Answer:
Part 1) [tex]c=\sqrt{146}\ cm[/tex]
Part 2) [tex]c=8\sqrt{2}\ in[/tex]
Part 3) The diagonal of rectangle is [tex]d=3\sqrt{29}\ cm[/tex]
Part 4) The length of the diagonal of computer monitor is [tex]d=15\ in[/tex]
Part 5) The ramp is [tex]10.59\ ft[/tex] long
Part 6) The distance between their houses is [tex]=4\sqrt{2}\ mi[/tex]
Part 7) [tex]234.31\ mi[/tex]
Part 8) 120 feet of wire is required
Step-by-step explanation:
Part 1) we know that
To find the length of the hypotenuse in a right triangle apply the Pythagorean Theorem
[tex]c^2=a^2+b^2[/tex]
where
c is the hypotenuse (the greater side)
a and b are the legs
we have
[tex]a=11\ cm\\b=5\ cm[/tex]
substitute
[tex]c^2=11^2+5^2[/tex]
[tex]c^2=146[/tex]
[tex]c=\sqrt{146}\ cm[/tex]
Part 2) we know that
To find the length of the hypotenuse in a right triangle apply the Pythagorean Theorem
[tex]c^2=a^2+b^2[/tex]
where
c is the hypotenuse (the greater side)
a and b are the legs
we have
[tex]a=8\ in\\b=8\ in[/tex]
substitute
[tex]c^2=8^2+8^2[/tex]
[tex]c^2=128[/tex]
[tex]c=\sqrt{128}\ in[/tex]
simplify
[tex]c=8\sqrt{2}\ in[/tex]
Part 3) we know that
To find the length of the diagonal in a rectangle apply the Pythagorean Theorem
[tex]d^2=b^2+h^2[/tex]
where
d is the diagonal of rectangle
b and h are the base and the height of rectangle
we have
[tex]b=15\ cm\\hb=6\ cm[/tex]
substitute
[tex]d^2=15^2+6^2[/tex]
[tex]d^2=261[/tex]
[tex]d=\sqrt{261}\ cm[/tex]
simplify
[tex]d=3\sqrt{29}\ cm[/tex]
Part 4) we know that
To find the length of the diagonal of a computer monitor apply the Pythagorean Theorem
[tex]d^2=w^2+h^2[/tex]
where
d is the diagonal of computer monitor
w and h are the wide and the high of computer monitor
we have
[tex]w=12\ in\\h=9\ in[/tex]
substitute
[tex]d^2=12^2+9^2[/tex]
[tex]d^2=225[/tex]
[tex]d=\sqrt{225}\ in[/tex]
simplify
[tex]d=15\ in[/tex]
Part 5) we know that
To find out the length of the ramp apply the Pythagorean Theorem
[tex]L^2=x^2+y^2[/tex]
where
L is the length of the ramp
x is the horizontal distance of the ramp
y is the vertical distance of the ramp
we have
[tex]x=10\ ft\\y=3.5\ ft[/tex]
substitute
[tex]L^2=10^2+3.5y^2[/tex]
[tex]L^2=112.25[/tex]
[tex]L=10.59\ ft[/tex]
Part 6) we know that
To find the distance between their houses apply the Pythagorean Theorem
[tex]c^2=a^2+b^2[/tex]
where
c is the hypotenuse (distance between their houses)
a and b are the legs
we have
[tex]a=4\ mi\\b=4\ mi[/tex]
substitute
[tex]c^2=4^2+4^2[/tex]
[tex]c^2=32[/tex]
[tex]c=4\sqrt{2}\ mi[/tex]
Part 7) we know that
The speed is equal to divide the distance by the time
[tex]speed=distance/time[/tex]
so
the distance is equal to multiply the speed by the time
[tex]distance=speed*time[/tex]
First train
speed=60 mph
time=3 hours
distance=60(3)=180 miles
Second train
speed=50 mph
time=3 hours
distance=50(3)=150 miles
To find out how far apart are the trains at the end of 3 hours apply the Pythagorean Theorem
[tex]c^2=a^2+b^2[/tex]
where
c is the hypotenuse (distance between the trains)
a and b are the legs
we have
[tex]a=180\ mi\\b=150\ mi[/tex]
substitute
[tex]c^2=180^2+150^2[/tex]
[tex]c^2=54,900[/tex]
[tex]c=234.31\ mi[/tex]
Part 8) we know that
For one tree is needed three wire
To find out the length of one wire apply the Pythagorean Theorem
[tex]c^2=a^2+b^2[/tex]
where
c is the hypotenuse (length of one wire)
a and b are the distance above the ground and the distance from the base
we have
[tex]a=3\ ft\\b=4\ ft[/tex]
substitute
[tex]c^2=3^2+4^2[/tex]
[tex]c^2=25[/tex]
[tex]c=5\ ft[/tex]
so
For one tree is required ----> (5)3=15 ft
therefore
For 8 trees is required
Multiply by 8
15(8)=120 ft
Shen the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Friday there were 3 clients who did Plan A and 5 who did Plan B. On Saturday there were 6 clients who did Plan A and 2 who did Plan B. Shen trained his Friday clients for a total of 10 hours and his Saturday clients for a total of 10hours. How long does each of the workout plans last?
To find the duration of workout plans A and B offered by Shen, we set up a system of linear equations and solved them. Both plans last 1.25 hours each.
Explanation:Let us denote the duration of workout Plan A as A hours and Plan B as B hours. We can use the provided information to set up a system of linear equations representing the total training time on each day. On Friday, 3 clients did Plan A and 5 did Plan B for a total of 10 hours, leading to the equation 3A + 5B = 10. On Saturday, 6 clients did Plan A and 2 did Plan B for a total of 10 hours, resulting in the equation 6A + 2B = 10.
To solve this system of equations, we can use substitution or elimination. Multiplying the first equation by 2 gives us 6A + 10B = 20. Then we can subtract the Saturday equation from this to find the value of B:
(6A + 10B) - (6A + 2B) = 20 - 108B = 10B = 1.25 hoursNow that we know the duration of Plan B, we can plug this into either of our original equations to find the duration of Plan A. Let's use the Friday equation for this purpose:
3A + 5(1.25) = 103A + 6.25 = 103A = 3.75A = 1.25 hoursAs it turns out, both workout plans last the same amount of time, 1.25 hours each.
Jade uses 8
8
cups of flour to make 24
24
muffins.
At that rate, how much flour will it take to make 30
30
muffins?
Answer:
Step-by-step explanation:
if we divided 24/8 we can see that i takes 1 cup of flower for every 3 muffins so what divided by 3 gives us 30? 10 so you would need 10 cups
using the formula n3 +1 find the first three terms
Answer:
2, 9, 28
Step-by-step explanation:
To find the first 3 terms substitute n = 1, 2, 3 into the formula, that is
1³ + 1 = 1 + 1 = 2
2³ + 1 = 8 + 1 = 9
3³ + 1 = 27 + 1 = 28
The first 3 terms are 2, 9, 28
A company charges $25 a day for a car rental along with a $60 one time fee. Complete the table to determine the cost to rent the car for 1, 2, 3, or 4 days.
Answer:
Day 1 = 85 dollars
Day 2 = 110 dollars
Day 3 = 135 dollars
Day 4 = 160 dollars
Step-by-step explanation:
$60 is a one time fee so only has to be used once in a formula.
Y:25x+60 X= the # of days so just multiply numbers of days by 25 then add the 60.
If f(x) = –4x^2 – 6x – 1 and g(x) = –x^2 – 5x + 3, find (f – g)(x)
Answer:
B
Step-by-step explanation:
Note (f - g)(x) = f(x) - g(x)
f(x) - g(x)
= - 4x² - 6x - 1 - (- x² - 5x + 3) ← distribute parenthesis by - 1
= - 4x² - 6x - 1 + x² + 5x - 3 ← collect like terms
= - 3x² - x - 4 → B
Please help me find the value of the missing variable
Answer:
x = 10
Step-by-step explanation:
The sides of an equilateral triangle are all 60°. Divide 60 by 6 and get 10
Yeah just divide 60÷6 which equals 10
Danielle earns a 7.25% commission on everything she sells at the electronics store where she works. She also earns a base salary of $650 per week. How much did she earn last week if she sold $4,400 in electronics merchandise? Round your intermediate calculations and answer to the nearest cent.
Danielle earned $969 last week if she sold $4,400 in electronics merchandise
Solution:Given that, Danielle earns a 7.25% commission on everything she sells at the electronics store where she works.
She also earns a base salary of $650 per week.
We have to find how much did she earn last week if she sold $4,400 in electronics merchandise?
Now, we know that, earned amount = base salary + commission
Given that she earns a 7.25% commission on everything she sells
So commission earned for selling $ 4400 is given as:
commission earned = 7.25 % of 4400
[tex]\text { commission earned }=\frac{7.25}{100} \times 4400=7.25 \times 44=319[/tex]
Earned amount = base salary + commission = 650 + 319 = 969
Hence, she earned $969 last week
Sam is flying a kite. The length of the kite string is 80 meters, and it makes an angle of 75° with the ground. The height of the kite from the ground is meters.
Answer:
THE HEIGHT OF THE KITE FROM THE GROUND=80mtr
Step-by-step explanation:
let H be the height of kite from ground
[tex]\sin\theta[/tex]=[tex]\frac{height}{hypotenuse}[/tex]
[tex]\sin\90[/tex]=[tex]\frac{H}{80}[/tex]
1=[tex]\frac{H}{80}[/tex]
H=80meters
Please help me will Mark you down as brainlest!
Answer:
p=0.15 p'=0.24 Option D
Step-by-step explanation:
Lucy is on her way home in her car. Her drive is 18 miles long. She has finished one-third of the drive so far. How far has she driven
Answer:
6 miles
Step-by-step explanation:
1/3 of 18 is 6 since 18 / 3 is 6
Answer:
6
Step-by-step explanation:
18 divided by 3 =6
If 23 boxes of neon bouncy ball are sold and 31 boxes of glow in the dark stickers were sold what were the total sales in dollars.
Answer:
You can't because we don't know the price of the boxes
To find the total sales in dollars, you need to know the price of each box of neon bouncy balls and each box of glow in the dark stickers. Let's assume that each box of neon bouncy balls costs $10 and each box of glow in the dark stickers costs $5. Calculate the total sales from the neon bouncy balls and the glow in the dark stickers separately, then add the totals together to find the total sales.
Explanation:To find the total sales in dollars, you need to know the price of each box of neon bouncy balls and each box of glow in the dark stickers. Let's assume that each box of neon bouncy balls costs $10 and each box of glow in the dark stickers costs $5.
First, calculate the total sales from the neon bouncy balls: $10 x 23 = $230.
Then, calculate the total sales from the glow in the dark stickers: $5 x 31 = $155.
Finally, add both totals together to find the total sales: $230 + $155 = $385.
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Sam has a piece of rope that is 3 feet long. He cuts the rope so that one piece
is 15 feet long. How long is the other piece?
Done →
Answer:
that makes no sense unless you meant to put 30 instead of 3 then the answer would be 15
Step-by-step explanation:
Mara's family is driving to her grandmothers' house. The family travels 239.4 miles between the hours of 9:10 a.m. to 1:40 p.m. Write an equation that Mara can use to determine their average rate of travel, R, rounded to the nearest mile per hour.
Use the given numbers and operations to complete an equation.
Mara's family's average rate of travel, R, is calculated by dividing the total distance of 239.4 miles by the total time of 4.5 hours and then rounding to the nearest mile per hour.
To determine Mara's family's average rate of travel, R, you should start by calculating the total travel time. They started at 9:10 a.m and ended at 1:40 p.m, which is a span of 4 hours and 30 minutes, or 4.5 hours when converted to decimals to match the units of the distance traveled. Now use the formula for average speed, which is distance divided by time.
So, R = total distance / total time.
Substitute the given values into this formula to arrive at R = 239.4 miles / 4.5 hours. To find the average rate of travel, rounded to the nearest mile per hour, you would complete the division and then round the result.
Example Equation:
R = 239.4 miles / 4.5 hours
Help me what is 11u2 over 121v
Answer:
u^2/11v
Step-by-step explanation:
11u^2/121v=u^2/11v
Because 11/121=1/11.
Which number line represents the solution to 2.5 – 1.2x < 6.5 – 3.2x?
A number line from negative 5 to 5 in increments of 1. An open circle is at 4 and a bold line starts at 4 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 4 and a bold line starts at 4 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at 2 and a bold line starts at 4 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 2 and a bold line starts at 4 and is pointing to the right.
The number line which represents the solution of 2.5 -1.2 x < 6.5 - 3.2 x is " A number line from negative 5 to 5 in increments of 1. An open circle is at 2 and a bold line starts at 2 and is pointing to the left "
Step-by-step explanation:
On the number line, when we represent the solution of an inequality:
If the sign of inequality is ≥ or ≤ we draw a black circle to represent the numberIf the sign of inequality is > or < we draw an open circle to represent the numberIf the sign of inequality is > or ≥, then the line starts from a point and is pointing to the rightIf the sign of inequality is < or ≤, then the line starts from a point and is pointing to the left∵ 2.5 -1.2 x < 6.5 - 3.2 x
- Add 3.2 x to both sides
∴ 2.5 + 2 x < 6.5
- Subtract 2.5 from both sides
∴ 2 x < 4
- Divide both sides by 2
∵ x < 2
∴ The solution of the inequality is x < 2 ⇒ all numbers less than 2
∵ The sign of inequality is <
- By using the points above
∴ The solution represented on the number line by an open circle
is at 2 and the line starts at 2 and pointing to the left
The number line which represents the solution of 2.5 -1.2 x < 6.5 - 3.2 x is " A number line from negative 5 to 5 in increments of 1. An open circle is at 2 and a bold line starts at 2 and is pointing to the left "
The answer is not in the choices
Learn more:
You can learn more about inequalities in brainly.com/question/10402163
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Answer:
C
Step-by-step explanation:
Your answer in simpler terms is c or the 3rd one this is for edge 2021-2020
Have a great day!
A restaurant offers delivery for their pizzas. The total cost is a delivery fee added to the price of the pizzas. One customer pays $25 to have two pizzas delivered. Another customer pays $58 for five pizzas. How many pizzas are delivered to a customer who pays $80?
Answer:
7
Step-by-step explanation:
We know, slope = rise/ run. We can use this slope formula to find out the value of every pizza.
So, 58-25/( 5-2) = 33/ 3= 11
So, every pizza costs $11
Now, A customer pays $80 for a number of pizzas. So, if we divide 80 by 11 we can find the value of unknown number of pizzas he ordered.
So, 80/11= 7.27
Here, pizzas can't be fraction and cost of a delivery fee is added to the cost. So, we can remove the fraction.
So, the customer ordered 7 pizzas for $80.
What divided by 2000 equals 2 hundreds
Answer:
400,000
Step-by-step explanation:
Lets do the inverse of division which is multiplication so we are going to multiply 2,000 by 200 and get 400,000 and you can check by dividing 400,000 by 2,000 and you would get 200
NEED SMART STUDENT PLEASEE
Answer:
All triangles equal up to 180⁰. With that in mind, let's solve
Step-by-step explanation:
x + 124⁰ + 33⁰ = 180⁰
\_______/
x + 157⁰ = 180⁰
- 157⁰ -157⁰
_______ ______
x = 23⁰
x = 23⁰
The bolded part is your answer. I hope this helps!
Answer:
The x is equal to 23°.
Step-by-step explanation:
Because any triangle's three angles add up to 180°, all you have to do is add the other two angles together and subtract that sum from 180.
180 - (124 + 33) = 23°
Hope this helps,
♥A.W.E.S.W.A.N.♥
(P.S. You can give 5accsdeletedalready Brainliest, you need either 2 people to be able to choose Brainliest or you have to wait until the next day.)
pls help answering a b and c
Answer:
a) The very first one where the line starts to the left
b) m=125.82
c) 320.81 thousand dollars
Step-by-step explanation:
a) The point on the graph who corresponds to x=3 years and Salary=$200,000 is the very first one where the line starts to the left
b) If a line is given by Y=mx+b, m represents the slope of the line. In this case, m=125.82 which can be interpreted as the rate of growth of the salary per year in thousands of dollars. A doctor can expect to earn 125.82 thousand dollars more than the previous year.
c) If we use the given regression line Y=125.82x-182.47 and make x=4, we get
y=125.82 (4)-182.47 =320.81 thousand dollars
can you help me with 1-8?!
Answer:
1-8 would be 1 minus 8, which would give you the answer of -7.
Step-by-step explanation:
For myself, imagine the numbers on a number line, such as on the coordinate plane. Imagine 1(positive 1) plotted on the positive side. "Minus 8 would mean jumping back 8 times, which would bring you to negative 7, or -7.
roberto has 200$ to spend on tickets to the hockey game . since each ticket costs $30, that means he could purchase 6.67 tickets with his $200. how many tickets can he buy ?
Answer:
6 tickets
Step-by-step explanation:
you can't round it so just says 6 tickets with left over money
The number of tickets Roberto can buy with his $200 is 6 tickets.
The total amount Roberto has to spend on tickets = $200.
The cost of each ticket = $30.
We need to find the number of tickets Roberts can buy for the hockey game.
Total amount to spend on ticket = $200.
Cost of each ticket = $30.
The number of tickets possible to buy with $200 :
= 200 / 30
= 6.67 tickets.
We can not have 6.67 tickets so we can say 6 tickets.
Since each ticket cost $30, the total cost for the ticket is :
= 6 x $30
= $180
So after buying 6 tickets Roberto will be left with $20.
The number of tickets Roberto can buy with his $200 is 6 tickets.
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Find the slope of (-6,2) and (-4,13)
We can use the points (-6, 2) and (-4, 13) to solve.
Slope formula: y2-y1/x2-x1
= 13-2/-4-(-6)
= 11/2
______
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Which fraction is equal to one third 7/21 , 6/9 or 13/33
Answer:
7/21
Step-by-step explanation:
1/3 = 0.333333
7/21 = 0.3333333
Answer:
The 7/21
Step-by-step explanation:
You can simply it by dividing the 7 by 7 which equals 1 and the 21/7 equals 3 so that means it equals 1/3
Mark has $80 to spend at a store. He will spend $56 on a shirt, and then buy some socks. Each pair of socks cost $6. He wants to buy as many pairs as possible. The following equation show how to find the number of pairs of socks can he buy; 80 = 56 + 6x. How many socks can he buy?
Answer: your answer is four
Step-by-step explanation: I basically did 80-56 since he bought a shirt that cost 56 dollars so then from that we found out how much money he has left which is $24 now since were looking for the amount of socks he could possible but I then divide $24 by 6 since each pair cost $6 which then gives you 4.
use two unit multipliers to convert 628 kilometers to centimeters
Using two unit multiplier 628 km is equal to 62800000 cm
Solution:
628 kilometer to centimeter
We will go from kilometers to meters to centimeters.
Start by putting 628 km over 1:
[tex]\frac{628 km}{1}[/tex]
We want to get rid of km and bring in m.
We know that 1000 m = 1 km.
Since km is in the numerator, we will make the first unit multiplier by putting 1 km in the denominator and 1000 m in the numerator, so the km will cancel. So we multiply by the unit multiplier,
[tex]\frac{628 km}{1} \times \frac{1000m}{1km}[/tex]
Now the km's will cancel:
[tex]\frac{628}{1} \times \frac{1000m}{1}[/tex]
Now we want to get rid of m and bring in cm.
We know that 100 cm = 1 m.
Since meter is in the numerator, we will make the first unit multiplier by putting 1 meter in the denominator and 100 cm in the numerator, so the meter's will cancel. So we multiply by the unit multiplier
[tex]\frac{100cm}{1m}[/tex]
[tex]\frac{628}{1} \times \frac{1000m}{1} \times \frac{100cm}{1m}[/tex]
We cancel the m's and we end up with:
[tex]628 \times 1000 \times 100 cm[/tex]
= 62800000 cm
Thus 628 km is equal to 62800000 cm
Final answer:
To convert 628 kilometers to centimeters, multiply by the conversion factors for kilometers to meters and then meters to centimeters, leading to 62,800,000 centimeters.
Explanation:
To convert 628 kilometers to centimeters, we need to apply two unit multipliers. The first conversion factor is 1 kilometer = 1000 meters, and the second conversion factor is 1 meter = 100 centimeters.
First, we convert kilometers to meters:
628 km × 1000 m/km = 628,000 meters
Then, we convert meters to centimeters:
628,000 m × 100 cm/m = 62,800,000 centimeters
Therefore, 628 kilometers is equal to 62,800,000 centimeters.
1. Refer to the equation 2x − 6y = 12.
(a) Create a table of values for at least 4 points. Show your work.
(b) Use the table of values to graph the line.
Answer:
In pictures.
Step-by-step explanation:
2x-6y=12
-6y=-2x+12
y=2/6x-2
Now the equation is in standard form.
Table in attachments.
Graph in attachments.
Sorry, I made a mistake somewhere and got 2 different lines.
This answer might not be right.
The diagonal of a square measured 7 square root of 2 cm. Find the length of a side of the square
The diagonal of a square measured 7 square root of 2 cm. Then the length of side of square is 7 cm
Solution:
Given that,
The length of diagonal of a square is [tex]7 \sqrt{2}[/tex] cm
The figure is attached below
So length of diagonal = AC = [tex]7 \sqrt{2}[/tex] cm
Let the length of sides of the square be ‘a’
Since, the diagonal and the sides are forming a right angled triangle
So, we can use Pythagoras theorem,
Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.
In triangle ABC, AC forms the hypotenuse and BC is the perpendicular and AB is the base
So above Pythagoras theorem definition,
[tex](\mathrm{BC})^{2}+(\mathrm{AB})^{2}=(\mathrm{AC})^{2}[/tex]
[tex]\begin{array}{l}{(a)^{2}+(a)^{2}=(7 \sqrt{2})^{2}} \\\\ {2 a^{2}=98} \\\\ {a^{2}=98 \div 2=49} \\\\ {a=\sqrt{49}=7}\end{array}[/tex]
Hence, the length of the square is 7 cm
14y+6=2 in standard form
Answer:
y=-2/7
Step-by-step explanation:
14y+6=2
14y=2-6
14y=-4
y=-4/14
simplify
y=-2/7
A rectangle has an area of x2 + x-6 and a width of x-2. What is the length of the
rectangle?
Answer:
The length of the rectangle is x+3.
Step-by-step explanation:
(x^2+x-6)/(x-2)=x+3
Because (x-2)(x+3)=x^2-2x+3x-6=x^2+x-6, which is the area.
Since the width is x-2, you can find the length very easily.
Which graph represents the function h(x)=-(x+6)3-3
Answer:
Step-by-step explanation:
Slope: -3
Y-Intercept: -21
x: 0, 1,
y: -21, -24
h(x)=−3x−21 is the closest answer