The sum of two numbers is 53 and the difference is 23. What are the numbers?

Answer:

Steps:

SA = 2(L×W) + 2(H×L) + 2(H×W)

given:

L = 9 cm

W = 4 cm

H = 7 cm

SA = 2(9×4) + 2(7×9) + 2(7×4)

SA = 2×36 + 2×63 + 2×28

SA = 72 + 126 + 56

SA = 254 cm²

Answer: d

Step-by-step explanation:

Given:

In triangle [tex]ABC, AB=9,BC=4,AC=7[/tex].

To find:

The measure of angle C.

Solution:

We have, [tex]AB=9,BC=4,AC=7[/tex]. It means [tex]c=9,a=4,b=7[/tex].

According to the law of cosines:

[tex]cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]

[tex]cos C=\dfrac{4^2+7^2-9^2}{2(4)(7)}[/tex]

[tex]cos C=\dfrac{16+49-81}{56}[/tex]

[tex]cos C=\dfrac{-16}{56}[/tex]

Taking cos inverse on both sides, we get

[tex]C=cos^{-1} \dfrac{-16}{56}[/tex]

[tex]C=106.60155[/tex]

[tex]C\approx 106.6[/tex]

Therefore, the correct option is C.

Answer:

sum of interior angle of a polygon/180=n-2

Answer:

84+ z =180

Step-by-step explanation:

42 x 2=84

84+ z =180

Answer:

∠ P = 51°, ∠ Q = 89°

Step-by-step explanation:

The opposite angles in a cyclic quadrilateral aresupplementary , then

∠ P = 180° - 129° = 51°

∠ Q = 180° - 91° = 89°

Answer:

154 m^2

Step-by-step explanation:

Area of a circle:  A = (pi)(radius)^2

Here, r = 7 m, so A = (3.14)(7 m)^2 = 154 m^2

Answer:

AB ≈ 312.1 m

Step-by-step explanation:

Using the Sine rule in the triangle, then

[tex]\frac{AB}{sin85}[/tex] = [tex]\frac{240}{sin50}[/tex] ( cross- multiply )

AB × sin50° = 240 × sin85° ( divide both sides by sin50° )

AB = [tex]\frac{240sin85}{sin50}[/tex] ≈ 312.1 m ( to 1 dec. place )

Answer:

Step-by-step explanation:

The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.

a²+b²=c²

30²+72²=c²

900+5184=c²

[tex]\sqrt{6084} =c^{2}[/tex]

c=[tex]\sqrt{6084} =78[/tex]

Hope this helped!!

Answer:

78

Step-by-step explanation:

Answer:

y = 52

x = 5

Step-by-step explanation:

Side BC and Side BA are congruent sides ( indicated by the two dashed lines. )

This meaning that their opposite angles are also congruent

Side BC's opposite angle is ∠A and side BA's opposite angle is ∠C

Hence ∠A ≅ ∠C

And because ∠A = 52°, ∠C also equals 52°

Hence y = 52°

Now we want to find x

We can do this by creating an equation using the triangle angle rule which states that the angles in a triangle add up to equal 180

so...

180 = 14x + 6 + 52 + 52

now we solve for x

step 1 combine like terms

52 + 52 + 6 = 110

now we have 180 = 110 + 14x

step 2 subtract 110 from each side

180 - 110 = 70

110 - 110 cancels out

now we have 70 = 14x

step 3 divide each side by 14

14x/14 = x

70 / 14 = 5

we're left with x = 5

Answer:

Step-by-step explanation:

( − 1 )  ( + 1 )

See attachment for reply and answer.

Answer:

39

Step-by-step explanation:

To solve this problem we can use a proportion:

150 : 100 = x : 26

x = (26*150)/100 = 39

Answer:

39

Step-by-step explanation:

150% of 26 is 39

on a calculator do 26 times 150% and it equally 39

another way to do it is do 26 divided by 2 which equals 13, then add 13 to 26 and you get 39

Answer:

40%

Step-by-step explanation:

Answer:

Jamie got 40% of his test correct.

Step-by-step explanation:

4 out of 10 = [tex]\frac{4}{10}[/tex]

                  = [tex]\frac{40}{100}[/tex]

                  = 40%

hope this helps :)

Answer: 22 the answer is 22 but id.k if thats what ur looking for

Step-by-step explanation:

Answer:

S

Step-by-step explanation:

all of them because it is not a straight line

Answer:

k=45

equation: y=x+45

Step-by-step explanation:

60=15+k

substract 15 on both sides to get 45=k

Answer:

A & C

Step-by-step explanation:

Answer:

56.........................

Answer:

402.1

hope it helps

please mark Brainliest

Step-by-step explanation:

incorrect question I think as x got eliminated while the question is solved

Answer: 591 hours

Step-by-step explanation:

First find out what 2/3 of the water is:

= 2/3 * 24,000

= 16,000 gallons

650 gallons are used per day so the time it takes in days to use the above is:

= 16,000 / 650

= 24.62 days

There are 24 hours in a day. The amount of time it will take to use this amount of water in hours is:

= 24.62 * 24

= 590.88

= 591 hours

Alright, so first we should add up all of the teachers to get the gist of how many there are in each school.

I got 50 in both North MS and West MS.

F. Half of the teachers would be 25. music+cooking=25 teachers. Correct.

But now, we need to find percentages.

Convert the problem to an equation using the percentage formula: P% * X = Y.

30%x50= 15. Does 9+6 equal 15? Yes, F is Correct.

G. A quarter of 50 is 12.5. (There can't be decimals of teachers though.) At West MS 11 teachers enjoy reading and 14 enjoy outdoor recreation. 11 is less than 12.5 and 14 is more. Incorrect.

H. A majority means more than half in simple terms. Do more than half of the teachers at North MS enjoy rec and cooking? (6+19) It's tricky as there's 25 teachers. However, it is not greater than 25 so it is not a majority. Incorrect.

J. Less than half of 50 teachers at West MS enjoy rec and music. (14+15=29)

Incorrect.

Hope this helped! Khan Academy is a fantastic resource.

Answer:

F.) Half of the teachers at West MS enjoy cooking and music, while only 30% of the teachers at North MS enjoy cooking and music.

Step-by-step explanation:

NORTH MS                     →      TOTAL: 50 TEACHERS            

R:16  C:6  OR:19  M:9      →      R:32%  C:12%  OR:38%  M:18%

WEST MS                         →      TOTAL: 50 TEACHERS            

R:11  C:10  OR:14  M:15     →      R:22%  C:20%  OR:28%  M:30%

F.)

Half of the teachers at West MS enjoy cooking and music ✓

30% of North MS enjoy cooking and music ✓

This statement is TRUE.

G.)

Over a quarter of West MS teachers enjoy reading

Less than a quarter of West MS teachers enjoy outdoor recreation

This statement is FALSE.

H.)

The majority of teachers at North MS enjoy outdoor recreation and cooking

This statement is FALSE.

J.)

Less than half of West MS teachers enjoy outdoor recreation and music

This statement is FALSE.

Answer:

37+23

Step-by-step explanation:

I searched it up. someone else asked the exact same question. I hope it's correct though.

Answer:

The larger number is 37 and the smaller number is 14.

Step-by-step explanation:

Let's solve this problem in terms of x and y:

x+y=60

x-y=14

x will be the larger number while y will be the smaller number.

When we add both those equations together, we get 2x=74 since y-y=0. Now we do 74÷2 which equals 37 so x=37. Finally we know that x=37 so our y  must be the remaining part since x+y=60. We simply subtract 37 from 60 and get our smaller number, 23.

I hope this helps :)

Answer:

. check in cu.mu.com for the answer

Answer:

350 miles in 7 hours

Step-by-step explanation:

If you drive 150 miles in 3 hours, you need to find the "base" meaning how many miles you can go to by 1 hour. To do that you divide 150 with 3 Which equals to 50. So in 1 hour you can travel up to 50 miles. But we need to find how many miles you can go by 7 hours. For that you multiply 50 with 7.

Therefore the answer is 350 miles.

Answer:

the answer is no solutions

Step-by-step explanation:

Formula:

Shape =  Cone

Radius (R) =  1

Height (H) = 4

Formula of surface area (cone) = A=πr(r+h2+r2)

How to find a surface area of a cone?

Using the formula of the cone (A=πrl+πr2) We add the formula so the radius and the height (l=r2+h2). Since we are solving for a our formula will end up looking like (A=πr(r+h2+r2)=π·1·(1+42+12)≈16.09471). Which will equal our answer which is 16.09471. Round to the nearest tenth will be 16.09.

Answer: 16.09

Hope this helps.

Answer:

16.09

Step-by-step explanation:

16.09

Answer:

That's the question

Step-by-step explanation: