Answer:
The missing sides are 50 inches and 48 inches long.
Step-by-step explanation:
Let the lengths of the other two sides be x inches and y inches
And let x represent the length of the longest side.
From the question,
The difference between the lengths of the other two sides is 2 inches. That is,
x - y = 2 ...... (1)
The three sides of the right triangle are x, y, and 14 inches long.
From the Pythagorean theorem, " In a right triangle, the square of the longest side equals sum of squares of the other two sides"
Here, the longest side is x
Hence, we can write that
x² = y² + 14²
∴ x² = y² + 196 ...... (2)
Now, we have two equations, we can then solve simultaneously.
From equation (1)
x - y = 2
∴ x = y + 2 ...... (3)
Put this into equation (2)
x² = y² + 196
(y+2)² = y² + 196
y² + 4y + 4 = y² + 196
4y + 4 = 196
4y = 196 - 4
4y = 192
y = 192/4
y = 48
To determine x, we will substitute the value of y into equation (3)
x = y + 2
∴ x = 48 + 2
x = 50
Hence, x = 50 and y = 48
Since the lengths of the other two sides are x inches and y inches,
Hence, the missing sides are 50 inches and 48 inches.
Can someone please answer letter F ? It applies to the question 4 and the graph on the right , it’s not long .
At a certain bookstore, you get a $5 coupon for every 4 books you buy. What is the least number of books you could buy to get $15 in coupons? Show your work.
Answer:
You need to buy 12 books to get a $15 coupon.
Step-by-step explanation:
Giving the following information:
You get a $5 coupon for every 4 books you buy.
First, we need to structure the total coupon formula:
Total coupon= 5*x
x= pack of four books
Now, for $15
15 = 5x
15/5= x
3= x
4*3= 12
You need to buy 12 books to get a $15 coupon.
GUYS HELP ME WITH THIS!!! 13 POINTS AND BRAINLY!! MAKE SURE TO DO STEP BY STEP!!! PLEASEE AND THANK U!!!
Answer: It will take three weeks for them both to have the same amount of money saved.
Step-by-step explanation:
35 + 15x = 5 + 25x
30 + 15x = 25x
30 = 10x
3 = x
What is the cost of making one burrito? (Remember that costs are negative.) Explain how you found your answer.
Answer:
it cost 5.99
Step-by-step explanation:
it all depends on the type of burrito
hurry please!!
You drive a delivery truck. This week, your daily mileage totals were 215, 183, 258, 192, and 75 miles. The standard deviation for the data is 60.6, and the range is 183.
Which measure of center is most appropriate, and what is the value of the measure of center?
mean; 140
mean; 145
median; 192
mean; 258
median; 258
Answer:
Median is 192! because medians are the numbers right in the middle after the numbers are out in numerical order
please help and hurry
Answer:
3,2
Step-by-step explanation:
Mind maps are a great way of
A pizza place charges a flat fee for each pizza and a delivery fee. One customer buys 3 pizzas and pays $41. Another pays $29 for two pizzas.
Write a linear function for this situation (use p for the number of pizzas).
Answer:
Step-by-step explanation:
p=12x+5
Amelia enjoys running and often runs at a steady pace. At this pace, Amelia can run 50 yards in 12 seconds. What is Amelia's unit rate? What is the rate unit?
Answer:
4.16
Step-by-step explanation:
50/12
suppose y varies directly with x, and y=25 when x=140. what is the value of y when x=36
Answer:
[tex]\displaystyle y=\frac{45}{7}[/tex]
Step-by-step explanation:
Direct Proportions
A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:
[tex]\displaystyle \frac{y}{x}=k[/tex]
Where k is a constant.
We know y=25 when x=140, and it's required to find the value of when x=36.
For any pair of values (x,y), their ratio is constant:
[tex]\displaystyle \frac{25}{140}=\frac{y}{36}[/tex]
Multiplying by 36:
[tex]\displaystyle y=36*\frac{25}{140}[/tex]
[tex]\displaystyle y=\frac{900}{140}[/tex]
Simplifying:
[tex]\mathbf{\displaystyle y=\frac{45}{7}}[/tex]
A certain stock has grown continuously from 1980 to 2015. A $10,000 investment in the stock in 1980 would be worth $3,500,000 in 2015. Find the stock's average annual growth rate during this period. Round to the nearest percent.
If a certain stock has grown continuously from 1980 to 2015, for this period of time its average annual growth rate is 18%.
It is given that A certain stock has grown continuously from 1980 to 2015.
Stock's initial value in 1980 (I) = $10,000
Stock's final value in 2015 (F) = $3,500,000
time period t = 2015-1980 = 35 years.
Since, the stock has grown continuously, it should have grown compounded annually.
Stock's average annual growth rate (r) is calculated as:
[tex]\text{r} = {(\dfrac{F}{I})^{\frac{1}{t}}-1[/tex]
Substitute all the given values in the above formula:
[tex]\text{r} ={ (\dfrac{3500000}{10000})^{\frac{1}{35}}-1[/tex]
[tex]\text{r} = {(350})^{\frac{1}{35}}-1[/tex]
[tex]r = (350)^{0.02857142857}-1[/tex]
[tex]r=1.18219102629-1[/tex]
[tex]r=0.18219102629[/tex]
[tex]r=0.18[/tex]
[tex]r\approx 18\%[/tex]
Hence, stock's average annual growth rate during the period of 35 years is 18%.
Learn more about growth rate here:
https://brainly.com/question/12609944
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Given a scale factor of 2, find the coordinates for the dilation of the line segment with endpoints left parenthesis negative 1 comma 2 right parenthesis and left parenthesis 3 comma negative 3 right parenthesis.
A.(2,4) and (6,6)
B. (-2,2) and(6,-3)
C. (-2,4) and (6,-6)
D. (2,-1) and (-3,3
Answer:
i think its answer is option A
Which of the following relations has a domain of {-4, -2, 1}?
Group of answer choices
{(1, 2), (-2, 3), (4, 6)}
{(1, 2), (-2, 2), (-2, 4), (-4, 4)}
None of the other answers are correct
{(-1, 2), (4, 3), (-2, 6), (-2, 3)}
{(1, 2), (-2, 2), (-2, 4), (4, -4)}
Answer:
{(1, 2), (-2, 2), (-2, 4), (-4, 4)}
Step-by-step explanation:
Plz mark as Brainliest!
Find the 13th term of the geometric sequence 7, 21, 63, ...
Answer:3,720,087
Step-by-step explanation: sorry if I’m wrong
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
Step-by-step explanation:
Take the two equations and equal them together (2.35 + 0.25x = 1.75 + 0.40x) 2. isolate x onto one side by canceling out (2.35 (- 1.75) + 0.25x (.25x) = 1.75 (-1.75) + 0.40x (.25x) ) 3. get what X equal (x=4) 4. plug the new value of x (4) into ONE of the equations (2.35 + 0.25(4) ) 5. get your answer (3.35)
Hahshxnxjennshsne did. D d d s s d d d
Answer:
are you okay?
Step-by-step explanation:
Time (seconds)
2
3
4
5
6
Height (cm)
14
21
28
35
42
Answer:
What do you need done?
Step-by-step explanation:
Hannah wants to have $ 7500 to help pay for a new deck in 13 years. If she wants to put her money into an account earning 7% interest compounded continuously, how much should she invest now, so that she will have $ 7500 in 13 years?
Answer:
$ 3,018.93
Step-by-step explanation:
This question is asking us to find the Principal.
Hence, the formula for compound interest that is compounded continuously is :
A = Pe^rt
P = Principal/Initial amount
A = Amount after investment = $7500
r = Interest rate = 7% = 0.07
t = time in years = 13 years
Hence,
7500 = Pe^0.07 × 13
P = 7500/e^0.07 × 13
P = 7500/e^0.97
P = $3018.9316803
Approximately P (The amount that should be invested ) = $3,018.93
Can someone explain this to me pweaseee
Answer:
D. 181.7 miles
Step-by-step explanation:
If the odometer can read to the nearest 0.1 miles, then you don't want to use A because its not as precise. You don't want to use B because its rounded up to the nearest hundreds. You don't want to use C because we don't know whats in the hundredths place, if the odometer only reads to the nearest 0.1 miles then it could be 181.3, or 181.9, we don't know that. Your answer is D.
me being dumb ✌️
The number 93 6_2 is divisible by 4. What are the possibilities for the missing digit?
Answer:
3
Step-by-step explanation:
you can do it sequentially and find a potential solution; when you divide the thing, it looks like this
__2_3_4_0_8________________
4 | 936_2
4
_________
13
12
__________
16
16
-________
0
0
________
32
32
_______
0
Answer:
1, 3, 5, 7, 9
{I guess it's just odd numbers}
Happy Thanksgiving!
Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.
a. y=
b. y=
I really need this pls
Answer:
Step-by-step explanation:
ummm so it doesnt have a y axis...
i think it should be
y=4x which is the parallel
and y= -1/4x which is perpendicular, it doesnt really pass through (4,3) so ot sure what ur teacher wants really
Helllppppppp 25 pointsssss$
Answer:
192x^3y^9
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Find the area of the triangle.
Answer:
1325 yards squared
Step-by-step explanation:
As a reminder, the area of any triangle is the height times the width times 1/2. Therefore, the area is:
50*53*1/2
=25*53
=1325 yards squared
Answer:
The answer is 1325.
Step-by-step explanation:
1825-500=1325
can someone help meWhat is the missing numerator?
blank over seven plus thirteen over fourteen equals one and three fourteenths (20 points)
a
11
b
8
c
5
d
2
Answer:
d 2
Step-by-step explanation:
x/7 +13/14 = 17/14
double the first one so all the denominators are the same
2x/14+13/14=17/14
then subtract the second fraction from the thrid
2x/14=4/14
then we can divide by two so we are back to 7 as the demoninator
x/7=2/7
Addy is buying a new pair of aeropostale jeans for $40. They are on sale for 25% off. what is the sale price of the jeans?
Answer:
Step-by-step explanation:
40*25%= 10 off
40-10= $30.00 sale price
how do u find the sum of (5x-2) + (4x+6)
[tex] \: \: \: \: \: \: \: \: (5x - 2) + (4x + 6) \\ \\ = > 5x - 2 + 4x + 6 \\ \\ = > 5x + 4x - 2 + 6 \\ \\ = > \green{\boxed { 9x + 4}}[/tex]
Answer:
9x+4
Step-by-step explanation:
First, remove the unnecessary parentheses from (5x-2)+(4x+6) making it 5x-2+4x+6 because when there is a + in front of an expression in parentheses, the expression remains the same.
Next, collect like terms, turning 5x-2+4x+6 into 9x-2+6.
Now, calculate the sum and you should get 9x+4.
Rachel has $1,800 to spend on renting a venue for a party. The available locations to rent for the party cost between $660 and $2,500. This cost includes a base cost, plus a set-up fee that is one-fifteenth of the base cost. The total cost can be modeled by the function shown below, where c represents the base cost of renting a venue.
f(c)=c+1/5c
State the domain of values that represents the base cost for the venues Rachel can afford.
Answer:
618.75 to 1687.50
Step-by-step explanation:
Solve for x 12 + x = 27
Answer:
15
Step-by-step explanation:
subtract 12 on both sides and you get
x=27-12
x=15
Answer:
I think your answer is 15
Step-by-step explanation:
Hope this helped you
help me plzzz ;-;" tysm
Answer:
172645 pounds all together
Step-by-step explanation:
Answer:
Maxie eats: 112420 p and Gracie 60225p 308 × 365 ; 165 × 365
Step-by-step explanation:
yw luv ;(
my best friend doesn't know the answer i aaint answering it for him help him help this dumbo
Answer:
5 batches
Step-by-step explanation:
What is the area of a circle with equation (x+2)2+(y-4)2=36?
Answer:
X+Y=20
Step-by-step explanation:
(x+2)2+(y-4)2=36
2x+4+2y-8=36
2x+2y=36+4
X+Y=20
Final answer
X+Y=20