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OLga [1]
3 years ago
10

The 102nd floor of the sears tower in chicago is the highest occupied floor. it is 1,431 feet above the ground. how many yards a

bove the ground is the 102nd floor?
Mathematics
1 answer:
melamori03 [73]3 years ago
6 0
1 foot = \frac{1}{3} yard

1431 ÷ 3 = 477 yards
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Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points in
pshichka [43]

Answer:

d=\sqrt{53}

Step-by-step explanation:

We need to find the distance between two points i.e. (−5,−1) and (−3,−8).

It can be calculated using distance formula as follows :

d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

We have, x₁ = -5, x₂ = -3, y₁ = -1 and y₂ = -8

Put all the values,

d=\sqrt{(-8-(-1))^2+(-3-(-5))^2}\\\\d=\sqrt{49+4}\\\\d=\sqrt{53}

So, the distance between the points is equal to \sqrt{53}

5 0
3 years ago
Evaluate x ÷ y for x = 3 and y = 12.
eduard

Answer:

1/4 or 0.25

Step-by-step explanation:

Lets plug x and y into the equation. We now have 3/12, which would be equal to 1/4 or 0.25

6 0
3 years ago
Which expression is the factorization of x2 + 10x + 21?
LiRa [457]
<h2><u>Sol</u><u>ution</u><u>:</u></h2>

Equation: x² + 10x + 21

<u>Step</u><u> </u><u>1</u><u>:</u> Find two numbers that can add up to 10 and be multiplied to 21. We have: 7 & 3, in the sense that 7+3=10, and 7×3=21. Replacing 10 with 7+3, the equation is now → x² + 7x + 3x + 21

<u>Step</u><u> </u><u>2</u><u>:</u> Get the new equation bracketed → (x² + 7x) (+3x + 21)

<u>Step</u><u> </u><u>3</u><u>:</u> Use 'x' in the equation. For the first part, we have 'x'. x² = x × x so, bring out one x out side the bracket, divide 7x by = 7 → x (x +7). Do the same for the second part by dividing 21 by 3 = 7, and then bringing out 3 from the bracket → 3 (x + 7).

Bringing everything together, we have: x(x+7) +3(x+7) → (x+3) (x+7)

<h3><u>Final</u><u> </u><u>ans</u><u>wer</u><u>:</u></h3>

(x+3) (x+7)

<h3 />

4 0
2 years ago
WILL GIVE BRAINLIEST FASTTTTT
Stells [14]

Answer: (x−2)(x−2)

The middle number is -4 and the last number is 4.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get -4

Multiply together to get 4

Can you think of the two numbers?

Try -2 and -2:

-2+-2 = -4

-2*-2 = 4

Fill in the blanks in

(x+_)(x+_)

with -2 and -2 to get...

(x-2)(x-2)

Answer:

(x−2)(x−2)

so the answer is D.

6 0
3 years ago
Please help me with the top one please
likoan [24]

Answer:

Ramiro is correct.

You cannot identify congruent triangles with only angles Angle-Angle-Angle is not one of the rules of congruence. They could have different sizes with the same angles which doesn't makes them congruent. They are similar though. Once you find the missing angles with the equations 62+39+C=180 and 39+79+X=180 the corresponding angles are congruent. So the triangles are not congruent, but are similar.

5 0
3 years ago
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