Answer:
x = sqrt (2), y = sqrt (2)
Step-by-step explanation:
Here is how we can approach this problem in a step by step solution:
Look at what we are given - we know that the triangle is a right triangle (has a square on one of its angles representing 90 degrees), and the hypotenuse (the side opposite 90 degree angle) is 2 units long, and one of the other angles is 45 degreesUsing this information about angle measurements, we can solve for the third angle using the sum of angles in a triangle equals 180 degrees theorem: 180 - 90 - 45 = 45. After solving, we get that the final angle is 45 degreesNow, we know that the angles of the triangle are 90, 45, and 45 degrees. Using the base angle theorem, we know that his triangle must be an isocoles right triangleThat means that both legs of the triangle must be congruent (x = y)Finally, we can use the Pythagorean theorem because this is a right triangle to solve for the missing sides 4 = x^2 + y^2, 4 = 2 + 2, x = sqrt (2) y = sqrt (2)*Also, if you knew that a 45-45-90 triangle's sides form a ratio of a, a, and sqrt (2) a, you could also use that and substitute in the values to solve. Both ways work! Hope this helps!!
I need help geometry !
A wheelbarrow is used to carry wet concrete. The dimensions pf the tray
are provided below.
106 cm
34 cm
140 cm
66 cm
74 cm
93 cm
70 cm
40 cm
40 cm
Answer:
volume = 415800
Surface Area inside = 26370
Step-by-step explanation:
slowly added up all sides for surface area.
volume is area of trapezoid side (b1 + b2 divided by 2 multiply by height) x bottom length (70)
trapezoid Area = 106 + 34 +40 Divided by 2 then multiply by 66
The volume of the wheelbarrow is 415800 cubic centimeter.
What is Area?Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -
V = ∫∫F(x, y) dx dy
Given is a wheelbarrow that is used to carry wet concrete. The dimensions tray are provided in the image.
We can write the volume of the wheelbarrow as -
V = {(1/2 x 34 x 66) + (66 x 40) + (1/2 x 66 x 66)} x 70
V = {1122 + 2640 + 2178} x 70
V= 415800 cubic centimeter.
Therefore, the volume of the wheelbarrow is 415800 cubic centimeter.
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Last week at a gym, 120 people participated in a biking class. The number of people who ran on a treadmill
was 150% of the number of people who participated in a biking class. How many people ran
a treadmill at
the gym last week?
people ran on a treadmill at the gym last week.
Show work ~ Aniya v
Answer:
180
Step-by-step explanation:
This basically means that one and a half of the amount of people that took a biking class ran on the treadmill.
There are two ways to solve
1. [tex]\frac{150*120}{100}[/tex]
2. [tex]120+\frac{120\\}{2}[/tex]
To do the first one:
1. Multiply the values in the numerator
18000/100
2. Divide
180
To do the second one:
1. Divide the fraction
120 + 60
2. Add
180
PLSSS HELP QUICK!!
Find the area of the rectangular base
Answer:
77
Step-by-step explanation:
Area equals width times height, so 11 times 7 is 77
In one hour a seamstress can sew 48 yards of material. How many yards can she sew in 15 minutes?
Answer:
12
Step-by-step explanation:
you know there are 4 - 15 minutes parts in 1 hour. so if she can sew 48 yards in 1 hour, divide 48 by 4 =12 yards
What is the value of W?
Answer:
w=5
Step-by-step explanation:
firstly angle SUT and angle SUV are congruent, hence:
w+10=3w
10=3w-w
10=2w
10/2=w
5=w
Help with right Awnser
Answer:
Solution given:
base[b]=8m
perpendicular [p]=3m
we have
area of triangle=[tex] \frac{p \times b}{2} [/tex]
=[tex] \frac{3 \times 8}{2} [/tex]=12m²
is your answer
Answer:
12m2
Step-by-step explanation:
In the diagram below of triangle GHJ, K is a midpoint of GH and L
is a midpoint of HJ. If K L = 7x – 55, and GJ = 40 – X, what is
the measure of GJ?
H
K
L
G
J
Solve the equation 2.2x=3
Answer : The answer is 15/11 but you can simply this fraction which makes it to a decimal which would be 1.36 ( 36 is repeating )
If x = 8, what is the value of x(17 - x)?
Answer:
72
Step-by-step explanation:
all we have to do, is subsitute 8 whenever we see an x in the equation
x(17-x)
8(17-8)
8(9)
=72
Answer:
QUESTION:
If x = 8, what is the value of x(17 - x)?
ANSWER:
x( 17 - x) = ?
8( 17 - 8) = ?
8 X 17 = 136
8 X (-8) = -64
Final answer:
136 - 64 = 72
Step-by-step explanation:
Hope that this helps you out! :)
If you have any questions please put them in the comment section below this answer.
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you.
question on picture:
Answer:
Formula for tan is opposite over adjacent, so do arctan of 150/100 to get 56.30993247 :))
Step-by-step explanation:
Answer:
B. 34
Step-by-step explanation:
sohcahtoa
tan x = 100/150
tan x = .667
x = 33.7
Suppose three moons A, B, and C orbit 100,000 kilometers above the surface of a planet. Suppose m ZABC = 90°, and the planet is 20,000 kilometers in diameter. Draw a diagram of the situation. How far is moon A from moon C?
Answer:
Step-by-step explanation:
Please see diagram attached.
Moon A and C are 100,000km + 10,000 = 110,000km from center of planet.
So they are 110,000 + 110,000 = 220,000km apart.
Answer:
Step-by-step explanation:
AC is 220000km according to the drawing:
The outcome of the first event does affect the outcome of the second, so that the probability is changed
Answer:
Dependent Events
Step-by-step explanation:
Suppose we have 3 balls 1,2,3 and we have to find the probability of choosing one ball.
If the first ball is chosen the probability will 1/3 leaving behind 2 balls in the bag. If the first ball is not replaced and we have to choose again the probability of choosing the second or third ball would be 1/2 which is changed from the original probability of choosing 1 ball out of 3. In this the outcome of the first event does affect the outcome of the second, so that the probability is changed. This is when choosing is done without replacement.
In this the events are called dependent events.
Consider this scenario again and suppose we replace the first ball after it is chosen back into the bag. Then again we choose another ball . And the probability of choosing the second ball after replacement remains the same as choosing the first ball. In this he outcome of the first event does not affect the outcome of the second, so that the probability remain the same. This is done by replacement.In this the events are independent.
Solve the following quadratic formula and enter the solutions below from smallest to largest. Round to the nearest tenth if necessary.
Equation: 4x2+8x+7=4
Solution: Answer
and
Answer:
[tex]\:x=-\frac{3}{2},x=-\frac{1}{2}[/tex]
Step-by-step explanation:
Subtract 4 from both sides:
[tex]4x^2+8x+7-4=4-4[/tex]
Simplify:
[tex]4x^2+8x+3=0[/tex]
Solve with the quadratic formula:
[tex]x_{1,\:2}=\frac{-8\pm \sqrt{8^2-4\cdot \:4\cdot \:3}}{2\cdot \:4}[/tex]
[tex]x_{1,\:2}=\frac{-8\pm \:4}{2\cdot \:4}[/tex]
Separate the solutions:
[tex]x_1=\frac{-8+4}{2\cdot \:4},\:x_2=\frac{-8-4}{2\cdot \:4}[/tex]
The solutions to the quadratic equation are:
[tex]\:x=-\frac{3}{2},x=-\frac{1}{2}[/tex]
Enter the correct answer in the box.
Solve this system of equations.
y=2x-5
y=-2x+3
x=
y=
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
2, -1
Step-by-step explanation:
∠A and \angle B∠B are complementary angles. If m\angle A=(6x+22)^{\circ}∠A=(6x+22) ∘ and m\angle B=(7x+16)^{\circ}∠B=(7x+16) ∘ , then find the measure of \angle B∠B.
Answer: B = 44
Step-by-step explanation:
The measure of ∠B = 44°.
We have two angles ∠A and ∠B which are complementary of each other.
We have to find the measure of ∠B.
What are Complementary angles?Two angles are said to be complementary if their sum is equal to 90°.
Mathematically - x + y = 90°
According to the question -
∠A = (6x+22)°
∠B = (7x+16)°
Now, ∠A and ∠B are Complementary angles. Therefore -
∠A + ∠B = 90°
(6x + 22) + (7x + 16) = 90
13x + 38 = 90
13x = 52
x = 4
Therefore -
∠B = 7x + 16 = 7 x 4 + 16 = 44°.
Hence, the measure of ∠B = 44°.
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can someone please help me with this one?
Answer:
12=0.5d-g or g=0.5d-12
Step-by-step explanation:
12 gallons
1/2 gallon a day
g gas
d days
g=0.5(5)-12
2.5-12
9.5 gallons after 5 days
Find the domain of the relation:
{(-3, -4), (-1, 2), (0, 0), (1, 3), (5, 4);
0 (-3,-1, 0, 1,5)
O {-4, 0, 2, 3, 43
{-4, 2, 3, 43
O {-4, -3, -1, 0, 1, 2, 3, 4, 5}
Which statement is true about rectangular prisms?
A. All rectangular prisms have five faces.
B. The bases are always congruent.
C. The lateral faces are always congruent.
D. All rectangular prisms have three lateral faces.
Answer:
it b
Step-by-step explanation:
HELPPPPPPPPPPPP MEHHHHHHHHHHHHHHHHHHHHHHHHH PLZZZZZZZZZZZZZZZZ GRADES GO OUT TOMMORROW AND I NEED THIS SO I CAN GET MY GRADE UP FROM A D+ PLZZZZZZZZ MY PARENTS WILL MURDER ME
Answer:
Call child abuse
Step-by-step explanation:
so you dont die kid
Answer:
2,3
4,3
3,3
4,5
5,4
6,7
8,8
8,9
If i have 2 lemons and i give 1 away. how many do i have now?
Can someone please help me :) ❗❗❗❗❗
Answer:
the third option
Step-by-step explanation:
when X is negative f(x) is positive. and when f(x) is negative x is positive
About how much cardboard is needed to make the inner tube for a roll of paper if the
tube has a diameter of 4.5 cm and is 24 cm long?
Answer:
[tex]A=339.42\ cm^2[/tex]
Step-by-step explanation:
The diameter of the roll of paper, d = 4.5 cm
Radius, r = 2.25 cm
Height of the roll of papaer, h = 24 cm
We need to find how much is needed to make the inner tube for a roll of paper. The surface area of a cylinder for inner tube is given by :
[tex]A=2\pi r h\\\\=2\times \dfrac{22}{7}\times 2.25\times 24\\\\=339.42\ cm^2[/tex]
So, the required area is [tex]339.42\ cm^2[/tex].
Plz Help!! NO LINK or REPORTED
4 is added to the numerator of the fraction 2/5 what number must be added to the denominator to make the fraction equivalent to 1/2
Answer: 7
Step-by-step explanation:
Hope this helps!
Jim wants to buy a new tablet for his homework. His budget is $350. If the tablet costs $330 plus 4.5% sales tax, can he buy it for $350 or less?
Answer:
Yes, he can buy it for $350 or less
Step-by-step explanation:
330.00 x 4.5%
330.00 x 0.045 = 14.85
330.00 + 14.85 = 344.85
or
330.00 x 1.045 = 344.85
when a car speed is 24 km/hr a journey takes 80 minutes what must the speed be for the same journey to take 60 minutes?
Answer:
32 km/ hr
Step-by-step explanation:
Given that :
Speed of car = 24km/ hr
Time taken =. 80 minutes = 80 / 60 = 1.33333 hours
The distance traveled :
Speed * time
24 km/hr * 1.333333 = 32 km
Speed required to complete 32 km. Journey in 60 minutes = 1 hour
Speed = distance / time
Speed = 32 km / 1 hour
Speed = 32 km/ hr
A model train is inches long. Each car in this train is inches in length. How many cars are in the train?
Answer:
5
Step-by-step explanation:
hello today my exam has finished
Answer:
congratulations x3
Step-by-step explanation:
Answer:
I have to wait for one ...............
Mr. Dieter wants to tile the family room in his basement. He has selected a pattern of square tiles that measure 9 inches by 9 inches each. The shape of the floor to be tiled is shown below. a. What is the area of the family room in square feet? b. How many of the 9 inch by 9 inch tiles will it take to cover the floor? (NOTE: You will need to convert the area in Part a from square feet to square inches.) c. If the tile is sold only in boxes of 12 tiles per box, how many boxes will Mr. Dieter have to buy to tile the family room?
Answer:
146 ft²
21.6 tiles
1.8 boxes
Step-by-step explanation:
Please find attached an image of the family room used in answering this question
the family room has the following shapes : 2 triangles and one rectangle
the area of the family room can be determined by calculating the area of each of the shape and adding the 3 areas together
area of a rectangle = length x breadth
16 x 7 = 112 ft²
Area of a triangle = 1/2 x base x height
Area of the smaller triangle = (1/2) x 4 x 3 = 6 ft²
Area of the bigger triangle = (1/2) x 8 x 7 = 28 ft²
Sum of the areas = 112 + 6 + 28 = 146 ft²
b.
1. First convert the area of the room to inches
1 ft = 12 in
146 x 12 = 1752 in²
2. the next step is to determine the area of the tile
area of a square = length²
9² = 81 in²
3. Divide the area of the room by the area of the tile
1752 / 81 = 21.6 tiles
c. total number of boxes that would be bought = 21.6 /12 = 1.8 boxes