In the triangle below, find the measurements of the unknown angles.
2a
75
O °
A. 75°, 1050
OB. 40°, 80°
Oc.
C. 50, 10°
OD. 25°, 50°
O E
E. 35º, 70°

Answer:

A) x/4 + y/5 = 2

B) x/2 + y = - 3

Step-by-step explanation:

We multiply A) by -4 and B) by 2

A) -x - 4/5 y = -8

B) x + 2y = -6 then add A) and B)

1.2y = -14

y = 11 (2/3) = -11.6666666...

x + 2y  = -6

x = -6 -2*-11.6666666

x =  -23.3333332

Answer:

198 inches^3

Step-by-step explanation:

Volume of a rectangular prism = Length × width × height

Length = 11 inches

Width = 6 inches

Height= 3 inches

Volume of a rectangular prism = Length × width × height

= 11 inches × 6 inches × 3 inches

= 198 inches^3

The volume of the rectangular prism with dimensions 11 inches long, 6 inches wide, 3 inches high is 198 cubic inches

Answer:

Any real number will have only one real cube root. Hence the technicalities associated with the principal root do not apply.

Step-by-step explanation:

Answer:

56740.15908m³

Approximately to the nearest whole number, the volume of 46 acre-ft of reservoir = 56740m³

Step-by-step explanation:

1 meter = 3.28084ft

1 acre = 43,560 ft²

Therefore, using our unit conversion, the volume in S.I units of a reservoir containing 46 acre- ft of water is calculated as :

46 acre - ft × (1 meter/3.28084ft) × (43,560ft²/1 acre) × (1 meter/3.28084ft)²

= 2003760/35.314670112

= 56740.15908m³

Approximately to the nearest whole number, the volume of 46 acre-ft of reservoir = 56740m³

Answer:

75

Step-by-step explanation:

If the triangles are similar, it means the ratio between the two give sides is the same. As seen from the smaller triangle the ratio of the two top sides would be 16:50 or 8:25.

Since the first side of the bigger triangle (24) is three times 8 (it's ratio side), then the other side must be 3x25 = 75, which maintains the ratio 8:25 between the two sides (24:75).

Hope this helped!

Answer:

[tex]\frac{PQ}{DE}[/tex] = [tex]\frac{4}{6}[/tex]

Step-by-step explanation:

Given

Δ PQR ~ Δ DEF

Then the ratio of corresponding sides are equal

The corresponding letters in the names of the triangles gives the corresponding sides.

Thus PQ/DE, QR/EF, PQ/DF

In this case

[tex]\frac{PQ}{DE}[/tex] = [tex]\frac{4}{6}[/tex]

Explanation:

There are 5 letters, so there would be 5! = 5*4*3*2*1 = 120 different permutations; however, there are 2 letter 'o's meaning we have double counted. To correct this, divide by 2 to get 120/2 = 60.

If there was a way to tell the two 'o's apart, then the answer would be 120.

The total number of ways the letter in the word "spoon" can be arranged is 120 and this can be determined by using the given data.

Given :

Word  --  Spoon

The following steps can be used in order to determine the total number of ways the letter in the word spoon is arranged:

Step 1 - According to the given data, the word is 'spoon'.

Step 2 - The total number of letters in the word 'spoon' is 5.

Step 3 - So, the total number of ways the letter in the word "spoon" can be arranged is:

[tex]= 5 \times 4\times 3\times 2 \times 1[/tex]

Step 4 - Simplify the above expression.

= 120

Therefore, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/1216161

Answer:

36. 58.34

37. 530.66

Step-by-step explanation:

36. 2x3.14x8=7.28x8=58.34

so 36=58.34

37.

3.14x26/2=3.14x13x13=530.66

please brainly

Answer:

The polynomial form of the expression is: 25·X² + 2·X + 2.

Step-by-step explanation:

The expression that can be formed using the provided data is:

[tex](3X)^{2}+(4X-3)+(-4X)^{2}-(2X-4)[/tex]

Simplify the expression to get a result in polynomial form as follows:

[tex](3X)^{2}+(4X-3)+(-4X)^{2}-(2X-4)[/tex]

[tex]=9X^{2}+4X-3+16X^{2}-2X+5\\\\=(9+16)X^{2}+(4-2)X+(5-3)\\\\=25X^{2}+2X+2[/tex]

Thus, the polynomial form of the expression is: 25·X² + 2·X + 2.

Answer:

13) Luis is wrong because he read the 80* as if his starting point was P. He needs to now take away 45 because that is the angle PTQ.

14) 165* I'm pretty sure because you just do 45 plus 60 since the centred one would only have a view of 45 from what I understand and the other two still have a view of 60 each. Total is 165.

Answer:

8. AC = 29

x = 6

AB = 6

9. BC = 15

3x = 15

x = 5

BD = 3x +4x-13

= 22

10. <PTR = 80

11. < PTQ = 45

12. <QTS = 130 - 45 = 85

13. Luis didn't subtract 80 by 40

14. 180

Answer:

try using desmos its a graphing calculator

Step-by-step explanation:

Answer:

x intercept = (3.6, 0)

y intercept = (0, -2)

Step-by-step explanation:

i did this on khan academy so it's easy

you're welcome

Answer:

the answer is -6

Step-by-step explanation:

if you have -5 and you take away another number, you end up with -6

Answer:

-6

Step-by-step explanation:

-5 - 1 ISNT -4

-5 + 1 IS -4

Answer:

C

Step-by-step explanation:

I would say C because,

Even + Even = Even.

Odd + Odd = Odd.

So simply, you can't have an even number if you add it to a odd.

Even + Odd = Odd

awnser.

c. aleays an odd number

Answer:

x ( > or = ) 5/9

Step-by-step explanation:

● 2(1 + x) ( > or = ) 11 - 3x

● 2 + 2x ( > or = ) 11 - 3x

Add 3x to both sides

● 2 + 2x + 3x ( > or = ) 11 - 3x + 3x

● 2 + 5x (> or = ) 11

Substract 2 from both sides

● 2 + 5x -2 ( > or = ) 11 -2

● 5x (> or =) 9

Divide both sides by 5

● 5x/5 ( > or = ) 5/9

● x ( > or = ) 5/9

Answer: m²-mn

Explanation: multiply the letter outside the brackets by everything inside the brackets, so, m×m = m² and m×n = mn, altogether it is m²-mn.

Assuming 129 is given in base 10, notice that

129 = 128 + 1 = 2⁷ + 1

More clearly, we have

129 = 1•2⁷ + 0•2⁶ + 0•2⁵ + 0•2⁴ + 0•2³ + 0•2² + 0•2¹ + 1•2⁰

so that

129 = 1000 0001₂

(I put a space between each block of 4 bits for ease of reading)

Answer:

9-5[x+4] = 16 , 3[2-x] = 3

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

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

Answer:

True

Step-by-step explanation:

Answer:

A. 5x = 45

Step-by-step explanation:

To check, substitute 9 for x in each equation.

A. 5*9 = 45

B. 2*9 ≠ 20

C. 4 + 9 ≠ 12

D. 9 +7 ≠ 26

Answer:

v = 200 m/s

Step-by-step explanation:

The formula for the speed of a tsunami in deep water is given by :

[tex]v=\sqrt{gh}[/tex]

Here,

g is acceleration due to gravity

h is the depth of the ocean in meters.

We need to find the speed at which the tsunami that started with an earthquake in Sumatra struck Sri Lanka about 1550 km away. The Bay of Bengal is 4 km (4000 m) deep.

It means we need to find v if h = 4000 m

So,

[tex]v=\sqrt{10\times 4000}\\\\v=200\ m/s[/tex]

So, the speed of the tsunami is 200 m/s.

Answer:

The mass of the $4.60/lb tea that should be used in the mixture is 10 lb

The mass of the $5.75/lb tea that should be used in the mixture is 8 lb

The mass of the $6.50/lb tea that should be used in the mixture is 2 lb

Step-by-step explanation:

The parameters of the question are;

The worth of the three teas are

Tea A = $4.60/lb

Tea B = $5.75/lb

Tea C = $6.50/lb

The mass of the mixture of the three teas = 20 lb

The worth of the mixture of the three teas = $5.25 per pound = $5.25/lb

The amount of the $4.60 in the mixture = The sum of the amount of the other two teas

Therefore, given that the mass of the mixture = 20 lb, we have in the mixture;

The mass of tea A + The mass of Tea B + The mass of Tea C = 20 lb

The mass of tea A = The mass of Tea B + The mass of Tea C

Therefore;

The mass of tea A + The mass of tea A = 20 lb

2 × The mass of tea A in the mixture = 20 lb

The mass of tea A in the mixture = 20 lb/2 = 10 lb

The mass of tea A in the mixture = 10 lb

The mass of Tea B + The mass of Tea C = The mass of tea A = 10 lb

The mass of Tea B + The mass of Tea C = 10 lb

The mass of Tea B  = 10 lb - The mass of Tea C

Where the mass of Tea C in the mixture = x, we have;

The mass of Tea B in the mixture = 10 lb - x

The cost of the 10 lb of tea A = 10 × $4.60 = $46.0

The worth of the tea mixture = 20 × $5.25 = $105

The worth of the remaining 10 lb of the mixture comprising of tea A and tea B is given as follows;

The worth of Tea B + The worth of Tea C in the mixture = $105.00 - $46.00 = $59.00

Therefore, we have;

x lb × $6.50/lb + (10 - x) lb × $5.75/lb = $59.00

x × $6.50 - x × $5.75 + $57.50 = $59.00

x × $0.75 = $59.00 -  $57.50 = $1.50

x =  $1.50/$0.75 = 2 lb

∴ The mass of Tea C in the mixture = 2 lb

The mass of Tea B in the mixture = 10 lb - x = 10 lb - 2 lb = 8 lb

The mass of Tea B in the mixture = 8 lb

Therefore, since we have;

Tea A = $4.60/lb

Tea B = $5.75/lb

Tea C = $6.50/lb

The mass of tea A in the mixture = 10 lb

The mass of tea B in the mixture = 8 lb

The mass of tea C in the mixture = 2 lb, we find;

The mass of the $4.60/lb tea that should be used in the mixture = 10 lb

The mass of the $5.75/lb tea that should be used in the mixture = 8 lb

The mass of the $6.50/lb tea that should be used in the mixture = 2 lb.

Answer:

C

Step-by-step explanation:

Given

- [tex]\frac{1}{4}[/tex] (12x + 8) ≤ - 2x + 11 ← distribute parenthesis on left side

- 3x - 2 ≤ - 2x + 11 ( add 3x to both sides )

- 2 ≤ x + 11 ( subtract 11 from both sides )

- 13 ≤ x , thus

x ≥ - 13

Since x can equal - 13 then a solid circle at - 13 represents the solution

Since x greater than - 13 then the arrow is facing to the right of - 13 on the number line.

Then the graph representing the solution is C

Answer:

Step-by-step explanation:

n + q = 20

.05n + .25q = 3.00

5n + 25q = 300

 n + q = 20

5n + 25q = 300

-5n - 5q = -100

20q = 200

q = 10 quarters

n + 10 = 20

n = 10 nickels

(10 nickels, 10 quarters)

Answer: 2(2a+b)^2

Step-by-step explanation:

4a+2b then squared which doubles it

Answer:

A

Step-by-step explanation: