Answer:
exterior angle = the sum of two remote interior angles
14x + 1 = 89 + 5x - 7
=> 9x = 81
=> x = 9
substitute x = 9 into angle H (5x - 7)
=> 5(9) - 7 = 45 - 7 = 38
The side adjacent to ∠W is …
Question 1 options:
side 34
side WU
side 90
side VW
The side adjacent to ∠W is side WU.
9514 1404 393
Answer:
(b) side WU
Step-by-step explanation:
With respect to any given acute angle in a right triangle, the sides of the triangle are called "adjacent", "opposite", or "hypotenuse".
The two sides that form angle W are WU and WV. Side WV is the longest, opposite the right angle, so it is the hypotenuse. Side WU is "adjacent" to angle W, and side UV is "opposite" angle W.
(It can help to note that the name of the opposite side UV does not contain the letter of the angle W. The name of the adjacent side WU does contain the letter of the angle.)
Arthur earned $22.50 last night delivering lunches for his family's restaurant. He puts 30% of his earnings into his savings account. he then bought a magazine for $3.95 and a CD for $11.49. of the amount earned last night, how much money does arthur have left that is not in his savings account
Answer:
$4.26
Step-by-step explanation:
Solve each equation by taking square roots NEED THIS ASAO WILL GIVE BRAINLIEST
please help me with this
Answer:
8 nights
Step-by-step explanation:
MATH
Can someone tell me how to do this and give me the answer please
Answer:
C. 94 Supplementary angles
Step-by-step explanation:
Ava swam for 154 minutes during her first week of vacation. In her two weeks of vacation, she swam for a total of 357 minutes. How many more minutes did she swim for in the second week than in the first week?
Answer:
Ava swam 203 more miles
Step-by-step explanation:
357-154=203
Prince Ivan rides gray wolf and a constant speed from kings castle to the magic apple garden in five hours. on the return trip to kings castle gray wolf runs at that original constant speed for the first 36 km then runs the rest of the way 3 km/h faster. what was grey Wolf original speed if the return trip took 15 minutes less than the trip from kings castle to magic apple garden? (List what the original speed of grey wolf can be)
Answer:
9 km/h or 48 km/hStep-by-step explanation:
Let the distance is d, speed is sAs per given we have:
d/s = 536/s + (d - 36)/(s + 3) = 5 - 1/4Substitute d with 5s and solve for s:
36/s + (5s - 36)/(s + 3) = 19/436(s + 3) + s(5s - 36) = 19s(s + 3)/44(36s + 108 + 5s² - 36s) = 19s² + 57s20s² + 432 = 19s² + 57ss² - 57s + 432 = 0s² - 9s - 48s + 432 = 0s(s - 9) - 48(s - 9) = 0(s - 9)(s - 48) = 0s -9 = 0 ⇒ s = 9 km/hs - 48 = 0 ⇒ s = 48 km/hThe original speed of grey wolf can be 9 km/h or 48 km/h
hey guys help pls!!!
Answer:
B
Step-by-step explanation:
I drew it out and triangle b is correct
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer: The answer is 4 pieces of chalk
Answer:
7 chalks
Step-by-step explanation:
7 crosses are above numbers that are higher than 5
Pls help ASAP. Pls and thx.
Answer:
(assuming the. values are the shaded areas)
area = x^2 + 2x +2
perimeter = 4x + 8
Step-by-step explanation:
you have all the side except the side of the 2 squares at the top.
The squares are 1 unit on each side because the area of the 2 slender rectangles on each side is x.
So the area is x^2 + x + x + 1 + 1
The perimeter is 1+x+1+1+1+x+1+1+1+x+1+x
(starting from the lower left side and walking around the perimeter clockwise)
Solve the equation used to find the area of trapezoid for h A=1/2h(x+y)
how many different perfect cubes are among the positive actors of 2021^2021
Answer:
hope this helps :D
Step-by-step explanation:
Perfect cube factors:
If a number is a perfect cube, then the power of the prime factors should be divisible by 3.
Example 1:Find the number of factors of293655118 that are perfect cube?
Solution: If a number is a perfect cube, then the power of the prime factors should be divisible by 3. Hence perfect cube factors must have
2(0 or 3 or 6or 9)—– 4 factors
3(0 or 3 or 6) —– 3 factors
5(0 or 3)——- 2 factors
11(0 or 3 or 6 )— 3 factors
Hence, the total number of factors which are perfect cube 4x3x2x3=72
Perfect square and perfect cube
If a number is both perfect square and perfect cube then the powers of prime factors must be divisible by 6.
Example 2: How many factors of 293655118 are both perfect square and perfect cube?
Solution: If a number is both perfect square and perfect cube then the powers of prime factors must be divisible by 6.Hence both perfect square and perfect cube must have
2(0 or 6)—– 2 factors
3(0 or 6) —– 2 factors
5(0)——- 1 factor
11(0 or 6)— 2 factors
Hence total number of such factors are 2x2x1x2=8
Example 3: How many factors of293655118are either perfect squares or perfect cubes but not both?
Solution:
Let A denotes set of numbers, which are perfect squares.
If a number is a perfect square, then the power of the prime factors should be divisible by 2. Hence perfect square factors must have
2(0 or 2 or 4 or 6 or 8)—– 5 factors
3(0 or 2 or 4 or 6) —– 4 factors
5(0 or 2or 4 )——- 3 factors
11(0 or 2or 4 or6 or 8 )— 5 factors
Hence, the total number of factors which are perfect square i.e. n(A)=5x4x3x5=300
Let B denotes set of numbers, which are perfect cubes
If a number is a perfect cube, then the power of the prime factors should be divisible by 3. Hence perfect cube factors must have
2(0 or 3 or 6or 9)—– 4 factors
3(0 or 3 or 6) —– 3 factors
5(0 or 3)——- 2 factors
11(0 or 3 or 6 )— 3 factors
Hence, the total number of factors which are perfect cube i.e. n(B)=4x3x2x3=72
If a number is both perfect square and perfect cube then the powers of prime factors must be divisible by 6.Hence both perfect square and perfect cube must have
2(0 or 6)—– 2 factors
3(0 or 6) —– 2 factors
5(0)——- 1 factor
11(0 or 6)— 2 factors
Hence total number of such factors are i.e.n(A∩B)=2x2x1x2=8
We are asked to calculate which are either perfect square or perfect cubes i.e.
n(A U B )= n(A) + n(B) – n(A∩B)
=300+72 – 8
=364
Hence required number of factors is 364.
The Northwood Clock Tower measures 193 meters tall. Dante is creating a scale model of this building using the scale 75 meters : 1 meter.
To the nearest tenth of a meter, what will be the height of the scale model?
Step-by-step explanation:
Height of real/height of scale=ratio of scale
193/x=75/1
x=2.6
Hope that helps :)
The radius of a circle is 16 cm. Find its area in terms of \piπ
Answer256pi
Step-by-step explanation:
Area=pi*r^2
=pi*16^2
256pi
Combine and simplify the following radical expression.
(2^3 square root 12) (3^3 square root 2)
Answer:
432[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Given: ([tex]2^{3}[/tex][tex]\sqrt{12}[/tex])([tex]3^{3}[/tex][tex]\sqrt{2}[/tex])
= (8[tex]\sqrt{4*3}[/tex])(27[tex]\sqrt{2}[/tex])
= (8*2[tex]\sqrt{3}[/tex])(27[tex]\sqrt{2}[/tex])
= (16[tex]\sqrt{3}[/tex])(27[tex]\sqrt{2}[/tex])
So that;
16 x 27 x [tex]\sqrt{3}[/tex] x [tex]\sqrt{2}[/tex]
= 432[tex]\sqrt{6}[/tex]
Thus the radical expression given can be simplified as 432[tex]\sqrt{6}[/tex]
Corinna rowed 4/5 mile on a rowing machine in 1/6 hour. What is her rowing rate in miles per hour
Answer: 8.20 miles I believe
I have four bags of small chocolate
eggs, with each bag containing an equal
number of eggs and weighing 0.36kg
I hide the eggs in the garden
24 children search for the eggs and each
finds 3 eggs. They found all of the eggs
How much does
each egg weigh
in grams?
20 grams
Step-by-step explanation:
24× 3 = 72 eggs then convert kg to grams 0.36 × 1000 = 360 grams × 4 = 1440 grams after that 1440 ÷ 72 = 20 grams
Answer:
total number of eggs = 3×24= 72eggs
number of eggs in each bag = 72/4=18 eggs
Each egg will weigh, 0.36/18
= 0.02kg
= 0.02×1000
=20g
What is the area of the triangle? 13 5 12
Answer:29
Step-by-step explanation:
Find the volume of the pyramid.
I will ONLY give you a brainliest if your answer is CORRECT!
Answer:
72 cm³
Step-by-step explanation:
Volume of a triangular pyramid = a*(h/3), where a is the area of the base triangle and h is the height from the base to the highest point.
We need to first find a, the area of the bas triangle:
Area of triangle = (1/2)bh, where b is the length of the base and h is the perpendicular height.
a = (1/2)12*4
a = 6*4
a = 24 cm²
Knowing a, we can know find the volume:
Volume = a*(h/3)
= 24*(9/3)
= 24*3
= 72 cm³
CAN U PLZ ANSWER THIS ITS FOR A TEST
Answer:
A. 300in^2
Step-by-step explanation:
Area=LWH
15*10*2=300
C=2πr
Diameter is 10
I need the answer , help me please
It is reported that 56% of a state is experiencing drought conditions. An agricultural researcher randomly selects ten farmers in the state and asks if their farms are experiencing drought. What is the expected number of farmers who have experienced drought? Find the standard deviation.
Answer:
I think your answer would be 5.6
Step-by-step explanation:
56% of 10 = 5.6
A) 9)___ + 7) = 18 + 63 B) ___(12 + 9) + 36 + 27 C) 8(___+7) = 24 + 56 D) ___(5 + 8) + 20 +32
Answer:
A) 9(2+7)
B) 3(12+9
C) 8(3+7)
D)4(5+8)
Step-by-step explanation:
A)
9*(x+7) = 18+63
9*(x+7) = 81
81/9 = x+7
9 = x+7
x = 2
B)
x*(12+9) = 36+27
x*(12+9) = 63
x*21 = 63
x = 63/21
x = 3
C)
8*(x+7) = 24+56
8*(x+7) = 80
x+7 = 80/8
x+7 = 10
x = 3
D)
x*(5+8) = 20+32
x*13 = 52
x = 52/13
x = 4
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
a rectangle measures 2 1/3 by 1 2/3 what is its area
Which graph represents an exponential function?
Solve this question for brainlest
Answer:
multiply is your answer
mark brainliest please :D
Rearrange the equation so uuu is the independent variable.
-12u+13=8w-3
Answer:
u = 8w-16 /-12 or = - 8w-16/12 both mean the same due to the a/-b- = -a/b rule. Then you can factor out the rest. note the fnew subtraction changes mean the same as - (a/b) and should show without brackets as a centre pointing whole fraction subtraction sign.
Step-by-step explanation:
-12u -13 = 8w-3
-12u+13 -13 = 8w-3-13 Eliminate -13 by +13 both sides
-12u = 8w-16 So you are left with one value left side.
-12u/-12 = 8/-12 - 16/-12 Then divide all values by -12 to find value for u and keep the subtraction as 8 never had subtraction sign and no multiplication .
u = 8w-16 /-12 Then you can factor out the rest
This has made u the independent variable then you have a choice to continue showing or ignore u; as u =
= - 8(w-2)/12 Step 1 Factor with subtraction change from -12 to - central fraction
= - 2(w-2)/3 Step 2 Simplify with new minus sign for central fraction to replace a/-b
Answer:
The answer is W = -3/2u + 2
Step-by-step explanation:
Look at attachment:
Hope this helps! :)
What is the value of the expression (25-7)x2 divided by 4+2
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{(25-7)(2)}{4}+2}[/tex]
[tex]\mathsf{25-7=\bf 18}[/tex]
[tex]\mathsf{\dfrac{\bold{18}(2)}{4}+2}[/tex]
[tex]\mathsf{18(2)= \bf 36}[/tex]
[tex]\mathsf{\dfrac{\bold{36}}{4}+2}[/tex]
[tex]\mathsf{\dfrac{36}{4}=\bf 9}[/tex]
[tex]\mathsf{\bold{9}+2 }[/tex]
[tex]\bold{= 11}[/tex]
[tex]\boxed{\large\textsf{Possible answer \#1: \bf 11 }}\huge\checkmark[/tex]
[tex]\huge\text{OR....}[/tex]
[tex]\mathsf{\dfrac{(25-7)(2)}{4+2}}[/tex]
[tex]\mathsf{25-7=\bf 18}[/tex]
[tex]\mathsf{\dfrac{\bold{18}(2)}{4+2}}[/tex]
[tex]\mathsf{18(2)=\bf 36}[/tex]
[tex]\mathsf{\dfrac{\bold{36}}{4+2}}[/tex]
[tex]\mathsf{4+2= \bf 6}[/tex]
[tex]\mathsf{\dfrac{36}{\bold{6}}}[/tex]
[tex]\mathsf{\bf = 6}[/tex]
[tex]\boxed{\large\textsf{Possible answer \# 2: \bf 6}}\huge\checkmark[/tex]
[tex]\boxed{\boxed{\large\text{{Answer(s): \bf Answer \#1: 11 OR Answer \#2: 6}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
What is the equation of the circle shown in the graph?
6 9 12 36