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2 years ago

Determine the approximate value of θ. A. 38.9 B. 51.1 C. 37.9 D. 52.1

Mathematics

1 answer:

Pepsi [2]2 years ago

8 0

Answer:

Option B. $51.1^o$

Step-by-step explanation:

we know that

In the right triangle of the figure

The sine of angle theta is equal to divide the opposite side to angle theta by the hypotenuse

$sin(\theta)=\frac{DF}{DE}$

substitute the given values

$sin(\theta)=\frac{7}{9}$

using a calculator

$\theta=sin^{-1}(\frac{7}{9})=51.1^o$

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Graph the image of rhombus EFGH after a reflection across the line x = 3

igomit [66]

Answer: see image

Step-by-step explanation:

Draw line x = 3. Count how many units each point is away from line x = 3. Plot the new point the same number of units away from line x = 3 but in the opposite direction.

Point G is 4 units to the left of x = 3. The new point G' is 4 units to the right of x = 3.

Point F is 7 units to the left of x = 3. The new point G' is 7 units to the right of x = 3.

Point E is 7 units to the left of x = 3. The new point G' is 7 units to the right of x = 3.

Point H is 4 units to the left of x = 3. The new point G' is 4 units to the right of x = 3.

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2 years ago

Evaluate 5a3 + 3b4 when a 4 and b= - 5

valkas [14]

5a^3 + 3b^4

insert the numbers into the equation.

5(4)^3 + 3(-5)^4

evaluate

5(64) + 3(625)

evaluate

320 + 1875

the solution is:

2195

5 0

2 years ago

If the relationship between the number of tickets sold and the number of hours proportional ? If so, how many tickets were sold

harkovskaia [24]

Answer:

t = 640

Step-by-step explanation:

tickets are directly proportional to number of hours.

t =kh

we find K.

240 = 3k

we divide by 3 in both sides.

k = 80

we substitute K to find how many tickets.

t =80 × 8

t = 640

it doesn't matter if you chose any two, e.g., you would get the same answer even if you used 5 and 400, or 9 and 720

6 0

2 years ago

Read 2 more answers

What is the base of the expression 1113? 3 11 12 21

Yakvenalex [24]

Answer:

Step-by-step explanation:

I just guessed 7 and believe me its right

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2 years ago

Hannah mixed 6.83 lb of pretzels with 3.57 lb of popcorn. After filling up 6 bags that were the same size with the mixture, she

liubo4ka [24]

Answer:

1.675 lb

Step-by-step explanation:

Given that Hannah mixed 6.83 lb of pretzels with 3.57 lb of popcorn.

So, after mixing, the total amount of mixture is

6.83 lb + 3.57 lb = 10.40 lb.

After filling up 6 bags that were the same size with the mixture, she had 0.35 lb left, so 0.35 lb of the mixture is not in the bag.

So,he total amount of mixture in 6 bags = 10.40 lb - 0.35 lb=10.05 lb, which is the weight of 6 bags.

The weight of one bag =\frac {10.05}{6} lb

=1.675 lb

As all the bags are of the same size, so the weight of all the bags are same,

Hence, the weight of each bag is 1.675 lb.

8 0

2 years ago