Find the measure of angel 3

Answer:

α = 62°

β = 56°

gamma = 90°

Step-by-step explanation:

ΔAOB is isosceles, so m∠A = m∠ABO = 28

28 + 28 + m∠AOB = 180

m∠AOB = 180 - 28 - 28 = 124

β = 180 - 124 = 56

arcAB = 124

ΔBOC is isosceles.  α = m∠BCO = 1/2(arc AB) = 1/2(124) = 62

∠D is inscribed in a semicircle

m∠D = gamma = 90°

Answer:

Step-by-step explanation:

The formula that relates the length of a ladder, L, that leans against a wall with distance d from the base of the wall and the height h that the ladder reaches up the wall is L = StartRoot d squared + h squared EndRoot. What height on the wall will a 15-foot ladder reach if it is placed 3.5 feet from the base of a wall?

L = √d² + h²

Height is equal to [tex]14.59[/tex] feet

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle).

[tex]l=\sqrt{h^2+d^2}[/tex]

[tex]l=15[/tex] feet

[tex]d=3.5[/tex] feet

[tex]15=\sqrt{3.5^2+h^2}[/tex]

[tex]15=\sqrt{12.25+h^2}[/tex]

[tex]225=12.25+h^2[/tex]

[tex]212.75=h^2[/tex]

[tex]\sqrt{212.75}=h[/tex]

[tex]h\approx 14.59[/tex] feet

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64 + 64 = 128. 128 is 6/8

128 is 75%

[tex]\frac{75}{100} = \frac{128}{y}[/tex]

y should be 171 or 172

The number of beakers in the lab are 24.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, the ratio of beakers to test tubes in a lab is 3:8, and there are 64 test tubes.

Let the beakers be 3x and the number of test tubes be 8x

The number of test tubes =8x=64

x=8

So, the number of beakers =3x=24

Therefore, the number of beakers are 24.

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Answer:

x > 1.5

Step-by-step explanation:

I am not sure what exactly the question asks, because there doesn't need to be an absolute value bracket, but from what we can see, x is greater than 1.5, so the equation would be

x > 1.5

Answer:

hi I need help in math please help me

Step-by-step explanation:

will you?

Answer:

LSA = (a+b+c)×h

Step-by-step explanation:

The formula that would be used to find the lateral surface area of the triangular prism = perimeter of base(P) × Height of prism(H)

Let us assume that three side of triangle are a, b, c and height of prism is h

Then lateral surface area of the prism can be LSA = (a+b+c)×h

Answer:

20.25?

Step-by-step explanation:

Answer:

The answer is "lengths of opposite sides are equal "

Step-by-step explanation:

The parallelogram is a four-sided one in parallel opposites and therefore opposite angles equal. Each quadrilateral is called a rhombus with equal sides, as well as a parallelogram that also has correct angles is recognized as a rectangle. Its flat form with 4 smooth edges is parallel on the other side, so that when the opposite sides were equal in length. That's why ABCD is also a parallelogram because the two sides are parallel.

Answer:

the ride would be $1.72 for the cab

Answer:

X =50                  Y is also 50 since they are vertical angles

Step-by-step explanation:

70+ 60 + X = 180  (the 3 angles form a straigh line = 180 )

130 +X =180

X = 180-130

X=50

Answer:

9

Step-by-step explanation:

2-9= -7 so the distance is 9

Answer:

7 units

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

4 2/3

Multiply the 4 and 3 together to get 12

Then you add the 12 to the 2 to get 14

Therefore, it'll take 14  1/3 cups.

Answer:

2x + 3 > -9

2x > -12

X> -6

D

Step-by-step explanation:

and i hope this helps u because if  it dont im dead

Step-by-step explanation:

2x+3>-g

= 2x>-9-3

= 2x>-12

=x>-6

it's was helpful to you

Given,

Length = x+7

Breadth = x+5

We know that,

Area of rectangle = length × breadth

So, area of the given rectangle

= (x+7)(x+5)

= x² + 5x + 7x + (7×5)

= x² + 12x + 35

Answer:

40/9

$189

Step-by-step explanation:

1 2/3 / 3/8 =

4 4/9 = 40/9

6.85 x 315 - 6.25 x 315 = $189

Hope that helps!

Answer:

ik gonna let u solve this question but I explained what u need to do to solve it

Answer:

(10, 5)

Step-by-step explanation:

Starting coordinate : (9, 5)

x = 9 ; y = 5

Vertical distance (up and down) = y

Horizontal distance (left and right) = x

Movement to the right = positive

Movement to the left = negative

Hence, 1 unit moved to the right ; x + 1

Therefore ;

(9 + 1, 5)

= (10, 5)

Answer:

BAC=15

Step-by-step explanation:

angle BOA= 180-30= 150

triangle BAO is   isosceles because it has two equal sides, radii of a circumference so the angles ABO=BAO=(180-150)/2=15

Answer:

A) is the answer

Step-by-step explanation:

9.6

Given:

A figure of a circle with radius 8. The central angle of the blue sector is 60 degrees.

To find:

The area of the blue sector.

Solution:

Area of a sector is:

[tex]A=\pi r^2\dfrac{\theta}{360^\circ}[/tex]

Where, r is the radius and [tex]\theta [/tex] is the central angle of the sector in degrees.

Putting [tex]r=8, \theta=60^\circ, \pi=3.14[/tex], we get

[tex]A=(3.14)\cdot (8)^2\cdot \dfrac{60^\circ}{360^\circ}[/tex]

[tex]A=(3.14) \cdot (64)\cdot \dfrac{1}{6}[/tex]

[tex]A=33.49333....[/tex]

Approximate the value to the nearest tenth.

[tex]A\approx 33.5[/tex]

Therefore, the area of the blue sector is about 33.5 sq. units.

Answer:

Non-Linear

Includes a cluster

Positive Association

Includes an outlier

Step-by-step explanation:

Answer:

ans  23 this is the ans

Step-by-step explanation:

Answer:

The ice cold drink can freez hussain brain

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{3\sqrt{2} }{h}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

h = 3[tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 6

the hypotenuse is 6 units

Answer: 16 minutes (16.36)

Step-by-step explanation:

5.5 = 90

1 = ?

90 / 5.5 = 16.36363

1 = 16 minutes

Answer:

45

Step-by-step explanation:

Use Pythagoras theorem to solve

Answer:

<B = 18

x+23 = 35

5x = 60

Step-by-step explanation:

Answer:

12. 18

14. x = 12; x + 23 = 35; 5x = 60

Step-by-step explanation:

12.

100 = ? + 82

? = 18

14.

x + 23 + 5x + 85 = 180

6x + 108 = 180

6x = 72

x = 12

x + 23 = 12 + 23 = 35

5x = 5 * 12 = 60