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3 years ago

A wooden block in the shape of a rectangular pyramid is shown below:

Mathematics

2 answers:

Alenkinab [10]3 years ago

7 0

The correct answer is A triangle

olganol [36]3 years ago

4 0

Answer:

Triangle

Step-by-step explanation:

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g A 5 foot tall man walks at 10 ft/s toward a street light that is 20 ft above the ground. What is the rate of change of the len

vredina [299]

Answer:

$-\frac{10}{3}ft/s$

Step-by-step explanation:

We are given that

Height of man=5 foot

$\frac{dy}{dt}=-10ft/s$

Height of street light=20ft

We have to find the rate of change of the length of his shadow when he is 25 ft form the street light.

ABE and CDE are similar triangle because all right triangles are similar.

$\frac{20}{5}=\frac{x+y}{x}$

$4=\frac{x+y}{x}$

$4x=x+y$

$4x-x=y$

$3x=y$

$3\frac{dx}{dt}=\frac{dy}{dt}$

$\frac{dx}{dt}=\frac{1}{3}(-10)=-\frac{10}{3}ft/s=-\frac{10}{3}ft/s$

Hence, the rate of change of the length of his shadow when he is 25 ft from the street light= $-\frac{10}{3}ft/s$

7 0

3 years ago

Sara has 24 sweets

Tresset [83]

<h2>Hello!</h2>

The answer is:

The expression for the number of sweets that Sara and Tim have now, are:

$Sara=(17-x)Sweets\\\\Tim=\frac{(24+x)Sweets}{2}$

To write the expressions for the number of sweets that Sara and Tim have now, we need to follow the next steps:

Sara starts with 24 sweets and Tim starts with 24 sweets

$Sara=24 Sweets\\Tim=24 Sweets$

Then, Sara gives Tim x Sweets

$Sara=(24-x)Sweets\\Tim=(24+x)Sweets$

Then. Sara eats 7 of her Sweets

$Sara=(24-x-7) Sweets\\Sara=(17-x )Sweets\\Tim=(24+x) Sweets$

Then, Tim eats half of his sweets

$Sara=(17-x)Sweets\\\\Tim=\frac{(24+x)Sweets}{2}$

So, the expression for the number of sweets that Sara and Tim have now, are:

$Sara=(17-x) Sweets\\\\Tim=\frac{(24+x)Sweets}{2}$

Have a nice day!

8 0

3 years ago

A function is given. Determine the average rate of change of the function between the given values of the variable: f(x)= 4x^2;

nevsk [136]

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------$

$\bf f(x)= 4x^2 \qquad 
\begin{cases}
x_1=3\\
x_2=3+h
\end{cases}\implies \cfrac{f(3+h)-f(3)}{(3+h)~-~(3)}
\\\\\\
\cfrac{[4(3+h)^2]~~-~~[4(3)^2]}{\underline{3}+h-\underline{3}}\implies \cfrac{4(3^2+6h+h^2)~~-~~4(9)}{h}
\\\\\\
\cfrac{4(9+6h+h^2)~~-~~36}{h}\implies \cfrac{\underline{36}+24h+4h^2~~\underline{-~~36}}{h}
\\\\\\
\cfrac{24h+4h^2}{h}\implies \cfrac{\underline{h}(24+4h)}{\underline{h}}\implies 24+4h$

8 0

3 years ago

Can someone please help me ASAP

laiz [17]

Answer:

42 degrees

Step-by-step explanation:

7 0

3 years ago

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stellarik [79]