All categories

3 years ago

If B is in the interior of ∠DEF, m∠DEB = 27.2, and m∠DEF = 92.5, find m∠ BEF.

Mathematics

1 answer:

AysviL [449]3 years ago

5 0

Answe

92.5 and 27.2 and 65.3 will be the answer.

You might be interested in

Rewrite the range of each company’s wireless access devices in feet using scientific notation. (5,280 feet =1 mile)

Sauron [17]

Answer:

Ivan’s range: 2,640 = 2.64 x 10^3 ft

Winnies
range: (2.5)5280 = 13200 = 1.32 x 10^4 ft

Winnies WiFi has the greater range

3 0

2 years ago

Read 2 more answers

The graph h = −16t^2 + 25t + 5 models the height and time of a ball that was thrown off of a building where h is the height in f

Thepotemich [5.8K]

Answer:

part 1) 0.78 seconds

part 2) 1.74 seconds

Step-by-step explanation:

step 1

At about what time did the ball reach the maximum?

Let

h ----> the height of a ball in feet

t ---> the time in seconds

we have

$h(t)=-16t^{2}+25t+5$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The x-coordinate of the vertex represent the time when the ball reach the maximum

Find the vertex

Convert the equation in vertex form

Factor -16

$h(t)=-16(t^{2}-\frac{25}{16}t)+5$

Complete the square

$h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+5+\frac{625}{64}$

$h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+\frac{945}{64}\\h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+\frac{945}{64}$

Rewrite as perfect squares

$h(t)=-16(t-\frac{25}{32})^{2}+\frac{945}{64}$

The vertex is the point $(\frac{25}{32},\frac{945}{64})$

therefore

The time when the ball reach the maximum is 25/32 sec or 0.78 sec

step 2

At about what time did the ball reach the minimum?

we know that

The ball reach the minimum when the the ball reach the ground (h=0)

For h=0

$0=-16(t-\frac{25}{32})^{2}+\frac{945}{64}$

$16(t-\frac{25}{32})^{2}=\frac{945}{64}$

$(t-\frac{25}{32})^{2}=\frac{945}{1,024}$

square root both sides

$(t-\frac{25}{32})=\pm\frac{\sqrt{945}}{32}$

$t=\pm\frac{\sqrt{945}}{32}+\frac{25}{32}$

the positive value is

$t=\frac{\sqrt{945}}{32}+\frac{25}{32}=1.74\ sec$

8 0

2 years ago

What is 22% of 50? ОА. ОВ. 28 Ос. 22 OD. 11

natima [27]

Answer:

Step-by-step explanation:

3 0

2 years ago

Where does the line y = 4x + 1 intersect the y-axis (the y-intercept)?

Nataliya [291]

Answer:

(0,1)

Step-by-step explanation:

The equation for slope is y=mx+b.

The b value stands as the y - intercept.

6 0

2 years ago

What is the product? 8(–1) A. –1.4 B. –8 C. 8 D. 11.2

enot [183]

B: -8
8 times 1 = 8, and since there is a negative in front of the 1 when you are multiplying, it should be -8/

7 0

2 years ago

Read 2 more answers