MATHEMATICS HIGH SCHOOL

The base length of a triangle is 8 feet and the height is 4 feet. What is the area of the triangle?4 square feet
8 square feet
16 square feet
32 square feet

Answers

Answer 1

Answer: 8x4=32
32 divided by 2 = 16
the answer is 16 square feet

hope this helps :)

Answer 2

Answer:

Answer:

16 square feet

Step-by-step explanation:

I got it right on my FLVS test :D

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Find the solution of cos^2xsinx-3sinx=0

Answers

$\cos^2 x\sin x-3\sin x=0\n\n \sin x\cdot (\cos^2 x-3)=0\n\n \begin{array}{rcl} \sin x=0&~\text{ or }~&\cos^2 x - 3=0\n\n \sin x=0&~\text{ or }~&\cos^2 x=3\n\n \sin x=0&~\text{ or }~&\cos x=\pm √(3) \end{array}$

Since $|\cos x|\le 1,$ the 2nd equation has no solutions for x. So

$\sin x=0\n\n x=k\pi~~~~\text{where }k\text{ is an integer.}$

Solution: $S=\{x:~x=k\pi,~k\in\mathbb{Z}\}$

Find all zeros (both real and complex) for the function f(x)=x^3-5x^2+4x+10

Answers

$f(x)=x^3-5x^2+4x+10\n f(x)=x^3+x^2-6x^2-6x+10x+10\n f(x)=x^2(x+1)-6x(x+1)+10(x+1)\n f(x)=(x+1)(x^2-6x+10)\n\n x+1=0\n x=-1\n\n x^2-6x+10=0\n x^2-6x+9+1=0\n (x-3)^2=-1\n x-3=i \vee x-3=-i\n x=3+i \vee x=3-i\n\n x=\{-1,3-i,3+i\}$

Find the distance between (2, -75) and (10, 235).

Answers

Answer:

Use the distance formula to determine the distance between two points.

Exact Form:

2√24041

Decimal Form:

310.10320862

Answer:

Step-by-step explanation:

If 150g of sugar is used for 5 cakes
How much is used for 7 cakes?:)

Answers

Well, if 150 grams is used for 5 cakes, we can divide that.
150/5=30. 30 grams of sugar are used for each cake
You want to know how many grams for 7 cakes
30x7=210 grams of sugar are used for seven cakes.
Hope this helps!

150 g - 5 cakes
x g - 7 cakes

$x=(7\cdot150)/(5)\nx=210$

On Saturday, 90 people visited a museum, Tickets to the museum cost$12 for each adult and $7 for each child. The museum collected $950 in
ticket sales that day. How many adults visited the museum?
A. 26
B. 33
C. 57
D. 64