The equations that can be used to find the lengths of the legs of the triangle are x^2 + (x+2)^2 = 100, x^2 + 2x - 48 = 0 and 0.5x(x+2) = 24
Pythaogram theoremAccording to the theorem, the square of the hypotenuse is equal to the sum of the square of other two sides.
From the diagram
hypotenuse = 10ft
Other sides are x and (x+2)ft
According to the theorem:
10^2 = x^2 + (x+2)^2
x^2 + (x+2)^2 = 100
Expand
x^2 + x^2 + 4x + 4 = 100
2x^2 + 4x - 96 = 0
x^2 + 2x - 48 = 0
Divide through by 2
0.5x^2 +x - 24 = 0
0.5x(x+2) = 24
Hence the equations that can be used to find the lengths of the legs of the triangle are x^2 + (x+2)^2 = 100, x^2 + 2x - 48 = 0 and 0.5x(x+2) = 24
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What is the mean of the values in the stem-and-leaf plot?
Enter your answer in the box.
Key: 2|5 means 25
Answer:
42
Step-by-step explanation:
If you add all the number in the stem and leaf plot it equals 336 and you divide by how many numbers there are and there are 8 numbers so 336/8=42
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Find the value of x
A. 8
B. 4
C. 19
D. 2
2x+35=5x-22
2x-5x=-22-35
-3x=-57
3x=57
x=57/3
x=19
Find five numbers so that the mean, median, mode and range are all 4
Answer:
4, 4, 4, 4, and 4
Step-by-step explanation:
mode = 4
median = 4
so we know two of the five numbers are 4;
[tex](x+x+x+4+4)/5 =4[/tex]
[tex](3x+8x)/5 = 4[/tex]
multiply both sides by 5
[tex]3x+8=20\\3x=20-8\\3x=12\\x=4\\[/tex]
therefore; the numbers are all 4
Which is the best buy?
Pack of 8 apples for £1.65
Pack of 6 apples for £1.25
Answer:
Pack of 6 apples for £1.65 is better because the price of 1 apple is less in this answer.
A football team loses 5 yards on each of 3 consecutive plays.
What signed number represents the team's total loss of yards on the 3 plays? Write you
Part A
answer in the space provided.
Part B
Explain how you found your answer. Write your answer in the space provided.
Part A
Using proportions, it is found that the signed number -15 represents the team's total loss of yards on the 3 plays.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, in one play, the team lost 5 years, that is, the amount is -5. What is the amount on three plays? The rule of three is given by:
1 play - -5 yards
3 plays - n yards
Applying cross multiplication:
n = 3 x (-5) = -15.
The signed number -15 represents the team's total loss of yards on the 3 plays.
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please help i need help
Answer:
the answer is 14
Step-by-step explanation:
so first you subtract 8- 2 over 2 then =1 over 8 then subract 2 over 2
8 x 2 - 2 = 16 - 2 = 14 = 2 x 7 = 7
1 x 2 - 2 = 2 = 2 = 2 x 1
then 1 x 2 = 2 = 7 over 1 next add 21 over 3 + 7 = 21 over 3 + 7 over 1 = 21 over 3 + 21 over 3 = 21 +21 over 3 = 42 over 3 = 3 X 14 over 3 x 1 = 14
hope this helps you have a good day
Which of the following are identities? Check all that apply.
A. sin(x+y)+ sin(x - y) = 2cos x siny
B. cos(x + y) + cos(x- y) = 2cos x cosy
C. tan(x - 2) = tan x
D. COS(x + y) - cos(x - y) = 2 cos xcosy
Answer:
B. cos(x+y) + cos(x-y)= 2cosx.cosy
Step-by-step explanation:
cos(x+y) + cos(x-y)
= cosx.cosy - sinx.siny + cosx.cosy + sinx.siny
=cosx.cosy + cosx.cosy
=2cosx.cosy
18. Monique owns a catering business. Last weekend, she catered two events in which all attendees were served
either a chicken or a steak
dinner. The table below shows some pricing information about these two events
Before Tax Prices of Monique's Catered Events
Day of Number of chicken Number of steak Total before-tax
event Dinners served Dinners served
Price of dinners
Saturday 27
17
$809.50
Sunday
46
34
$1,495,00
The following system of equations can be used to determine the before-tax prices of dollars for each chicken
dinner and s dollars of each steak dinner Monique served.
27c+ 17s = 809.50
46c + 34s = 1,495.00
What is the before-tax price of a chicken dinner?
1:11
Solving the system of equations, it is found that the before-tax price of a chicken dinner is of $15.5.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable c: Price of a chicken dinner.Variable s: Price of a steak dinner.The system is given by:
27c+ 17s = 809.50
46c + 34s = 1,495.00
Multiplying the second equation by -0.5 and adding with the first we can remove s, hence:
27c+ 17s = 809.50
-23c - 17s = -747.50.
4c = 62.
c = 62/4.
c = 15.5.
The before-tax price of a chicken dinner is of $15.5.
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Complete the following sentence with the best phrase. A small P-value means:
A. The data provide strong evidence in favor of the null hypothesis
B. The data provide no evdence in favor of either hypothesis
C. The data provide little evidence in favor of the alternative hypothesis
D. The data provide strong evidence in favor of the alternative hypothesis
Answer:
d
Step-by-step explanation:
Given point a = -7 and point b = 15, find the distance from point a to b. *
a. 8
b. -22
c. 22
and the solution would be appreciated
Answer:
c
Step-by-step explanation:
the distance between a to b is
| 15 - (- 7) | = | 15 + 7 | = | 22 | = 22
or
| - 7 - 15 | = | - 22 | = 22
four friends go out for lunch. Each person orders 1 drink for 1.50 and 3 tacos. the total cost for all 4 people is $24. what is the price of one taco? $_
Answer:
$1.50
Step-by-step explanation:
4(1.50 + 3x) = 24
4(1.50 + 3x) = 24/4
_________
1.50 + 3x = 6. subtract by 1.50 from both sides.
3x = 4.50
3x/3 = 4.50
____
3
x = 1.50
hope this helps!
4) Debble uses 8 ounces of apples to make one serving of applesauce. How many servings
of applesauce can she make with 6 pounds of apples?
4) Hint: There are 16 ounces in 1 pound
Debble uses 8 ounces of apples to make one serving of applesauce.
12 servings of applesauce can she make with 6 pounds of apples.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Debble uses 8 ounces of apples to make one serving of applesauce.
There are 16 ounces in 1 pound
1 ounce = 1/16
8 ounces = 1/16 x 8
= 0.5 pounds
8 ounces of apples to make one serving of applesauce.
0.5 pounds apples = 1 serving of applesauce.
1 pound of apples = 1 / 0.5 serving of applesauce.
6 pounds of apples =
= [tex]\frac{1}{0.5} \times 6\\\\\frac{60}{5}\\ \\12[/tex]
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For circle h, jn = 5, nk = 4, ln = 2, and nm = x. solve for x. circle h with chords jk and lm intersecting at n inside the circle 10 2.5 1.6 7
The value of x for the circle h with chords jk and lm intersecting at n inside the circle is 10.
What is interseting chord theorem?The interseting chord theorem states that, when two chords in a circle intersect each other, then the product of their segment is equal.
For circle h in the given problem,
[tex]JN = 5, \\NK= 4, \\LN =2[/tex],
The value of segment NM is x. The figure of the circle h is attached below. In this figure, using the interseting chord theorem the chords can be given as,
LN×NM=JN×NK
2×x=5×4
x=20/2
x=10
Thus, the value of x for the circle h with chords jk and lm intersecting at n inside the circle is 10.
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Name a number that is a factor of 20 and 18 but a multiple of 2.
what is 5 2/3 x 13? I'm not really good with fractions
Answer:
The answer is 221/2 or 73 ⅔
Step-by-step explanation:
5 ⅔ = (3 × 5 + 2) ÷ 3 = 17/3
Now,
17/3 × 13 = 221/2 = 73 ⅔
Thus, The answer is 221/2 or 73 ⅔
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answer:
24
Step-by-step explanation:
Pythagorean Theorum: [tex]a^2+b^2=c^2[/tex]
Solving:
[tex]a^2+7^2=25^2[/tex]
[tex]a^2+49=625[/tex]
[tex]a^2=579[/tex]
[tex]\sqrt{a^2} = \sqrt{579}[/tex]
[tex]a=24[/tex]
Checking:
[tex]24^2+7^2=25^2[/tex]
Answer:
24
Step-by-step explanation:
Use the Pythagorean Theorem:
A^2 + B^2 = C^2
See the attached image.
Find the exact value of the expression sin(sin225 - 120)
Step-by-step explanation:
I use desmos . com so it's easier.
A) 1.29
B) 0.91
C) 0.97
D) 1.05
Good Luck!
Divide - 5/4 by 25/13
13/25
hope it helps..!!!
PLEASE HELP AS SOON AS POSSIBLE
6) The graphic shows the average number of points scored per game for
ten players in the NBA. What is the range value of the data set? A) 3.45 B) 3.5 C) 6.9 D) 7
Answer:
6.9
Step-by-step explanation:
I took the USATP hope it helps
If a gas tank and hold 25 gallons how many gallons does it contain when it is 2/5 full
is it possible to mass the sum of $153 in $5 bills? explain your answer
Answer:
Step-by-step explanation:
Let me see if I understand what you mean. Do you mean can you have 153 dollars in your pocket when all you have is 5 dollar bills?
If that is what you mean, then no that isn't possible. You can get 150 dollars or you can get 155 dollars, but you can't get 153.
In order to do the problem, using only 5 dollar bills, the number you choose must end in 0 or 5. If it ends in anything else, the task is impossible.
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Simplify the following expression: (52)^8
there are 19 birds in a pond, all of which are ducks or geese. if the number of ducks in the pond is 1 more than twice the number of geese in the pond, how many geese are in the pond?
Answer:
its 9
Step-by-step explanation:
19-1 divided by 2
so 19-1=18
18/2 equals 9
and thats your answer
An angle is reflected across the y−axis. how is the measure of the reflected angle related to the measure of the original angle?the measure of the reflected angle is equal to the measure of the original angle.the measure of the reflected angle is equal to the measure of the original angle.the measure of the reflected angle is half the measure of the original angle.the measure of the reflected angle is half the measure of the original angle.the measure of the reflected angle is one-third the measure of the original angle.the measure of the reflected angle is one-third the measure of the original angle.the measure of the reflected angle is twice the measure of the original angle.the measure of the reflected angle is twice the measure of the original angle.
The measure of the reflected angle is equal to the measure of the original angle
Reflection of angles and coordinatesAn image or figure reflected are mirror images of each other. While the coordinate points of the vertices of a figure are affected by reflection, the angles remain the same.
Hence if an angle is reflected across the y−axis, the measure of the reflected angle is equal to the measure of the original angle
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A dog is on the ground watching a cat on a 6-foot-
high wall. The angle of elevation from the dog to the
cat is 50º. About how far from the wall is the dog?
Answer:
5.0344
Step-by-step explanation:
tan=opposite
adjacent
Since you're trying to find the adjacent side to the angle 50, use tan.
So tan 50º= 6/x
Swap x and tan 50º , which puts tan 50º under the 6.
Use your calculator to find the approximate value of tan 50º (rounded to 4 decimals)
Then divide!
Prove triangle ABC is congruent to triangle DEF.
Answer:
Step-by-step explanation:
Rotate triangle DEF 90° and translate it up 1 point, and left 2 points.
Write a problem that represents the addition model shown above. Don't solve the problem.
15 points and Brainliest
HELP PLEASEE !!! Only correct answers and please no links
An experiment consists of rolling a die and then flipping a coin.
The following tree diagram shows the possible outcomes.
A tree diagram in which a center point branches to numbers 1 through 6, which each branch to an H & T.
© 2018 StrongMind. Created using GeoGebra.
What is the probability of rolling an even number or flipping a tail?
Enter your answer as a reduced fraction, like this: 3/14
Answer:
Both are 1/2
Step-by-step explanation:
Count just the tails, that's the numerator
Count all the heads and tails, that's the denominator.
And for the 2nd fraction:
Count just the evens, that's the numerator
Count all the even and odd numbers, that's the denominator.
Answer: The answer to this question is 3/4
Step-by-step explanation:
In this problem, there are 12 outcomes. Of those, 3 result in an even number and a tail, 3 more in an even number but not tail and 3 in a tail but an odd number, hence there are 9 desired outcomes.
Hence, the probability is given by: p=9/12=3/4
A committee is to consist of two members. If there are seven people available to serve on the committee, how many different committees can be formed?
What is the volume of the water in the tank?
Answer:
1008 in^3
Step-by-step explanation:
V= l*w*h
12.8*10.5*15=2016 in^3
The tank is half full
2016/2= 1008
1008 in^3