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Darina [25.2K]
3 years ago
5

What is the value of x to the nearest tenth? A. 6.0 B. 13.4 C. 26.8 D. 30.0

Mathematics
1 answer:
lilavasa [31]3 years ago
8 0
Use the Pythagorean theorem:

\left(\dfrac{1}{2}x\right)^2+12^2=18^2\\\\\dfrac{1}{4}x^2+144=324\ \ \ |-144\\\\\dfrac{1}{4}x^2=180\ \ \ \ |\cdot4\\\\x^2=720\to x=\sqrt{720}\\\\\boxed{x\approx26.8}
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Which ordered pair could not be the coordinates for a clockwise rotation of the point W (-3, 4)?
madam [21]

Answer:

(-4, -3)

(-4,3)

(4,3)

The clock wise rotation of the coordinate will be

(3,4)

(3,-4)

(-3,-4)

(-3,4)

8 0
2 years ago
Read 2 more answers
What is the resulting balance of $3,500 at 4% compounded annually for 8 years?
Brrunno [24]

Answer:

<h3>$4,789.99</h3>

Step-by-step explanation:

Using the formula for calculating the compound interest

A = P(1+r)^t

P is the principal = $3500

r is the rate = 4% = 0.04

T is the time = 8 years

Substitute

A = 3500(1+0.04)^8

A = 3500(1.04)^8

A = 3500(1.3686)

A = 4,789.99

Hence the resulting balance is $4,789.99

7 0
3 years ago
A grasshopper covered a distance of 5 yards in 9 equal hops. How many yards did the grasshopper travel on each hop?
andre [41]

Answer:

a)5/9 yards=0.556yards

b)10/9 yards=1.11 yards

Step-by-step explanation:

for the part a

To solve this exercise we must divide the total distance traveled by the grasshopper (5 yards) by the number of jumps that were made (9).

d=\frac{5}{9}

if you use the calculator you will realize that the value is 0.55yards

for the part b

knowing the distance traveled in a jump, we multiply this value by two to find out how much is the distance traveled in 2 jumps

d=\frac{2x5}{9} =\frac{10}{9}

if you use the calculator you will realize that the value is 1.11 yards

4 0
3 years ago
NEED HELP ASAP! WILL GIVE BRAINLIEST
Mrrafil [7]

Answer:

Step-by-step explanation:

Part A:

-mk-120 > 95

-mk > 215

Divide both sides by -k

Since we are dividing by a negative, the inequality sign flips

m < 215/-k

Part B: 

2c-9fb = 45

Subtract 2c from both sides

-9fb = 45-2c

Divide both sides by -9b

f = (45-2c) / -9b

Please let me know if this helps :)!

4 0
3 years ago
The table of values represents a function ​f(x).
NeX [460]

Answer:

The average rate of change over the interval [9,10] is greater than that over the interval [5,8] by 6490.

Step-by-step explanation:

The value of f(x) = 4052 for x = 9 and f(x) = 11014 for x = 10.

Therefore, the average rate of change of f(x) with respect to x over the interval [9,10] is given by  

= \frac{\textrm {Total change in value of f(x)}}{\textrm {Total change in value of x}}

= \frac{11014 - 4052}{10 - 9} = 6962

Now, the value of f(x) = 75 for x = 5 and f(x) = 1491 for x = 8.

Therefore, the average rate of change of f(x) with respect to x over the interval [5,8] is given by

= \frac{\textrm {Total change in value of f(x)}}{\textrm {Total change in value of x}}

= \frac{1491 - 75}{8 - 5} = 472

Therefore, the average rate of change over the interval [9,10] is greater than that over the interval [5,8] by (6962 - 472) = 6490. (Answer)

5 0
3 years ago
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