I need help with the first question please

Answer:

x=12

Step-by-step explanation:

60°+60°+5x=180°

5x=60°

x=12

Answer:

x = 12

Step-by-step explanation:

60 + 60 + 5x = 180

120 + 5x = 180

5x = 60

x = 12

Answer:

105°

cause You can measure an arc in degrees just like you measure an angle

Answer:

E

Step-by-step explanation:

Cos=Adjacent/hypotenuse

Cos30=rad3/2

The cosine function for Ф = 30 is equivalent to :

cos(30) =√3/2.

There are six major trigonometric functions as -

We can write the relation between them as -

Also the following trigonometry relations hold true -

sin²Ф + cos²Ф = 1

1 + tan²Ф = sec²Ф

1 + cot²Ф = cosec²Ф

Given is a right angled triangle as shown in the image having 60 - 90 - 30 orientation and the measured sides as shown in the image.

We can write the cosine function as -

cosФ = Base/Hypotenuse

cos(30) = √3/2

So, we can conclude that the cosine function for Ф = 30 is equivalent to :

cos(30) =√3/2

Therefore, the cosine function for Ф = 30 is equivalent to :

cos(30) =√3/2.

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Answer:

Octagonal pyramid

Step-by-step explanation:

Answer:

It has 8 sides

Octagon has 8 sides

So Octagonal Pyramid

Erosion should be the right answer

Answer:

Volcanic Eruptions, Mountain Range Formations, Earthquakes

Step-by-step explanation:

Answer:

Please find attached the required graph of the equation, y = x² - 2·x - 8, created using MS Excel

Step-by-step explanation:

The given function required to be plot is y = x² - 2·x - 8

Therefore, the coordinates of the vertex of the parabola formed by the equation (h, k) is given as follows;

h = -(-2)/(2×1) = 1

k = 1² - 2×1 - 8 = -9

The coordinates of the vertex = (1, -9)

The roots of the equation is given when y = 0, as follows;

At the roots, we have;

x² - 2·x - 8 = 0

By factorizing, we get

x² - 2·x - 8 = (x - 4)·(x + 2) = 0

Therefore. the roots of the equation are;

x = 4, and x = -2

The coordinates of the roots are;

(4, 0), and (-2, 0)

Two other points can be found at when x = 3 and when x = 0 as follows;

When x = 3, we have;

y = 3² - 2×3 - 8 = -5

(3, -5)

When x  = 0, we have;

y = 0² - 2×0 - 8 = -8

(0, -8)

The five points are;

(1, -9), (4, 0), (-2, 0), (3, -5), (0, -8)

The graph of the equation created using MS Excel showing the five points is attached.

Answer:

Step-by-step explanation:

If the input is 2 and the output is 6, then f(x) = 3IxI

Answer:

15

Hope that this helps!

Answer:

$1050

Step-by-step explanation:

$1000 + $50 = $1050

Answer:

15xy+77x

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

y = 4x + 57

Step-by-step explanation:

y = 4x + b

9 = 4(-12) + b

9 = -48 + b

57 = b

y = 4x + 57

Answer:

x = y = [tex]\sqrt{7\\}[/tex]

Step-by-step explanation:

[tex]\sqrt{7} ^{2} + \sqrt{7} ^{2} = \sqrt{14}^{2}\\7 + 7 = 14[/tex]

Answer:

7%

Step-by-step explanation:

Out of the 75 people who ordered a hot drink, only 5 ordered a small.

5/75 = 0.066 or 7%

Answer

1 [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

Answer:

1 3/8

Step-by-step explanation:

First, we have to make the fractions have the same denominator. 3/4= 6/8.

So, in all, they ate 13/8, or 1 5/8 of the pie. 3- 1 5/8= 1 3/8

Answer:

w + 1.3 = 2.7

Answer:

A

Step-by-step explanation:

Step-by-step explanation:

let's make T= the number if trees...

If we're placing one tree every 12 feet for two miles, then:

T×(space between trees) = (number of miles)×(1mi.)

T×12ft. = 2×1mi. = 2×5280ft.

Dividing by 12ft. to isolate T gives us:

T=(2×5280)/12 = 880

So that'll be 880 trees for 2 miles of street.

The number of trees that they plant on 2 miles of streets will be 880 trees.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

The city is planting new trees in its downtown to make the streets more comfortable for visitors.

They are planting each tree 12 feet apart.

Then the number of trees that they plant on 2 miles of streets will be  

We know the conversion of miles into feet.

  1 mile = 5280 feet

2 miles = 10560 feet

Then the number of trees will be

Number of trees = 10560 / 12

Number of trees = 880

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Step-by-step explanation:

In given rt.angled triangle,

Sin thita =p/h

=26.1/28.7

=0.9094

So correct answer is option D.

0.9094 is the sine of angle θ

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

here, we have,

from the given figure,

In given rt.angled triangle,

Sin thita =p/h

=26.1/28.7

=0.9094

So correct answer is option D.

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Given:

The given point is (4,12).

To find:

The equation that would NOT contain the point (4,12).

Solution:

We need to check each equation for the point (4,12).

In option A, the given equation is:

[tex]y=-2x+20[/tex]

Putting [tex]x=4[/tex], we get

[tex]y=-2(4)+20[/tex]

[tex]y=-8+20[/tex]

[tex]y=12[/tex]

This equation contains the point (4,12).

In option B, the given equation is:

[tex]y=\dfrac{1}{2}x+8[/tex]

Putting [tex]x=4[/tex], we get

[tex]y=\dfrac{1}{2}(4)+8[/tex]

[tex]y=2+8[/tex]

[tex]y=10[/tex]

This equation does not contain the point (4,12).

In option C, the given equation is:

[tex]y=-\dfrac{1}{2}x+14[/tex]

Putting [tex]x=4[/tex], we get

[tex]y=-\dfrac{1}{2}(4)+14[/tex]

[tex]y=-2+14[/tex]

[tex]y=12[/tex]

This equation contains the point (4,12).

In option D, the given equation is:

[tex]y=\dfrac{3}{4}x+9[/tex]

Putting [tex]x=4[/tex], we get

[tex]y=\dfrac{3}{4}(4)+9[/tex]

[tex]y=3+9[/tex]

[tex]y=12[/tex]

This equation contains the point (4,12).

Only the equation in option B does NOT contain the point (4,12). Therefore, the correct option is B.

Answer:

the first one

Step-by-step explanation:

the two lines intersect exactly at 5, -3

Answer:

9.81 x 100,000

Step-by-step explanation:

Answer:

9.81*10^5

Step-by-step explanation:

Move the decimal point to the right of the first digit of the number. It should be a decimal number between 1 and 10. Write that down.

Then count the number of places you need to move the decimal point from that place to the right, and that's how many times 10 needs to be squared.

Answer:its D 8 -4 = 4

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

A. 44/625

Step-by-step explanation:

There are 25 marbles total. To first calculate the probability of picking a yellow marble first can be represented as 11/25, the probability of picking blue is 4/25. We multiply these to figure out the probability of finding a yellow marble and then a blue one.

11/25 x 4/25 = 44/625

Answer:

volume = 684π m³ or 2148.85 m³

Step-by-step explanation:

volume = (π6² x 11) + (4/3π6³) = 396π + 288π = 684π m³ or 2148.85 m³

Answer:

volume = 36

Step-by-step explanation:

Step-by-step explanation:

area of triangle=1/2 base×height

Answer:

b

Step-by-step explanation:

hope this helped

:))))))

The Interquartile range for the given data is 4.

The interquartile range is a measure of where the “middle fifty” is in a data set. Where a range is a measure of where the beginning and end are in a set, an interquartile range is a measure of where the bulk of the values lie.

Here,

Given data: 23, 24, 25, 27, 27, 28, 29, 30, 30, 31, 32, 37

First Quartile Q₁ = (n-1)/4 th term

                      Q₁ = (12-1)/4 th term

                      Q₁ = 11/4 th term

                      Q₁ = 2.75 th term

                      Q₁ = 26

Third Quartile Q₃ = 3(n-1)/4 th term

                        Q₃ = 3 X 11 / 4

                        Q₃ = 8.25th term

                        Q₃ = 8th term + 0.25 (9th term - 8th term)

                        Q₃ = 30 + 0.25 (30 -30 )

                        Q₃ = 30 + 0

                         Q₃ = 30

Interquartile range = (Q₃ - Q₁ ) = (30 - 26)

                                 = 4

Thus, the interquartile range = 4.

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Answer:

Center: (4,-2)

Radius: 2√3 units

Step-by-step explanation:

We wish to find the center and radius of the equation x²+y²-8x+2y=-8

Step 1: Complete the square for both variables:

x²+y²-8x+2y=-8

x²-8x+y²+2y=-8 (Rearrange)

x²-8x+16+y²+2y+4=-8+16+4 (Add to both sides)

(x-4)²+(y+2)²=12 (Reduce trinomials)

Step 2: Interpret the center and radius of the circle:

The equation of a circle is (x-h)²+(y-k)²=r² where (h,k) is the center of the circle and r is the radius of the circle. Since (h,k) translates to (4,-2), this means the center of the circle is (4,-2). Since r²=12, then r=√12=2√3 units