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Anit [1.1K]
3 years ago
5

Given right triangle abc with altitude bd drawn to hypotenuse ac.if ac=36 and dc=4,what is the length of bc?

Mathematics
1 answer:
andreev551 [17]3 years ago
6 0

Answer: 12

Step-by-step explanation:

hypotenuse/leg = leg/ part

36/leg = leg/4

36 times 4 = 144

sqaure root of 144 = 12

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A cookie recipe calls for 1/3 of a cup of sugar and 1 1/2 cups of flour. What is the unit rate of flour to sugar for the cookie
Serggg [28]

Answer:

Rate = 4.5

Step-by-step explanation:

It is given that,

A cookie recipe calls for 1/3 of a cup of sugar and 1 1/2 cups of flour.

We need to find the unit rate of flour to sugar for the cookie recipe. It can be calculated as follows :

U=\dfrac{\text{No of cups of flour}}{\text{No of cups of sugar}}\\\\=\dfrac{1\dfrac{1}{2}}{\dfrac{1}{3}}\\\\=\dfrac{\dfrac{3}{2}}{\dfrac{1}{3}}\\\\=\dfrac{3}{2}\times 3\\\\=4.5

So, the unit rate of flour to sugar for the cookie recipe is 4.5

6 0
3 years ago
Minus then changes from 115.5 inches tall to 23.1 inches tall. What percent of change is that?
strojnjashka [21]

Answer:

80%

Step-by-step explanation:

23.1/115.5=0.2

1-0.2=0.8=80%

4 0
3 years ago
What’s the range of y=-2cos(3x)+3?
Illusion [34]

Answer:

Range [-2,2]

Cosine value varies from -1 to 1, hence -2cos 3x can vary from +2 to -2. The range of the given function , in interval notation, would thus be [-2,2]. In set builder notation it can be expressed as

{y∈R∣−2≤y≤2 }

It most likely might be wrong though so sorry for that.

4 0
3 years ago
Sandra is 4 feet tall. Pablo is 10% taller than Sandra and Michaels is 8% taller than Pablo. What is Michael height in feet
taurus [48]


We first calculate  Pablo's height .

4 = 100%

x = 1%  (Where x is 1% of  Sandra's height.)

cross multiplying the equation, we get:

100x = 4 →  x = 4/100  → x = 0.04

If 1% = 0.04, then 10%  will be 0.04 × 10 = 0.4

Pablo's height is 4 + 0.4 =  4.4 feet.

Now we repeat the above steps to get Michal's height from Pablo's height

4.4 = 100%

x =  1%       so:

100x = 4.4 → x = 4.4/ 100 → x = 0.044

If 1% = 0.044, then 8% will be 0.044 × 8 = 0.35

Michael's height is  4.4 + 0.35 = 4.75 feet.

     



5 0
4 years ago
Can someone help me with this
trasher [3.6K]

Answer:

Angle 3 is 65°, Angle 8 is 115°

Step-by-step explanation:

Angle 3 and 1- Linear Pair

Angle 8 and 1- Alternate Exterior

7 0
3 years ago
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