago
5.6.AP-1<br> Solve the inequality.<br> 3 + 4x&gt; 27
iren [92.7K]

Answer:

The answer is X>6

if you click the image it will show the steps to solving the inequality. hope this helps.

8 0
3 years ago
Please help!! Quickly!
Dahasolnce [82]
Hello there! I can help you! So, we are looking for the x and y-intercepts. Let's start off with x. The x-intercept is where the line intersects the x-axis, when y is 0. We will replace y as 0. So the equation becomes 0 = -½x - 3. What we do first is add 3 to each side. -3 + 3 cancels out. 0 + 3 is 3. That leaves 3 = -1/2x. Now, multiply each side by 2 to isolate the x. -1/2 * -2/1 cancels out. 3 * -2 is -6. There. x = -6
Now, we will plug in x as 0 to find the y-intercept. The equation becomes y = -½(0) - 3. We know that anything time 0 is 0. We will combine like terms by subtract 3 from 0 to get -3. There. y = -3. Here are your answers for each.

x-intercept: (-6, 0)
y-intercept: (0, -3)
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3 years ago
X^2(y-z)+y^2(z-x)+z^2(x-y)
Daniel [21]
I think you just expand itlike this‍♀️

7 0
3 years ago
The functions f and g are differentiable for all real numbers x. The table below gives values for the functions and their first
sertanlavr [38]

Answer:

13/9

y =-22x+32

Step-by-step explanation:

Given that the functions f and g are differentiable for all real numbers x. The table below gives values for the functions and their first derivatives at selected values of x.

x f(x) f'(x) g(x) g'(x)

1 4 -3 5 2

2 -3 -1 4 6

3 π 8 -1 4

4 -5 unknown 0 3

a) h(x) = \frac{f(x)}{g(x)} \\h'(x) = \frac{g(x)f'(x)-f(x)g'(x)}{(g(x))^2}

(using quotient rule)

Substitute 1 for x

h'(1) = \frac{g(1)f'(1)-f(1)g'(1)}{(g(1))^2}\\=\frac{9-(-4)}{9} \\=\frac{13}{9}

b) r(x) = f(x) g(x)\\r'(x) = f(x) g'(x)+g(x)f'(x)

when x =2, r(x) = r(2) = f(2) g(2) = -12

point of contact is (2,-12)

Slope of tangent =r'(2) = f(2) g'(2)+g(2)f'(2)\\=-18+(-4) \\=-22

Using point slope form, tangent is

y+12 = -22(x-2)\\y = -22x +32

7 0
4 years ago
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