Find d, the depth of the water.
- 721
40 ft
115ft
a. 27 ft
b. 8.3 ft
c. 192 ft
d. 33 ft
Answer:
a
Step-by-step explanation:
Consider the triangles to be similar, that is the the one on the left and the outer one. Then the ratios of corresponding sides are equal, that is
[tex]\frac{40}{72}[/tex] = [tex]\frac{15}{d}[/tex] ( cross- multiply )
40d = 1080 ( divide both sides by 40 )
d = 27 ft → a
look at screenshot and answer question
Answer:
32x +20
Step-by-step explanation:
Answer:
32x+20
Step-by-step explanation:
If you use distributive property you would multiply each number by 4. 4 times 8x is 32x and 4 times 5 is 20, and when you put those together you get 32x+20!
I hope this helps, and have a great day!
How many solutions does 3(x + 5) – 3 = 2(3x + 1) – 3x have? Show your work.
Answer: There are no solution
Step 1: Simplify both sides of the equation.
3(x+5)−3=2(3x+1)−3x
(3)(x)+(3)(5)+−3=(2)(3x)+(2)(1)+−3x(Distribute)
3x+15+−3=6x+2+−3x
(3x)+(15+−3)=(6x+−3x)+(2)(Combine Like Terms)
3x+12=3x+2
3x+12=3x+2
Step 2: Subtract 3x from both sides.
3x+12−3x=3x+2−3x
12=2
Step 3: Subtract 12 from both sides.
12−12=2−12
0=−10
After solving the equation, the value obtained for x is 0, which means that there is no solution for the equation.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given equation mentioned in the question,
3(x + 5) - 3 = 2(3x + 1) - 3x
Let's simplify the equation first,
3x + 15 - 3 = 6x + 2 - 3x
Now, rearrange the equation with similar terms on each side,
3x + 3x - 6x = 3 +2 - 15
0 = -10, then there is no solution.
To know more about equation:
https://brainly.com/question/29657983
#SPJ5
10, 6, 3, 10, 1
Mode ??
Median ??
Answer:
Median is 6 Mode is 10
Step-by-step explanation:
Median is the middle number when all the numbers are lined up in order.
Mode is the number that shows up most frequently.
Answer:
Mode: 10
Median: 6
Step-by-step explanation:
From 1999 to 2000, the number of days of unhealthy air quality in Charlotte, North Carolina, dropped from 5 to 2. Find the percent of decrease in the number of days of unhealthy air.
A.
15%
B.
6%
C.
1.5%
D.
60%
Answer: it’s D which is 60%, hope it helps
Maria is reading a book that has 237 pages. She
already read some of it last week. She plans to read 30
pages tomorrow. By then, she will be of the way
through the book. How many pages did Maria read
last week?
Answer:
49 pages
237/3 = 79.
30+49 = 79
I need answers to these.
Have to find x,y and z.
Answer:
z= 2√2
x=2
y=2√2
Which equation represents a line with a slope of -6/5
and a y-intercept of 1?
Answer:
y = -6/5x + 1
Step-by-step explanation:
The equation that represents a line with a slope of -6/5 and a y-intercept of 1 is y = -6/5x + 1
How to determine the equation?The given parameters are:
Slope, m = -6/5y-intercept = 1Let the variable of the equation be x.
A linear equation is represented as:
y = Slope * x + y-intercept
So, we have:
y = -6/5 * x + 1
Evaluate
y = -6/5x + 1
Hence, the equation is y = -6/5x + 1
Read more about linear equations at:
https://brainly.com/question/15602982
#SPJ2
Which of the following is the product (5y − 3)2?
Answer:
= 10y − 6 is your answer
Step-by-step explanation:
option B is correct, 25y²-30y+9 is the product of (5y − 3)².
What is Expression?The combination of numbers, variables, and operators is known as Expression.
The given expression is (5y − 3)²
The process of determining the product of two or more numbers is Multiplication.
The expression is five times of y minus three to the power of two.
From algebraic identity we have (a-b)²=a²+b²-2ab
Now (5y − 3)²
(5y)²+3²-2(5y)(3)
25y²+9-30y
Twenty five y to the power of two plus nine minus thirty times of y.
25y²-30y+9 is the expression after product of (5y − 3)².
Hence, option B is correct, 25y²-30y+9 is the product of (5y − 3)².
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ2
Which of the following is the product (5y − 3)2?
A. 10y − 6
B. 25y2 − 30y + 9
C. 25y2 − 9
D. 25y2 + 30y − 9
Angles that ALWAYS sum to 180°
Answer:
supplementary angles
Step-by-step explanation:
20 points
2. If a number cube is rolled, what is the theoretical probability, as a
reduced fraction of not rolling a 3?" A) 1/6 B) 5/6 C) 5/1 D) 1/5
Answer:
Probability of getting a "3" is 1/6
Probability of not getting a "3" is (1-1/6)=5/6
B) 5/6 is the right answer.
If g(x) = 10 - 2x then which of the following is the value of g(7)?
Answer:
g(7)= -4
Step-by-step explanation:
10-2(7)
10-14
=-4
The value of g(7) is -4.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
g(x) = 10 - 2x
For x = 7,
g(7) = 10 - 2 x 7
g(7) = 10 - 14
g(7) = -4
Thus,
g(7) = -4.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ2
Larry paid $4.16 for 4 tomatoes. At this same rate, how much would 7 tomatoes cost?
-$11.16
-$7.28
-$7.00
-$2.38
Answer:
7.28
Step-by-step explanation:
You have to know the same rate for $4.16 for 4 tomatoes. Think about it
Felix surrounds a 12 in. by 8 in. photo with a frame that is x inches wide. Which quadratic function represents the combined area A of the picture and the frame?
A. A(x) = x^2 + 20x + 96
B. A(x) = x^2 + 40x + 96
C. A(x) = 4x^2 + 20x + 96
D. A(x) = 4x^2 + 40x + 96
Answer:
D: A(x) = 4x² + 40x + 96
Step-by-step explanation:
Dimensions of photo is;
Length; L = 12 inches
Width; W = 8 inches
Now, this picture is surrounded by a frame that is "x" inches wide. Thus, new dimensions are;
L_new = 12 + x + x = 2x + 12
W_new = 8 + x + x = 2x + 8
New area is;
A_new = (2x + 12) × (2x + 8)
A_new = 4x² + 24x + 16x + 96
A_new = 4x² + 40x + 96
Use multiplication to find the quotient. 5 / 1/4
Answer:
20
Step-by-step explanation:
5/ 1/4 --> 5 x 4 (flip the 1 and 4 in 1/4)
HELP ASAP!!!! PLEASE HELP!!!!
Step-by-step explanation:
[tex] \sin(c) = \frac{36}{45} = 0.8 \\ \cos(c) = \frac{27}{45} = 0.6\\ \tan(c) = \frac{36}{27} = 1.333[/tex]
what number is halfway between 8.270 and 8.280? The answer is 8.275 hope this helps
Answer:
8.275
Step-by-step explanation:
8.280 - 8.270 = 0.010
0.010/2 = 0.005
8.270 + 0.005 = 8.275
The number halfway between 8.270 and 8.280 is 8.275.
What is Arithmetic?The study and use of numbers, their connections, and mathematical observations are topics covered by the area of mathematics known as arithmetic. The fundamental ideas in number theory, measurement, and calculation are frequently referred to as "arithmetic" (which is derived from the Greek word "arithmos," "number") (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).
As per the given data:
We have to find the number which is halfway between 8.270 and 8.280.
For finding the number, we can calculate the difference between 8.270 and 8.280 and then divide it by two now we can add the obtained number into 8.270 to get the number.
[tex]\frac{8.280 - 8.270}{2}[/tex]
= [tex]\frac{0.010}{2}[/tex]
= [tex]0.005[/tex]
The number halfway between 8.270 and 8.280:
8.270 + 0.005
= 8.275
Hence, the number halfway between 8.270 and 8.280 is 8.275.
To learn more about arithmetic, click:
brainly.com/question/23848329
#SPJ3
During second period, Bryant completed a grammar worksheet. He got 21 out of 75 questions
correct. What percentage did Bryant get correct?
pls help due asap
:..
Answer:
a
Step-by-step explanation:
there are 8 circles and 6 squares. what is the simplest ratio of squares to circles.
Answer:
4:3
Step-by-step explanation:
8:6 then divide both by 2
It rained 6 days in the month of april. What percent of the month did it rain?
**there are 30 days in April**
Answer:
5% of the time or in a decimal it's 0.05
2.5 ( y + ⅖ ) = -13
im really bad at math someone pls help
Answer:
-5.6
Step-by-step explanation:
first distribute the 2.5
also convert the 2/5 to decimal (0.4) because it's hard to work with both decimal and fraction
2.5y + 2.5*0.4 = -13
2.5y +1 = -13
y = -14/2.5 = -5.6
A right triangle has a leg of length 12 and a hypotenuse of length 23 yards. Find the length of the other leg (nearest tenth).
You decide to invest $250 in an account that yields a retum of approximately 4% each year. Which function represents this situation? Of(x) = 1.04 - 250 Of(x) = 4.250 O f(x) = 250.4" Of(x) = 250 - 1.04
Answer:
The options are not clear, select which matches the answer belowStep-by-step explanation:
Investment = $250Interest rate = 4%Time = x yearsThe function is:
f(x) = 250 + 250*0.04x = 250(1 + 0.04x)Ann goes to a dress shop and spends $58.35. Ann bought 3 dresses, each costing the same amount of money.
Which equation is set up and solved correctly for x , the price of each dress?
Answer:
$58.35 ÷ 3 = x
Step-by-step explanation:
$58.35 represents the price in total for all of the dresses Ann bought, 3 represents the number of dresses she bought, and x represents the price for each of the dresses.
I hope this helps you :D
what is the simplified form of y^2 -y -12/ y^2 +8y+15
Answer:
(y - 4)/(y + 5)Step-by-step explanation:
Simplify by factoring both trinomials:
(y^2 - y - 12)/ (y^2 +8y + 15) = (y - 4)(y + 3) /(y + 5)(y + 3) =(y - 4)/(y + 5)Veronica bought an ICEE for $6 at the movies. She also bought some hot dogs for $3 each. Veronica did not want to spend more than $27 on the ICEE and hot dogs. Which inequality can be used to find h, the number of hot dogs Veronica could have bought?
Answer:
6 + 3h ≤ 27
Step-by-step explanation:
hope this helpsss
what is the likelihood of choosing a blue marble from a bag containing 8 red, 6 yellow, 12 green, and 6 blue marbles
Answer:
6/32 or 3/16 chance
Step-by-step explanation:
Adding all of the marbles up we get our total, 32.
We have 6 blue marbles so 6/32 or 3/16 chance of picking a blue marble.
Answer:
6/32 or u can simplify it to 3/16
Plzzzzz give me Brainliest!!!!!
Team Green and Team Blue play in a competition. Team Green has twelve more points than Team Blue.
Team Green has four times as many points as Team Blue.
How many points does each team have?
Answer:
Team blue points = 4 points
Team green points = 16 points
Step-by-step explanation:
Let
Team blue points = x
Team green points = (x + 12) points (1)
Team green points = 4x (2)
Equate equation (1) and (2)
x + 12 = 4x
12 = 4x - x
12 = 3x
x = 12/3
x = 4 points
Team blue points = x
= 4 points
Team green points = (x + 12)
= 4 + 12
= 16 points
Team green points = 4x
= 4(4)
= 16 points