Logan is a land surveyor. He wants to determine d, the distance across a lake that cannot be directly measured. He draws this diagram to help him.

A right triangle with side length 7 kilometers, d, and hypotenuse of 9 kilometers.

What is the approximate distance across the lake, to the nearest tenth of a kilometer?
5.7 km
6.3 km
11.4 km
16.0 km

Answers

Answer 1

Answer:

The first option     (5.7km)

Step-by-step explanation:

Since we have a right angle triangle and we know two of its sides we can easily find out the thirds side (the value of d) by using the Pathagoras Theorem. In our case 7 and d are our legs and the hypotenuse is equal to 9, so...

(Based on the Pathagoras Theorem)

[tex]c^{2} = a^{2} + b^{2}[/tex]

[tex]9^{2} = 7^{2} + d^{2}[/tex]

[tex]d^{2} = 9^{2} - 7^{2} \\d^{2} = 81 - 49\\d^{2} = 32\\d = \sqrt{32}\\[/tex]

d ≈ 5.7km

There for aproximate distance across the lake is equal to 5.7km

Answer 2

Answer:

A

Step-by-step explanation:


Related Questions

For what value does (1/9)^a+1=81^a+1 12^2-a?

Answers

Answer:

a = -4

Step-by-step explanation:

[tex] (\dfrac{1}{9})^{a + 1} = 81^{a + 1} \cdot 27^{2 - a} [/tex]

[tex] (3^{-2})^{a + 1} = (3^4)^{a + 1} \cdot (3^3)^{2 - a} [/tex]

[tex] 3^{-2a - 2} = 3^{4a + 4} \cdot 3^{6 - 3a} [/tex]

[tex] 3^{-2a - 2} = 3^{4a + 4 + 6 - 3a} [/tex]

[tex] 3^{-2a - 2} = 3^{a + 10} [/tex]

[tex] -2a - 2 = a + 10 [/tex]

[tex] -3a = 12 [/tex]

[tex] a = -4 [/tex]

You work as a telemarketer and need to report to your boss the percentage of your weekly calls that result in sales
If 23 of your 177 calls last week resulted in sales, approximately what percentage should you report to your boss?
07%
O 8%
13%
15%
0 23%

Answers

Take 177:23=7.6 approximately 7%

What is the property of 4x+6=18

Answers

Answer: 4x-6= 18

4x=24

x= 24 & 4

x=6

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

I'm not exactly sure of what you mean by property but I think it might be associative property of multiplication?  

But to solve for x you would subtract 6 from 18 which gives your 12. Then you divide by 4 to get the x alone and 12/4 is 3.

please help me ASAP thank you!!

Answers

The answer is 2 sqrt of 3 :) hope this helps

Suppose the value of Young's modulus (GPa) was determined for cast plates consisting of certain intermetallic substrates, resulting in the following sample observations.

116.8 115.7 114.9 115.4 115.9

Required:
a. Calculate the deviations from the mean.
b. Use the deviations calculated in part (a) to obtain the sample variance (in GPa2).

Answers

Answer:

a) The deviations from the mean

|x-x⁻|  :   1.06       |-0.04 |       |-0.84 |     |-0.34 |     | 0.16  |  

b)

The variance of the sample      S² = 0.493

The standard deviation of the sample  S =√0.493 = 0.7021

Step-by-step explanation:

Step(i):-

Given that the sample observations

   x   :    116.8       115.7     114.9     115.4     115.9

Mean of the sample

                       = ∑ x/n

 Mean of sample x⁻  = [tex]\frac{116.8+115.7+114.9+115.4+115.9}{5}[/tex]

 Mean of sample x⁻ = 115.74        

Step(ii):-    

The deviations from the mean

|x-x⁻|  :  116.8-115.74       115.7-115.74   114.9-115.74  115.4-115.74   115.9-115.74

|x-x⁻|  :   1.06                 |-0.04 |               |-0.84 |         |-0.34 |             | 0.16  |  

|x-x⁻||²:    1.1236             0.0016             0.7056          0.1156             0.0256

The variance of the given sample observations

          S²  = ∑ (x-x⁻)² / n-1

         [tex]S^{2} = \frac{1.1236+0.0016+0.7056+0.1156+0.0256}{5-1} = 0.493[/tex]

The variance of the sample      S² = 0.493

The standard deviation of the sample  S =√0.493 = 0.7021

What is the volume of this cuboid? Remember to include the correct unit of measurement

Answers

Answer:

100 cubic cm

Step-by-step explanation:

5 x 2 = 10

10 x 10 = 100

Answer:

hope it helped have a good day mate

HURRYYY PLEASE AND THANK YOUUMrs. Green wants to make some toys for a store. She starts
working at 8 AM and stops at 12 PM everyday. The store needs
120 toys and requires Mrs. Green to make them in three days.
What must be her average rate of toys made per hour?
toys/hour
I
I
Enter the answer

Answers

Answer:

10 per hour

Step-by-step explanation:

Answer: 75

Step-by-step explanation:

Tell me if it’s wrong or not

Which of the following is equal to sin 8
A)sin 82
B)cos 8
C)cos82
D)sin98

Answers

Answer:

A

Step-by-step explanation:

sin 82 I think but i just try

The population of a city decreases by 4.6% per year. If this year's population is
329,000, what will next year's population be, to the nearest individual?

Answers

Answer:

Your answer

313866

Mark it as Brainlist answer. Follow me to get more answer

Step-by-step explanation:

when doing the increasing function do we use the exact point?

Answers

Answer:

Step-by-step explanation:

According to www.cliffsnotes.com it says: The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.

Hope this helps!!

What is the distance, in units, between A(-4,-4)and (0,-2)

Answers

Answer:

2√5 ≅ 4.47

Step-by-step explanation:

PLEASE PLEASE PLEASE PLEASE HELP!

Answers

Answer:

x=40°

Step-by-step explanation:

x=180-75-65=40°

1. Find the total surface area of the net below


Answers

Answer:

dfdg

Step-by-step explanation:

fd

1. A house cost $112,000 in 2010. By the year 2015, the house had a value of $132,000. What was the growth rate as a percent for that 5-year period?


Pls help


A. 6.48%


B. 3.34%


C. 5.23%


D. 2.15%

Answers

Answer:

The growth rate for the period was of 17.86%.

Step-by-step explanation:

To find the growth rate as a percent, we multiply the change by 100, and divide by the initial value.

A house cost $112,000 in 2010. By the year 2015, the house had a value of $132,000.

Change: 132 - 112 = 20

Initial value: 112

Growth rate as a percent:

20*100/112 = 17.86%

The growth rate for the period was of 17.86%.

Answer:b

Step-by-step explanation:

Which expression is equivalent to
14x-21
7
A. 2x - 21
B. 2x-3
c. 7x - 28
D. 7x - 14

Answers

Answer:

B. 2x-3

Step-by-step explanation:

14 and 21 have a common factor which is 7 so divide both by 7 to get 2x-3.

Answer:b

Step-by-step explanation: took the test

Evaluate
ifr=9 and s = 2.
S

Answers

Answer:

(4 × 9) / 2 = 36/2 = 18 gitu yaaa

Answer:

18

Step-by-step explanation:

plug in r and s

4(9)/2

36/2

18

I wrote my last question wrong. What's 4w^2 if the w = 3?

Answers

Answer:

144

Step-by-step explanation:

1. Rewrite question since you know the variable. Rewritten it would be 4×3^2

2. Do multiplication. 4 times 3 is 12

3. Square 12 which means 12 times 12

4. 12 times 12 is 144.

Hopefully it's right!

the total cost of a pizza and 3 drinks is $19 the price of the pizza is $10 and each drink is the same price D what is the price of one drink please I need help ​

Answers

Answer:

3

Step-by-step explanation:

9 divide by 3 is 3 itself so the answer is 3

Answer:
The price one drink is $3.

Explanation:

Let $x be the price of one drink.

10 + 3x = 19

3x = 19 - 10

3x = 9

x = 9/3

x = 3

Justin flipped a coin and it landed on tails 7 times and heads 3 times. What is the experimental probability that the coin lands on tails the next time he flips it? (HOW DID YOU GET YOUR ANSWER PLEASE SHOW WORK!!)
A. 70%
B. 5040
C. 5.2
D. 4(2X+4)
E. 300%
F. 2.5
G. 5267
H. 4X(2X-4)
I. 299%
J. .4

Answers

Answer:

Step-by-step explanation:

a scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual park is 10,080 inches long What is the width of the actual park, in inches

Answers

Shorter Answer:

7 inches → 280 yards

1 inch → 280 ÷ 7 = 40 yards

5 inches → 40 x 5 = 200 yards

Area = 280 x 200 = 56 000 yards

Answer: 56 000 yards

LongerAnswer (going more into depth):

Area of the actual park is 56000 square yards.

Step-by-step explanation:

A scale drawing of a rectangular park has dimensions as 5 inches width and 7 inches length.

Actual length of the park has been given as 280 yards.

So scale factor used in the drawing is 7 inches = 280 yards

Or 1 inch = 40 yards

Since width of the rectangular park is = 5 inch  

So actual width of the park will be = 5×40 = 200 yards

Now we can calculate the area of the park.

Actual area of the park = Length × Width

= 280×200

= 56000 yards²

Therefore, area of the actual park is 56000 square yards.

The sum of1/2 and 1/5 is between 1/2 and 1?

Answers

Answer:

the answer is 7/10, and yes it is between a whole and a half because 7/10 is over 1/2 but less that a whole.

Find the average rate of change

Answers

Answer:  The answer to this question would be  -6.

I hope this helped!

Answer:

-6

Step-by-step explanation:

g(-3) - g(0) / -3-0

= [2(-3²) + 10] - (0 + 10) ÷ -3

= (28 - 10) / -3

= -18/3

= -6

Jordan is making a paddleball court. The court consists of a wall outlined by 40 m of paint. What dimensions

will maximize the area of the paddleball court?

Length

Width

L

а length - 20 m, width - 20 m

b. length - 13.33 m, width = 1334 m

C length - 10 m, width - 10 m

d. length - 10 m, width 20 m

Answers

Answer:

ffhhfhhfhhfhfhfhfhhfhhfhfhfhfhfhfhfhfhfhhfhfhfhfh

Answer:

lnfadvogbfvuvgayuvgalof

Step-by-step explanation:

asdbujvygadsoufyudgasoufgaedoy

21 x 15 = (20 + 1) x 15 =

Answers

Answer:

hello! have a good day!

21 x 15 = (20 + 1) x 15 = 315

Solve for x in equation x^2-10x25=35

Answers

Answer:   b

Step-by-step explanation:

x= 5+√35 and 5-√35

Decide whether the two segments are parallel, perpendicular, or neither.
Show your work!
PO: P(5. 2) QC-1, 6)
AB: A(-2,3) B(4, -1)

Answers

Answer:

Step-by-step explanation:

You need to find the slopes of the line segments.

If the lines are perpendicular to each other, the product of their slopes is -1.

If the lines are parallel, they have the same slope.

First to answer gets brainliest

Answers

55>5x+39 this is your equation and since he wants to stay under 55 you didn’t use the one with the line.

What is the value of y?
2y
Y+10
50°

Answers

Answer:

The question is incorrect. Please rewrite the question.

Evaluate the expression.

2
3
(

7
)
+
2
3
(

5
)
3
2

(−7)+
3
2

(−5)

Answers

Answer:

add my sc = bmic ava, no spaces

or add my discord = XoXo_ava

Step-by-step explanation:

Also have a great day and remember youre worth, dont let no boy/girl tear u down. leave them h*es aside and focus on yo self!!!

AD is tangent to circle B at point C. What is the measure of angle BCA.

Answers

Answer:

90°

Step-by-step explanation:

Actually the question should be AC is tangent to circle B at point C. What is the measure of angle BCA.

AC is tangent and BC is radius.

Radius is perpendicular to the tangent.

Therefore,

measure of angle BCA = 90°

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