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3 years ago

In the parallelogram below find the value of each variable. Hint: find the value of t first

Mathematics

1 answer:

Svetllana [295]3 years ago

8 0

Answer:

because this is a parallelogram

=> 3t - 15 = 2t + 10

⇔ t = 10 + 15

⇔ t = 25

with t = 25 => 3t - 15 = 3.25 - 15 = 60

we also have:

4r + (3t - 15) = 180°

⇔ 4r + 60° = 180°

⇒ 4r = 120°

⇔ r = 30

we also have;

4r = 3s

=> 4.30 = 3s

⇔ s = 4.10

⇔ s = 40

Step-by-step explanation:

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Identify the vertex and the y-intercept of the graph of the function y--(x+3 +4

Daniel [21]

The vertex is at (-3, 4)

This can be found by looking at the basic form of vertex form:

y = (x - h)^2 + k

In this basic form the vertex is (h, k). By looking at what is plugged into the equation, it is clear that h = -3 and k = 4. This means the vertex is at (-3, 4).

The y-intercept is at 13. To find this we must first square the parenthesis and get the equation into standard form.

y = (x + 3)^2 + 4

y = x^2 + 6x + 9 + 4

y = x^2 + 6x + 13

Now we know that the y-intercept is equal to the constant, which is the last number in the equation.

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4 years ago

On a diagram of the arena, the car park’s length is 15 cm. The scale is 1:100. What is the actual length of the car park in metr

marissa [1.9K]

<span>15*100 = 1500 cms
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3 years ago

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Draw a quadrilateral that does not belong, then explain why. What should I draw and write?

Anna007 [38]

Answer

do u have a demonstration

picture

Step-by-step explanation:

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3 years ago

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webassign If a snowball melts so that its surface area decreases at a rate of 6 cm2/min, find the rate at which the diameter dec

drek231 [11]

Answer:

The answer is $\frac{3}{10\pi } cm/min$

Step-by-step explanation:

Assuming the snowball is a perfect sphere, then if A denotes the surface area and D the diameter then:

$A=4\pi r^{2} = 4\pi (\frac{D}{2} )^{2} =\pi D^{2}$

Differentiating wrt r we have:

$\frac{dA}{dD} =2\pi D$

We are told that $\frac{dA}{dt}= -6$ and we want to find $\frac{dD}{dt}$

By the chain rule we have:

$\frac{dA}{dD}=\frac{dA}{dt}.\frac{dt}{dD}=\frac{\frac{dA}{dt} }{\frac{dD}{dt} }$

∴ $2\pi D=-\frac{6}{\frac{dD}{dt} }$

∴ $\frac{dD}{dt}=-\frac{6}{2\pi D}$

When D=10 then

$\frac{dD}{dt} =-\frac{6}{10*2\pi } =-\frac{3}{10\pi }$

The sign (-) shows that the D is decreasing.

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3 years ago

I will mark you brainliest!!

stepan [7]

Answer:

C: .94

Step-by-step explanation:

7e^x=18

x=ln(18/7)

x=ln(2.5714)

x=.94

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3 years ago