MATHEMATICS HIGH SCHOOL

What is the value of the expression below? 3(42) + 3(8)

Answers

Answer 1
Answer:

Answer:

150

Step-by-step explanation:

3 * 42 = 126

3 * 8  = 24

126 + 24 = 150

Related Questions

Write a equation of the line that passes through (-2,-3) and has a slope of 5
Factor x2 − 8x + 9.Answer options: A. (x-9)(x-1) B. (x+9)(x+1) C. Prime D. (x+9)(x-1)
Which of the following did Columbus NOT bring back with him from his voyages to the "New World"?A Native people B New foods C Gold D New technology for navigation
Three apples and 2 oranges cost $1.25, while 2 apples and an orange were 75 cents. At the rate, find the cost of 6 apples and an orange. ( please show steps thanks!)
What number should both sides of the following equation be divided by to solve for x?(6.4) x = 32 A.4 B.6.4 C.6 D.5

Every 3 hours, a machine produces 150 baskets. What is the unit rate of this proportional relationship in basket per hour?50 baskets
1 hour
150 hours
3 baskets
50 hours
1 basket
150 baskets
3 hours
2.
3
4

Answers

Answer:

50 baskets per hour? but yo already said that

Step-by-step explanation:

What is the value of A for the exponential function in the graph represented in the form of f(x) = a(bx)?

Answers

Answer:

a = 3

Step-by-step explanation:

f(x) = a(bˣ)

At x = 0

f(0) = a(b⁰)

f(0) = a(1)

f(0) = a

From the graph

f(0) = 3

Therefor

a = 3

Use the Elimination method to solve the system of equations.

X+y=-3
X-y=13

Answers

x + y = -3
x -  y = 13
    2x = 10
     2      2
      x = 5
  x + y = -3
  5 + y = -3
- 5         - 5
        y = -8
  (x, y) = (5, -8)
For x
x+y=-3
x-y=13
---------
2x=10
x=5
For y
5+y=-3
y=-3-5
y=-8

Which set of numbers can represent the side lengths, in centimeters, of a right triangle?A. 8,12,15
B. 10,24,26
C. 12,20,25
D. 15,18,20

Answers

For right angle triangles, we can apply pythagora's theorem, which states that the square of the longest side, the hypotenuse, is equivalent to the sum of the squares of the other two sides; mathematically this is: c^2 = a^2 + b^2. We check to see which one of the options satisfy this equation, taking the longes side to be c. In the case of B, 26^2 = 676 and 10^2 + 24^2 = 676, so B is the answer.

The correct option is \boxed{{\mathbf{option B}}} .

Further explanation:  

Pythagoras theorem is used in a right angle triangle to find one of the side of the triangle.

The longest side in the right angle triangle is the hypotenuse.

Pythagoras theorem can be expressed as,

 {H^2}={P^2}+{B^2}

Here, H  is the hypotenuse,  B is the base and P  is the perpendicular.

Step by step explanation:

Step 1:

Option A: 8,12,15  

The longest side is 15.

Therefore, consider 15 as hypotenuse and the remaining sides are perpendicular and base.

Now apply the Pythagoras theorem and substitute the value of perpendicular and base.

\begin{gathered}{H^2}={P^2}+{B^2}\hfill\n{H^2}={12^2}+{8^2}\hfill\n{H^2}=144+64\hfill\nH=√(208)\hfill\n\end{gathered}

It can be seen that the length of the hypotenuse is √(208)  but we have given 15.

Therefore, the given length of sides is not of right angle triangle as it does not satisfy the Pythagoras theorem.

Thus, option A is not correct.

Step 2:

Option B: 10,24,26  

The longest side is 26.

Therefore, consider 26 as hypotenuse and the remaining sides are perpendicular and base.

Now apply the Pythagoras theorem and substitute the value of perpendicular and base.

\begin{gathered}{H^2}={10^2}+{24^2}\hfill\n{H^2}=100+576\hfill\nH=√(676)\hfill\nH=26\hfill\n\end{gathered}

It can be seen that the length of the hypotenuse is 26  and we also have given 26.

Therefore, the given length of sides is of right angle triangle as it satisfies the Pythagoras theorem.

Thus, option B is correct.

Step 3:

Option C:  12,20,25

The longest side is 25.

Therefore, consider 25 as hypotenuse and the remaining sides are perpendicular and base.

Now apply the Pythagoras theorem and substitute the value of perpendicular and base.

\begin{gathered}{H^2}={P^2}+{B^2}\hfill\n{H^2}={12^2}+{20^2}\hfill\n{H^2}=144+400\hfill\nH=√(544)\hfill\n\end{gathered}

It can be seen that the length of the hypotenuse is √(544)  but we have given 25.

Therefore, the given length of sides is not of right angle triangle as it does not satisfy the Pythagoras theorem.

Thus, option C is not correct.

Step 4:

Option D:  15,18,20

The longest side is 20.

Therefore, consider 20 as hypotenuse and the remaining sides are perpendicular and base.

Now apply the Pythagoras theorem and substitute the value of perpendicular and base.

\begin{gathered}{H^2}={P^2}+{B^2}\hfill\n{H^2}={15^2}+{18^2}\hfill\n{H^2}=225+324\hfill\nH=√(549)\hfill\n\end{gathered}

It can be seen that the length of the hypotenuse is √(549)  but we have given 20.

Therefore, the given length of sides is not of right angle triangle as it does not satisfy the Pythagoras theorem.

Thus, option D is not correct.

Learn more:  

  • Learn more about in a right triangle, angle c measures 40°. the hypotenuse of the triangle is 10 inches long. what is the approximate length of the side adjacent to angle c? brainly.com/question/4419078

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Triangles

Keywords: side, lengths, distance, Pythagoras theorem, triangle, hypotenuse, base, perpendicular, right angle triangle, longest side, equation, satisfy, centimeters.

What is 1/4 of 10 explain

Answers

Too many points for such a simple explanation :)) Whatever:
To get 1/4 of a number you multiply the number by 1/4. Same for any non-percent number. If the number is a percent, say, 23,5%, you first divide it by 100 to get a non-percent, then do the same, that is, multiply it by the number.
Our result is \frac{1}4*10=\frac{10}4=\frac{5}2=2\frac{1}2=2.5

In a port, the median weight of a container is 4,700 lbs, with a standard deviation of 500 pounds. 14% of the containers weigh more than 5,900 pounds.Why can't this data be represented by a normal distribution?

Because the containers are too heavy.
Because the standard deviation is too small.
Because the standard deviation is too big.
Because we don't know the number of containers.

Answers

A normal distribution works best for a very large sample size. Without knowing the number of containers, it's difficult to say whether or not it's an appropriate model for representing the distribution of container weights.

Answer:

Because the standard deviation is too small.

Step-by-step explanation:

i took this test and got it right
Other Questions
22·23 is equal to?? I've been on this question for like 30 minutes lol
From where Kiana is standing she must look up at a 50° angle to see the top of a building she backs up 50 feet she will need to look up a 40° angle to see the top of the same building approximately how tall is the building
Simplify each expression numbers 2-5
_______ health insurance coverage pays for at least part of hospital costs and fees.