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eimsori [14]
3 years ago
13

Expand 4(-2y+ 3). 2y+7 0:-8 y + 12 2 y + 12 -8 y+ 3

Mathematics
1 answer:
stepan [7]3 years ago
8 0
It is -8y+12
You have to multiply 4 by -2 which equals -8
Then you do 4x3 which equals 12
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Find the volume of the rectangular prism. Express your answer as a simplified mixed number.
Vedmedyk [2.9K]

Answer:

414 9/16 m³

414\frac{9}{16}m^{3}

Step-by-step explanation:

The volume of a Rectangular prism is calculated as Length × Width × Height

From the attached diagram,we can see that

The length = 8 3/8 m

The width = 6 m

The height =8 1/4 m

Converting the mixed fraction to improper fraction in other to simplify it better

The length = 67/8 m

The height = 33/4 m

The volume of the rectangular prism =

67/8 m × 6m × 33/4m

= (13266/32)m³

= 6633/16 m³

= 414 9/16 m³

= 414\frac{9}{16}m^{3}

3 0
3 years ago
In △ABC, m∠A=39°, a=11, and b=13. Find c to the nearest tenth.
Talja [164]

For this problem, we are going to use the <em>law of sines</em>, which states:

\dfrac{\sin{A}}{a} = \dfrac{\sin{B}}{b} = \dfrac{\sin{C}}{c}


In this case, we have an angle and two sides, and we are trying to look for the third side. First, we have to find the angle which corresponds with the second side, B. Then, we can find the third side. Using the law of sines, we can find:

\dfrac{\sin{39^{\circ}}}{11} = \dfrac{\sin{B}}{13}


We can use this to solve for B:

13 \cdot \dfrac{\sin{39^{\circ}}}{11} = \sin{B}

B = \sin^{-1}{\Big(13 \cdot \dfrac{\sin{39^{\circ}}}{11}\Big)} \approx 48.1


Now, we can find C:

C = 180^{\circ} - 48.1^{\circ} - 39^{\circ} = 92.9^{\circ}


Using this, we can find c:

\dfrac{\sin{39^{\circ}}}{11} = \dfrac{\sin{92.9^{\circ}}}{c}

c = \dfrac{11\sin{92.9^{\circ}}}{\sin{39^{\circ}}} \approx \boxed{17.5}


c is approximately 17.5.

8 0
3 years ago
He sum of two numbers is 43 and the difference is 5. What are the numbers ?
lord [1]

Answer:

24,19

Step-by-step explanation:

24+19=43

24-19=5

4 0
3 years ago
Glenn ate 2 apples a day for a week. In addition to the apples, he ate 3 pears during the week. write the expression that shows
Mama L [17]

Answer:

17 pieces of fruit in total

Step-by-step explanation:

2x7=14+3=17

7 0
3 years ago
the circumference of a circle is 11.4mm. find the length of the diameter. give your answer rounded to 3SF.
kvasek [131]

Answer:

3.627 = d

Step-by-step explanation:

C = 11.4mm

d = ?

C = πd

11.4 = 22/7 × d

cross multiply

11.4 ×7 = 22d

79.8 = 22d

Divide both sides of the equation b 22

79.8/22 = 22d/22

3.627 = d

4 0
3 years ago
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