MATHEMATICS HIGH SCHOOL

All of the angles within a triangle must add to equal?

Answers

Answer 1

Answer:

Answer:

180°

Step-by-step explanation:

the sum (addition ) of the three angles in a triangle = 180°

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Convert y=x squared +64x + 12 into graphing form

Answers

$To \ convert \ the \ standard \ form \ y = ax^2 + bx + c \ of \ a \ function \ into \ vertex \ form \n \n y = a(x - h)^2 + k ,\n \n we \ have \ to \ write \ the \ equation \ in \ the \ complete \ square \ form \ and \ vertex(h, k) \ is \ given \ by:$

$h = (-b)/(2a) , \ \ k = c -(b^2)/(4a) \n \ny = a(x - h)^2+k$

opens up for a > 0, and down for a < 0

$y=x^2 +64x + 12\n \na=1,\ b=64 \ c = 12 \n \nh = (-64)/(2)=-32 \n \n k = 12 -(64^2)/(4 )=12-(4096)/(4)=12-1024= -1012\n \ny = (x+32)^2-1012 \n \n This \ means \ the \ vertex \ of \ the \ parabola \ is \ at \ the \ point \ (-32, -1012)\n \n and \ the \ parabola \ is \ concave \ up.$

There are 10 playing cards in a bag. 7 of those cards are spades.What is the probability of picking a spade randomly from the bag?

Answers

Answer:

P(spades) = 7/10

Step-by-step explanation:

there are 10 different cards that can be picked, out of which what we want to pick is spades which are 7. and so there are 7 chances that we will get to pick spades out of all the 10 possibilities. hope it is easy to understand

Subtract the fractions and simplify the answer 9- 5 1/3

Answers

9 − 5 1/3

=9−1 6/3

=11/3

=3 2/3

3 2/3
All you have to do is add my answer to 5 1/3 and if it is 9, then it is correct

What are the domain, range, and asymptote h(x) = (0.5)x -9

Answers

1. You have the following function given in the problem:

h(x) = (0.5)x -9

2. As you can see, the function has the form f(x)=mx+b, therefore, the function h(x) = (0.5)x -9 is known as "linear function".

3. When you graph it, you obtain a line.

-The domain of the function is:

R( All the real numbers)

-The range of the function is:

R (All the real numbers)

- h(x) = (0.5)x -9 is asymptotic to h(x) = (0.5)x -9

A carpenter purchased 50 ft of redwood and 90 ft of pine for a total cost of $274. A second purchase at the same prices include 80 ft of redwood and 50 ft of pine for a total cost of 335. Find the cost per foot of redwood and of pine

Answers

Answer:

Redwood: $3.50 per foot

Pine: $1.10 per foot

Step-by-step explanation:

The manner that should be approach is by using the substitution method.

Therefore using the information from the question:

50 ft of redwood and 90 ft of pine give a total cost of $274

So we use this information and make a equation using x and y, in this case redwood would be x and pine would be y.

$50x + 90y=274$

We do this for the second purchase also...

$80x+50y=335$

Now, we have two equations that are perfect for the usage of the substitution method.

$50x + 90y=274$

$80x+50y=335$

Using one equation, in this case the top one, we must solve for either x or y (in this case we solved for y)

$90y=274-50x$

$(90y)/(90) =(274)/(90) -(50x)/(90)$

$y=(274)/(90) -(50x)/(90)$

Using this equation from above we insert this into the other equation that deals with the second purchase and solve for x now.

$80x+50((274)/(90) -(50x)/(90))=335$

$80x+152.2-27.8x=335$

$80x-27.8x=182.8$

$(52.2x)/(52.2) =(182.8)/(52.2)$

$x=3.50$

This is the cost of redwood so now we use this answer and plug it in either equation in order to get the cost of pine (y).

$50(3.5)+90y=274$

$175+90y=274$

$(90y)/(90)=(99)/(90)$

$y=1.1$

So therefore you get the two costs by using the substitution method!

~~~~Best!!!

The spoke of a wheel reaches from the center of the wheel to its rim. If the circumference of the rim of the wheel is 27 inches, how long is each spoke? Round your answer to the nearest hundredth.A. 2.07
B. 8.59 NOT THE ANSWER
C. 2.93
D. 4.30

Answers

Hello,
Answer D: 4.30 in

The circomference is 27 in=2*π*R
==>R=27/(2π)=4.291834... ≈4.30 (in)

Answer:

Step-by-step explanation:

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