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3 years ago

Solve the equation for a. a2 + 102 =12^2

Mathematics

2 answers:

denpristay [2]3 years ago

8 0

Answer:6.6

Step-by-step explanation:

Anestetic [448]3 years ago

5 0

Answer:

6.6

Step-by-step explanation:

Subtract 10^2 and take the square root.

a^2 +10^2 = 12^2

a^2 = 144 -100

a = √44 ≈ 6.6

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The volume of a rectangular box is 1600 cubic inches. The height of the box is 8 inches and the length of the box is 2 times lon

Anastasy [175]

Answer:

0.833 feets

Step-by-step explanation:

Given that:

Volume of box = 1600

Heigh of box (H) = 8 inches

Let:

Width of box (W) = x

Length of box (L) = 2x

Volume of box = (Height * width * length)

1600 = (8 * x * 2x)

1600 = 16x²

x² = 1600/16

x² = 100

x = sqrt(100)

x = 10 inches

Hence, width of box in feet:

1 inch = 0.0833 feets

10 inches = (10 * 0.0833) feets

= 0.833 feets

7 0

2 years ago

A major issue facing many states is whether to legalize casino gambling. Suppose the governor of one state believes that more th

tangare [24]

Answer:

$H_0:p\leq0.55$

$H_a:p>0.55$

Step-by-step explanation:

Given : A major issue facing many states is whether to legalize casino gambling. Suppose the governor of one state believes that more than 55% of the state’s registered voters would favor some form of legal casino gambling.

i.e. claim : $p>0.55$

Since alternative hypothesis shows there is statistical difference between the groups tested , it takes >, < or , ≠ sign.

Thus , the given claim is representing the alternative hypothesis :

$H_a:p>0.55$

Then, the null hypothesis will be (exactly opposite of alternative hypothesis ):

$H_0:p\leq0.55$

Thus , the appropriate null and alternative hypotheses.:

$H_0:p\leq0.55$

$H_a:p>0.55$

7 0

3 years ago

Determine the sum of the first 27 even Natural Numbers.<br> 378<br> 2,700<br> 270<br> 756

kicyunya [14]

Answer:

this is called AP arithmetic progression

2, 4, 6.........

sn=n/2(2a+(n-1)d)

S27=

$\frac{27}{2 } (2 \times 2 + (27 - 1)2)$

$\frac{72}{2} (4 + (26 \times 2)$

$\frac{27}{2} (4 + 52)$

$\frac{27}{2} \times 56$

$27 \times 28$

=756

3 0

1 year ago

Which Value From The Number Set 1,3,5,7 Makes The Inequality X+5>10 True

Ne4ueva [31]

Put all number choices in for x. 1+5=6, 3+5=8, 5+5=10, 7+5=12. The equation says that the answer has to be greater than ten. 6 and 8 are less than ten, and ten is equal to ten, so the only answer is 7, because 7+5=12 :)

6 0

2 years ago

Hi!! <3 Please help me with this question!! TYSM! :)

Nikitich [7]

Answer:

c and d

Step-by-step explanation:

area = length * breadth

5 0

2 years ago

Read 2 more answers