The length of TU in the right triangle is 156.15 m.
The area of the rectangle is 12335.85 m²
The length of GH in the right triangle is 182.33 m
The area of the triangle is 8934.17 m²
Right angle triangleRight angle triangle are triangle that has one of its angle as 90 degrees. The sides of the triangle can be found using Pythagoras theorem. Therefore, using Pythagoras theorem,
TU² = 175² - 79²
TU² = 30625 - 6241
TU² = 24384
TU = √24384
TU = 156.153770368
TU = 156.15 m
area of rectangle = lw
area of rectangle = 156.15 × 79
area of rectangle = 12335.85 m²
GH² = 207² - 98²
GH² = 42849 - 9604
GH² = 33245
GH = √33245
GH = 182.33211456
GH = 182.33 m
Area of the triangle = 1 / 2 bh
Area of the triangle = 1 / 2 × 98 × 182.33
Area of the triangle = 17868.34 / 2
Area of the triangle = 8934.17 m²
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Which statement is true about the expressions below?
The specifications for the dimensions of a new cardboard container are shown. If the volume of the container is modeled by V(h) = 2h^3 - 9h^2 + 4h and it will hold 45 cubic inches of merchandise, what are the containers dimensions?
Solving a cubic equation, it is found that the dimensions of the container are of 1 inch, 9 inches and 5 inches.
The volume of the cubic container is given by the following equation:
[tex]V(h) = 2h^3 - 9h^2 + 4h[/tex]
Since it holds 45 cubic inches of merchandise, we have that [tex]V(h) = 45[/tex], then:
[tex]V(h) = 2h^3 - 9h^2 + 4h[/tex]
[tex]45 = 2h^3 - 9h^2 + 4h[/tex]
[tex]2h^3 - 9h^2 + 4h - 45 = 0[/tex]
Using a cubic equation calculator, the real solution is [tex]h = 5[/tex], thus, the dimensions are:
[tex]h = 5[/tex]
[tex]h - 4 = 5 - 4 = 1[/tex]
[tex]2h - 1 = 2(5) - 1 = 10 - 1 = 9[/tex]
The dimensions of the container are of 1 inch, 9 inches and 5 inches.
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Which of the following is the correct interpretation of 2?
In a statistics class, a teacher had the students
complete an activity in which they grabbed as many
bite-sized pretzels as they could with their dominant
hand, without crushing them. The teacher then
measured their handspan in centimeters. A regression
analysis was completed and the value for was
52.1%
* About 52.1 percent of the variation in handspan is
accounted for by the linear relationship formed with
the number of bite-sized pretzels grabbed with the
dominant hand.
About 52.1 percent of the variation in number of
bite-sized pretzels grabbed with the dominant hand
is accounted for by the linear relationship formed
with handspan
About 47.9 percent of the variation in handspan is
accounted for by the linear relationship formed with
the number of bite-sized pretzels grabbed with the
dominant hand
About 72.1 percent of the variation in number of
bite-sized pretzels grabbed with the dominant hand
is accounted for by the linear relationship formed
with handspan
Answer:
B
Step-by-step explanation:
EDGEN
Answer:
B. About 52.1 percent of the variation in number of bite-sized pretzels grabbed with the dominant hand is accounted for by the linear relationship formed with handspan.
Step-by-step explanation:
Hiii, What is the volume of the figure?
Leonardo needs 1.65 L of distilled water for an experiment how many 550 ML containers of water will he need for the experiment
Answer:
0.0003
Step-by-step explanation:
fifteen minutes past eight in the evening on a 24 hour clock
Answer:
20:15
Step-by-step explanation:
Answer:
A quarter past eight.
Step-by-step explanation:
Please answer the question step by step!
Answer:
Step-by-step explanation:
See the figure below.
This is how you graph directly from the equation in the slope-intercept form (y = mx + b) without having to create a table of x and y values.
The equation is
y = -2/3 x + 1
Compare it with
y = mx + b
b = 1
The y-intercept is 1, so mark 1 on the y-axis. (You already did.)
I placed a black dot there.
The slope is m.
m = -2/3
slope = m = rise/run
A slope of -2/3 can be though of as -2 rise and 3 run. That means start from the y-intercept, and go -2 in y (a rise of 2 down) and 3 in x (a run 3 right). Point graphed in red.
Mathematically, -2/3 is the same as 2/(-3), so starting again from the y-intercept, this slope can also be though of as rise of 2 in y (a rise of 2 up) and a run of -3 in x (a run of 3 left). Point graphed in green.
The line is graphed in blue.
help me please (I had to write something to ask this question)
Answer:
-5
Step-by-step explanation:
I think it would be -5 because if Celia had -3, that would take away from Janine, so then it would leave the points at 5. But, it says the team had 0 points all together, so wouldn't it be -5?
Solve for X in the questions
Step-by-step explanation:
x = 360°- (90°+36°+36°)
= 360 - (162°)
= 198°
___________
[tex] \: [/tex]
Step by step :PQR = 360°
QR = 90°
PQ = 36°
RX = 36°
Soo :
x = 360° - (90° + 36° × 2)
x = 360° - (90° + 72°)
x = 360° - (162)
x = 198°✔
4 x - 6y x = 3 y = 2
please help
with this question
Answer:
its
Step-by-step explanation:
A is what my brother said
A pole that is 2.6 m tall casts a shadow that is 1.26 m long. At the same time, a nearby tower casts a shadow that is 37.25 m long. How tall is the tower?
Answer:
Step-by-step explanation:
The ratio of height to shadow length will be proportional.
2.6 / 1.26 = h / 37.25
h = 37.25(2.6)/1.26 = 76.865079...
h = 76.9 m
Whats the answer? ( Branliest )
Answer:
4
Step-by-step explanation:
4-0.25g +0.5h
We have,
g=10
h=5
Putting the values,
4-0.25g +0.5h= 4-0.25*10+0.5*5 =4 -2.5 +2.5 = 4
Answer:
4Step-by-step explanation:
[tex]4 - 0.25g + 0.5h \\ 4 - 0.25(10) + 0.5(5) \\ 4 - 2.5 + 2.5 \\ 4 \\ [/tex]
Which number is rational?
Please help me
Answer:A
Step-by-step explanation:
Andre wrote the expression -2 + 4x = 3 to represent the relationship shown in the table. Write two other expressions that also represent the relationship shown in the table.
Two other expressions that also represent the relationship shown in the table are;
4x-5 = 04x-5 = 0x = 5/4According to the question;
Andre wrote the expression -2 + 4x = 3 to represent the relationship shown in the tableIn essence, to write two other expressions that also represent the relationship shown in the table; we can rearrange the terms in the expression Andre wrote (-2 + 4x = 3) as follow;
First expression is;
-2 - 3 + 4x = 04x-5 = 0Second expression is;
4x = 5x = 5/4Read more:
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Help I have a C in math. I don't understand this Alegbra. If you get it right then I will give you Brainlist! (Ignore the black dots because I am not sure if they are right)
Answer:
YOUR RIGHT FOR BOTHH
Step-by-step explanation:
Answer:
Step-by-step explanation:
BAKERY Rolls are being prepared to go to grocery stores, Divide 72 rolls
into 2 groups so the ratio is 3 to 5,
Answer:
36
Step-by-step explanation:
72 divided by 2 = 36
I need step by step solution..
the general solution of cosx-sin3x=cos2x is..??
Answer:
I am doiiinnnnnnnnngggggg
o
Addison is considering two sales jobs. She
estimates her total monthly sales will average $18,000. Which job should Addison take if she wants to earn more money each month? How much more will she earn?
A commission of 24% of her total
monthly sales.
Salary of $4,000 with a commission of 12.25% on her total monthly sales
over $14,500.
Answer: job 2 $ 108.75
Step-by-step explanation:
The total income after adding commission will be $5776.25.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that salary of $4,000 with a commission of 12.25% on her total monthly sales of over $14,500.
Total income will be calculated as:-
Total income = 4000 + 12.25% of 14500
Total income = 4000 + 1776.25
Total income = $5776.25
Therefore, the total income after adding the commission will be $5776.25.
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What is the domain of the function?
Negative infinity less-than x less-than infinity
Negative 1 less-than x less-than infinity
0 less-than-or-equal-to x less-than infinity
1 less-than-or-equal-to x less-than infinity
Answer:
(-∞,∞)
Step-by-step explanation:
Answer:
first one
Step-by-step explanation:
[tex] \sqrt[3]{x} [/tex]
has the domain all of the real numbers
The table lists recommended amounts of food to order for 25 party guests. and are hosting a graduation party for 40 guests. They know there will also be guests stopping by who may have come from other parties. For ordering purposes, they will count each of these 45 "drop-in" guests as half a guest. How much of each food item should and order for a graduation party with drop-in guests?
Answer:
667
Step-by-step explanation:
Answer:
It will be
1. 3
2.2
3.5
Step-by-step explanation:
HOpe this helps!
A seed weighs 0.00002421 ounces. What is this value in correct scientific notation?
A) 2421 x 108
B) 2.421 x 105
2.421 x 10-5
D 2421 x 10
-8
Answer:
C) 2.421 x 10^-5
Step-by-step explanation:
A negative exponent on a power of ten will make the decimal point go back that amount of times to the left, making it a lesser number. A positive exponent will cause it to move to the right, making the number greater. We aren’t going to need to make any of the numbers being multiplied greater, so we can eliminate the first two. Then we need to solve the others. We can do this by moving the decimal the amount of times that we see the exponent equals. Since C is -5, we move it to the left 5 times, and get the weight of the seed; 0.0002421.
Hope This Helped!
Fatima drove 100 miles in 4 hours. What is the constant of proportionality for 100 miles in 4 hours and 200 miles in 8 hours? Please answer ASAP.
Answer:
25
Step-by-step explanation:
4 hours goes into 100 miles 25 times.
on his social studies test,cody answered 87 out of 95 questions correctly what portion of his answers was correct?write your answer as a decimal rounded to the nearest thousandth
Answer:
92%
Step-by-step explanation:
Mr. Candy needs to purchase large bags of Snickers to sell in the school store. A bag of Snickers contains 72 Snicker bars. A bag of Snickers cost $23. How much should Mr. Candy sell the Snicker bars to make a profit of $49?
Answer:
70 cents each snickers bar
Step-by-step explanation:
Solve for x: 8 (3x + 10) = 28x - 14 - 4x
Answer:
[tex]8(3x + 10) = 28x - 14 - 4x \\ 8 \times 3x + 8 \times 10 = 28x - 14 - 4x \\ 24x + 80 = 24x - 14 \\ 0x = 94 \\ x = > has \: no \: solution[/tex]
Solve for the values of x for each of the following exponential equations and inequalities.
1. 82− = 2
3. 5 = 25−2
4. 3+2 ≥ 27
5. 43 = 8−1
Answer:
8
2−x
=2
8^{2-x}=8^{1/3}8
2−x
=8
1/3
2-x=\dfrac{1}{3}2−x=
3
1
x=\dfrac{5}{3}x=
3
5
2.
(\dfrac{1}{2})^{x}<\dfrac{1}{8}(
2
1
)
x
<
8
1
(\dfrac{1}{2})^{x}<(\dfrac{1}{2})^{3}(
2
1
)
x
<(
2
1
)
3
x>3x>3
3.
5^x=25^{x-2}5
x
=25
x−2
25^{x/2}=25^{x-2}25
x/2
=25
x−2
\dfrac{x}{2}=x-2
2
x
=x−2
\dfrac{x}{2}=2
2
x
=2
x=4x=4
4.
3^{x+2}\geq273
x+2
≥27
3^{x+2}\geq3^33
x+2
≥3
3
x+2\geq3x+2≥3
x\geq1x≥1
5.
4^{3x}=8^{x-1}4
3x
=8
x−1
2^{6x}=2^{3x-3}2
6x
=2
3x−3
6x=3x-36x=3x−3
3x=-33x=−3
x=-1x=−1
Step-by-step explanation:
Calculate the state income tax per year in PA on a salary of $55,000 *
1 point
$1688.50
$200.00
$700.00
Answer:
If you make $55,000 a year living in the region of Pennsylvania, USA, you will be taxed $11,017. That means that your net pay will be $43,984 per year, or $3,665 per month. Your average tax rate is 20.0% and your marginal tax rate is 32.8%.
Step-by-step explanation:
3 3/4 × 2 10/11 Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
10 10/11
Step-by-step explanation:
Answer:
10 10/11
Step-by-step explanation:
3 3/4 × 2 10/11
15/4 * 32/11
480/44
120/11
10 10/11
Let two cards be delt successively without replacement from a standard 52 card deck find the probability of the event. the first card is a ten and the second is a face card.
HELP PLEASE!!!!
Answer:
well for the 10 it is a 4/52 chance and for face cards, 16/52
Step-by-step explanation: