Answers
Answer:
[tex]\sqrt{8}----- 2units,2units[/tex]
[tex]\sqrt{7} ------\sqrt{5}units,\sqrt{2}units[/tex]
[tex]\sqrt{5}-------1unit,2units[/tex]
[tex]3------2units, \sqrt{5}units[/tex]
Step-by-step explanation:
Use pythagorean's theorem to solve each pair individually.
The instructions say that you have the two sides (a and b) and you have to match it with their hypothenuse.
[tex]Formula: c^2=a^2+b^2[/tex]
1. [tex]a=\sqrt{5}, b=\sqrt{2}[/tex]
Plug this into the formula.
[tex]c=\sqrt{(\sqrt{5} )^2+(\sqrt{2})^2 }[/tex]
The square here eliminates the roots.
[tex]c=\sqrt{5+2}\\ c=\sqrt{7}[/tex]
2. [tex]a=\sqrt{3}, b=4[/tex]
[tex]c=\sqrt{(\sqrt{3} )^2+(4)^2}\\ c=\sqrt{3+16}\\ c=\sqrt{19}[/tex]
3. [tex]a=2, b=\sqrt{5}[/tex]
[tex]c=\sqrt{(2)^2+(\sqrt{5})^2 }\\ c=\sqrt{4+5}\\ c=\sqrt{9}\\ c=3[/tex]
4. [tex]a=2, b=2[/tex]
[tex]c=\sqrt{(2)^2+(2)^2}\\ c=\sqrt{4+4}\\ c=\sqrt{8}[/tex]
5. [tex]a=1, b=2[/tex]
[tex]c=\sqrt{(1)^2+(2)^2}\\ c=\sqrt{1+4}\\ c=\sqrt{5}[/tex]
Related Questions
A support wire extends from the top of a 225 feet radio tower to the ground and makes an angle of 64° with the ground. How long does the wire need to be to reach from the top of the tower to the ground?
Answers
Answer:
250.34 feet
Step-by-step explanation:
Find attached to this answer and appropriate diagram.
From this question, we can see that this is a trigonometric function
The height of the radio tower = 225 feet = Opposite side
θ = Angle 64°
In the question we are told to find the length of the wire needed to reach from the top of the tower to the ground.
From the attached diagram, we can see that that is equivalent to finding the hypotenuse.
Hence, we are using the Trigonometric function of Sine.
sin θ = Opposite side/ Hypotenuse side
sin 64 = 225 feet/ Hypotenuse
Cross multiply
sin 64 × Hypotenuse = 225 feet
Divide both sides by sin 64
Hypotenuse = 225 feet / sin 64
Hypotenuse = 250.33543661 feet
Approximately = 250.34 feet
Therefore, the length of the wire needed to reach from the top of the tower to the ground is 513.3 feet.
6 x 10 to the power of -2 is how many times as large as 2 x 10 to the power of -8. PLEASE RESPOND QUICK
Answers
Answer:
False
Step-by-step explanation:
The left side 0.06 does not equal to the right side 0, which means that the given statement is false.
Some insight: This is a unit rate question.
Answers
Answer:
i think is B.
Step-by-si tep explanation:
A college statistics class at a nearby university has 1,000 students enrolled in it. On a recent exam, the mean score was 75% with a standard deviation of 5%. Use the calculator to show what percentage of students scored between a 73 and 78 (C grade).
Answers
Answer:
38.11%
Step-by-step explanation:
Given that:
Mean (μ) = 75, standard deviation (σ) = 5
Z score is a measure in statistics to determine the variation of a raw score from the mean. It is given by the equation:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
To calculate the percentage of students scored between a 73 and 78 (C grade), we need to find the z score for 73 and then for 78.
For x = 73, the z score is:
[tex]z=\frac{x-\mu}{\sigma}=\frac{73-75}{5} =-0.4[/tex]
For x = 78, the z score is:
[tex]z=\frac{x-\mu}{\sigma}=\frac{78-75}{5} =0.6[/tex]
From the probability distribution table:
P(73 < x < 78) = P(-0.4 < z < 0.6) = P(z < 0.6) - P(z < -0.4) = 0.7257 - 0.3446 = 0.3811 = 38.11%
30 points! Fraction Equasion
Answers
Answer: -3.3
Step-by-step explanation:
Answer:
-3.3
Step-by-step explanation:
-2.3 - (4.5 - 3 1/2)
Change the fraction to a decimal)
-2.3 - (4.5 - 3.5)
Parentheses first
-2.3 - (1)
Subtract
-3.3
Which expression is equivalent to
ва ?
o areks
22
зев
обек
22
34
Answers
Answer:
22
Step-by-step explanation:
it is epuivalet
Money is shared between kiera and louise in the ratio 4 :5 If £36 is shared how much does kiera recievve
Answers
Answer:
18$
Step-by-step explanation:
Answer:
£16
Step-by-step explanation:
Sum the parts of the ratio, 4 + 5 = 9 parts
Divide the money by 9 to find the value of one part of the ratio
£36 ÷ 9 = £4 ← value of 1 part of ratio, thus
4 × £4 = £16 ← Kiera's share of the money
Find the area of the shape shown below.
12
4
Answers
The answer to this question is 32
Answer:
32
Step-by-step explanation:
Veronique and Lily compare their investment accounts to see how much they will have in the accounts after seven years. They substitute their values shown below into the compound interest formula. Compound Interest Accounts Name Principal Interest Rate Number of Years Compounded Veronique $1,000 5% 7 Once a year Lily $1,800 9% 7 Once a year A = P (1 + r) Superscript t Which pair of equations would correctly calculate their compound interests? Veronique: A = 1,000 (1 + 0.05) superscript 7, Lily: A = 1,800 (1 + 0.09) Superscript 7 Veronique: A = 1,000 (1 + 0.07) Superscript 5, Lily: A = 1,800 (1 + 0.07) Superscript 9 Veronique: A = 1,800 (1 + 0.05) Superscript 7, Lily: A = 1,000 (1 + 0.09) Superscript 7 Veronique: A = 1,000 (1 + 0.07) Superscript 5, Lily: A = 1,800 (1 + 0.07) Superscript 9
Answers
Answer:
Veronique: A = 1,000 (1 + 0.05) superscript 7, Lily: A = 1,800 (1 + 0.09) Superscript 7
Step-by-step explanation:
the equation used to calculate future value of an investment (or bank deposit) using compound interest is:
future value = present value x (1 + interest rate)ⁿ
Veronique: future value = $1,000 x (1 + 5%)⁷ = $1,057Lily: future value = $1,800 x (1 + 9%)⁷ = $3,290.47Answer:
the answer would be A
Step-by-step explanation:
what the person above said.
The partial pressure of carbon dioxide in a mixture is 0.31 atm.
If the mole fraction of the carbon dioxide is 0.46, what is the
total pressure of the mixture?
Answers
Answer:
[tex] P_{Co2}= X_{Co2} P_{tot}[/tex]
Where [tex] P_{tot}[/tex] represent the total pressure and [tex]X_{Co2}[/tex] the fraction of carbon dioxide is 0.46 and we can find the total pressure with this formula:
[tex] P_{tot}= \frac{P_{Co2}}{X_{Co2}}[/tex]
And replacing we got:
[tex] P_{tot}= \frac{0.31 atm}{0.46}= 0.674 atm[/tex]
Step-by-step explanation:
For this case the partial presure of carbon dioxide is given by:
[tex] P_{Co2}= X_{Co2} P_{tot}[/tex]
Where [tex] P_{tot}[/tex] represent the total pressure and [tex]x_{Co2}[/tex] the fraction of carbon dioxide is 0.46 and we can find the total pressure with this formula:
[tex] P_{tot}= \frac{P_{Co2}}{X_{Co2}}[/tex]
And replacing we got:
[tex] P_{tot}= \frac{0.31 atm}{0.46}= 0.674 atm[/tex]
Evaluate 7 r − 15 s 7r− s 15 7, r, minus, start fraction, 15, divided by, s, end fraction when r = 3 r=3r, equals, 3 and s = 5 s=5s, equals, 5.
Answers
Answer: 18
Step-by-step explanation:
Evaluate 7 r − 15 /s
Given that r = 3 and s = 5
7r - 15/s
Substitute 3 for r and 5 for s in the above expression
7(3) - 15/5
= 21 - 3
= 18
Answer:
18
Step-by-step explanation:
PLZ HElp!! Solve the inequality. –6 < 2x – 4 < 4
Answers
Answer:
- 1 < x < 4
Step-by-step explanation:
[tex] - 6 < 2x - 4 < 4 \\ - 6 + 4 < 2x < 4 + 4 \\ - 2 < 2x < 8 \\ \frac{ - 2}{2} < x < \frac{8}{2} \\ \purple{ \boxed{ \bold{ - 1 < x < 4}}}[/tex]
Sloane needs 2/3 hour to drive to her grandmother's house. It takes her 4 times as long to drive to her cousin's house. How long does it take to drive to her cousin's house? It takes ____ hours to drive to her cousin's house.
Answers
Answer:
8/3 hours
Step-by-step explanation:
Sloane drives for 2/3 hours to get grandmother's house
Inorder to arrive at her cousin's house she is required to drive 4 times longer
= 2/3 ×4
= 8/3 hours
Thus, Sloanne needs to drive for 8/3 hours inorder to reach her cousin's house.
is 5/2 irrational or rational
Answers
HELPPPP PLEASE ! GET POINTS AND BRAINLIEST!
Answers
Answer:
1. segment RT
2. segment QS
3. segment PS
4. < QTR
5. arc QR
6. arc QSR
7. arc QS
These are all by definition.
Radius: distance from the center of a circle to a point on the circle
Diameter: a chord that goes through the center
Chord: any segment whose endpoints are on the circle
Central Angle: an angle at the center of the circle with endpoints on the circle
Minor Arc: arc that is less than 180 degrees
Major Arc: arc that is greater than 180 degrees
Semicircle: Arc of 180 degrees
N/A
N/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/A
Answers
Answer:
why is there an N not paired up with A at the beginning, and an A without an N at the end? oh my gosh dude pair them up theyre lonely
Step-by-step explanation:
Dave wants to sketch a scale drawing of the porch. Choose a reasonable scale and make a scale drawing of the porch. Label the demensions of the model
Answers
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
Given the information:
20 feet long 6 feet widthA reasonable scale and make a scale drawing of the porch could be :
1 inch =4 feet
<=> the length side: 20:4 = 5 inches
<=> the width side: 6:4 = 1.5 inches
Hope it will find you well.
What are the steps of finding the Circumference of a circle
Answers
Answer:
How to find the circumference of a circle:
Step-by-step explanation:
The circumference of a circle can be found by multiplying pi which is 3.14 by the diameter of the circleIf a circle has a diameter of 4, its circumference is 3.14 x 4 = 12.56If you know the radius, the diameter is twice as largeHope this helps! :)
does anyone know the answer to this please ?
Answers
Answer:
I think it's the first one.
Find the product of (−2r+6s)(−2r−6s). Write your answer in standard form.
Answers
Answer:
4r^2 - 36 s^2
Step-by-step explanation:
Which of the following describe the growth rate of the exponential function in the graph below?
Answers
Answer:
B)
Step-by-step explanation:
Let's check each answer:
A is incorrect. If that were the case, (0,1) to (1,3) would be (0,1) to (1,5) instead
B is correct. The y-coordinate gets multiplied by 3 each time (0,1)->(1,1*3)->(2,3*3)->(4,3*3*3)
C is incorrect. If that were the case, (1,3) to (2,9) would be (1,3) to (2,7) instead.
D is incorrect. If that were the case, (0,1) to (1,3) would be (0,1) to (1,4) instead.
Therefore, the correct answer is B.
Answer:
Its B :)
Step-by-step explanation:
I j took the unit quiz lol
May someone help me solve
g(x)=8x^2-10x-3 and find the x intercepts
Answers
X intercepts:
(-1/4,0),(3/2,0)
Which of the following situations is not an example of financial responsibility? Select all that apply.
(there is more than one answer)
A.pay with cash instead of a credit card
B.making payments on time
C.not sticking to a set budget
D.spending all of your paycheck
E.using coupons when you can
Answers
Answer:
C.not sticking to a set budget
D.spending all of your paycheck
Step-by-step explanation:
The situations which are not an example of financial responsibility are C. not sticking to a set budget and D. spending all of your paychecks.
Given are some situations in the options.
It is required to find those which are included in the financial responsibility.
Financial responsibility can be defined as the responsibility of a person who uses finances responsibly without spending too much or dealing with finance carelessly.
A) pay with cash instead of a credit card
This is something a responsible person does, who will not use a credit card until urgency came.
B) making payments on time
A financially responsible person will make payments on time. I not, the person will be affected by future bulk payments which will be very difficult then.
C) not sticking to a set budget
A financially irresponsible person will not stick to a budget and spends so much carelessly.
D) spending all of your paycheck
If a person is financially responsible, the person will not spend ll paychecks, since some will go to savings.
E) using coupons when you can
Using coupons when you can is a good thing in the case of finance since it will save money.
Hence the correct options are C and D.
Learn more about Financial Responsibility here :
https://brainly.com/question/8741325
#SPJ2
The difference of a number and 8 is no more then 13
Answers
x - 8 = </= 13
x could be from 9 to 21
Rosia ate 1/8 of a pizza. She then split the remainder of the pizza so she could share with her friend. What fraction of the pizza did they each take home?
Answers
Answer:
7/16
Step-by-step explanation:
3. Which line is horizontal?
A. y = 2
B. y = 2x
C. y = -2x
D. y = x
Answers
Answer: y = 2
Explanation: When the equation of any line reads y = a number, its graph will always be a horizontal line.
So, y = 2 would be a horizontal or flat line.
X2+Y2−8X+6Y+21=0 Use the process of completing the square to rewrite the equation above as the equation of a circle in standard form , and identify the center and radius . The center is at the point ( , ) The radius is
Answers
Answer:
Step-by-step explanation:
hello : here is an solution
A card is picked at random from the following set. What is P(9) ? Write your answer as a percentage in the box given below.
Answers
Answer:
25%
Step-by-step explanation:
The (not mentioned in the question) set is: 6 7 8 9.
There are 4 total outcomes and only 1 favorable outcome, then the probability to pick a 9 is:
P(9) = favorable outcome/total outcomes
P(9) = 1/4 = 0.25 or 0.25*100 = 25%
4688-3) -30X-5 CX-5)
Answers
Answer:
x = 13/3
Step-by-step explanation:
4(8x-3) - 30x = 5(x-5)
Distribute
32x - 12 - 30x = 5x -25
Combine like terms
2x -12 = 5x-25
Subtract 2x from each side
2x-12-2x = 5x-2x -25
-12 = 3x-25
Add 25 to each side
-12+25 = 3x-25+25
13 = 3x
Divide each side by 3
13/3 = x
Answer:
x ≈ 4.3
Step-by-step explanation:
Distribute the 4 to (8x - 3) and the 5 to (x - 5), like so:
4(8x - 3) - 30x = 5(x - 5)
32x - 12 - 30x = 5x - 25
Add like terms (32x and -30x), like so:
32x - 30x = 2x
2x - 12 = 5x - 25
Subtract 2x from both sides:
2x - 12 = 5x - 25
-2x -2x
____________
-12 = 3x - 25
Add 25 to both sides:
-12 = 3x - 25
+ 25 + 25
____________
13 = 3x
Divide both sides by 3:
4.3 ≈ x
What is the surface area of the square pyramid?
A net has a square base with side lengths of 2, and 4 triangles with heights of 3.
square units:
Answers
9514 1404 393
Answer:
16 square units
Step-by-step explanation:
The area of the square base is ...
A = s²
A = 2² = 4
The area of each triangle is ...
A = (1/2)bh
A = (1/2)(2)(3) = 3
So, the area of the base and 4 triangles is ...
total area = 4 + 4(3) = 16 . . . square units
Answer:
its 16
Step-by-step explanation:
