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Naily [24]
3 years ago
5

Help with #9 pleaseeee

Mathematics
1 answer:
Molodets [167]3 years ago
3 0

Answer:

9' - 1.29"

Step-by-step explanation:

Total rise = 5' - 2"

Total run = 7' - 6"

1' = 12" = 1 feet = 12 inches

5' = 5 * 12 = 60"

3' = 7 * 12 = 84"

Total rise = 60" + 72" = 62"

Total run = 84" + 6" = 90"

Length of stringer = hypotenus

Hypotenus = √(total rise² + total run²)

Hypotenus = √(62² + 90²)

Hypotenus = 109.28860"

Convwrting back to feet and inches

= 9' - 1.29"

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Can someone help me with the top 1-3. Using similar figures subject
katen-ka-za [31]
Answer: <M corresponds to <J
               <L corresponds to <O
               JL corresponds to MO 

To find the corresponding angles:
1. Look at the figures. 
<M is to <J, <N is to <K, and <O is to <L.

2. Look at the similarity statement. 
ΔMNO ~ ΔJKL. <M is to <J because they are the first letters.
ΔMNO ~ ΔJKL. <N is to <K because they are second letters.
ΔMNO ~ ΔJKL. <O is to <L because they are third letters.

Apply these two methods to find the corresponding sides.
7 0
3 years ago
A gumball has a diameter that is 66 mm. The diameter of the gumball's spherical hollow core is 58 mm. What is the volume of the
grigory [225]

Answer:

Volume of gumball without including its hollow core is 48347.6 cubic mm.

Step-by-step explanation:

Given:

Diameter of Gumball = 66 mm

Since radius is half of diameter.

Radius of gumball = \frac{diameter}{2}=\frac{66}{2} =33 \ mm

Now We will first find the Volume of Gumball.

To find the Volume of Gumball we will use volume of sphere which is given as;

Volume of Sphere = \frac{4}{3}\pi r^3

Now Volume of Gumball = \frac{4}{3}\times3.14 \times (33)^3 = 150456.24 \ mm^3

Also Given

Diameter of gumball's spherical hollow core = 58 mm

Since radius is half of diameter.

Radius of gumball's spherical hollow core = \frac{diameter}{2}=\frac{58}{2} =29 \ mm

Now We will find the Volume of gumball's spherical hollow core.

Volume of Sphere = \frac{4}{3}\pi r^3

So Volume of gumball's spherical hollow core = \frac{4}{3}\times3.14 \times (29)^3 = 102108.61 \ mm^3

Now We need to find volume of the gumball without including its hollow core.

So, To find volume of the gumball without including its hollow core we would Subtract Volume of gumball spherical hollow core from Volume of Gumball.

volume of the gumball without including its hollow core = Volume of Gumball - Volume of gumball's spherical hollow core = 150456.24\ mm^3 - 102108.61\ mm^3 = 48347.63\ mm^3

Rounding to nearest tenth we get;

volume of the gumball without including its hollow core = 48347.6\ mm^3

Hence Volume of gumball without including its hollow core is 48347.6 cubic mm.

8 0
3 years ago
what is the probability of drawing two yellow marbles if the first on is NOT place back into the bag before the second draw?
Kruka [31]

Answer:

1/45

Step-by-step explanation:

I assume there are 10 marbles total, 2 of which are yellow.

The probability the first marble is yellow is 2/10.

There's now one less marble, so the probability that the second marble is yellow is 1/9.

The total probability is (2/10) (1/9) = 1/45.

6 0
3 years ago
You and your friend collect 180 cans for a food drive. The ratio of cans you collected to cans your friend collected is 4 to 5.
marissa [1.9K]
Are you looking for the number of cans you and your friend each collected? If yes, here is the solution:

Let x be the number of cans.

4x + 5x = 180
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Now, substitute the values:
4(20) + 5(20) = 180
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Therefore, you collected 80 cans and your friend collected 100 cans.
6 0
3 years ago
Translate into an expression the sum of 4 and m
jek_recluse [69]

Answer:

4m

Step-by-step explanation:

8 0
3 years ago
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