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stiv31 [10]
4 years ago
5

A rotation in the origin is shown. The angle of rotation appears to be A) 30°. B) 45°. C) 60°. D) 90°.

Mathematics
1 answer:
alina1380 [7]4 years ago
7 0

It looks like a 90º rotation

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The distance around a rectangular cafe is 35m . The ratio of length of the cafe to the width is 3:2. Find the dimension of the
marusya05 [52]

Hi there! :)

Answer:

Length = 10.5 m, width = 7 m.

Step-by-step explanation:

Given:

Perimeter, or P = 35 m

Ratio of l to w = 3 : 2

Since the ratio is 3 : 2, let l = 3x, and w = 2x.

We know that the formula for the perimeter of a rectangle is P = 2l + 2w. Therefore:

35 = 2(3x) + 2(2x)

35 = 6x + 4x

35 = 10x

x = 3.5

Plug this value of "x" into each expression to solve for the dimensions:

2(3.5) = w

w = 7 m

3(3.5) = l

l = 10.5 m

Therefore, the dimensions are:

Length = 10.5 m, width = 7 m.

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4 years ago
What is the image point of (1,4) after a translation left 5 units and down 5 units
igomit [66]

Answer:

(-4, -1)

Explanation:

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3 years ago
Find the area of the shaded region. Round your answer to the nearest tenth if needed.<br><br> 4B
AlexFokin [52]

Answer:

136.1 inches

Step-by-step explanation:

area of a circle is r^2 x pi

this is 3/4 of a circle

1. so 3/4 x 7.6^2xpi

2. 3/4 x 57.76 x pi

3. .75 x 57.76 x pi

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3 years ago
Which are the solutions of x² = 19x + 12​
Sever21 [200]

Answer:

\{x=\frac{19-\sqrt{409} }{2}\ , \  x=\frac{19+\sqrt{409} }{2}\}

Step-by-step explanation:

x² = 19x + 12

⇔ x² - 19x - 12 = 0

Calculating the discriminant :

b² - 4ac = (-19)² - 4×1×(-12) = 409

The discriminant is positive ,then the equation has two solutions.

x=\frac{19-\sqrt{409} }{2} \ \ or\ \ x=\frac{19+\sqrt{409} }{2}

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2 years ago
What is the gcf of 24a^3c and 3a?
Archy [21]
24a^3c = 3a(8a^2c)

3a = 3a(1)

\text {GCF = }3a
6 0
3 years ago
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