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Marta_Voda [28]
3 years ago
7

Recall that two angles are complementary if the sum of their measures is​ 90°. Find the measures of two complementary angles if

one angle is five
times the other angle.
Mathematics
1 answer:
lorasvet [3.4K]3 years ago
5 0
The measure of angle one is 75 degrees and the other measure is 15 degrees
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Yoshi reported the total area of the five great lakes on the chart above.
Katarina [22]

Answer:

60000 square miles

Step-by-step explanation:

Step 1: Great lakes beginning with consonant: Huron, Michigan, Superior

Great lakes beginning with vowel: Ontario, Erie

Step 2: Estimate the areas to nearest thousand.

Estimation of area of Huron = 23000 square miles

Estimation of area of Michigan = 22000 square miles

Estimation of area of Superior = 32000 square miles

Total area of Great lakes beginning with a consonant = 23000 + 22000 + 32000 = 77000 square miles

Estimation of area of Ontario = 7000 square miles

Estimation of area of Erie = 10000 square miles

Total area of Great lakes beginning with a vowel = 7000 + 10000 = 17000 square miles

Step 3: Difference between the total area of Great lakes beginning with a consonant and the vowel

77000 – 17000 = 60000 square miles

8 0
4 years ago
Simplify the expression:<br><br> 7(t − 2) =
cupoosta [38]

Answer:

7t-14

Step-by-step explanation:

you have to distribute the 7 into the t and 2 and take the -with the 2

5 0
3 years ago
A box has a volume of 192 cubic inches, a length that is twice as long as its width, and a height that is 2 inches greater than
Volgvan

Answer:

Length = 8 inches

Width = 4 inches

Height = 6 inches

Step-by-step explanation:

Volume of the box = 192 cubic inches

Volume of a box = length × width × height

Let

Width = x

Length = 2x

Height = x + 2

Volume of a box = length × width × height

192 = 2x * x * (x + 2)

192 = 2x^2 (x + 2)

192 = 2x^3 + 4x^2

Divide through by 2

96 = x^3 + 2x^2

Subtract 96 from both sides

x ^3 + 2x^2 - 96 = 0

Factorise

(x - 4) (x^2 + 6x + 24) = 0

x^2 + 6x + 24 has no real x-value

So,

Divide both sides by (x^2 + 6x + 24).

0 ÷ (x^2 + 6x + 24) = 0

So,

(x - 4) = 0

x = 4

Width = x = 4 inches

Length = 2x

= 2(4)

= 8 inches

Height = x + 2

= 4 + 2

= 6 inches

Check:

Volume of a box = length × width × height

= (8 * 4 * 6) inches

= 192 inches

4 0
4 years ago
Which expresssion is equivalent to 24^1/3
Marina86 [1]

Answer:

241/3

Step-by-step explanation:

Trying to find the cube root of 24

Factor 24

one of the factors should be a perfect cube and one will not

Of course you can also try cubing the choices given one of them will equal 24

8 0
3 years ago
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