9514 1404 393
Answer:
? = √87 ≈ 9.33
Step-by-step explanation:
The square of the hypotenuse (h) of the small triangle is the sum of the squares of its legs.
h^2 = 5^2 + 12^2 = 25 +144 = 169
The square of the hypotenuse of the large triangle is also the sum of the squares of its legs.
h^2 +?^2 = 16^2
169 +?^2 = 256
?^2 = 256 -169 = 87
Taking the square root, we find the missing leg length to be ...
? = √87 ≈ 9.33
A coat and a pair of boots are on sale for 20% off. The regular price of the coat is $225. The regular price of the
boots is $130.
Find the sale price of the coat.
a
$175.99
b
$200
$355.99
С
d
$180
Answer:
180
Step-by-step explanation:
225 X .80 (100%-20%)
solve the following Linear equation
Answer:
The answer is -21
Step-by-step explanation:
0.5(5 - 7x) = 8 - (4x + 16)
2.5 - 3.5x = 8 - 4x - 16
3.5x - 2.5 = 4x - 8 + 16
3.5x - 4x = 2.5 - 8 + 16
-0.5x = 10.5
x = 10.5/(-0.5)
x = -21
Thus, The answer is -21
-TheUnknownScientist
Step-by-step explanation:
[tex]\huge\mathcal\pink{here's your solution} \\ \\ 0.5(5 - 7x) = 8 - (4x + 16) \\ \\ 2.5 - 3.5x = 8 - 4x - 16 \\ \\ - 3.5x + 4x = - 8 - 2.5 \\ \\ 0.5x = 10.5 \\ \\ x = 10.5 \div 0.5 \\ \\ x = 21 \\ \\ \huge\mathfrak\purple{hope \: it \: helps..}[/tex]
This dot plot is not symmetric, and the data set has two
extreme values.
Which of these measures is the best measure of variability for the dot plot?
A. Mean
B. Interquartile range (IQR)
C. Mean absolute deviation (MAD)
D. Median
Answer:
b
Step-by-step explanation:
it says range and that varies and is different so it hold the most variability I think
=
Each box contains one dozen donuts.
Enter an expression to model the number of donuts in b boxes.
Answer:
12B
Step-by-step explanation:
B = number of boxes
12 donuts per box, multiply 12 by number of boxes to find total donuts.
PLEASE HELP ME WITH THIS!!!
Answer:
r = 9 units
Step-by-step explanation:
[tex] In\: \odot O, [/tex] QP is tangent at point P and OP is radius.
[tex] \therefore OP\perp QP[/tex]
[tex] \therefore m\angle OPQ = 90\degree [/tex]
So, [tex] \triangle OPQ[/tex] is a right angled triangle. Hence, OQ will be its HYPOTENUSE such that OQ = r + 32
Now, by Pythagoras theorem:
[tex] OQ^2 = OP^2 + PQ^2 [/tex]
[tex] \therefore (r + 32)^2 = r^2 + (40)^2 [/tex]
[tex] \therefore\cancel {r^2} + 64r + 1024 = \cancel {r^2} + 1600 [/tex]
[tex] \therefore 64r = 1600-1024 [/tex]
[tex] \therefore 64r = 576 [/tex]
[tex] \therefore r = \frac{576}{64}[/tex]
[tex] \therefore r = 9[/tex]
If you bike 8 miles south and then 6 mlles east, what is the distance you are from your starting point?
Answer:
14 miles
Step-by-step explanation:
because this is just asking for distance and not displacement, we will just add up the raw numbers and call it a day.
Total distance = 8 + 6 = 14 miles
the population of a town is 9,000, and it grows at a rate of 7% per year. what will the population be in 6 years?
Answer:
w
Step-by-step explanation:
m
Answer:
population=12780
Step-by-step explanation:
7% of 9000 is 630
630 times 6 is 3780
9000 plus 3780 is 12780
8) If you go out to eat with 3 friends and your meal was $72.50, there is 8% sales tax and you should tip the waiter 15%. How much should each person pay?
Tax $ __________
Total meal cost __________
Tip $ __________
Total cost of meal with tip __________
Price for each person __________
Answer:
-7/8 or 1/2 in simplest form
Step-by-step explanation:
Answer this so i can get a good math grade
Answer:
64 degrees is the answer
hope it helpedSolve for x.
can someone answer this please
What is the distance between the following points?
Answer:
[tex]\sqrt{85}[/tex] or 9.21954
Step-by-step explanation:
Use the distance formula to determine the distance between the two points.
[tex]d = \sqrt{(x_{2} -x_{1})^{2} + (y_{2} - x_{1})^{2} }[/tex]
d = distance
[tex](x_{1}, y_{1})[/tex] = coordinates of the first point
[tex](x_{2}, y_{2})[/tex] = coordinates of the second point
Please help will mark brainliest
Answer:
The answer is 36.9
Step-by-step explanation:
help me pls! i'll mark u brainliest promised
Answer:
DF≅YZ
angle R≅angle N
XW≅TH
angle M ≅angle C
new coordinate=(2,1)
new coordinate=(0,2)
Reflection:
new coordinate=(5,-6)
new coordinate=(1,4)
Last one is already done
Step-by-step explanation:
square & cube numbers puzzle
| Using only square and cube numbers less than or equal to 100, can you fill in the circles to make these
| sums true? You can only use each number once and you must use all the numbers.
36) + (64
Square and cube numbers
Answer:
who friendhjcicivigigivigigogogig'g
plzzzz help.
plzzz plzzzz plzzz plzz help.
Answer:
113040.cm3
Step-by-step explanation:
the volume of air that beach ball hold will hold is
113050cm3.
I hope help you.
9. please please help me out ill mark you brainlist
Answer:
C. The scale factor is less than one.
Step-by-step explanation:
By definition, similar triangles have equal angles and proportional corresponding side lengths. Thus, A, B, and D are all mutually exclusive, leaving C the only possible answer. Upon further inspection, the scale factor is indeed greater than one (each side length is scaled by a factor of two, which is large than one)
A spinner has 8-equal sections. Six of the sections are green. What is the probability that the spinner will land on green?
Answer:
3/4
Step-by-step explanation:
To find the probability of landing on green, we have to divide the number of sections that are green by the total number of sections
we have this as:
6/8 = 3/4
Will give you 5 stars plus a cookie of your choice
Answer:
Translation
Step-by-step explanation:
what is the slope between the points (-3,-4) & (7,6)
Answer:
The slope is 1 I believe.
Answer:
The Slope is 1
Step-by-step explanation:
Slope (m) =
ΔY
ΔX
=
1
1
= 1
θ =
arctan( ΔY )
ΔX
= 45° =
1
4
π
ΔX = 7 – -3 = 10
ΔY = 6 – -4 = 10
Distance (d) = √ΔX2 + ΔY2 = √200 = 14.142135623731
Equation of the line:
y = x – 1
When x=0, y = -1
When y=0, x = 1
Which expression is equivalent to ((32)4)3?
Answer:
D
Step-by-step explanation:
3*3 =9
9*9*9*9= 6561
6561*6561*6561*6561=282429536481
Therefore is equal to 81^6 because 81*81*81*81*81*81= 282429536481
She drinks 70 ounces of water each day. Before her ride she drinks 14 ounces. What percent of water does she drink. Find an equivalent amount of water to 100 ounces.
Answer:
Percentage of water consumed = 20 %
Equivalent amount of water to 100 ounces = 20 ounces
Step-by-step explanation:
The total amount of water consumed by her daily = 70 ounces
The total amount of water consumed by her before ride = 14 ounces
Percentage of water consumed = total amount of water consumed by her before ride /total amount of water consumed by her daily * 100
Substituting the given values we get
[tex]\frac{14}{70} * 100\\\frac{100}{5} \\20[/tex]%
Equivalent amount of water to 100 ounces = 20 ounces
AB is tangent to circle O if AO = 30 and bc = 48 what is AB
Answer: 72
Step-by-step explanation:
30+48=78
√78^2-30^2=
√5184=
72
If AO = 30, BC = 48 then, AB = 72.
What is tangent?"Tangent to a circle is the line that touches the circle at only one point."
"A tangent to a circle is always perpendicular to the radius of a circle."
For given question,
AB is tangent to circle.
Also, AO = 30, BC = 48
From figure, we can observe that,
AO = CO .......................(radius of circle)
⇒OC = 48
Also,
OB = OC + BC
⇒ OB = 30 + 48
⇒ OB = 78
We know, a tangent to a circle is always perpendicular to the radius of a circle.
⇒ AB ⊥ AO
This means, ΔAOB is right triangle.
Using Pythagoras theorem to right triangle AOB,
⇒ [tex](OB)^{2} = (AO)^{2} + (AB)^{2}[/tex]
⇒ [tex](AB)^2 = (OB)^{2} - (AO)^{2}[/tex]
⇒ [tex](AB)^2=(78)^2-(30)^2[/tex]
⇒ [tex](AB)^2=5184[/tex]
⇒ [tex]AB=\sqrt{5184}[/tex]
⇒ [tex]\bold{AB=72}[/tex]
Therefore, option (D) is the correct answer.
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HELLLLLPP FASSTT PLZZZZ!!!!!! U ANSWER THIS THANNNKKK YOU
Answer:
1) No
2) 4/8 or 1/2
3) 2/8 or 1/4
4) 4/8 or 1/2
5) No
6) 1/8
7) No
The volume of a cylinder with a height of 2 and radius of 3
Answer:
v = 18π
Step-by-step explanation:
v = πr²h
plug in the givens
v = π(3²)2
v = 18π exact answer
V = 18 * 3.14 = 56.52 decimal approximation
A coach purchases 47 hats for his players and their families at a total cost of $302. The cost of a small hat is $5.50. A medium hat costs $6.00. A large hat costs $7.00. He purchases three times as many medium hats as small hats. Using matrices, how many large hats did the coach purchase?
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.
Since a total of 47 hats where purchased, hence:
x + y + z = 47 (1)
Also, he spent a total of $302, hence:
5.5x + 6y + 7z = 302 (2)
He purchases three times as many medium hats as small hats, hence:
y = 3x
-x + 3y = 0 (3)
Represent equations 1, 2 and 3 in matrix form gives:
[tex]\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] ^{-1} \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}6\\18\\23\end{array}\right][/tex]
Therefore he purchases 6 small hats, 18 medium hats and 23 large hats
Answer:
Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.
Since a total of 47 hats where purchased, hence:
x + y + z = 47 (1)
Also, he spent a total of $302, hence:
5.5x + 6y + 7z = 302 (2)
He purchases three times as many medium hats as small hats, hence:
y = 3x
-x + 3y = 0 (3)
Therefore he purchases 6 small hats, 18 medium hats and 23 large hats
Can someone explain this question which part of the class do you think you will apply to your life both now or in the future?
Pls help will mark brainliest
Could u help me with these 3 questions? Ill mark brainly if its correct. :)
△WXY is a right triangle, and △WZY is an isosceles triangle where WY¯¯¯¯¯¯≅ZY¯¯¯¯¯. Which is the measure of ∠XYZ?
Answer:
61 degrees
Step-by-step explanation:
TRUST ME I JUST DID THE IMAGINE MATH LESSON. !!!!
The measure of ∠XYZ in right triangle is 90 degrees.
What is an isosceles right angled triangle?It has two equal sides, and those two equal sides make 90 degrees (right angle) internally. An isosceles triangle has two of its side length of same measure.
Let the considered isosceles triangle has two same lengthed sides of 'a' units.
Let its third side be of 'b' units.
Then, if we drop a perpendicular from the vertex joining similar sides to the opposite side, the opposite side is cut in half, each of length b/2 units.
We are given that;
A right triangle △WXY and △WZY
Now,
Let's label ∠WZY as α, so we have:
∠WZY = α
∠WYZ = α
Since the sum of the angles in a triangle is 180 degrees, we can find ∠WYX of △WXY:
∠WYX = 90 - ∠WXY
Now, we can use the fact that ∠WXY and ∠XYZ are complementary angles of a right triangle, so:
∠WXY + ∠XYZ = 90
Substituting ∠WYX for ∠WXY, we get:
∠WYX + ∠XYZ = 90
90 - ∠WXY + ∠XYZ = 90
∠XYZ = ∠WXY
Therefore, we can conclude that ∠XYZ is equal to ∠WYX, which is the angle opposite to the hypotenuse in a right triangle. So, we have:
∠XYZ = 90 degrees
Hence, in the given right triangle answer will be 90 degrees.
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Find the volume of the prism