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MAXImum [283]
2 years ago
9

What is the measurement of angle B

Mathematics
2 answers:
Liono4ka [1.6K]2 years ago
6 0
Angles B and D are congruent so:

(360-112-74)/2=87°
Leya [2.2K]2 years ago
6 0
The measure of the angle is A, 87.

The total of all the angles have to add up to 360 and we know that the 2 missing angles have to be the same because the congruent lines.

112+74=186. 360-186=174/2=87

Hope this helps and have a great day! :D
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The deck of a bridge is suspended 275 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of
Ivenika [448]

Answer:

Our equation for the height is:

y(t) = 275 - 16*t^2.

a) To find the average velocity between two times, t1 and t2, (where t2 > t1) the equation is:

AV = \frac{y(t2) - y(t1)}{t2 - t1}

Then:

i) t1 = 4s, t2 = 4s + 0.1s = 4.1s

The average velocity is:

AV = \frac{(275 - 16*4.1^2) - (275 - 16*4^2)}{4.1 - 4} = \frac{16(4^2 - 4.1^2)}{0.1} = -129.6

And the units will be ft/s, so the average speed is:

-129.6 ft/s

The minus sign is because te pebble is falling down.

ii)  t1 = 4s, t2 = 4s + 0.05s = 4.05s

The average velocity is:

AV = \frac{(275 - 16*4.05^2) - (275 - 16*4^2)}{4.05 - 4} = \frac{16(4^2 - 4.05^2)}{0.05} = -128.8

So the average speed is -128.9 ft/s

iii)  t1 = 4s, t2 = 4s + 0.01s = 4.01s

The average speed is:

AV = \frac{(275 - 16*4.01^2) - (275 - 16*4^2)}{4.01 - 4} = \frac{16(4^2 - 4.01^2)}{0.01} = -128.16

The average speed is -128.16 ft/s.

b) The instantaneous velocity of the pebble after 4 seconds can be obtained by looking at the velocity equation, that is the derivative of the height equation.

v(t) = dy(t)/dt.

v(t) = -2*16*t + 0

Then the velocity at t = 4s is:

v(4s) = -32*4 = -128

The instantaneous velocity at t = 4s is -128 ft/s.

3 0
3 years ago
A video game that normally sells for $80 is on sale for $68. What is the percent of discount for the sale price?
Snezhnost [94]

Answer:

C

Step-by-step explanation:

68 - 80 / 80

= - 12 / 80

= - 3 / 20

= - 15%

4 0
2 years ago
Given sin(−θ)=−1/6 and tanθ=−√35/35 What is the value of cosθ?
murzikaleks [220]

Answer:

cos(\theta)=-\frac{\sqrt{35} }{6}

Step-by-step explanation:

Recall the negative angle identity for the sine function:

sin(- \theta)=-sin(\theta)  

Then, we can find the value of  sin(\theta):

sin(\theta)=-sin(-\theta)\\sin(\theta) =-(-\frac{1}{6} )\\sin(\theta)= \frac{1}{6}

Now recall the definition of the tangent function:

tan(\theta)=\frac{sin(\theta)}{cos(\theta)}

Therefore, now that we know the value of sin(\theta), we can solve in this equation for cos(\theta)

tan(\theta)=\frac{sin(\theta)}{cos(\theta)}\\-\frac{\sqrt{35} }{35} =\frac{1/6}{cos(\theta)} \\cos(\theta)=-\frac{\frac{1}{6} }{\frac{\sqrt{35} }{35} } \\cos(\theta)=-\frac{35}{6\,\sqrt{35} } \\cos(\theta)=-\frac{\sqrt{35} }{6}

5 0
2 years ago
How do you know that dividing by 1/6 is the same as multiplying by 6?
Natasha2012 [34]

Answer:6

Step-by-step explanation:

Why if 1/6 you have to 1 x 6 in Older to get 6

6 0
2 years ago
3. A map pencil drawer contains the following colors: 5 Purple, 3 Yellow,
natta225 [31]
Add up all the numbers together
it’ll give you 17
since they’re asking abt the probability of a purple being chosen twice, multiply 5 by 2 to give you 10
so 10/17
3 0
2 years ago
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