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lions [1.4K]
2 years ago
15

Find the value of x and please show how

Mathematics
1 answer:
Rzqust [24]2 years ago
5 0

Answer:

?=91 degrees.

Step-by-step explanation:

There is no x- I'll find ? though.

So, angles in a triangle must equal 180.

180-29-62=89. The last angle in the triangle is 89 degrees.

A straight angle is equal to 180 degrees. ? + 89=180.

180-89=91.

?=91 degrees.

Hope this helped!

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Two nimbers have a product of 90 and a sum of 19. What are the two numbers?​
bulgar [2K]

Answer:

9 + 10 = 19 product is 9 x 10 = 90 9^2 + 10^2 = 181

6 0
2 years ago
If a=2b^3 and b= -1/2c ^-2,express a in terms of c.
ElenaW [278]

Answer:

Part 1) a=-\frac{1}{4c^6}

Part 2) a=-\frac{1}{4c^{-6}}

Step-by-step explanation:

Part 1) we have

a=2b^{3} ----> equation A

b=-\frac{1}{2}c^{-2} ----> equation B

substitute equation B in equation A

a=2(-\frac{1}{2}c^{-2})^{3}

Applying property of exponents

(x^{m})^{n}=x^{m*n}

x^{-m} =\frac{1}{x^{m}}

a=2(-\frac{1}{2}c^{-2})^{3}=2(-\frac{1}{2})^3(c^{-2})^{3}=2(-\frac{1}{8})(c^{-6})=-\frac{1}{4c^6}

therefore

a=-\frac{1}{4c^6}

Part 2) we have

a=2b^{3} ----> equation A

b=-\frac{1}{2c^{-2}}=-\frac{c^{2}}{2} ----> equation B

substitute equation B in equation A

a=2(-\frac{c^{2}}{2})^{3}

Applying property of exponents

(x^{m})^{n}=x^{m*n}

x^{-m} =\frac{1}{x^{m}}

a=2(-\frac{c^{2}}{2})^{3}=2(-\frac{c^{6}}{8})

simplify

a=-\frac{c^{6}}{4}

therefore

a=-\frac{1}{4c^{-6}}

6 0
3 years ago
A prime number less than 100 is selected randomly. what is the probability that its square has units digit $7$?
liberstina [14]
Any number ends with 0, 1, 2, 3, 4, 5, 6, 7, 8 or  9

Given any number. The square of this number is the last digit of square of the original numbers units digit.

For example

23*23 ends with 9 (3*3=9)

149*149 ends with 1 (9*9=81)

2564*2564 ends with 6 (4*4=16) 

and so on

so all the possible unit digits of a square number are {0, 1, 4, 5, 6, 9}

because:

0*0= 0 ; 1*1=1; 2*2=4; 3*3=9; 4*4=16; 5*5=25, 6*6=36; 7*7=49; 8*8=64, 9*9=81

Thus, the probability that the square of a number selected from any set of numbers being 7, is 0.


Answer: 0
 

4 0
3 years ago
Describe a Real world situation that is modeled by dividing two fractions or mixed numbers?
zmey [24]
Maybe if you need to measure a piece of clothing
6 0
2 years ago
Read 2 more answers
What's 2\5 =12/n solving proportions
gogolik [260]
<span>Cross multiply: 2 * n = 5 * 12
 
Simplifying 2 * n = 5 * 12
 
Multiply 5 * 12 2n = 60
 
Solving 2n = 60
 
Solving for variable 'n'.
 
Move all terms containing n to the left, all other terms to the right.
 
Divide each side by '2'. n = 30
 
Simplifying n = 30</span>
8 0
3 years ago
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