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4 years ago

Find measure of angle 1

Mathematics

1 answer:

fenix001 [56]4 years ago

8 0

Just look at the top triangles
Angles in a triangle add up to 180°

To find the angle next to 36°:
It shows that all together its a 90° angle so you do 90-36= 54°

To find the angle next to 88°:
Angles on a straight line add up to 180° so you do 180-88= 92°

You now have the 2 of the angles in the triangle with angle 1

You now add these 2 angles so 54+92= 146°
and as angles in a triangle add up to 180° you do 180-146= 34°

So angle 1 is 34°

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A square lawn has an area of 1152 square feet. A sprinkler placed at the center of the lawn sprays a water in a circular pattern

oksano4ka [1.4K]

Answer:

The radius of the circle is 16.97 feet

Step-by-step explanation:

First, we will the determine the length of one the sides of the square lawn.

From the question,

The square lawn has an area of 1152 square feet,

Now, we can determine the length of a side of the square lawn from the formula,

$A = l^{2}$ ( Formula for Area of a square)

Where $A$ is the area of the square lawn

and $l$ is the length of a side of the square lawn

From the question, $A$ = 1152 square fee

Then,

$1152 = l^{2}$

$l^{2} = 1152\\l = \sqrt{1152}$

$l = 24\sqrt{2}$ feet or $33.94$ feet

This is the length of one of the sides of the square lawn.

From the description in the question, the sprinkler sprays water in a circular pattern that just covers the lawn,

If the circular pattern formed just covers the lawn,

then, the diameter of the circle equals the length of one of the sides of the square lawn, that is,

$l = d$

Where $d$ is the diameter of the circle

Hence, $d = 24\sqrt{2}$ feet

This is the diameter of the circle.

Now, for the radius of the circle,

From the relation between radius and diameter,

$Radius = \frac{Diameter}{2}$

Then,

$Radius = \frac{24\sqrt{2} }{2}$

$Radius = 12\sqrt{2}$ feet or $16.97$ feet

Hence, the radius of the circle is 16.97 feet

8 0

3 years ago

Whats 717+37+829-772

yawa3891 [41]

811 is the correct awnser

8 0

3 years ago

Read 2 more answers

I need help finding the area and the equation to it.

RideAnS [48]

Hello from MrBillDoesMath!

Answer:

3 1/2 (i.e 3.5)

Discussion:

From the attached file, the area of the shaded triangle =

Area = <u>square</u> surrounding triangle -

area triangle 1 - area triangle 2 - area triangle 3

= 4 * 4 -

(1/2) (1 * 1) - (1/2) (3 * 4) - (1/2) (3 * 4)

= 16 - 1/2 - 1/2 (12) - 1/2(12) =

= 16 - 1/2 - 12 =

= 4 - 1/2

= 3 1/2

Where we have used that the area of a triangle =

(1/2) base * height.

Thank you,

MrB

6 0

4 years ago

Expand ( 4 x − 4 ) ( x − 3 )

Kisachek [45]

4x^2-16x+12 is the answer.

4 0

4 years ago

You place a 16 foot ladder against a building. The angle that the ladder forms with

gulaghasi [49]

Answer:The base of the ladder should be placed so that it is one foot away from the building for every four feet of hight to where the ladder rests against the building. This is known as the 4 to 1 rule.

Step-by-step explanation:

7 0

3 years ago