Answer:
m∠x ≈ 32°
Step-by-step explanation:
We can see that we have to use tan∅ to solve this (opposite over adjacent)
tan(x) = 7/11
x = tan^-1 (7/11)
x = 32.4712
Answer:
3 students are eating lunches other than salads and sandwiches.
Step-by-step explanation:
To solve this you know that there are 18 students in the cafeteria and 1/6 of them are eating salads and 2/3 are eating sandwiches right? So you would have to think about what 1/6 of 18 is so you know how many students are eating salads, and 1/6 of 18 is 3 so there are 3 students eating salads. Now, you have to find out how many students are eating sandwiches, so you need to know what 2/3 of 18 is. 2/3 of 18 is 12 so now you also know that there are 12 students eating sandwiches. Next, you have to add 12 and 3 and you get 15. Since you know that there are 18 students in the cafeteria, you have to subtract 18 by 15, and you should get 3. So 3 students are eating lunches other than salads or sandwiches.
Hope this helps you! :D
Answer: The points of the images are (9,10), (15,6), (6,4) and the image is not a rigid motion because the shape changes in side.
Step-by-step explanation:
Since it gives you the scale factor then find they coordinates by multiplying the coordinates by the scare factor.
A(3,5) → (3*3,5*2) → (9,10)
B( 5,3) → (5*3, 3*2) → (15,6)
C ( 2,3)→ (2*3, 2*2)→ ( 6,4)
Answer:
15 answers
Step-by-step explanation:
To solve this question we need to set up an equation.
Let's name the number of incorrect answers x.
<u>We can set up an equation that's essentially:</u>
(Points for correct answer)*(number of correct answers)+(points for incorrect answer)*(number of incorrect answers)=final score
When we plug in our numbers and variables it looks like this:
5(3)+(-2x)=-15
Simplify
15-2x=-15
Subtract 15 from both sides
-2x=-30
Divide both sides by -2
x=15
This means Smitha attempted 15 wrong answers, and that there were 18 questions in total.
Answer:

Step-by-step explanation:
The volume is the space an object occupies. The volume formula for a cylinder is provided and it is:

Where:
The radius is the distance from the center of the circle to the edge, and it is 4 feet. The height is 8 feet. We are told to use 3 for pi.
Substitute the values into the formula.

Solve the exponent.
- (4 ft)²= 4 ft * 4 ft = 16 ft²

Multiply the three numbers together.


The volume of the cylinder is approximately <u>384 cubic feet.</u>