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2 years ago

If the measure of <3 is 117 degrees, what is the measure of <7?

Mathematics

2 answers:

V125BC [204]2 years ago

7 0

Answer:

117

Step-by-step explanation:

The answer is 117 because angle 3 and 7 are corresponding so they have the same measure

Hope this helps dude ^-^

iVinArrow [24]2 years ago

6 0

Answer: the measure of <7= 117

Step-by-step explanation: they zig zag so angle of 2,3,6 and 7 equal 117

while 1,4,5 and 8 equal 63( you can get 63 by doing 180-117) all angles side by side equal 180, so for example <1 and <2 equal 180, <3 and <4 equal 180.

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A pole that is 2.7 m tall casts a shadow that is 1.56 m long. At the same time , a nearby building casts a shadow that is 38.25

zzz [600]

Set up a ratio of height/ shadow

2.7/1.56 = x/38.25

Cross multiply:

1.56x = 103.275

Divide both sides by 1.56

X = 66.2

Round to nearest meter = 66

Answer: 66 meters

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7 more than 11 times a number in algebraic expression

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3 years ago

Read 2 more answers

Jamie is riding a Ferris wheel that takes fifteen seconds for each complete revolution. The diameter of the wheel is 10 meters a

Agata [3.3K]

Answer:

The answers to the question is

(a) Jamie is gaining altitude at 1.676 m/s

(b) Jamie rising most rapidly at t = 15 s

At a rate of 2.094 m/s.

Step-by-step explanation:

(a) The time to make one complete revolution = period T = 15 seconds

Here will be required to develop the periodic motion equation thus

One complete revolution = 2π,

therefore the we have T = 2π/k = 15

Therefore k = 2π/15

The diameter = radius of the wheel = (diameter of wheel)/2 = 5

also we note that the center of the wheel is 6 m above ground

We write our equation in the form

y = $5*sin(\frac{2*\pi*t}{15} )+6$

When Jamie is 9 meters above the ground and rising we have

9 = $5*sin(\frac{2*\pi*t}{15} )+6$ or 3/5 = $sin(\frac{2*\pi*t}{15} )$ = 0.6

which gives sin⁻¹(0.6) = 0.643 = $\frac{2*\pi*t}{15}$

from where t = 1.536 s

Therefore Jamie is gaining altitude at

$\frac{dy}{dt} = 5*\frac{\pi *2}{15} *cos(\frac{2\pi t}{15}) =$ 1.676 m/s.

(b) Jamie is rising most rapidly when the velocity curve is at the highest point, that is where the slope is zero

Therefore we differentiate the equation for the velocity again to get

$\frac{d^2y}{dx^2} = -5*(\frac{\pi *2}{15} )^2*sin(\frac{2\pi t}{15})$ =0, π, 2π

Therefore $-sin(\frac{2\pi t}{15} )$ = 0 whereby t = 0 or

$\frac{2\pi t}{15}$ = π and t = 7.5 s, at 2·π t = 15 s

Plugging the value of t into the velocity equation we have

$\frac{dy}{dt} = 5*\frac{\pi *2}{15} *cos(\frac{2\pi t}{15}) =$ - 2/3π m/s which is decreasing

so we try at t = 15 s and we have $\frac{dy}{dt} = 5*\frac{\pi *2}{15} *cos(\frac{2\pi *15}{15}) = \frac{2}{3} \pi$ m/s

Hence Jamie is rising most rapidly at t = 15 s

The maximum rate of Jamie's rise is 2/3π m/s or 2.094 m/s.

7 0

2 years ago

Rewrite using a single positive exponent

Korolek [52]

Answer:

9³

Step-by-step explanation:

We need to find the value of $\dfrac{9^5}{9^2}$ .

We know that,

$\dfrac{x^a}{x^b}=x^{a-b}$

Here, a = 5 and b = 2.

So,

$\dfrac{9^5}{9^2}=9^{5-2}\\\\=9^3$

So, the answer to the given expression is 9³.

7 0

2 years ago