Answers
Answer:
s = 17 units
Step-by-step explanation:
In triangle ABD,
(AB)² + (BD)² = (AD)² (by Pythagoras Theorem)
=> 8² + 15² = s²
=> 64 + 225 = s²
=> s = [tex]\sqrt{289}[/tex]
=> s = 17 units
Hope it helps :)
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Related Questions
What is the value of y = 7 - 2x when
X=4?
When x = 4, y =
Answers
y=7-8=-1=>
x=4;y=-1
y=7-8
y=-1
y is equal to negative 1
PLEASE HELP ME!!!!
Match each radical expression with the equivalent exponential expression.
Answers
3^1/2
2^1/3
3^1/4
2^1/5
Radicals can be written as exponential expression as following:
[tex]\sqrt{3} = 3^{\frac{1}{2}}[/tex]
[tex]\sqrt[3]{2} = 2^{\frac{1}{3} }[/tex]
[tex]\sqrt[4]{3} = 3^{\frac{1}{4}}[/tex]
[tex]\sqrt[5]{2} = 2^{\frac{1}{5} }[/tex]
What is radical?The radical of a number is the same as the root of a number. The root can be a square root, cube root, or in general, nth root.
[tex]\sqrt[n]{x} = x^{\frac{1}{n} }[/tex]
Given radicals,
[tex]\sqrt{3} = 3^{\frac{1}{2}}[/tex]
[tex]\sqrt[3]{2} = 2^{\frac{1}{3} }[/tex]
[tex]\sqrt[4]{3} = 3^{\frac{1}{4}}[/tex]
[tex]\sqrt[5]{2} = 2^{\frac{1}{5} }[/tex]
Hence, Exponential expression for the given radicals are [tex]3^{\frac{1}{2} }, 2^{\frac{1}{3} }, 3^{\frac{1}{4} }, 2^{\frac{1}{5} }[/tex] .
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Find measure of angle TUV and provide explanation. 25 points and will mark brainliest
Answers
Answer:
72°
Step-by-step explanation:
∠TUV = (arc TSV - arc TV) / 2 = ((360-108)-108) / 2 = 144/2 = 72
Solve for A.
BA + C = D
1)A = D-B-C
2)A = (D-C)/B
3)A = (C - D)B
please hurry
Answers
Maria used one bag of flour. She baked
two loaves of bread. Then she used the
remaining flour to make 48 muffins. How
much flour was in the bag when Maria
began?
Answers
Answer:
48 pounds
Step-by-step explanation:
The price of a car was decreased by 40% to £750.
What was the price before the decrease?
Answers
10% = 125
1000% = 1250
Price before decrease is £1250
plz help ill give brainliest for best answers
Answers
Answer:
The least they will have to pay is 235 dollars.
They will have to pay 15 more dollars next year. (250 dollars)
Step-by-step explanation:
25x3=75
40x4=160
75+160=235
25x2=50
40x5=200
50+200=250
Tom's Ice Cream Shop sold 7 sundaes with nuts and 5 sundaes without nuts. What is the ratio of the number of sundaes with nuts to the number of sundaes without nuts?
Answers
Answer:
20 : 28
5 : 7 = 20 : 28. And 7 is a fourth of 28.
The triangle represents a scale drawing that was created by using a factor of One-half.
A triangle with sides lengths of 5 inches.
Which is true of the measures of the sides of the original triangle?
Each side of the original triangle is One-half the length of each side of the scale drawing.
Each side of the original triangle is 2 times the length of each side of the scale drawing.
Each side of the original triangle is the same length as each side of the scale drawing.
Each side of the original triangle is 2 inches shorter than the scale drawing.
Answers
9514 1404 393
Answer:
(b) Each side of the original triangle is 2 times the length of each side of the scale drawing.
Step-by-step explanation:
If the smaller is 1/2 the larger, then the larger is 2 times the smaller. The original triangle's sides are 2 times those of the scale drawing.
Roman and Ranjan each divided 3.56 by 0.72. Roman got 4.94 for his quotient. Ranjan got 0.04 for his quotient. Which student divided correctly? How do you know? P 7•3
Answers
Answer:
Step-by-step explanation:
It’s Roman if you do the math you will get 4.94
How would you know
When doing the math i got the answer 4.94 which that mean ranjan divide wrong
Find the length of x.
Answers
Answer:
5
Step-by-step explanation:
6/4 = 7.5/x
7.5/1.5=5
I need help:(
Find x and y
Answers
X=5.6568 =5.66
You can either do cos 45= y/8 or just use the same value as x because it is an isosceles triangle so x and y are the same length
Please let me know if my answer is right! Thanks!
geometry please please pleaseee help
Answers
Answer:
9 students have braces
Step-by-step explanation:
honestly, you could just probably solve it mentally but we are going to make a proportion.
[tex]\frac{3}{5} = \frac{x}{15}[/tex]
5*3 = 15; so you then multiply 3 by 3 and get 9 as your final answer
Find the markup rate on a 60$ jacket that sells for 75$
Answers
please help i’ll give you brainliest and a thanks ❤️
Answers
2. 2¹
3. 2-¹
4. 2⁰
Answer:
[tex]2^{4} x 2^{-4} ---- 2^{0} \\2^{-4} x 2^{5} ---- 2^{1} \\\frac{2^{4} }{2^{5}} ---- 2^{-1} \\\\\frac{2^{4} }{2^{4}} ---- 2^{0}[/tex]
Step-by-step explanation:
(pretend the x's are multiplication signs)
hope this helps you!
The value of the variable for which the equation is satisfied is called the
___________ of the equation.
Answers
Answer:
solution
Step-by-step explanation:
The value of the variable for which the equation is satisfied is called the solution of the equation.
Consider AWHY below.
Y
h
31
67°
H Η
W
Solve for h. Round your answer to one decimal place.
Answers
73.0
Step-by-step explanation:
tan 67°=O/A=h/31
h=31tan67°
h=73.0
Keith has $500 in a saving account at the beginning of the summer. He wants to have at
least $200 in the account. He withdraws $25 from his account each week for food,
clothes, and movie tickets. ("Withdraws" means he takes money out of his account.)
How many weeks can he withdraw $25 per week and still have at least $200 in the
account?
There’s a second question to this problem:
How many weeks can Keith withdraw $25 per week and still have at least $200 in the account? Write your answer in interval notation.
Answers
Answer:
12 weeks
Step-by-step explanation:
25x = 300
so 25 times what equals 300, or the amount he can spend before going under 200 in his account.
25 (times) 12 = 300
Answer:
12 weeks
Step-by-step explanation:
x=# of weeks
500-25x[tex]\geq[/tex]200
-500 -500
____________
-25x [tex]\geq[/tex] -300
-25 -25
x[tex]\leq[/tex] 12 weeks
Graph the line with the equation y=
- 1/5x + 4
Answers
Step-by-step explanation:
look at the attachment
.....
The graph of the linear equation is plotted and y = ( -1/5 )x + 4
Given data ,
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
On simplifying , we get
y = ( -1/5 )x + 4
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = -1/5
And , the y-intercept of the graph of the line is when x = 0
So , when x = 0
y = ( -1/5 ) ( 0 ) + 4
y = 4
Hence , the equation of line is y = ( -1/5 )x + 4
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A bag contains 77 coins consisting of quarters and nickels. The total value of the coins is $12.50. Write a system of equations that can be used to determine the number of quarters, x, and the number of nickels, y, in the bag. a x + y = 77 0.25x + 0.5y = 12.5 b 0.25x +0.5 y = 77 x + y = 12.5 c x + y = 77 0.25x + 0.05y = 12.5 d 0.25x + 0.05y =77 x + y = 12.5
Answers
Answer:
A
Step-by-step explanation:
because the answer needs both amounts of money and the beginning equation x + y = 77 can't have any other numbers.
i will really appreciate it if you guys could help me out .
Answers
Answer: he owes him 3 cents
Step-by-step explanation:
Answer:
3$
Step-by-step explanation:
you got to do 8 minus 5.
f(x)=3x2+2x−3
g(x)=2x+4
Answers
Answer:
what are we supposed to find here ?
Simplify 5a – (2a + 6)
Answers
Answer:
Step-by-step explanation:
Add '-2a' to each side of the equation.
5a + -2a = -6 + 2a + -2a
Combine like terms: 5a + -2a = 3a
3a = -6 + 2a + -2a
Combine like terms: 2a + -2a = 0
3a = -6 + 0
3a = -6
Divide each side by '3'.
a = -2
Simplifying
a = -2
5a -2a -6
3a -6
Step-by-step explanation:
..........................
1. Kate deposits $2,350 in an account that earns interest at a rate of 1.1%, compounded
monthly. What is her ending balance after 5 years? Round to the nearest cent.
B = P (1+5) "
P =
r =
n =
t =
Answers
Answer:
$454220
Step-by-step explanation:
Given: B = P[tex](1 + \frac{r}{n} )^{nt}[/tex]
But, B is the future amount
P is the present amount = $2350
r is the rate = 1.1%
n is the number of compounding per year = 12
t is the number of years = 5
So that;
B = 2350[tex](1+\frac{1.1}{12}) ^{12*5}[/tex]
= 2350[tex](1.0917)^{60}[/tex]
B = 2350 x 193.2852
= 454220.22
B = $454220
Thus, her ending balance after 5 years is $454220.
Cathy is playing a game with a set of 24 cards equally divided into 4 colors (red, green, blue, and yellow).
Find the probability of her randomly selecting a red card, not replacing it, and then selecting another red card.
A.
image
B.
image
C.
image
D.
image
Answers
Answer:
1/20
Step-by-step explanation:
P(red,red) = 4/16 x 3/15 = 1/4 x 1/5
Answer:
6/24
5/24
Step-by-step explanation:
count how many cards there are(24) then Find out how many red cards there are(4/24=6
Find the equation in slope-intercept form of a line with slope -2 and y-intercept 4.
A. y=-2x B. y=4x-2 C. y=2x-4 D. y=-2x+4
Answers
Answer:
D. y=-2x+4
Step-by-step explanation:
Which equation shows that y varies directly with x?
y = 0.8x
y = 0.8x/x
y = 0.8x - 5
y = x/8 + 5
Answers
ummm i think so. yea because y is only going to x ig
Are these terms alike or unlike: 2xy and 2xyz
Answers
Answer:
Unlike
Step-by-step explanation:
When it comes to like terms, the numbers must have the same ending variable, 2xy and 2xyz do not have the same ending variable, which seeing it, one ends with 2xy and the other with 2xyz. Therefore these terms are not the same and the answer is unlike.
Answer:
unlike
Step-by-step explanation:
this is bc 2xy does have a z while 2xyz does
You can buy 5 cans of beans at the Village Market for $3.20. You can buy 10 of the same cans of beans at Sam’s Club for $7.30. Which place is the better buy?
Answers
Answer:
Village Market
Step-by-step explanation:
3.20÷5=.64
7.30÷10=.73
2/5 divided by 4 and reduce the answer
Answers
Answer:
1/10 i guess
Step-by-step explanation:
2/5=0.4
0.4/4=0.1
0.1=1/10 (one tenth_
Answer:
1/10
Step-by-step explanation:
2/5 ÷4 is the same as 2/20, which is 1/10