a. How far is the spot on the beach from the parking lot?
b. How far will he have to walk from the parking lot to get to the refreshment stand?
Show work please.
The altitude of the right triangle is the geometric mean of the 2 parts of the side it separates.
a. The answer would be sqrt(18*32)=24
The question to the second question can be answered by using the Pythagorean theorem.
32^2+24^2=1600=40^2
b. The answer would be sqrt40^2=40
The beach, the parking lot and the refreshment stand are illustrations of similar triangles.
The distance between the spot and the parking lot is 24 mThe distance between the refreshment stand and the parking lot is 40 m(a) The distance between the spot and the parking lot
Represent this distance with d.
So, the equivalent ratio is:
[tex]\mathbf{32:d = d : 18}[/tex]
Express as fractions
[tex]\mathbf{\frac {32}d = \frac{d}{ 18}}[/tex]
Cross multiply
[tex]\mathbf{d \times d = 32 \times 18}[/tex]
[tex]\mathbf{d^2 = 576}[/tex]
Take square roots
[tex]\mathbf{d = 24}[/tex]
Hence, the distance between the spot and the parking lot is 24 m
(b) The distance between the refreshment stand and the parking lot
Represent this distance with d.
Using Pythagoras theorem we have:
[tex]\mathbf{d^2 = 32^2 + 24^2}[/tex]
[tex]\mathbf{d^2 = 1600}[/tex]
Take square roots
[tex]\mathbf{d = 40}[/tex]
Hence, the distance between the refreshment stand and the parking lot is 40 m
Read more about similar triangles at:
https://brainly.com/question/14926756
Find L if A=LW, A=55 m2, and W=11 m.
Answer:44
Step-by-step explanation:subtract 55-11 which would equal L
Answer:
If you are multiplying L*W the answer would be 5 because w=11 ok and we don't know what L is but we know what A is and a=55 so you have to think what do we multiply 11 by to get 55 weel it's 5 so that's how we would know it's 5 IF you were multiplying. now if you just adding L+W that answer would be 44 because 55-11=44
Hope this helped:)
can someone answer this one for me?
Answer:
it would be 540 degrease i just took the qiuz in first pd. an got it right lol
Step-by-step explanation:
what is the inequality -24<3(3x-2)<30
Answer:
− 2 < x < 4
Step-by-step explanation:
daniel has $50 saved and makes $7.50 per hour working how much money would daniel have after working 10 hours
In a race in which 6 automobiles are entered and there are no ties, in how many ways can the first three finishers come in?
Answer:
Step-by-step explanation:
number of ways=6×5×4=120
Complete the function table for y=2.5x−8 .
Answer:
x=3.2
Step-by-step explanation:
The value of the function at x =1 is -5.5.
What is a function?The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.
Given that the function is y = 2.5x - 8. The value of the function will be calculated as,
At x = 1 the value of y will be,
y = 2.5 x - 8
y = ( 2.5 x 1 ) - 8
y = 2.5 - 8
y = -5.5
To know more about function follow
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#SPJ2
6 - 3x = -6 PLEASE ANSWER FAST I NEED HELP!!!
Answer:
4
Step-by-step explanation:
Subtract 6 to both sides so you can get -12. Next divide -3 from x and -12. Finally your answer should be positive 4. Mark me brainily please if it is correct
Find the quotient. 42j4k2 ÷ (-3j3k)
Answer:
(-14) (4/3k) = -56k/3
Step-by-step explanation:
42/-3 = -14
j/j = 1, so j "cancels"
4k²/3k = 4/3k
Answer:
-14jk
Step-by-step explanation:
Which expression is equivalent to -2(x - 5) - 9x?
11x - 5
7x + 10
-11x - 5
-11x + 10
Answer:
-11x+10
Step-by-step explanation:
-2(x-5)-9x
Distribute:
-2x+10-9x
Combine like terms:
-11x+10
Hope this helps!
somebody help me ASAP!!! No joking
Answer:
it is given that. a^2 + b^ 2 = c^2
then we need to find b
then formula will
b= √(c^2 - a^2)
hence 3600 - 1296
=. √{ 1296}
=. 48
Why is it a problem to find the square root of a negative number, for example √-4?
Answer:
It is not possible because no number times itself can equal a negative number.
Answer:
Taking the square root of a negative number is a problem because this technically does not follow the rules of a square root. A square root is made of a number times itself, and therefore, is impossible to have a negative times a positive to make a negative total (An example would be √4, as the answer can be 2 (because 2 x 2 = 4) or -2 (because -2 x -2 = 4)).
This means that in order to solve √-4, you must use imaginary numbers. This is represented by "i."
For the example of √-4, your answer would be 2i. These imaginary numbers are used whenever you are square rooting a negative number in order to show that it is breaking the real rules of roots.
anyone tell me the answer
Answer:
a. Pop
b. 30 CDs
c. 230 CDs
Step-by-step explanation:
Given that "O" represents 20 CDs
a. The CD that was the mode is the CD that has as much "O", which is Pop.
Mode = Pop
b. Number of Rock CDs = 3 × 20 = 60 CDs
Number of Classical CDs = 1½ × 20 = 30 CDs
Therefore, 30 more CDs of Rock were sold than Classical CDs were sold
c. Pop = 5*20 = 100 CDs
Jazz = 2*20 = 40 CDs
Classical = 1½*20 = 30 CDs
Rock = 3*20 = 60 CDs
Total sold altogether = 100 + 40 + 30 + 60
= 230 CDs
can u pls help me i need help
Answer:
cbbbbb
Step-by-step explanation:
SOMEONE HELP PLEASE
Answer:
We cant see what you are talking about we cant see the equation
Step-by-step explanation:
Step-by-step explanation:
106+94+135+5 = 340
540-340=200
200/2= 100
X = 100
2x²-26x+84 (Factor COMPLETELY)
[tex]\tt{} {2x}^{2} - 26x + 84[/tex]
[tex]\tt{}2 {(x}^{2} - 13x + 42)[/tex]
[tex]\tt{}2 {(x}^{2} - 6x - 7x + 42)[/tex]
[tex]\tt{}2( x \times (x - 6) - 7(x - 6))[/tex]
[tex]\tt{}2(x - 6) \times (x - 7)[/tex]
What do Geometry teachers use to decorate their floors?
The solution to the riddle, Geometry teachers use to decorate their floors is Area rugs.
What is the area of a figure?The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters, square feet, square inches, and other similar units are used to measure area.
The problem is actually, a riddle(Joke) and the solution to the problem is Area rugs.
Thus, the solution to the riddle, Geometry teachers use to decorate their floors is Area rugs.
Learn more about the Area:
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Identify the rule for fg when f(x) = –3x – 6 and g(x) = x2 – x – 6.
Answer:
f(g) = -3( x^2 -x-6) -6 = -3x^2+3x+12
The store Matilda works at bought a pair of leggings for $12. They plan on selling them for $20. What percent are the leggings marked up?
Answer:
67%
Step-by-step explanation:
difference between the numbers = $8
8 ÷ 12 X 100 = 67%
Find the measure of x in the right triangle.
X
21
2
Answer:
I'm not sure if this is the right answer b/c ur question is too vague but the answer is x = 67
Step-by-step explanation:
x + 21 + 2 = 90
x + 23 = 90
- 23 - 23
x = 67
The area of square ABCD is 144 square units. The area of square EFGH is 64 square units. H∈ AB and G∈ BC . The blue area is three times the red area. Find the area of △HBG.
Answer:
24
Step-by-step explanation:
RSM
Find the value of r(q(-5)).
Answer:
=−5qr
Step-by-step explanation:
x/4 = 1/3 what is x?
Step-by-step explanation:
Given
[tex] \frac{x}{4} = \frac{1}{3} \\ cross \: multiply \\ 3x = 4 \\ x = \frac{4}{3} [/tex]
Hope it will help :)
Answer:
1/3×4 = 1, 3
x is 1,3
Step-by-step explanation:
hope this helps!
For the expression 2 x squared + 28 x + 93 Over (x + 6) cubed, which sum represents the correct form of the partial fraction decomposition?
Answer:
Option-3
Step-by-step explanation:
got-it-lol
also-keyboard-broke:(
ahh can someone help me please
what is the coefficient of the c-term algebraic expression 14a-72r-c-34c
Miss Van invested some money by using the app e-trade. She tracks her
gains and losses using the app on her phone. Miss Van receives a daily
notification that updates her on all her transactions from the previous day.
This morning, her notification read as follows: Yesterday's investment
activity included a loss of $500, a gain of $740, and another gain of $120.
Log in now to see your current balance. Write an integer to represent the
highlighted box.
Answer:
$360
Step-by-step explanation:
Gains represents additions to her account while losses represent substractions
-$500
+740
+120 ________
$360
What is the total cost of a $12 t-shirt if the sales tax is 6.5%?
PLZ HELP ILL MARK BRAINLIEST
Answer:
35/7
13/4
Step-by-step explanation:
I hope to help you
Answer:
five and four sevenths
5 4/7
Step-by-step explanation:
make them both improper fractions, multiply straight accross, then simplify.
12/7 * 13/4
= 156/28
= 39/7
= 5 and 4/7 in mixed number form
When Alexis adopted her puppy, the puppy weighted 12 pounds. One year later, the puppy weighted 60 pounds. By what percent did the puppy's weight change in one year?
Answer:
400%
Step-by-step explanation:
Original wieght = 12
New weight = 60
Change = 60- 12= 48
Change percent = change / original x 100 = 48 / 12 x 100 = 400 %
I hope its right!!!! :)