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Sedbober [7]
3 years ago
14

Find the value of r in the triangle shown below. X = 50° 41°

Mathematics
1 answer:
Lostsunrise [7]3 years ago
6 0

Answer:

89

Step-by-step explanation:

180 - (50 + 41)

180 - 91

89

.ie x= 89

because total sides of triangle = 180 degree

hope this answer helps!!!!

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An open-top box with a square base is to have a volume of 4 cubic feet. Find the dimensions of the box (in ft) that can be made
Lemur [1.5K]

Answer:

The dimension of box=2ft\times 2ft\times 1ft

Step-by-step explanation:

We are given that

Volume of box=4 cubic feet

Let x be the side of square base and h be the height of box

Volume of box=lbh=x^2h

4=x^2h

h=\frac{4}{x^2}

Now, surface area of box,A=x^2+4xh

A=x^2+4x(\frac{4}{x^2})=x^2+\frac{16}{x}

\frac{dA}{dx}=2x-\frac{16}{x^2}

\frac{dA}{dx}=0

2x-\frac{16}{x^2}=0

2x=\frac{16}{x^2}

x^3=8

x=2

\frac{d^2A}{dx^2}=2+\frac{32}{x^3}

Substitute x=2

\frac{d^2A}{dx^2}=2+\frac{32}{2^3}=2+4=6>0

Hence, the area of box is minimum at x=2

Therefore, side of square base,x=2 ft

Height of box,h=\frac{4}{2^2}=1 ft

Hence, the dimension of box=2ft\times 2ft\times 1ft

5 0
3 years ago
Kendra rides her bike to school each day. It takes her 10 minutes to ride 30 blocks. What unit rate expresses the speed of Kendr
Mashcka [7]
The answer would be 3 blocks per minute
8 0
3 years ago
Read 2 more answers
Solve r=4/3(p-q) for p
lesya [120]

Answer:

q+3/4r=p

Step-by-step explanation:

r=4/3(p-q)

Distribute the 4/3

r=4/3p-4/3q

Add 4/3q to each side

4/3q+r=4/3p

Multiply ALL variables by 3/4 (undoes the 4/3)

q+3/4r=p

<h2>Please mark me as brainliest</h2>

8 0
3 years ago
Evaluate 5+ (-11) - (-11)
SOVA2 [1]

Answer:

5

Step-by-step explanation:

To solve a problem with negatives, we use the following rule.

If it is like

x+(-y), it is equivalent to x-y

If the equation is like

(-x)-(-y), it is equivalent to (-x)+y

So,

5+(-11)=5-11=-6

(-6)-(-11)=(-6)+11=5

Your answer is 5.

7 0
4 years ago
Three-fourths of a number is greater than or equal to nine less than a number.
Andreyy89

Answer:

\frac{3}{4} x \geqslant x - 9

7 0
3 years ago
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