Answer:
The side lengths are 5, 12, 13
Step-by-step explanation:
These are the side lengths we know before we have solved the problem.
a= x b= x+7 c= 13
If we put this into the Pythagorean theorem, we get
[tex]13^{2} = x^{2} +(x+7)^{2}[/tex]
Expand
[tex]169 = 2x^2+14x+49\\[/tex]
Subtract 169 from both sides
[tex]0 =2x^2+14x-120[/tex]
Solve using the quadratic formula
a= 2 b= 14 c= -120
[tex]\frac{-14\pm \sqrt{14^2-4\cdot \:2\left(-120\right)}}{2\cdot \:2}[/tex]
[tex]x= \frac{-14\pm \:34}{2\cdot \:2}[/tex]
If we separate the solutions we get
[tex]x= \frac{20}{4} = 5[/tex]
and
[tex]x= \frac{-48}{4} = -12[/tex]
Since this is a question about length, we can ignore the negative.
So the longer leg is 12ft and the shorter leg is 5ft
The shorter length is 5feet and the longer length is 12 feet
Let the shorter leg = x
Let the longer leg = x+7
Therefore,
x² + (x+7)² = 13²
x² + x² + 14x + 49 = 169
Collect like terms
2x² + 14x + 49 - 169 = 0
2x² + 14x - 120 = 0.
Divide by 2
x² + 7x - 60
By using quadratic equation
x² + 12x - 5x - 60
x(x + 12) - 5(x + 12)
Therefore, x - 5 = 0
x = 0 + 5.
x = 5
The shorter length is 5ft
Longer length = 5+7 = 12 feet
Read related link on:
https://brainly.com/question/19574344
Write the word or phrase that best completes each statement or answers the question.
Answer:
She can give it in 1- ways
which expression represents"divide the sum of x and 2 by 4"?
Answer:
Step-by-step explanation:
pix
The angle of elevation from a pothole to the top of a lamp post is 33°
33°. The horizontal distance from the pothole to the base of the lamp post is 44 feet. How tall is the lamp post?
a) 28.6 ft
b) 23.9 ft
c) 67.8 ft
d) 55 ft
Answer:
a) 28.6ft
Step-by-step explanation:
tan(33)= x/44
x/44= tan(33)
x/44=.65
x= 44* .65
x= 28.6
Ruben is touring New York City with his family. They want to visit the Empire State Building, Central Park, and Times Square before their dinner reservations at 8:00 P.M. They want to spend 1 hour and 30 minutes at the Empire State Building, 3 hours in Central Park, and 45 minutes in Times Square. What is the latest time Ruben's family can start their tour in order to make it to dinner on time?
Include A.M. or P.M. in your answer Please help ASAP!!!
Answer: 2:45 pm
Step-by-step explanation:
Find the length of the tour;
90 minutes at Empire State
180 minutes in Central Park
45 minutes in Times Square
= 90 + 180 + 45
= 315 minutes
= 5.25 hours
= 5 hours 15 minutes
Dinner Reservation is at 8.
Latest time they can start is;
= 8 - 5.25 hours
= 2.75
= 2 hours 45 minutes
= 2:45 pm
Helllppppppppppppppppp
Answer:
B) 5
Step-by-step explanation:
a(x)=1/9(90-x)
x=45
1/9(90-45)
1/9(45)
5
Hope this helps plz hit the crown :D
Answer:
The value of h(45) ⇨ 5 | B Choice.
Step-by-step explanation:
[tex]h(x)=\frac{1}{9}(90-x)[/tex]
⟺ Find the value of h(45), substitute x = 45 in h(x)
[tex]h(45) = \frac{1}{9}(90-45)\\h(45)=\frac{1}{9}(45)\\h(45)=5[/tex]
Thus, the answer is 5.
Tommy is using a bucket to collect nuts from a nut tree. He then dumps the bucket into a barrel for shipping of the nuts. He notices that 1 over 4 bucket of nuts fills 2 over 3 of the barrel.
Part A: Write and solve an equation to find the amount of nuts that will fill the entire barrel. Show your work. (8 points)
Part B: Explain your answer in words. (2 points)
Your answer:
Answer: you need 3/8 buckets of nuts to fill the barrel.
Step-by-step explanation:
I will find the equation and explain it with words at the same time, so it is easier to understand.
We know that:
1/4 buckets of nuts, fills 2/3 of the barrel.
Then we can write the equation:
(1/4) buckets of nuts = (2/3) of the barrel
We want to have a one in the right, which will mean that the barrel is complete, then we can multiply both sides by 3/2
(3/2)*(1/4) buckets of nuts = (3/2)*(2/3) of the barrel.
3/8 buckets of nuts = 1 of the barrel.
This means that you need 3/8 buckets of nuts to fill the barrel.
.........................
Answer:
Good thanks for points hehe
Of the relations graphed below, three are functions and one is not.
Which of the relations is NOT a function?
a. Graph A
b. Graph B
c. Graph C
d. Graph D
Answer:
Graph B
Step-by-step explanation:
the line is at some point perpendicular to the y-axis, there is no unique y value for this x value, which contradicts the definition of a function.
Help me on this questionnnn
Answer: 2,3,5
Step-by-step explanation:
5. The weight of 1 bag of sugar is 12.5 kg. What is the weight of 15 such bags?
Answer:
187.5
Step-by-step explanation:
Answer:
187.5
Step-by-step explanation:
The reason is because I just did the math and I am pretty sure this is right please give me brain list
What is 8x-7-2x-2 simplified
Answer:
6x-9
Step-by-step explanation:
Answer:
6x - 9
hope this helped!! :D
what is the value of the digit 2 in 92153
Answer:
thousand is the correct answer :)))
28/x+4=11 Please help soon
Answer:
how soon tho
Step-by-step explanation:x= 4
Part A
If she spends 3x + 5 dollars on the first order of light bulbs, which of the following represents how much she spends on the second order?
A. 10x + 18
B. 4x + 8
C. 21x + 65
D. 10x + 8
Part B
If the store owner spent a total of $90 on both orders, how much does a box of light bulbs cost in dollars?
Answer:
B
11 dollars
Step-by-step explanation:
7x+13 is the sum of the two order
you know that one order is 3x+5, so if you subtract it from the total you get the other order
7x+13-(3x+5) =7x+13-3x-5 = 4x+8
if he spent 90 dollars in total then we can say that
7x+13 = 90
7x=77
x=11
11 dollars per box
Step-by-step explanation:
Is this true or false? 0 < -2 Answer fast pls
Answer:
False
Explanation:
It's actually 0 > -2
In kite ABCD, BE = –x + 6 and ED = 0.5x. Determine the value of x in the kite shown. Question 2 options: A) x = –12 B) x = –3 C) x = 4 D) x = 9
Answer:
4
Step-by-step explanation:
–x + 6 = 0.5x
–(4) + 6 =.5(4)=2
-x-.5x=-6
-1.5x=-6
X=4
Answer:
x=4
Step-by-step explanation:I took the test
i. what is sec (17pi/3)
Answer:
1.05
Step-by-step explanation:
example sec x=1/cos x
sec(17pi/3)=1/(cos (17pi/3))=1.05029(type on calculator)=1.05
Hope it helps
You order pizza on Door Dash. It costs $39. Sales tax is 7% and you want to leave 20%
for tip. What is the total cost including the sales tax and tip? (HINT: regular price + sales
tax + tip = total cost
Answer:
$47.4
Step-by-step explanation:
prize = $39
sales tax = $7
total cost = x
tip = 20% of the tax
tip = 20% of 7
=$ 1.4
total cost = 39 +7+ 1.4
= $47.4
Answer:
$49.53
Explanation:
Convert 7 % to a decimal.
0.07 x 39Multiply 0.07 by 39 .
2.73Repeat, but with 20%.
7.8Add the tax and tip to the original price:
39 + 2.73 = 41.73
41.73 + 7.8 = $49.53
PLS HELP ME
It takes Li 1 hour to drive 65 miles, 2 hours to drive 130 miles, and 3 hours to drive 195 miles. How many miles can he drive in 5 hours?
Answer:
310
Step-by-step explanation:
65 x 5
Tina's plans to make wooden fences To put heard to triangle art pieces In
How much wood would she need for triangle DFG
Answer:
54 feet.
Step-by-step explanation:
Consider AB and DF. FD is 3 times the size of AB
So if AC = 7 then DG = 3* 7 = 21
The total Perimeter = 15 + 18 + 21 = 54 feet
Answer:
well if the triangle are both equal comparisons just ones a different size then the unknown hunches of the bigger side would probably be 21 so if u add the 15 + 18 + 21 = 54 I think sorry if I'm wrong tho
D
E
F
Using the Pythagorean Theorem, which of the following is true?
Answer:
D
Step-by-step explanation:
If 30% of all the people at the carnival are on a ride, how many people are on a ride?
Answer:
165
Step-by-step explanation:
30% x 550= 165
Please help if possible due today thank you so so much!!
10points!❤️❤️❤️
A teacher asked her students how many pets they own. Here are the results:
The answer would be B. In the sequence;
0,0,1,1,1,1,2,2,2,3,4,4,8
Zero is mentioned twice, and if you take a glance at the other plots, they all have 3 dots above them, whereas answer choice B has 2 which is what we’re looking for.
1. 4/5 - 1/6
2. 3/10 - (-1/4)
3. -2/3 + (3/4 + 5/3)
Find the area of the triangle.
PLEASE HELP ASPA
Answer:
(B). 12.9 cm²
Step-by-step explanation:
a = 8 cm , b = 5 cm , c ≈ 12.259 cm
P = 25.259 , s = P/2 ≈ 12.63
[tex]A_{ABC}[/tex] ≈ 12.856 ≈ 12.9 cm²
Help asap if you get it right ill give 30 points no cap. Zach created a blueprint using only similar parallelograms.
Which statement about the parallelograms must be true?
The parallelograms have corresponding angles that are not congruent.
The parallelograms have corresponding sides that are congruent.
The parallelograms have proportional corresponding sides.
The parallelograms all have congruent sides and angles.
Answer: Hello!
Step-by-step explanation:
Your answer would be D :)
One equation in a system of linear equations is y=2x+1
a. write a second equation so that (1,3) is the only solution of the system
b. Write a second equation so that the system has infinitely many solutions
c. Write a second equation so that the system has no solutions
would appreciate answers
Answer:b
Step-by-step explanation:
A druggist needs to prepare 100ml. of a 10% solution. She has available only a 5% and a
25% solution. How much of each should she use to prepare the desired solution?
Answer:
25 milliliters of 25% solution and 75 milliliters of 5% solution should be used.
Step-by-step explanation:
Since the druggist has to prepare 100 ml of a 10% solution, but has only 5% and 25% solutions, to determine the proportion of each solution that he must use to prepare the solution with the desired percentage, it is necessary to perform the following calculation:
25 x 1 + 5 x 0 = 25
25 x 0.9 + 5 x 0.1 = 23
25 x 0.8 + 5 x 0.2 = 21
25 x 0.7 + 5 x 0.3 = 19
25 x 0.6 + 5 x 0.4 = 17
25 x 0.5 + 5 x 0.5 = 15
25 x 0.4 + 5 x 0.6 = 13
25 x 0.3 + 5 x 0.7 = 11
25 x 0.2 + 5 x 0.8 = 9
Therefore, the percentage that the druggist must use will be between 20% and 30% of the 25% solution, and between 70% and 80% of the 5% solution, that is:
25 x 0.25 + 5 x 0.75 = 10
Therefore, the druggist should use a 25% solution at 25%, and a 75% solution at 5%: Thus, since 100 x 0.25 is equal to 25, 25 milliliters of 25% solution and 75 milliliters of 5% solution should be used.
Please help solve this
Answer: ∞
Step-by-step explanation: First, find the indefinite integral F (x), and then evaluate F (∞)–F(– ∞).
What is the equation of parabola
Answer:
2
Step-by-step explanation:
Answer:
Step-by-step explanation:
so the equation of the parabola is (y - mx - b)^2 / (m^2 +1) = (x - h)^2 + (y - k)^2.