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3 years ago

What is the value of x ?

Mathematics

1 answer:

Eduardwww [97]3 years ago

5 0

The other side of 100° is 80 and 80 + 70 = 150

A triangle equals to 180 so..

180 - 150 = 30

The value of x is 30.

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Ben bought 6 choclate csndies for $1.86.how many choclate candies can benn buy for 3.42

Irina-Kira [14]

Answer: 7 chocolate candies

Step-by-step explanation: Ben would buy 7 chocolate candies for $3.42 because for 6 it would be $1.86 for 7 it would be $3.42.

7 0

3 years ago

PLEASE HELP ME with an explanation. Thanks in advance

REY [17]

Answer:

3) 0.30

The probability a randomly selected student plays a sport given they work part time = 0.30

Step-by-step explanation:

Step(i):-

Given 'A' plays a sport

B work part time

Given P(A) = 0.48

P(B) = 0.40

P(A∩B) =0.12

P(A∪B)¹ =0.24

Step(ii):-

By using conditional probability

$P(B/A) = \frac{P(BnA}{P(A)}$

and similarly $P(A/B) = \frac{P(AnB}{P(B)}$

The probability a randomly selected student plays a sport given they work part time

Now $P(A/B) = \frac{P(AnB}{P(B)}$

$P(A/B) = \frac{0.12}{0.40}= 0.30$

Final answer:-

The probability a randomly selected student plays a sport given they work part time = 0.30

8 0

3 years ago

In the fall, you charge people $8 for going to their house to

luda_lava [24]

Answer:

Step-by-step explanation:

5x + 8 = 38

5x = 30

4 0

3 years ago

Read 2 more answers

The following is a floor plan for a dog run that is in Jorge’s Backyard. Use the clues below (PICTURE) to determine the dimensio

ch4aika [34]

Okay! I think I figured it out.

So you know that A + B + C + D + E + F = 36 ft.

You also know that A + C = E and that B + D = F.

Now they give you the clue that E is 8 ft.

They also tell you that A, B, C, and D are consecutive numbers. Meaning that they are right next to each other so like 1, 2, 3, and 4.

Based on this, I got that A = 3 ft., B = 4 ft., C = 5 ft., and D = 6 ft. Then I made sure that 3 ft. + 5 ft. = 8ft. True. Then I concluded that F must be equal to 10 ft.

I added (A) 3 ft. + (B) 4 ft. + (C) 5 ft. + (D) 6 ft. + (E) 8 ft. + (F) 10 ft. = 36 ft.

4 0

3 years ago

A man walks along a straight path at a speed of 3 ft/s. A searchlight is located on the ground 4 ft from the path and is kept fo

Alika [10]

Answer:

0.48 rad/sec

Step-by-step explanation:

From the diagram:

We can find 'x' using trigonometry :

Tanθ = opposite / Adjacent

Opposite = x ; adjacent = 4

Tanθ = x / 4

x = 4tanθ

Let u = 4 and v = tanθ

If dx/dt = 3ft/s ;

dθ/dt when x = 3ft

Differentiate x with respect to t

dx/dt (4tanθ)

Let d/dθ tanθ = sec^2θ

Sec^2θ = 1 / cos^2θ

dθ/dt = 1/4cos^2θdx/dt

dθ/dt = 1/4cos^2θ(3)

dθ/dt = 3/4cos^2θ

When x = 3ft

Cosθ = Adjacent / Hypotenus

Hypotenus = √(4^2 + 3^2

Hypotenuse = √16 + 9 = √25 = 5

Cosθ = 4/5

dθ/dt = 3/4(4/5)^2

dθ/dt = 3/4(16/25)

dθ/dt = 48/100 = 12/25 = 0.48 rad/sec

3 0

3 years ago