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3 years ago

145 in the ratio 18:11

Mathematics

1 answer:

Dmitrij [34]3 years ago

5 0

Answer:

90:55

Step-by-step explanation:

18 + 11 = 29

145/29 = 5

5 x 18 = 90

5 x 11 = 55

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Coordinate and it's reflection over the x- axis be an even number

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Depends on the original point

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3 years ago

Trigonometry

Alchen [17]

The area of the triangle PQR is 17.6 square units.

Explanation:

Given that the sides of the triangle are PQ = 12 and PR = 3 and $m\angle P = 78^{\circ}$

We need to determine the area of the triangle PQR

<u>Area of the triangle:</u>

The area of the triangle can be determined using the formula,

$\text {Area}=\frac{1}{2} qr \sin P$

Substituting the values, we get,

$\text {Area}=\frac{1}{2}(12)(3) \sin 78$

Simplifying, we have,

$\text {Area}=\frac{1}{2}(36)(0.98)$

Multiplying the terms, we have,

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Thus, the area of the triangle PQR is 17.6 square units.

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3 years ago

Read 2 more answers

What is the following sum?<br> 5(3squareroot x) +9 (3squareroot x)

Volgvan

$\sf{14(\sqrt[3]{x}) }$

Step-by-step explanation:

$5(\sqrt[3]{x})+9(\sqrt[3]{x})\\\\(5+9)(\sqrt[3]{x})\\\\14(\sqrt[3]{x})$

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2 years ago

Convert 75 degrees to radican measure

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Step-by-step explanation:

180°=π

75°=x

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3 years ago

The length of a rectangle is 4 cm less than it’s width. If the area of the rectangle is 165 cm^2. What are the dimensions of the

Monica [59]

Answer:

The dimensions are 11 cm by 15 cm

Step-by-step explanation:

Area of a rectangle = (length)(width).

Let L represent the length and W the width.

Since L = W - 4, we have

Area of rectangle = (W - 4)W = 165 cm^2.

Thus, w^2 - 4W - 165 = 0. We can solve for W using the quadratic formula:

a = 1, b = -4 and c = -165. Thus,

-(-4) ± √ [ (-4)² - 4(1)(-165) ]

W = ---------------------------------------

4 ± √ [16 + 660 ]

W = ------------------------------

4 ± √ [ 676 ] 4 ± 26

W = ----------------------- = W = ------------- = W = 2 ± 13

2 2

Thus, W is 2 + 13 = 15. It cannot be negative, so we discard 2 - 13 = -11.

If the width, W, is 15, then the length is 4 less, or L = 11.

The dimensions are 11 cm by 15 cm

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3 years ago