Answers
Answer:
x = 15
Step-by-step explanation:
I used the pythagorean theorem on BAC triangle
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)
The length of BC is 15 units.
In the right triangle ABC.
we have AC = 8 units and AB = 17 units.
We need to find the length of BC using the Pythagorean theorem.
What is the Pythagorean theorem?It states that in a right-angled triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In the given right-angle triangle ABC.
We have,
AB = hypotenuse and the other two sides are AC and BC.
Applying the Pythagorean theorem.
We get,
[tex]AB^{2} = AC^2 +BC^2[/tex]
Now substitute AC = 8 and AB = 17.
[tex]17^2=8^2+BC^2\\289=64+BC^2\\BC^2=289-64\\BC^2=225\\BC=\sqrt{225}\\ BC=15 ~units.[/tex]
Thus, we have the length of BC as 15 units.
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Related Questions
At a pet store the ratio of cats to dogs sold was 5 : 3. If there were 40 cats that were sold, how many dogs were sold?
Answers
Answer:24 dogs
Step-by-step explanation:8x3
what is x ^ 2 × x^-12
Answers
Answer:
1/x^10
Step-by-step explanation:
hope that helps:)
Hope this helped :)
Chris purchases a living room furniture set for $4,345 from Halloran Gallery. She has a one-year, no interest, no money down, deferred payment
plan. She does have to make a $15 monthly payment for the first 11 months.
a. What is the sum of these monthly payments?
b. How much must Chris pay in the last month of this plan?
Answers
Answer:
a) $165
b) $4180
Step-by-step explanation:
15×11=165
4,345-165=4180
a) The sum of these monthly payments is $165
b) Chris pay in the last month of this plan is $4180
What is Unitary Method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units?
For example
Ram spends 36 Rs. for a dozen (12) bananas. 12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Price for furniture set = $4,345
a) The sum of these monthly payments
=15×11
=$165
b) Chris pay in the last month of this plan
=4,345-165
= $4180
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Consider the expression 3 + 4 x (5+6) + 7.
Which operation should be evaluated first?
Answers
Please answer this i have 3 minutes left before its due
Answers
Answer:
Step-by-step explanation:
Y=-1/7x-30/7
4+7a=12+8a
with steps pls
Answers
Answer:a=-8
Step-by-step explanation:
4+7a=12+8a
So first you want to have the variables on the same side
4+7a-7a=12+8a-7a
This is how you got the 7a to the right side. Then you subtract 8a-7a So the equation becomes
4=12+a
Now there are two ways of doing this.
1. 4-12=12-12+a
You moved the 12 to the left side so you have the same variable on one side
4-12=-8
So then a=-8
Or
2. 4-4=12-4+a
0=8+a
then you would have to subtract 8 to keep 'a' by itself
-8=8-8+a
simplify it
-8=a
same thing
step 1: subtract 7a from both sides.
now you have 4=12+a
step 2. subtract 12 from both sides.
now you have -8=a
the answer is a=-8
leave a thanks or mark brainliest if this helped out please.
what is 74 3/5 + 19 2/3 as a mixed number with the fractional part in lowest terms ?
someone help ASAP
Answers
Answer:
92 1/15
Step-by-step explanation:
74=19=92
3/5 and 2/5
3times 5 is 15
denominator is 15
9-10=1
92 1/15
A volleyball team scored 14 more points in its first game than in its third game. In the second game, the team scored 28 points. The total number of points scored was less than 80. What is the greatest number of points the team could have scored in its first game?
Answers
Answer:
27
Step-by-step explanation:
Let the no. of points scored in third game x
given that
A volleyball team scored 14 more points in its first game than in its third game
Then
no. of points scored in First game = x + 14
no. of points scored in Second game = 28
Total no of points scored in three games = x + x + 14 + 28 = 2x + 42
given that The total number of points scored was less than 80
thus
2x + 42 < 80
2x < 80 -42
2x < 28
x < 14
now we know that x is less than
and since x is point scored it will be integer as point cannot be in fraction
and greatest integer less than 14 will be 13
Thus, greatest point scored in third game will be 13
similarly greatest number of points the team could have scored in its first game will be x + 14 = 13 + 14 = 27
angle is bisected, forming two new angles. If the original angle had a measure of 52° t is the measure of each new angle? Enter the number only. help asap
Answers
The measure of each new angle is 26°
A building has 40 apartments on 5 floors
what is the unit rate?
Answers
Answer:
8 is the right answer
Step-by-step explanation:
because 40 devided by 5 is 8
The knitting club sold 40 scarves and hats at a winter festival and made $700 from the sales. They charged $18 for each scarf and $14 for each hat.
If s represents the number of scarves sold and h represents the number of hats sold, which system of equations represents the constraints of the situation?
Group of answer choices
A. s + h =40
18s +14h = 700
B. 18s +14h =40
s + h =700
C. 40s + h +700
18s + 14h = 700
D. No answer text provided.
Answers
Answer:
A. s + h = 40 18s + 14h = 700Step-by-step explanation:
club sold 40 scarves and hats so the sum of scarves and hats is 40
s + h = 40 - one of equations
They charged $18 for each scarf and $14 for each hat so:
18×s - money made from scarves
14×h - money made from hats
18s + 14h - sum of money made from scarves and hats so:
18s + 14h = 700 - second of equatinons
The system of equations represents the constraints of the situation are s + h = 40 and 18s + 14h = 700.Option A is correct.
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that, the knitting club sold 40 scarves and hats at a winter festival and made $700 from the sales. They charged $18 for each scarf and $14 for each hat.
If s represents the number of scarves sold and h represents the number of hats sold.
The system of equations is as follows,
s + h =40
18s +14h = 700
Thus,the system of equations represents the constraints of the situation are s + h = 40 and 18s + 14h = 700.Option A is correct.
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what is the measure abe
Answers
Answer:
angle ABE is equal to 274/7 degrees which is equal to 39.14285714 degrees
Step-by-step explanation:
Solve for g
-3+5+6g=11-3g−3+5+6g=11−3g
Answers
Answer:
ok the number you have you mulitiply it then you add the number you multipled then you will get you answer
Step-by-step explanation:
hope this works
Answer:
g = 1
Step-by-step explanation:
help asap
solve them all i will mark u brainllest
Answers
Answer: (15) see below (16) 284 (17) option 1 (18) option 3
(19) see below (20) 33 (21) L = 50, w = 10
Step-by-step explanation:
15) 7xy + 3x + 5
↓ ↓ ↓
↓ ↓ 5 is a term with no variable so is a constant
↓ 3x is a term with a coefficient of 3
7xy is a term with a coefficient of 7
Constant Coefficient Term
7 X
3x X
5 X X
16) 12a² - 3 |b| + 2a ; a = -5, b = -2
12(-5)² - 3 |-2| + 2(-5)
= 12(25) - 3(2) - 10
= 300 - 6 - 10
= 294 - 10
= 284
17) 4(k + 5) = -2(9k - 4)
4k + 20 = -18k + 8 Distributed 4 and -2
22k + 20 = 8 Added 18k to both sides
22k = -12 Subtracted 20 from both sides
k = -12/22 Divided 21 from both sides
k = -6/11 Simplified (GCF = 2)
18) V = π r²h
V/(π r²) = h Divided π r² from both sides
19) v = s² + (1/2)sh
v - s² = (1/2)sh Subtracted s² from both sides
2(v - s²) = sh Multiplied both sides by 2
2(v - s²)/s = h Divided s from both sides
1 2 3
subtract s² X
divide by s X
multiply by 2 X
20) F = (9/5)C + 32 ; F = 91
91 = (9/5)C + 32
59 = (9/5)C Subtracted 32 from both sides
295 = 9C Multiplied both sides by 5
32.8 = C Divided 9 from both sides
33 = C Rounded to the nearest whole number
21) Perimeter (P) = 2Length (L) + 2width (w)
Given: P = 120, L = 5w
P = 2L + 2w
120 = 2(5w) + 2w
120 = 10w + 2w
120 = 12w
10 = w
L = 5w
= 5(10)
= 50
Complete the following to check your understanding.
Question 1
What is the "friendliest" fraction to use when estimating 52% of 120?
Answers
-24-3-3n)+1 =
I NEED HELP ASP
Answers
Answer:
−3n−26
Step-by-step explanation:
−24−3−3n+1
=−24+−3+−3n+1
Combine Like Terms:
=−24+−3+−3n+1
=(−3n)+(−24+−3+1)
=−3n+(−26)
Which expression is equivalent to (f9)(5)?
Answers
Answer:
i think it would be fx9x5
Step-by-step explanation:
sorry if its not write
how do solving two step problems with inequalities work?
Answers
equal sides of an isosceles triangle are given as 30 cm each if the perimeter of the triangle is 67 cm,find the third sides
This is due today and I don’t really get it so I need some help!
Answers
I'm not sure if you dont know maybe put C
Which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21?
Select each correct answer.
1. (7, 0)
2. (11, 3)
3. (−3, 3)
4. (−1, −6)
Answers
3(7)-4(0)=21, is CORRECT since 7•3 is 21 and -4•0 is 0
3(11)-4(3)=21 is CORRECT since 3•11=33 and -4•3=-12 so 33-12=21
3(-3)-4(3)=21 is INCORRECT since 3•-3 is -9 and -4•3 is -12, -9-12 is -21
3(-1)-4(-6)=21 is CORRECT since 3•-1 is -3 and -4•-6 is 24 and so 24-3=21
Answer:
1. (7, 0)
2. (11, 3)
4. (−1, −6)
These are correct
The number f of miles a helicopter is from its destination x minutes after takeoff is given by f(x) 60 - 1.5x.
Answers
What is 2/3 divided by 4/5?
Answers
Answer:
5/6
Step-by-step explanation:
Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.
Answer:
5/6
Step-by-step explanation:
Keep the first fraction the same, then flip the second fraction, then multiply
2/3 * 5/4
10/12
simplify: divide numerator and denominator by 2
5/6
Can you guys help me with this, it's due today
Answers
Answer:
i think its D
Step-by-step explanation:
2. The units of density for a rectan-
gular piece of wood are
a. grams per milliliter.
b. cubic centimeters.
c. kilograms per liter.
d. grams per cubic centimeter.
Answers
Answer:
d. grams per cubic centimeter
Step-by-step explanation:
The unit for density is g/cm^3 because the formula for density is mass divided by volume. The standard unit for mass is grams, and volume is cm^3. So by dividing the two numbers, the unit becomes both units divided.
Why do most student loans involve a co-signer?
a.
Most students won’t be able to afford paying for their loans, and leave that responsibility to their co-signers.
b.
Co-signers were most likely college students themselves and understand what it is like to be a college student.
c.
Most students aren’t responsible enough to know much about any type of loans, so a co-signer is there to make sure everything is secure.
d.
Most students are young enough not to have much of a credit score or credit history, so a second party such as a parent or guardian can establish security of payment.
Answers
The correct statement is Most students are young enough not to have much of a credit score or credit history, so a second party such as a parent or guardian can establish security of payment.
What is loan?A loan is the lending of money by one or more individuals, organizations, or other entities to other individuals, organizations, etc.
Students need cosigners in order to qualify for a student loan or student loan refinance. This is because many students don't have an extensive credit history of their own. The other person cosigns the loan application so that the lender will consider their credit and income as well as yours.
Hence, Most students are young enough not to have much of a credit score or credit history, so a second party such as a parent or guardian can establish security of payment.
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Evaluate -(2^-6)(2^3) apex
A.-1 over 8
B. -8
C.1 over 8
D.8
Answers
The evaluation of of the expression -(2⁻⁶)(2³) is - 1 / 8(-1 over 8)
How to evaluate an expression?The expression can be evaluated as follows:
-(2⁻⁶)(2³)
The expression can be evaluated using the law of indices,
[tex](x^{a} )^{b} = x^{ab}[/tex] and [tex](x^{-b} )=\frac{1}{x^{b} }[/tex]
Therefore,
-(2⁻⁶)(2³)
2⁻⁶ = 1 / 2⁶ = 1 / 64
2³ = 2 × 2 × 2 = 8
Hence,
-(1 / 64)(8) = - 8 / 64 = - 1 / 8
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Find the slope of the line through the points (-1,3), and (2,-6)
(PLEASE HELP)
Answers
Answer: slope = -3
Step-by-step explanation:
m = y2 - y1 / x2- x1
m = -6 -3 / 2+1
m = -9 / 3
m = -3
16xy = W Solve for x. I need help
Answers
Answer:
[tex]x = \frac{W}{16y} [/tex]
Step-by-step explanation:
To solve for x, we need to arrive at the equation of x=___.
[tex]16xy = W[/tex]
Divide by 16y on both sides:
[tex]x = \frac{W}{16y} [/tex]
what is the solution of the equation?
14+b=6
Answers
Answer:
b is -8
Step-by-step explanation:
Answer:
b=-8
Step-by-step explanation:
14+b=6
b=6-14
b=-8
Help pleaseeeeee!!! I will give Brainliest
Answers
Answer:
75 cents (.75)
Step-by-step explanation:
It's easier to figure this out if you turn the fractions into decimals.
4 3/4=4.75
5 1/2=5.5
Now, subtract 5.5-4.75.
5.5-4.75=.75
Have an amazing day!! Hope this helps you :3