Answers
By examining this image:
⇒ we see a right triangle made up of sidelength of h, 8, and 17
⇒ we know this is a right triangle because there is a little square
⇒between lines of length 8 and h
⇒ which indicates this angle is 90 degrees
⇒ which indicates we have a right triangle
Since we have a right triangle
⇒ we can use the Pythagorean Theorem
Definition of Pythagorean Theorem: square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.*look at the image attached for a better explanation
Now let's form an equation (based on the Pythagorean Theorem)
[tex]h^2 + 8^2 = 17^2\\h^2 = 17^2- 8^2h^2 = 289 - 64 = 225\\h^2 = 225\\h = 15[/tex]
Thus h = 15cm
Hope that helps!
Related Questions
Sophia is 12 years old. Her Uncle Reynald tells her that if she adds 5 to her age, multiplies the sum by 3, and then subtracts 4 from the product, she will find his age. She tells him that his age equals the expression 12 + 5 × 3 − 4 . Is Sophia correct? Choose the correct answers from the drop-down menus. Sophia is incorrect/correct . Her uncle’s actual age is 24/35/47/51
Please help! Btw the / means or
Answers
Answer:
1) 24 of age
Step-by-step explanation:
Sophia's uncle Reynald is 24 years old
12+(5×3)-4
12+15=27-4=23
But the only closest option to the sum is 24.
The sum to this word problem is 24.
Answer:
Sophia's expression is incorrect because of the rule of equation telling you to multiply first and then subtract. the correct expression is (12+5)3-4 which would equal to 47
Step-by-step explanation:
What is 1/-7 as a whole number? Fast! please!
Answers
Answer:
I think this is correct.
Step-by-step explanation:
1/-7 = -0.14285714285714
If you round it to the nearest hundredth, it will be -0.14.
I hope you meant negative :)
Given a right triangle with a leg of 8 and a hypotenuse of 17, what is the length of the other leg?
Answers
where a, b are the sides of the right triangle and c is the hypotenuse
82 + x2 = 172 where x is the other side
x2 = 172 - 82
x2 = 289-64
x2 = 225
x = √225
x = 15
Answer:
a
Step-by-step explanation
bc the legs have 2 b shorter than the hypotenuse
write the equation for each translation of the graph of y=| 1/2x-2|+3
One unit up
one unit down
Answers
The equation for each translation of the graph of y=| 1/2x-2|+3 is
g(x)=| 1/2x-3/2|+3.
Given that,
[tex]y=| 1/2x-2|+3[/tex]
Translate the above one unit to the left
Replace y with f(x)
[tex]f(x)=| 1/2x-2|+3[/tex]
What is the meaning of translation?A translation is a movement of the graph either horizontally parallel to the -axis or vertically parallel to the -axis.
When an absolute function is translated to the left, the resulting function is,
[tex]g(x)=f(x-h)[/tex]
Because it is been translated 1 unit to the left, h = -1
[tex]g(x)=f(x-(-1))[/tex]
[tex]g(x)=f(x+1)[/tex]
Now we calculate f(x+1)
[tex]f(x+1)=| 1/2(x+1)-2|+3[/tex]
[tex]f(x+1)=| 1/2x+1/2-2|+3\\f(x+1)=| 1/2x+1-4/2|+3\\[/tex]
[tex]f(x+1)=| 1/2x+(-3)/2|+3\\\\f(x+1)=| 1/2x-3/2|+3[/tex]
We have,g(x)=f(x+1)
[tex]g(x)=| 1/2x-3/2|+3[/tex]
To learn more about the translation visit:
https://brainly.com/question/1046778
Please help i have been struggling with this
Answers
Answer:
When put into a decimal, the answer is 0.09 recurring.
Step-by-step explanation:
Divide the numerator by the denominator to convert a fraction to a decimal. The entire number stays to the left of the decimal when there is a mixed number.
Given the function f(x)=5x+4, find f(x-2)
Answers
Answer:
5x - 6
Step-by-step explanation:
f(x) = 5x + 4
f(x-2) = 5(x -2) + 4
f(x-2) = 5x - 10 + 4
f(x-2) = 5x - 6
I hope this helps!
Answer:
5x - 6
Step-by-step explanation:
Plug in x-2 to the function:
f(x - 2) = 5(x - 2) + 4
= 5x - 10 + 4
= 5x - 6
Use the number line to answer the question
Answers
For what value of k will the following linear system have infinitely many solutions?
2a+b=-6, 6a+kb=-18
Answers
Answer:
K = 3
Explanation given below in the image,
I hope my answer helps you.
A basket contains the following pieces of fruit: 3 apples, 4 oranges, 4 bananas, 2 pears, and 3 peaches. Jonas picks a fruit at random and does not replace it. Then Beth picks a fruit at random. What is the probability that Jonas gets an orange and Beth gets a peach?
Answers
Answer:
Probability that Jonas gets an orange is 1/4 and Beth gets a peach is 3/16.
Step-by-step explanation:
Here,
The total number of fruits n(S) = 3 + 4 + 4 + 2 + 3
= 16
The total number of oranges n(O) = 4
The total number of peas n(P) = 3
Now,
P(O) = n(O)/n(S)
= 4/16
= 1/4
Again,
P(P)= n(P)/n(S)
= 3/16
negative number on a number line 2
Answers
Answer:
point d is correct answer
To rent a car, company A charges $55 per day and 33 cents per mile. Company B charges no daily fee, but 55 cents per mile. How many miles must you drive for Company B to cost the same as company A?
please show your work
and give the answer
Answers
Answer:
about 101 miles to equal the same amount as place A. (if this is daily")
Step-by-step explanation:
so how I went about this is first I added 55+0.33 because thats how much you need to drive one mile for one day with place A. and that equaled 50.30 so then I divided 50.30 by 0.55 because thats all it costs per mile for place B so I got 100.545454545 so i just rounded it up to 101
i hope im right plmn;)
Answer:
no they are not the same tax or rate because 33 cents off is company B
Step-by-step explanation:
88 cents for company A and 55 cents for company B
and company A charged a fee of 33 cents but company B did not
A bakery's specialty flour is a mixture of almond and coconut flour. The ratio of almond flour to coconut flour is 7:38 by volume. If a backery uses 180 cups of the flour mixture in a day, what is the volume, in cups, of the almond flour used?
Answers
According to the question,
The ratio of almond flour to coconut flour is 7:38
so,
the volume of the almond flour used in a day ,in terms of cups would be
[tex] \rightarrow \frac{180 \times 7 }{7 + 38} \\ [/tex]
[tex] \rightarrow \frac{1,260 }{45} \\ [/tex]
[tex] \rightarrow28[/tex]
hence ,28 cups of almond flour would be required to meet the need to prepare the mixture for a day.
______________________________________
volume of coconut flour required in a day ,in terms of no. of cups would be
[tex] \rightarrow \frac{180 \times 38 }{7 + 38} \\ [/tex]
[tex] \rightarrow \frac{6,840 }{45} \\ [/tex]
[tex] \rightarrow152[/tex]
hence ,152 cups of coconut flour are required to make the mixture.
_______________________________________
verification↷Given that,
The ratio of almond flour to coconut flour is 7:38
7:38 = 28:152
7:38 = 7 :38
LHS = RHS
hence , verified ✓
Let almond be 7x and coconut be 38x
ATQ
7x+38x=18045x=180x=4cupsTotal almond cupls=4(7)=28cups
Matthew has 9 feet of board. He wants to cut it into 12 equal pieces. Find the length of each piece.
Answers
Answer:
0.75 ft or 9 in.
Step-by-step explanation:
9 ft / 12 = 0.75 ft
0.75 ft × 12 in. / ft = 9 in.
Answer: 0.75 ft or 9 in.
9 feet
to find:when divided equally, the length of each piece.
solution:9/12
when simplified= 3/4
in decimal form= 0.75ft
so, the length of each piece is 0.75ft.
5pts and the person who has the correct answer gets brainliest
Answers
Answer:
4
Step-by-step explanation:
The one that weighs the less is 80
Pls give brainlest.
Answer:
EAsy 4
Step-by-step explanation:
pls help me this is so frustrating
Answers
Answer:
x = 60°
Step-by-step explanation:
m∠EGD = m∠BGF = x°
The following m∠EGD, m∠DGC, m∠EGA lies on a straight line.
A straight line has total 180° interior angle.solve:
m∠EGD + m∠DGC + m∠EGA = 180°x + 90° + 30° = 180°x + 120° = 180°x = 180° - 120°x = 60°I can't figure this out
Answers
For finding the surface area of the entire cylinder, we need to use the proper formula which is [tex]SA = 2 \pi r h + 2 \pi r^2[/tex]. Since the problem already gives us the radius and height, we can easily plug in the numbers. The equation should now look like this: [tex]SA = 2 * 3.14*3*6 +2*3.14*3^2[/tex].
After multiplying and adding all the numbers in the formula, we get a surface area of 169.56 yards squared.
For the lateral surface area, we can just subtract the [tex]2 \pi r^2[/tex] part from the formula.
[tex]SA = 2 * 3.14* 3 *6[/tex], which is 113.04 yards squared for the lateral surface area.
Total = 2pi x r x h + 2pi x r to the power of 2
Lateral = 2pi x r x h
For total it would be 2 x pi x 3 x 6 + 2 x pi x 3 to the power of 2 ( pi = 3.14)
For lateral it would be 2 x pi x 3 x 6
Just put that in the calculator and you’ll get your answer
Btw r = radius and radios is the half of something so if you see the line on the base go all the way you know it’s the diameter and not the radius so you would have to divide it by 2 to get your radius.
Total = 131.88
Lateral = 113.04
The red figure is similar to the blue figure. Describe a sequence of transformations
in which the blue figure is the image of the red figure.
(just one sequence needed)
*WILL GIVE BRAINLIEST TO THE CORRECT ANSWER*
Answers
Answer:
3/8 is blue because since 5/8 is red there is only 3/8 left of the figure so it has to be 3/8 blue
Step-by-step explanation: TYYYYYYY
Sketch a graph of the function g(x)=(x-3)²-4. What is the range of g(x)?
Answers
Answer:Find where the expression
is undefined.
List all of the vertical asymptotes:
This is what your graph would look like:
Still stuck? Get 1-on-1 help from an expert tutor now.
Step-by-step explanation:
Marla wanted to train to run a 6 mile race. How many days did it take her to reach 6 miles?
She reached her goal on the 26th day.
She reached her goal on the 29th day.
She reached her goal on the 30th day.
She reached her goal on the 27th day.
Answers
Given the distance Maria ran each day, the total distance she ran during a fifteen ( 15 ) days strech is 55.5miles.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
Expression for the Total of Distance ran by Maria
Total distance = Distance ran each day × Number days
Given the data in the question;
Distance ran each day by Maria Dm = 3.7miles
Number days ran n = 15days
Total number of distance ran by Maria TDm = ?
Total distance = Distance ran each day × Number days
TDm = Dm × n
We substitute in our values
TDm = 3.7miles × 15
TDm = 55.5miles
Given the distance Maria ran each day, the total distance she ran during a fifteen ( 15 ) days strech is 55.5miles.
Learn more about multiplication here:
brainly.com/question/2610134
#SPJ7
complete question:
Marla ran 3.7 miles a day for 15 days straight. How many miles did Marla run altogether during the 15 day stretch?
(2016 Q9 ) Which two expressions are equivalent?
Answers
Answer:
C
Step-by-step explanation:
C has the only two equivalent expressions.
Answer C
PS. If wrong let me know. If not, five stars, thanks and Brainliest would be great. Glad I could help
Name one reason thats makes a number Irrational?
Answers
Answer:
Step-by-step explanation:
A number is irrational if:
-it cannot be written as a ratio of two integers
-the decimal part goes on forever without repeating
-is a real number that is not rational
plsplsplsplspslpslpslpslpslpslpspslsplsplsplsplsp helphelphelphelp mememememem
Answers
Two expressions are shown below
P: 2(3x-9)
Q: 6x-9
Part A
Apply the distributive property to write an expression that is equivalent to expression P.
Answers
Answer:
2(3x-9)=6x-9 Distribute
6x-18=6x-9 combine like terms
- 6x -6x cross 6x
+18 +18 add 18+-9
-----------------------
x=9
The high score for a video game is 36,480. Your current score is 34,280. Each dragonfly you catch is worth 1 point. You also get a 1000-point bonus for reaching 35,000 points. Select an inequality that represents the number d of dragonflies you must catch to earn a new high score. Then solve the inequality.
Which one is right?
Answers
Answer: Correct me if I am wrong, but since you chose the middle answer I will be awnsering that one
you will need to catch 1,000 more dragonfly so it will look like this
34,280 + 1000d + 1000 > 36,480
I will give brainliest !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Coordinates of Point A = (4, 6)
Coordinates of Point B = (2, 9)
Coordinates of Point C = (0, 4)
The coordinates of Point D are (7, 3). Allie accidentally swapped the x and y coordinates around.
Step-by-step explanation:
A pair of coordinates look like this: (x, y).
The x values are on the bottom axis.
The y values are on the left axis.
The y-axis points up and down.
The x-axis points left and right.
answer all 3 for brainliest
Answers
What is the slope of the table.
Answers
Answer:
slope is -5
Step-by-step explanation:
The formula for slope is:
m = (y2 - y1)/(x2 - x1)
m = slope
y2 = y-coordinate of second point
y1 = y-coordinate of first point
x2 = x-coordinate of second point
x1 = x-coordinate of first point
We can choose our first and second points as any points on the table, but we will choose the first andd second points which are (-5,10) and (-3,0).
y2 = 0
y1 = 10
x2 = -3
x1 = -5
m = (0-10)/(-3-(-5))
m = (-10)/(-3+5)
m = (-10)/(2)
m = -5
PLS HELP I WILL CHOOSE BRAINLIEST
Answers
Explanation:
because your using the formula y=max+b
b=the y-intercept
What value of x makes the equation 4x + 5 = 11 true?
Answers
Answer:
D
Step-by-step explanation:
If we plug in D, we get 4(3/2) + 5 = 11.
4(3/2) + 5 = 11
12/2 + 5 = 11
6 + 5 = 11
11 = 11
Therefore,the answer is D.
First, rewrite 23/25 and9/10 so that they have a common denominator.
Then, use <, =, or > to order 23/25 and 9/10.
Answers
Answer:
The lowest common multiple of 10 and 25 is 50, so set that as the denominator.
9/10=45/50 (multiply by 5)
23/25=46/50 (multiply by 2)
46/50 > 45/50 therefore
23/25 > 9/10.
Hope this helps :)
Step-by-step explanation:
