Use trigonometry to work out the size of angle y.
+
+
11 cm
у
6 cm

Answer:

x = 4[tex]\sqrt{3}[/tex] , y = 4

Step-by-step explanation:

using the cosine and sine ratios in the right triangle and the exact values

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , sin30° = [tex]\frac{1}{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{8}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2x = 8[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

x = 4[tex]\sqrt{3}[/tex]

and

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{8}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2y = 8 ( divide both sides by 2 )

y = 4

Answer:

504

Step-by-step explanation:

14x18x2=

(14x18)x2=

252x2=

504

Answer: 45

Step-by-step explanation: 2 1/4 = 2hr and 15 min

1/3 of 2hr and 15 min = 45

Amount of time spent by Nathan's family watching the video is 3/4 hour or 45 minutes.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Here, a is called the numerator and b is called the denominator.

Given that,

Nathan’s family spent 2 and 1/4 hours visiting national monument near their home.

They watched a video in the visitor center for 1/3 of that time.

Total time spent by Nathan's family in the monument = 2 + 1/4 hours

                                                                                         = 9/4 hours

Fraction of time spend in watching the video = 1/3

Time spend in watching the video = 1/3 × 9/4

                                                         = 3/4 hour

                                                         = 45 minutes

Hence the time spent is 3/4 hour.

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Answer:

Step-by-step explanation:

Remark

There are many ways you can do this. I think the simplest way is to find the area of the rectangle enclosing the winged shape and take away the area of the three unshaded triangles.

Area of enclosed rectangle

Area = L * w

L = 26    in

w =  15   in

Area = 26 * 15

Area = 390    square inches.

Find the area of the triangle on the right.

Area = 1/2 * b * h

base = 26 inches

height = 15 - 6 = 9

This is a little tricky. What you need to do to get the height of the triangle is realize that it is made from a line that goes from the base of the triangle to its peak. This line is perpendicular to the base. The line you just drew is 15 inches tall, same as the width of the enclosing rectangle.

Substitute values into the formula

Area = 1/2 * 26 * 9

Area = 117 square inches.

Find the area of the top and bottom triangles.

These 2 triangles are the same sort of thing only the base requres a bit of manipulation

height = 15 inches

base = (26 - 14)/2

base = 12/2

base = 6

Again, this requires a little bit of thought. You have 2 bases making up each of the right triangles. To find the sum of both of them, you take 26 and subtract 14 from it. That's where the 12 comes from. Now you divide 2 to get the base of each of the triangles. That gives you 6.

Find the area of one of the triangles.

Area = 1/2 * b * h

Area = 1/2 * 6 * 15

Area = 45 square inches

Find the area of both triangles.

Area of triangles at the top and bottom = 2*45 = 90

Finally find the area of the shaded area.

Area = enclosed rectangle - top triangle and bottom triangle - the triangle on the right.

Area shaded area = 390 - 45 - 45 - 117 = 183

Answer: Area shaded region = 183 square inches.

Answer:

10

Step-by-step explanation:

use a number line

6 + 4 =10

Answer:

Explanation:

solve, insert equation 2 into 1

Find x:

x = 2(y)

x = 2(8)

x = 16

Answer:

y = 8

x = 16

Step-by-step explanation:

Given equations:

Reorganize the equations:

[tex]\left \{ {{x + y = 24} \atop {x = 2y}} \right.[/tex]

[tex]\left \{ {{x + y = 24} \atop {x - 2y = 0}} \right.[/tex]

Subtract:

[tex]\left \{ {{x + y = 24} \atop {x - 2y = 0}} \right.[/tex]

[tex]{ {{[x - x] + [y - (-2y)]= 24 - 0}[/tex]

[tex]{ {{x - x + y + 2y= 24}[/tex]

[tex]3y= 24}[/tex]

Divide 3 both sides:

[tex]\dfrac{3y}{3} = \dfrac{24}{3} }[/tex]

[tex]y = 8[/tex]

Substitute y in any equation:

[tex]x = 2(y)[/tex]

[tex]x = 2(8) = 16[/tex]

Answer:

c

Step-by-step explanation:

I think its c because there is no relation between 2x-1 and 4-x ,it is not equals its + because there is no equals in a straight angle

Answer:

There are 10 different outcomes of flipping a coin five times.

Step-by-step explanation:

there are two sides on a coin. 2 x 5 = 10

Hope that helps!

Answer:

2

Step-by-step explanation:

it heads or tales a coin is two-sided no matter what kind unless you are talking about all together then it would be 10

The diameter and height of the cylinder are 4.98ft and 7.47 feet respectively

The formula for calculating the surface area of a cylinder is expressed as:
S = 2πr(r+h)

where

r is the radius

h is the height = 3r

Substitute into the expression to have:

S = 2πr(r+3r)

S = 2πr(4r)

S = 8πr²

155.83 = 8πr²

r = 2.49feet

Since h = 3r

h = 3(2.49)

h = 7.47 feet

Hence the diameter and height of the cylinder are 4.98ft and 7.47 feet respectively

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Answer:

The radius and height of the cylinder are 2.49 and 7.47 meters respectively

Step-by-step explanation:

Answer:

C is the answer please

C. 5^5/4

The amount of water Carol should be drinking per hour to meet her total fluid needs is 16.67 ounces.

Division is a mathematical operations that groups a number into equal parts using another number. The sign used to denote division is ÷.

Water to be drank per hour = total water drank / hours of hike

50 / 3 = 16.67 ounces

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Get total lengths by multiplying:

10 x 12.6 = 126

6 x 16.1 = 96.6

Add the total lengths together and divide by 16:

126 + 96.6 = 222.6

222.6 / 16 = 13.9125

Rounded to 2 decimal places = 13.91

answer: 13.91

Answer:

8

Step-by-step explanation:

2x + 7 = 23

2x = 16

X = 8

Answer:

(- 2, 0 )

Step-by-step explanation:

to find where the line crosses the x- axis, let y = 0 in the equation and solve for x.

0 = 3x + 6 ( subtract 6 from both sides )

- 6 = 3x ( divide both sides by 3 )

- 2 = x

the line crosses the x- axis at (- 2, 0 )

Instead of y write 0:

0=3x+6

0=3x+6

Subtract 6 on both sides :

-6 = 3x

Switch the order :

3x = -6

Divide by 3 on both sides :

x = -2

Now that we know the x coordinate of the point, we should find the y coordinate, which is always equal to 0.

(-2, 0)

Answer:

896 meters sq

Step-by-step explanation:

Step 1. Find the area of each square

Big square: 36 x 36 = 1296

Small square: 20 x 20 = 400

Step 2. Find the area of the shaded region only

big square A - small square A = ONLY shaded region area

1296 - 400 = A

896 [tex]m^{2}[/tex] = A

I hope this helps!

Answer:3p

Step-by-step explanation:

405 0p x 7

Answer:

P= 2(3W + 7) + 2(W) = 110.

                         P= 6W + 14 + 2W = 110.

                           = 8W + 14 = 110.

                           = 8W = 110 - 14 = 96

                                 W = 96/8 = 12- inches.

Now solve for (L) by L = 3W + 7 = 3(12) + 7 = 36 + 7 = 43- inches

7=43 inches if this help.can u mark me brainliest

The width of the rectangle is 12 inches and the length is 43 inches.

The perimeter is defined as the sum of all the sides of the figure. It is given that the length of a rectangle is eight more than triple the width and the perimeter is 168 inches.

The length and the width are calculated as:-

P= 2(3W + 7) + 2(W) = 110.

6W + 14 + 2W = 110.

8W + 14 = 110.

8W = 110 - 14 = 96

W = 96/8 = 12 inches.

Now solve for (L) by

L = 3W + 7 = 3(12) + 7

L = 36 + 7 = 43 inches

Hence, the width is 12 inches and the length is 43 inches.

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Answer:

10.92cm square

Step-by-step explanation:

Area of a triangle= length * width/ 2

7.8*2.8=21.84

21.84/2=10.92

The areas listed that are possible areas of the square quilts Garrett can make will be 0.25, 0.81, etc.

Your information is incomplete as your didn't give the areas listed. Therefore, an overview will be given.

It should be noted that the area of a square is simply gotten by multiplying the side by itself. For example, if a side is 4cm, the area will be 4 × 4 = 16cm².

In this case, we are told that each patch has an area of 1 ft. Therefore, the square of the area gotten should not be more than 1 feet. Possible values include:

0.5 × 0.5 = 0.25

0.9 × 0.9 = 0.81

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Garrett is cutting square patches from old sports jerseys. Each

patch has an area of 1 ft?. He wants to put some of the

patches together to make square quilts.

Which areas listed below are possible areas of the square

quilts Garrett can make? What side length will each of

those square quilts have? Show your work.

We can find the sum of the interior angles of a regular polygon using the formula : (n-2) x 180, where n is the number of sides.

We replaced in : (24-2) x 180 = 3960

So, all the interior angles in this polygon add up to 3960.
-> Each interior angle is equal to 3960 : 24 = 165.

Answer:

Infinitely many solutions.

Step-by-step explanation:

[tex]3x+y=2[/tex]

[tex]6x+2y=4[/tex]

[tex]6x+2(2-3x)=4[/tex]

[tex]6x+4-6x=4[/tex]

[tex]6x-6x=4-4[/tex]

[tex]0=0[/tex]

Since the two equations are the same, the system of equations has infinitely many solutions.

Answer:

Step-by-step explanation:

#1. right 5 units

#2. down 2 units

#3. The translation rule is (5, -2)

Answer:

Step-by-step explanation:

Find the dimensions of the kitchen, convert to feet

The area is

Answer:

5.56 ft² (nearest hundredth)

Step-by-step explanation:

Given:

If the scale is 1 : 20, then to scale up, multiply the width and length by 20:

⇒ width = 4 × 20 = 80 in

⇒ length = 5 × 20 = 100 in

Area = width × length

        = 80 × 100

        = 800 in²

1 ft = 12 in

⇒ 1 ft² = 12² in² = 144 in²

Therefore, to find the area of the room in square feet, divide the area in inches by 144:

⇒ area = 800 ÷ 144

            = 5.56 ft² (nearest hundredth)

Answer:

238

Step-by-step explanation:

First, you have to figure out the area for each of the boxes, and then you add all of the areas together

Answer:

x = 1

Step-by-step explanation:

[tex]7^{4x-6}=\frac{1}{49}[/tex]

[tex]7^{4x-6}=7^{-2}[/tex]

4x - 6 = -2

4x = -2 + 6

4x = 4

(Divide both sides)

x = 1

Answer:

Exact Form:

49/4

Decimal Form:

12.25

Mixed Number Form:

12 1/4

Step-by-step explanation:

Isolate the radical, then raise each side of the equation to the power of its index.

√x-2=√x-10

x-4√x+4=x-10

-4√x+4=-10

-4√x=-10-4

-4√x=-14

√x=7

-

2

x= 49

---

44

Answer:

164.

Step-by-step explanation:

We can break this shape into a rectangle and a trapezoid.

Area for a rectangle is l x w, or in this case, 8 x 16.

8 x 16 = 128, so the rectangle’s area is 128.

Area for a trapezoid is ((a+b)/2)h.

We do not have all the info we need to solve this equation yet. We need the measurement of two sides of the trapezoid. This is 16 - 12, or 4. The other side of the trapezoid we need to find is 16 - 8, or 8.

Now we can plug in the numbers.

((8 + 10)/2)4

(18/2)4

9 x 4

36

Now we can add up the areas of both shapes to find the answer.

36 + 128 = 164, so the answer is 164.

Answer:164

Step-by-step explanation:

step 1: divide the irregular shape into regular shapes in this case Triangle and two rectangles

step 2: Calculate the individual areas for the shapes the area of the rectangle is (128) because the sides 16 and 8 add up to 128 as area.For the smaller rectangle the area is (32) since 8 times 4 is equal to 32 and lastly for the triangle the area is four since the base of 2 times the height of 4 equals 8 and 8 divided by two is 4 so the are of the triangle is (4)

step 3: Combine all the areas 128+32+4=64 therefore the area for the irregular figure is (164)