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Answer:

Answer: The measure of ∠CBD is 36°. The length of segment CD is 6 cm.

The trigonometric function gives the ratio of different sides of a right-angle triangle. The length of the segment CD will be equal to 12cm (60/5).

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

1.   For a regular pentagon, the measure of an internal angle is equal to 108°, therefore, the measure of ∠ABD is 108°.

2.   Since the line CB is bisecting ∠ABD, therefore, the measure of the ∠CBD is 54°.

3.   The length of the segment CD will be equal to the length of a side of the pentagon, therefore, the length of the segment CD will be equal to 12cm (60/5).

4.   The trigonometric ratio that can be used to compare BC to CD using ∠CBD is Tangent.

5.   The approximate length of BC can be determined as,

Tan(54°)=CD/BC

BC = CD/Tan(54°)

BC = 8.719 cm

6.    The approximate length of BD can be determined using the Pythgorus theorem,

BD² = CD² + BC²

BD = 10.5835 cm

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Answer:D

Step-by-step explanation:

Convert 100 yards to feet, which becomes 300 feet.

6 inches into feet, 0.5 feet.

18 feet times 300 feet times 0.5 feet is 2700 cubic feet.

Divide 2700 by 250 and you get 10.8. Meaning, you need 11 trucks since there is a remaining 0.8.

The minimum number of truckloads required to completely cover the section of road to a depth of 6 inches should be 11.

Since

The section is 100 yards long and 18 feet wide. The company's truck can haul 250 cubic feet of gravel per load.

So here first we have to convert 100 yards to feet so it should be 300 feet.

Now 6 inches into feet should be 0.5 feet

Now the total be like

= [tex]18 \times 300 \times 0.5[/tex]

= 2700

Now the minimum number should be

= [tex]2700 / 250[/tex]

= 10.8

= 11

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Answer:

your answer is number 3 or 4 I believe it is both

Answer:

The answer is four since the probability is 1/4 in fraction form

Step-by-step explanation:

hope this helps!

Answer:

The least common denominator is 12.

Step-by-step explanation:

Here's how I got my answer.

First, I listed out the multiples of 4, which is the denominator of 1/4.

4: 4, 8, 12, 16

Next, I listed out the multiples of 3, which is the denominator of 2/3.

3: 3, 6, 9, 12

The smallest number they have in common is 12.

Therefore, the least common demoninator (LCM) is 12.

Answer:

8 dimes

7 quarters

Step-by-step explanation:

Let number of

Dimes = x ; quarters = y

10x + 25y = 255 ___(1)

25x + 10y = 270 ___(2)

From (1)

10x = 255 - 25y

x = (255 - 25y) / 10

x = 25.5 - 2.5y

Put x = 25.5 - 2.5y in (2)

25(25.5 - 2.5y) + 10y = 270

637.5 - 62.5y + 10y = 270

-52.5y = - 367.5

y = 367.5 / 52.5

y = 7

x = 25.5 - 2.5(7)

x = 25.5 - 17.5

x = 8

Answer:B-t=37705-20h

Step-by-step explanation:The answer is B because you need to get rid of all  of the money she made working so you subtract 20 by how ever many hours she has worked

Answer:

Second option : t = 37705 - 20h

Step-by-step explanation:

I took the test

Answer:

It would be 67200.

Step-by-step explanation:

You just have to move the decimal point 4 times to the right.

Hope this helped you out!!

Step-by-step explanation:

For 3 scoops = 18 cookies

Lets use the unitary method,

So for 1 scoop, how many cookies?

So, 18 /3 = 6

So, 1 scoop = 6 cookies

So for 4 scoops we will multiply by 6 (as 1 scoop = 6 cookies)

So, 4 x 6 = 24

So, 24 cookies can be made if we add 4 scoops of flour

4 scoops = 24 cookies

Answer:

129.6

Step-by-step explanation:

A= 1/2 bh

=7.8 x 9 x 1/2

= 35.1

A= 1/2 bh

=7x 9 x 1/2

= 31.5

31.5 x 3

= 94.5

Add

35.1 + 94.5 = 129.6

Answer:

B: 6 units

Step-by-step explanation:

just took the test

The area of triangle GHJ is 6 square units.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

To find the area of triangle GHJ, we can use the formula:

Area = (1/2) x base x height

where the base is any one of the sides of the triangle, and the height is the perpendicular distance from that side to the opposite vertex.

We can choose any side of the triangle as the base, but it is convenient to choose the side that is horizontal or vertical to simplify the calculations.

In this case,

We can choose the base to be the side GH, which has a length of 3 units (since the x-coordinates of G and H are different).

To find the height of the triangle,

We need to draw a perpendicular line from the vertex J to the base GH, and then calculate its length.

Since the x-coordinate of J is 4 and the x-coordinates of G and H are both 1, the base GH is 3 units long.

Also,

The y-coordinate of J is 5, and the y-coordinates of G and H are both 1, so the height of the triangle is 4 units.

The area of triangle GHJ is:

Area = (1/2) x base x height

Area = (1/2) x 3 x 4

Area = 6 square units

Thus,

The area of triangle GHJ is 6 square units.

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Answer: 78.5

Step-by-step explanation:

Answer:

11 servings include 11(3/5), or 33/5, or 6 3/5, cups of rice.

Step-by-step explanation:

If 1 serving includes 3/5 cup of rice, then multiplying both numerals here by 11 produces a similar statement for 11 servings:

11 servings include 11(3/5), or 33/5, or 6 3/5, cups of rice.

Answer:

i think it wants you to find how mnay cubits the pyramid is- but like how are you supposed to do that with the info given hdjbfsd sorry shawty i would ask a teacher on this one :(

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

Simplify the expression

Answer:

y = 126° + 29° = 155°

Step-by-step explanation:

I think this may be a solution:

126°+29°=155°

So, y=155°

Answer:

cylinder

Step-by-step explanation:

Answer

cylinder!!

Step-by-step explanation:

so the points "(1, 1), (1, 4), (3, 4) and (3, 1)" they are all positive so this makes this easier tbh so it looks like this once u put them on a grah

.        .

.        .

its a rectangle then it says to rotate on y = 1 which u look at the graph u just put this rectangle on its side like this

.               .

.               .

so then look at the answer options

A.) Cone

B.)Cylinder

C.)Sphere

D.)Pyramid

so it CANT be A bc 1 its a rectangle and if it was a cone it would have 3 points, not 4, bc it would be a triangle

It can be B bc on a graph it will be 2D and a Cylinder has 4 points on a graph(in 2D) which the problem is telling you to make something 2D into something 3D...and is a rectangle in 2D

It CANT be a C bc in 2D it would be a circle and straight up, a square isnt a circle, and the points on the problem is a square ant there would be so many points to put down if it was a circle

It CANT be a D bc once again this would be a triangle and that would have 3 points, or maybe 5(if your looking overhead of the Pyramid where u can see all 4 corners, like a square then the middle point) so a square has all equal sides, rectagle does not, it has 2 and 2 equal sides. 2 sides being small and paralell, and 2 long sides being parallel.

:) have a good day

btw answer is

Answer:

m = 3

Step-by-step explanation:

Answer:

m = 3

Step-by-step explanation:

6m + 5 = m + 20

6m + 5 - 5 = m + 20 - 5

6m = m + 15

6m - m = m - m + 15

5m = 15

5m ÷ 5 = 15 ÷ 5

m = 3

Answer:

1/18

Step-by-step explanation:

yur welcome