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Lynna [10]
3 years ago
5

Bob runs 3 miles in 28 minutes at that same rate how many miles would he run in 42 minutes

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
4 0
42/28 = 1.5
3 times 1.5 = 4.5
he would be able to run 4 and a half miles in 42 minutes
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A triangle has sides with lengths of 60 feet, 63 feet, and 87 feet. Is it a right triangle?
Sedaia [141]

Answer:

Yes

Step-by-step explanation:

We can use the Pythagorean Theorem to check if this triangle is a right triangle:

a^2+b^2=c^2

Note that a and b are the legs of the triangle and c is the hypotenuse:

Substitute the lengths of the sides into the equation:

60^2+63^2=87^2

3600+3969=7569\\7569=7569

Therefore this triangle is a right triangle.

3 0
2 years ago
Read 2 more answers
Emily knows that the area of a rectangle is 54x9y8 square yards and that it’s length 6x3y4 yards. If she divides the area by the
Furkat [3]

Answer:

Width of the rectangle is: \mathbf{Width= 9x^6 y^4}

Option C is correct.

Step-by-step explanation:

Area of rectangle = 54x^9y^8

Length of rectangle = 6x ^ 3y^4

We need to find width of rectangle.

The formula used is:

Area\:of\:rectangle=Length\times Width\\Width=\frac{Area\:of\:rectangle}{Length}

Putting values in the formula to find Width of rectangle

Width=\frac{Area\:of\:rectangle}{Length}\\Width=\frac{54x^9y^8}{6x^ 3y^4}

Using the exponent rule: \frac{a^m}{a^n}=a^{m-n}

and simplifying the terms we get

Width=\frac{54x^9y^8}{6x^3y^4}\\Width=9x^{9-3} \: y^{8-4}\\Width=9x^6 y^{4}

So, Width of the rectangle is: \mathbf{Width= 9x^6 y^4}

Option C is correct.

6 0
2 years ago
What is the distributive property of -4 (10-b)
brilliants [131]

Answer:

-40+4b

Step-by-step explanation:

You multiply the outside (-4) by the things within the parentheses

6 0
3 years ago
Read 2 more answers
A tree casts a shadow 24 feet long. a 5 foot person casts a 8 foot shadow.How tall is the tree?
ra1l [238]
(length of tree's shadow)/(height of tree) = (length of person's shadow)/(person's height)

24/x = 8/5

24*5 = x*8

120 = 8x

8x = 120

8x/8 = 120/8

x = 15

The tree is 15 feet tall
8 0
3 years ago
1. Consider the figure below where ZV is parallel to WY.
Hatshy [7]

Answer:

Part A:

m∠VHT = 152°

Part B:

m∠QTS = 152°

Part C:

m∠ZHQ = 28°.

Step-by-step explanation:

Part A:

The given parameters are;

m∠HXU = 113°

Segment BQ and segment UD intersect at m∠XAT = 95°

We have that m∠HXU + m∠HXS = 180° (Angles on a straight line)

Therefore;

m∠HXU  = 180° - m∠HXS = 180° - 113° = 67°

m∠HXU = 67°

m∠XAT + m∠XAH = 180° (Angles on a straight line)

m∠XAH  = 180° - m∠XAT = 180° - 95° = 85°

m∠XAH = 85°

In triangle XAH, we have;

m∠XAH + m∠HXU + m∠XHA = 180° (Angle sum property of a triangle)

∴ m∠XHA = 180° - (m∠XAH + m∠HXU) = 180° - (85° + 67°) = 28°

m∠XHA = 28°

m∠VHT + m∠XHA = 180° (Angles on a straight line)

m∠VHT  = 180° - m∠XHA = 180° - 28° = 152°

m∠VHT = 152°

Part B:

m∠QTS ≅ m∠VHT (Corresponding angles are congruent)

∴ m∠QTS = 152° (Substitution property)

Part C:

m∠ZHQ ≅ m∠XHA  (Reflexive property)

∴ m∠ZHQ = 28°.

3 0
3 years ago
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