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erma4kov [3.2K]
3 years ago
12

A lizard needs to stay a safe distance from a cactus. The diameter of the cactus is 12 inches. If the lizard is 8 inches from a

point of tangency, find the direct distance between the lizard and the cactus (x). If necessary, round to the hundredths place.
Mathematics
1 answer:
frez [133]3 years ago
4 0
We will use the Pythagorean theorem:
8² + 12² = c² 
64 + 144 = c²
c = √208 ≈ 14.42
14.42 - 12 = 2.42 in
The direct distance between the lizard and the cactus is 2.42 inches. 
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Is the distance around a circle . You calculate the of a circle by multiplying the diameter by 3.14
anzhelika [568]
Distance around a circle is CIRCUMFERENCE
DIAMETER*PI=CIRCUMFERENCE
7 0
3 years ago
Eduardo has a recipe that uses 2/3 cup of flour for each batch. If he makes 4 batches, how many cups of flour will he need? How
34kurt

Answer:

4 batches: 2\frac{2}{3} cups

7 batches: 4\frac{2}{3} cups

Step-by-step explanation:

If he uses 2/3 cup of flour for <u>each</u> batch, then that is 2/3 four times, or 2/3 · 4.

\frac{2}{3} × \frac{4}{1}

= \frac{8}{3}  = 2\frac{2}{3}

If he makes three more, than that will be 7 batches in total. We can multiply 2/3 by 3 to find out how much will be needed for those extra three, then add that product to 2\frac{2}{3}.

\frac{2}{3} × \frac{3}{1}

= \frac{6}{3}  = 2

2\frac{2}{3} +2  = 4\frac{2}{3}

Thus, 2\frac{2}{3} and 4\frac{2}{3} are the answers.

hope this helps!

8 0
2 years ago
The base of a 15-foot ladder is 6 feet from a building. If the ladder reaches the flat roof, how tall is the building?
Vlad [161]

Answer:

the answer would be 13.75 feet

Step-by-step explanation:

The computation of the tall is the building as follows:

Given that

Base is 6 foot

And, the hypotheses is 15 feet

Here we use the Pythagoras theorem

= √15^2 - √6^2

= √225 - √36

= √189

= 13.75 feet

Hence the answer would be 13.75 feet

6 0
3 years ago
Pls pls help me pls help me
notka56 [123]

Answer:

68m squared or the first option

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
382 3/10 - 191 87/100=
frosja888 [35]
382  \frac{3}{10}  - 191  \frac{87}{100} =(382 + \frac{3}{10} ) - (191 + \frac{87}{100}) =\\\\=382 + \frac{30}{100} -191- \frac{87}{100} =382  -191+ \frac{30}{100}- \frac{87}{100} =\\\\=191+ \frac{30}{100}- \frac{87}{100} =190+ \frac{100}{100}+ \frac{30}{100}- \frac{87}{100} =\\\\=190+\frac{130}{100}- \frac{87}{100} =190+\frac{43}{100}=190\frac{43}{100}\\\\\\382  \frac{3}{10}  - 191  \frac{87}{100} =382.3  - 191.87 =382.3  - 191-0.87 =191.3-0.87=\\\\=190+1.3-0.87=190+0.43=190.43
5 0
3 years ago
Read 2 more answers
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