MATHEMATICS HIGH SCHOOL

Find the surface area.
24 yd
15 yd
15 yd
+13 yd
15 yd

Answers

Answer 1
Answer:

The surface area of the figure in square yards is 1275 square yards

Surface area of a prism

The surface area of a figure is the tota sum of all the area of the faces.

For the given diagram, it consist of 2 triangles and 3 rectangles

Area of the figure = 3(24 * 15) + (13* 15)

Surfacea area = 3(360) + 195
Surface area = 1080 + 195

Surface area = 1275 square yards

Hence the surface area of the figure in square yards is 1275 square yards

Learn more on surface area of prism here: brainly.com/question/1297098
Answer 2
Answer: For what value of x does 32x - 93x-4 ?

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Students plan to pay back half the debt now though fundraising, and the rest after the harvest. Write an equation to represent the debt they will repay through fundraising. Use a negative integer to show debt. Use "D" to represent the debt that will be repaid by through fundraising

Answers

Answer:

D = (-d)/(-2)

Step-by-step explanation:

The amount of money that the students will pay back with the fundraiser (D) would be half of the current debt (d) since debt is represented as a negative but the fundraiser needs to be a positive since it is money gained we would divide by -2

D = (-d)/(-2)

This equation shows the debt that will be repaid through the fundraiser which would be exactly half of the current debt.

PLEASE HELP ME!!!! I'LL MARK YOU BRAINLIEST IF YOU ANSWER THIS CORRECTLY!!!!

Answers

Answer:

x = 86

Step-by-step explanation:

note: a straight line is regarded to have an angle of 180 degrees.

in this case CUW is a straight line

I shall show you two methods . which ever one you choose will still get the same answer. however understanding both will help you use them for other questions

method 1

therefore in order to solve the value of x we need to get the missing angle in the triangle first which is angle WUV

Angle WUV

notes : a triangle has a total angle of 180 degrees

hence we can create an equation to get the angle WUV

lets make the missing angle as Y , this will help to find the answer.

46 + Y + 40 = 180

now make Y the subject of formula

Y = 180 - 40 - 46

Y = 94

now in order to find x .

since the CUW is a straight line with 180 degrees

hence x = 180 - 94 = 86

x = 86

method 2

since the triangles total angle is 180 degrees and also the straight line is also 180 degrees. we can just add the total of the 2 sides of the triangle ( the two interior angles can be added together to get the value of the exterior one)

40 + 46 = 86

x = 86
The answer is 86
Two interior angles is equal to one exterior angle

Which decimal number is equal to 2/3 ? a. 0.6

b. 0.66

c. 0.6¯0.6¯

d. 0.67

Answers

0.666666667 That's the answer I got.
The correct answer is A) 0.6. Hope this helps.

I need to know how to set this problem up. On monday a security guard spent 4.5hours on patrol and 2hours on surveillance.On tuesday the officer spent 1 hour and 40 minutes on surveillance and 3 hours on patrol. Which day has a greater ratio of time on surveillance to time on patrol. some one said 7hours ans 30min on patrol and 40min on surveillance???

Answers

OK.......

So, 
ON MONDAY:
Time spent on patrol = 4.5 hrs
Time spent on surveillance = 2 hrs

ON TUESDAY:
Time spent on patrol = 3 hrs
Time spent on surveillance = 1 hr 40 min

Now,
The question is asking us the ratio of surveillance to patrol so, the value of surveillance needs to be on the top.

So,
Let's first change all the units to common units.....i.e. either hrs. to minutes or minutes to hrs.

In this case  .....i think it will be easier to convert minutes to hrs.. because if we do that ...we only have to do one conversion.

So,
1 hr. 40 minuter = 1hr + (40 /60) hrs
                        = 1 + 0.67 
                        = 1.67 hrs

So,
ON TUESDAY:
Time spent on surveillance  = 1.67 hrs

Now,
Let us find the ratio of surveillance to patrol on both days:

ON MONDAY:
Ratio of surveillance to patrol = (2)/(4.5)=.44444444444

ON TUESDAY:
Ratio of surveillance to patrol = (1.67)/(3)=.556666667

Now,
If we look at the ratio, the ratio of TUESDAY sure is greater than ratio on MONDAY

So, Tuesday has a greater ratio of time on surveillance to time on patrol

What would the x point be if the y is 0 in equation y=-x+4

Answers

Answer:

4

Step-by-step explanation:

y = -x + 4

if y = 0, then

0 = -x + 4

x = 4

You drive from your home to a vacation resort 420 miles away. You return on the same highway. The average velocity on the return trip is 15 miles per hour slower than the average velocity on the outgoing trip. Express the total time required to complete the round​ trip, T, as a function of the average velocity on the outgoing​ trip, x.

Answers

Time required to complete the round​ trip T=(420)/(x)+(420)/((x-15)) where x is average velocity on the outgoing​ trip.

Step-by-step explanation:

Let average velocity of outgoing trip = x mph

The average velocity on the return trip is 15 miles per hour slower than the average velocity on the outgoing trip.

Average velocity of return trip = (x-15) mph

Distance to vacation place = 420 miles

Distance to vacation place = Time for outgoing trip x average velocity of outgoing trip

          420=t_1* x\n\nt_1=(420)/(x)

Distance to vacation place = Time for return trip x average velocity of return trip

          420=t_2* (x-15)\n\nt_2=(420)/((x-15))  

We have total time T = t₁ + t₂

That is

                     T=(420)/(x)+(420)/((x-15))

Time required to complete the round​ trip T=(420)/(x)+(420)/((x-15)) where x is average velocity on the outgoing​ trip.
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