If the height of the rectangle is 4.8cm

20 + 30 × 0 + 1 = ok... can you answer it now?

vagabundo [1.1K]

20 + 30 × 0 + 1
= 20 + 0 + 1
= 21

6 0

3 years ago

I suck at figuring out the radius of a circle :c Can someone help please :(

kvv77 [185]

First question:

The line segment that is 40 ft long is a tangent to the circle, meaning it creates a right angle with the radius that intersects it.

Let $r$ be the radius of the circle.

We have a right triangle where the legs are $r$ and $40$ , and the hypotenuse is $(20+r)$

I'm hoping you remember the Pythagorean Theorem because this is going to be an important equation for this problem (and the next).

Let's use the dimensions of the right triangle and create a Pythagorean Theorem truth statement:

$r^2+40^2=(20+r)^2$

Simplify the right side so it's easier to solve

$r^2+1600=400+40r+r^2$

Subtract both sides by r²

$1600=400+40r$

Subtract both sides by 400

$1200=40r$

Divide both sides by 40

$r=30$

The value of r is 30, meaning the radius is 30 feet.

Second question:

Please look at the attached image, it would be too hard to try and describe this in words.

We have a right triangle where the legs have a length of 3.6 and half of the length of KL, which is 4.

The hypotenuse is the radius, x.

Use Pythagorean Theorem's to solve for x

$3.6^2+4^2=x^2$

Simplify

$x^2=28.96$

Use a calculator to take the square root of 28.96

$x=5.3814...$

The image is not complete so I can't see how I have to round it, so here are a few different ways this could be rounded:

To the nearest tenths: $x=5.4$

To the nearest hundredths: $x=5.38$

To the nearest thousandths: $x=5.381$

Answerer's Note:

I'm so sorry this took so long to answer. Let me know if you need any clarifications, thanks!

~ Padoru

3 0

3 years ago

Suppose you draw a card from a well-shuffled deck of 52 cards. What is the probability of drawing a 7 or a queen?

o-na [289]

Answer:

$\frac{8}{52}$ = 0.15384615384 = 15.38%

Step-by-step explanation:

There are 4 7 cards and 4 queen cards so,

$\frac{4}{52}$ + $\frac{4}{52}$ = $\frac{8}{52}$

6 0

3 years ago

Solve each word problem using a system of equations. Show work please! #59 and #60.

Effectus [21]

#59)

Joe: 5a + 4b = 6 (1st)

Dawn: 3a + 6b = 6.3 (2nd)

Multiply 1st equation by 3 and 2nd equation by (-5) to eliminate a

15a + 12b = 18

-15a - 30b = -31.5

------------------------------Add

-18b = - 13.5

b = 0.75

substitute b = 0.75 into 5a + 4b = 6

5a + 4(0.75) = 6

5a + 3 = 6

5a = 3

a = 0.6

Answer: Apple cost 60 cents each and banana cost 75 cents each

#60)

Wesley and Brian have total 87 baseball cards.

W + B = 87

Wesley has 30 less than twice as many as Brian

W = 2B - 30 (2nd)

So

W + B = 87

2B - 30 + B = 87

3B = 117

B = 39

W + 39 = 87

W = 48

Answer: Wesley has 48 cards and Brian has 39 cards

Hope they help.

3 0

3 years ago

Scottie is standing next to a lighthouse on the edge of a cliff overlooking the ocean. The cliff is 30 meters above sea level, a

RideAnS [48]

Complete question :

Scottie is standing next to a lighthouse on the edge of a cliff overlooking the ocean. The cliff is 30 meters above

sea level, and the lighthouse has a height of 15 meters. There is a man fishing in a boat directly below Scottie who

has hooked a fish that is 10 meters below the surface of the water.

a. Use positive and negative numbers to represent the locations in relation to sea level.

Scottie =

Top of the lighthouse =

The boat =

The fish =

meters

b. How far is Scottie from the fish?

Answer:

30 m ;

15 m ;

0 m;

40 m

Step-by-step explanation:

Scottie's position = standing on cliff

Height of cliff = 30 m above sea level

Height of lighthouse = 15 meters

Position of fish = 10m below sea level

Above sea level = positive, +

Below sea level = negative, -

Scottie's position = 30 m

Top of lighthouse = 15m

BOAT = surface of sea = 0m

Fish = - 10 m

Distance of Scottie from fish :

Scottie's position - Position of fish

30m - (-10)m

30m + 10m

= 40m

6 0

3 years ago