In ΔSTU, the measure of ∠U=90°, the measure of ∠S=31°, and TU = 77 feet. Find the length of US to the nearest tenth of a foot.

Answer:

1080 minutes

Step-by-step explanation:

12x45: garys team

45x2=90 : hector's team

12x90=1080

Answer:

3:2

Step-by-step explanation:

I'd say 3:2 because when you divide 45/30, you get 3/2, which is the same as 3:2. Hope this helps!

Answer: 1 boy for every 3 girls

Step-by-step explanation:

I put 30/45 into a fraction and simplified.

Answer:

Area = 12 square units

Step-by-step explanation:

Area = b x h x 1/2

Area = 8 x 3 x 1/2

Area = 24 x 1/2

Area = 12

Hope that helps! :)

Answer:

12 is the area . ihshssisjjss

Answer:

[tex]P = [-3/5,2.33][/tex]

Step-by-step explanation:

Given

See attachment for line segment RQ

[tex]P = \frac{5}{6}[/tex] of RQ

Required

The coordinates of P

Using line segment ratio formula, we have:

[tex]P = [\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n}][/tex]

If P is at:

[tex]P = \frac{5}{6}[/tex]

Then:

[tex]m : n = \frac{5}{6} : 1 -\frac{5}{6}[/tex]

Solve

[tex]m : n = \frac{5}{6} : \frac{6-5}{6}[/tex]

[tex]m : n = \frac{5}{6} : \frac{1}{6}[/tex]

Multiply by 6

[tex]m : n = \frac{5}{6} *6: \frac{1}{6} * 6[/tex]

[tex]m : n = 5 : 1[/tex]

By comparison

[tex]m=5\ \& n = 1[/tex]

From the attached line segment

[tex]R(x_1,y_1) = (4,-1)[/tex]

[tex]Q(x_2,y_2) = (-5,3)[/tex]

So, we have:

[tex]P = [\frac{5*-5 + 1*4}{5+1},\frac{5*3 + 1*-1}{5+1}][/tex]

[tex]P = [\frac{-25 + 4}{6},\frac{15 -1}{6}][/tex]

[tex]P = [\frac{-21}{6},\frac{14}{6}][/tex]

[tex]P = [-3/5,2.33][/tex]

Answer:

Length of side of square = 8 inch

Step-by-step explanation:

Given:

Length of rectangular wire = 9 inch

Width of rectangular wire = 7 inch

Find:

Length of side of square

Computation:

We know that same wire is used from square

So,

Perimeter of rectangle = Perimeter of square

2[l + b] = 4 x side

2[9 + 7] = 4 x Length of side of square

2[16] = 4 x Length of side of square

32 = 4 x Length of side of square

Length of side of square = 32 / 4

Length of side of square = 8 inch

Answer:

m = -20

Step-by-step explanation:

first distribute:

-4(m + 18) = 8

-4m - 72 = 8

Now add 72 to both sides to get m by itself

-4m = 80

and divide by -4 on both sides

m = -20

Hope this helped! :)

Answer: m = -20

Step-by-step explanation:

−4(m + 18) = 8

Step 1: Simplify both sides of the equation.

−4(m + 18) = 8

(−4)(m) + (−4)(18) = 8 (Distribute)

−4m + −72 = 8

−4m − 72 = 8

Step 2: Add 72 to both sides.

−4m − 72 + 72 = 8 + 72

−4m = 80

Step 3: Divide both sides by -4.

−4m / − 4 = 80 / −4

m = −20

Answer:

3 x-y=5

Step-by-step explanation:

Answer:

7x-2=19

5x=15

5x+6=21

................

Step-by-step explanation:

Here x = 3

3x = 1 (False)

3* 3 ≠1

3x = 33 (False)

3 *3 ≠ 33

7x - 2 =19 (True)

7 *3 - 2 = 19

21 - 2 = 19

19 = 19

2x = 5 (False)

2 *3 ≠ 5

5x = 15 (True)

5 * 3 = 15

15 = 15

5x + 6 = 21 (True)

5 * 3 + 6 = 21

15 + 6 = 21

21 = 21

Hope it will help :)❤

Answer:

Apothem:

radius is the same length as the base/length of each side of the hexagon.

r = 8

use pythagorean theorem to calculate the apothem

[tex]4^2+a^2=8^2\\\\16+a^2=64\\\\a^2=48\\\\a= 6.928[/tex]

≈ 6.9

Area

[tex]A = \frac{3\sqrt{3} }{2} *a^2\\\\=\frac{3\sqrt{3} }{2}(6.928)^2\\\\=124.7[/tex]

Answer:

21.8

Step-by-step explanation:

Answer:

[tex]6x^{2} -3x+1[/tex]

Step-by-step explanation:

[tex]2x(6x^{2} -3x+1)/2x\\[/tex]

cancel 2 x

[tex]6x^{2} -3x+1[/tex]

Answer:

x = 25

Angle B = 65 degrees

Angle C = 50 degrees

Step-by-step explanation:

All triangles will add up to 180 degrees.

65 + 3x - 10 + 2x = 180

Combine like terms

55 + 5x = 180

Subtract both sides by 55

5x = 125

Divide both sides by 5

x = 25

Plug in the value for x in angle B:

3(25) - 10

75 - 10

65

Do the same for angle C:

2(25)

50

Check your work:

65 + 65 + 50 = 180

180 = 180

Correct

Answer:

the more leaking place is the bathroom

Explanation:

1 hour=60 minutes

   the bathroom drift 120 drops in 60 minutes

so, the bathroom drift 1 drop in 120/60 minutes

                                                    =60 minutes

    the other one in the kitchen dripped 80 drops in 30 minutes.

so, the other one in the kitchen dripped 1 drop in 80/30 minutes

                                                                                   = 8/3 minutes

so the more leaking place is the bathroom because 60 > 8/3

please mark as brainliest

Answer:

y=10/7x-1/7

Step-by-step explanation:

m=(-3-7)/(-2-5)

m=-10/-7

m=10/7

y-y1=m(x-x1)

y-7=10/7(x-5)

y=10/7x-50/7+7

y=10/7x-50/7+49/7

y=10/7x-1/7

Answer:

27.7 inches

Step-by-step explanation:

C = 2rπ

C = 8.8π

C = 27.7 in

Answer:

See attached image.

Step-by-step explanation:

How about this answer to both?  I've seen cylindrical-conic tanks in a local brewery.  The tank is a cone with a cylinder on top.  It's important to know the volumes of both the cylinder and the cone.

Answer:

Simplifying

6z2 + -8z + 1 = 0

Reorder the terms:

1 + -8z + 6z2 = 0

Solving

1 + -8z + 6z2 = 0

Step-by-step explanation:

Answer:

£8.4

Step-by-step explanation:

Since she swapped half and now has £4.20, then multiply that by 2

                                                     4.20 × 2 = 8.4

Alex initially had £8.4

The initial amount of Alex's 2p coins is £8.40

Let the initial worth of 2p coins = y

We can then solve for the worth of y, which is the titla amount Alex had initially ;

Therefore, the amount of money Alex had initially is £8.40

Learn more : https://brainly.com/question/18109354

Answer:

8 students

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

There are 4:7 boys to girls, so there is a multiple of 11 people, 4 + 7 = 11.

there are 4*3 boys and 7*3 girls, 12 boys and 21 girls

Answer:

Step-by-step explanation:

Volume of a cube = (side)³

                              = (20)³

                              = 8000 cubic in.

Volume of the sphere which just fits in = [tex]\frac{4}{3}\pi r^{3}[/tex]

Here, r = Radius of the sphere

Since, sphere just fits in, radius of the sphere = half of the dimension of the cube

r = [tex]\frac{20}{2}[/tex]

r = 10 in

Therefore, volume of the sphere = [tex]\frac{4}{3}\pi (10)^3[/tex]

                                                        = 4188.79 cubic inch

Volume of the space between the cube and sphere = 8000 - 4188.79

                                                                                       = 3811.21 cubic inch

Answer:

48

Step-by-step explanation:

First, get a total of the ration so 3+4=7

Then 112/7=16

So there is 16 times he puts 3 ounces of red and 4 ounces of blue.

3x16 = 48    (red)

4x16 = 64    (blue)

4+48=112

Answer:

2.5 hours

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

$417.91

Step-by-step explanation:

Answer:

please check the pdf the solution for your answer is in it. hope it helps :)

Step-by-step explanation: