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QveST [7]
3 years ago
12

Write an inequality for x that would give this isosceles triangle and perimeter of at least 137 ft. 4x+3 2x+7

Mathematics
1 answer:
neonofarm [45]3 years ago
5 0

Answer:

The inequality is 8x+17\geq 137

Step-by-step explanation:

Given : The isosceles triangle with base and side 4x+3, 2x+7.

And the perimeter is at least 137ft.

To write : An inequality for x

Solution : Let the base b=4x+3 and sides s=2x+7

The perimeter of Isosceles triangle is P=2s+b

where s=side and b=base

Now, we have given that perimeter is at least 137 ft.

Therefore, the inequality form is

2(2x+7)+(4x+3)\geq 137

4x+14+4x+3\geq 137

8x+17\geq 137

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15. Using the circle below, find each arc length. Round to the nearest hundredth. R a) ST b) RPT 97 125 PS = 28 feet
Troyanec [42]

The measure of arcPR and arcRPT are 83 and 208 degrees respectively

The measure of arc ST will be gotten using the expression below:

arcPS = arcPT + arcST

Given the following

  • arcPT = 125 degrees
  • arc PS = 180 degrees

arcST = arcPS - arcPT

arcST = 180  - 125

arcST = 55 degrees

Similarly, arcPR = 180 - arcRS

arcPR = 180 - 97

arcPR = 83 degrees

arcRPT = arcPR + arcPT

arcRPT = 83 + 125

arcRPT = 208 degrees

Hence the measure of arcPR and arcRPT are 83 and 208 degrees respectively

Learn more about circles here: brainly.com/question/24375372

7 0
2 years ago
Find the future value of 575 at 5.5% compounded quarterly for 5 years. Round to the nearest cent
Readme [11.4K]

Answer:

Future value = $755.61 ( to the nearest cent)

Step-by-step explanation:

The formula for calculating the future value of an invested amount compounded periodically for a number of years is given as:

FV = PV (1+\frac{r}{n} )^{n*t}

where:

FV = future value = ???

PV = present value = $575

r = interest rate in decimal = 5.5% = 0.055

n = number of compounding periods per year = quarterly = 4

t = time of investment = 5 years

∴ FV = 575 (1+\frac{0.055}{4} )^{4*5}

FV = 575 (1+0.01375)^{20}\\FV = 575 (1.01375 )^{20}\\FV = 575 * 1.3141\\FV = 755.607

∴ Future value = $755.61 ( to the nearest cent)

4 0
2 years ago
In the cafeteria 100 milk cartons were put out and 27 remained..what is the ratio of milk cartons taken to total milk cartons?
True [87]
If they started with 100 and 27 remained, then (100 - 27) = 73 were taken.

ratio of milk cartons taken to total milk cartons = 73/100 or 73:100 or 73 to 100
8 0
3 years ago
Which equation is equivalent to -6 - x) = 24?
Lubov Fominskaja [6]
.........The answer is C
6 0
3 years ago
Read 2 more answers
Functions A and B give the population of City A and B respectively, t years since 1990. In each function, population is measured
Nataly_w [17]

Answer:

B(4) > A(4)

t = 6

Step-by-step explanation:

Given

City\ A \to Purple

City\ B \to Blue

See attachment for both functions

Solving (a): Which is greater in A(4) and B(4).

From the readings of the graph

A(4)= 1.8

B(4) = 2.6

By comparison:

B(4) > A(4) because 2.6 > 1.8

Solving (b): When is A(t) = B(t)

From the readings of the graph

A(t) = B(t) when t = 6

i.e.

A(t) = B(t) = 3\ million

4 0
3 years ago
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