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2 years ago

The length of a rectangle is 3 times the width. If

Mathematics

2 answers:

Margaret [11]2 years ago

8 0

Answer:

Length = 27 metresWidth = 9 meters

Step-by-step explanation:

VikaD [51]2 years ago

8 0

I’m not sure but yes

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Round 18.94 to the nearest whole number

spin [16.1K]

Answer: 19 is the whole number

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2 years ago

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What is the value of k?

liraira [26]

Answer:

Step-by-step explanation:

ΔOLN and ΔONM are similar. Therefore the sides are in proportion:

$\dfrac{OL}{ON}=\dfrac{ON}{OM}$

We have:

OL = 8

ON = 4

OM = k

Substitute:

$\dfrac{8}{4}=\dfrac{4}{k}$ <em>cross multiply</em>

$(8)(k)=(4)(4)$

$8k=16$ <em>divide both sides by 8</em>

$k=2$

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3 years ago

What is a Circles diameter if the raidus is 5ft<br>

vladimir1956 [14]

Answer:

The radius is half the diameter, so the radius is 5 feet, or r = 5. You can find the circumference by using the formula. So, the circumference is about 31.5 feet around

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2 years ago

Every week,Mr.Kirkson uses 3/16 gallon of water to every 1/3 square foot of his garden hiw many gallons of water does mr.Kirkson

nadezda [96]

Answer:

9/16 gallons

Step-by-step explanation:

We can use a ratio to solve

3 /16 gallon x gallons

------------------ = --------------

1/3 ft^2 1 ft^2

Using cross products

3/16 * 1 = 1/3 x

Multiply each side by 3

3/16 * 3 = 1/3x *3

9/16 = x

9/16 gallons

5 0

3 years ago

Given: ABCD is a trapezoid, AB=CD, MN is a midsegment, MN=30, BC=17, AB=26 Find: m?A, m?B, m?C, and m?D

Zinaida [17]

Answer:

The measures of angle ∠A, ∠B, ∠C, and ∠D are 60, 120, 120 and 60 degree respectively.

Step-by-step explanation:

Given information:AB=CD, MN is a midsegment, MN=30, BC=17, AB=26

Since two opposite sides are equal, therefore we can say that two no parallel sides are equal.

The length of midsegment is average of length of parallel lines.

$MN=\frac{AD+BC}{2}$

$30=\frac{AD+17}{2}$

$60=AD+17$

$AD=43$

Draw perpendiculars on AD from B and C. Let angle A be θ.

Since ABCD is an isosceles trapezoid, therefore AE=FD and EF=BC

$\cos\theta=\frac{base}{hypotenuse}$

$\cos\theta=\frac{AE}{AB}$

$\cos\theta=\frac{13}{26}$

$\cos\theta=\frac{1}{2}$

$\theta=60^{\circ}$

Since ABCD is an isosceles trapezoid, therefore angles A and D are same. Angle B and C are same.

$\angle A=\angle D=60^{\circ}$

The sum of two consecutive angles of a trapezoid is 180 degree by consecutive interior angle theorem.

$\angle A+\angle B=180^{\circ}$

$60^{\circ}+\angle B=180^{\circ}$

$\angle B=120^{\circ}$

Angle B and C are same.

$\angle B=\angle C=120^{\circ}$

Therefore measures of angle ∠A, ∠B, ∠C, and ∠D are 60, 120, 120 and 60 degree respectively.

3 0

3 years ago