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3 years ago

What is the radius and diameter of the following circle?

Mathematics

1 answer:

ycow [4]3 years ago

8 0

the diameter is the number given, 7 and the radius is half of the diameter so radius=3.5

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An architect built a scale model of a

gladu [14]

Answer:

The right answer is D ( 12 in )

3 in - - - - > 45 feet

x in - - - - > 180 feet

-----------------------------

45*x=3*180 - - > 45*x=540 - - > x=540/45=12

4 0

3 years ago

A stone is thrown vertically upward from a platform that is 20 feet height at a rate of 160 ft/sec. Use the quadratic function h

Nutka1998 [239]

Check the picture below.

$\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-16}x^2\stackrel{\stackrel{b}{\downarrow }}{+160}x\stackrel{\stackrel{c}{\downarrow }}{+20} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)$

$\left(-\cfrac{ 160}{2(-16)}~~~~ ,~~~~ 20-\cfrac{ (160)^2}{4(-16)}\right) \implies \left( - \cfrac{ 160 }{ -32 }~~,~~20 - \cfrac{ 25600 }{ -64 } \right) \\\\\\ \left( 5 ~~~~ ,~~~~ 20 +400 \right)\implies (\stackrel{seconds}{5}~~,~~\stackrel{feet}{420})$

6 0

1 year ago

A pyramid-shaped vat has square cross-section and stands on its tip. The dimensions at the top are 2 m × 2 m, and the depth is 5

Strike441 [17]

Answer:

the water level increases at a rate of 1.718 m/min when the depth is 4 m

Step-by-step explanation:

the volume of the pyramid is

V = (1/3)(height)(area of base) = 1/3 H*L²

For the diagonal in the pyramid

tg Ф = Side Length/ Height = L / H = x / h

where h= depth of water , x= side of the corresponding cross section

therefore x= L *h/H

the volume of the water is

v= 1/3 h*x² = 1/3 (L/H)² h³

in terms of time

v = Q*t

then

Q*t = 1/3 (L/H)² h³

h³ = 3*(H/L)² *Q *t

h = ∛(3*(H/L)² *Q *t) = ∛(3*(H/L)² *Q) *∛t = k* ∛t , where k=∛(3*(H/L)² *Q)

h = k* ∛t

then the rate of increase in depth is dh/dt

dh/dt = 1/3*k* t^(-2/3)

since

t = (h/k)³

dh/dt = 1/3*k* t^(-2/3) = 1/3*k* (h/k)³ ^(-2/3) = 1/3*k* (h/k)^(-2) = 1/3 k³ / h²

= 1/3 (3*(H/L)²*Q) / h² = (H/L)²*Q /h²

dh/dt= [H/(h*L)]²*Q

replacing values, when h=4m

dh/dt= [H/(h*L)]²*Q = [5m/(4m*2m)]² * (3m³/min)= 1.718 m/min

8 0

3 years ago

Which function has a range of all real numbers greater than or equal to -4?

max2010maxim [7]

Answer:

C. $f(x)=(x+1)^2-4$

Step-by-step explanation:

A. the graph is a straight line with slope 1. It goes up/down infinitely far so the range is all real numbers. Not A!

B. The graph is a straight line with slope -4, so, like the function in A, the range is all real numbers. Not B!

D. The graph is an absolute value function y = |x|, reflected over the x-axis, shifted right 3 units, then shifted down 4 units. So the graph starts witha "vee" shape opening up, becomes a vee opening <u>down</u>, then ultimately gets shifted down 4 units. The range is all real numbers less than or equal to -4.

See the attached graphs. image2 is the function in answer choice D.

7 0

3 years ago

What is 4501/5 equaled to?

melamori03 [73]

<h3>My answer~</h3>

900.2 or 900 1/5

<h3>My Step-by-step explanation~</h3>

basically just divide

then convert to fraction or leave as is

4 0

3 years ago

Read 2 more answers

What is the radius and diameter of the following circle?​

What is the radius and diameter of the following circle?