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3 years ago

Can you guys please help me

Mathematics

1 answer:

ICE Princess25 [194]3 years ago

3 0

9514 1404 393

Answer:

see below

Step-by-step explanation:

Each vertex has a single-letter label.

Each edge joins two vertices, and is named by naming those two vertices.

Each polygon is named by listing the vertices at its corners. It is a plane figure.

The base is the polygon opposite the point where all of the triangles come together.

16. figure: pentagonal pyramid ABCDEF

17. base: ABCDE

18. faces: ABF, BCF, CDF, DEF, AEF, ABCDE (the bottom face, or base)

19. edges: AB, BC, CD, DE, AE, FA, BF, CF, DF, EF

20. vertices: A, B, C, D, E, F

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A train is traveling at 60 mph. If the rate of speed increases 4 mph each hour,

Alenkasestr [34]

Answer:

B) 5 hours

Step-by-step explanation:

First, find the amount of mph between 60 and 80:

80 - 60

= 20 mph

Since the speed increases 4 mph per hour, we can find how long it will take to get to 80 mph by dividing 20 by 4:

20/4

= 5

So, the correct answer is B, 5 hours

6 0

3 years ago

A study of recent records of car accidents revealed that average proportion of drivers who were distracted by their phones at th

aksik [14]

Answer:

At least 547 records need to be studied.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

Z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

And the margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence interval

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $z = 1.96$ .

In this problem, we have that:

$M = 0.04, p = 0.35$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 1.96\sqrt{\frac{0.35*0.65}{n}}$

$0.04\sqrt{n} = 0.93486$

$\sqrt{n} = 23.37$

$n = 546.2275$

At least 547 records need to be studied.

6 0

4 years ago

Four times a number decreased by 13 minus 2 times the same number is 9. What is the number?

Flura [38]

Answer:

The number is 59

Step-by-step explanation:

13×4-2+9=59

6 0

3 years ago

Find the length of WR<br><br>If M <WCR = 49 and CR = 7. What is WR

UkoKoshka [18]

We know that
if ∠WCR=49°
then
measure arc WR=49°-------> by central angle

circumference C=2*pi*r
for r=7 in
C=2*pi*7-----> 43.96 in

if 360°(full circle) has a length of----------> 43.96 in
49°---------------> x
x=49*43.96/360-----> x=5.98 in

alternative method
applying the formula
L=(∅/360°)*2*pi*r
where
∅ is the angle in degrees
r is the radius
L=(49°/360°)*2*pi*7------> L=5.98 in

the answer is
5.98 in

4 0

3 years ago

Read 2 more answers

What is the directrix of the parabola defined by 1/4(y+3)=(x-2)^2

Charra [1.4K]

This is a parabola which opens upwards and the directrix will be of the form
y = k

the general form is

4p(y - k) = (x - h)^2 we have:-

1/4(y + 3) = (x - 2)^2

so the vertex is at (2, -3)

4p = 1/4 so p = 1/16

so the focus will be at (2 , -2 15/16)

and directrix is y = -3 1/16

4 0

3 years ago