Answer:
1023 inches
Step-by-step explanation:
Area = (1/2)(a)(b)(sinA)
Area = (1/2) (30) (89) (sin 130)
Area = 1022.669332 or 1023
The area of triangle VWX, to the nearest square inch, is approximately 1023 square inches.
To find the area of triangle VWX, we can use the formula for the area of a triangle:
Area = (1/2) * base * height
In this case, we need to determine the base and height of triangle VWX.
The length of the base, WX, is given as x = 30 inches.
To find the height, we can use the formula for the area of a triangle:
Area = (1/2) * WX * VW * sin(W)
Given that ∠W = 130°, we can find the sine of the angle using a scientific calculator or trigonometric tables. Let's assume the sine of 130° is approximately 0.766.
Now, we have all the values we need to calculate the area:
Area = (1/2) * 30 * 89 * 0.766 ≈ 1023 square inches
Therefore, the area of triangle VWX, to the nearest square inch, is approximately 1023 square inches.
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simplify the sum x-2/x+3 + 10x/x^2-9 please show your work
Answer:
Step-by-step explanation:
simpify each term
x- 2/x +3+ 10/x -9
combine fractions
x+3 -9 + 8/x
find common denominator then simplify terms [tex]\frac{x*x}{x}+\frac{3x}{x}+\frac{-9x}{x}+\frac{8}{x}[/tex]
[tex]\frac{x^{2}-6x+8 }{x}[/tex]
factor
[tex]\frac{(x-4) (x-2)}{x}[/tex]
Answer:
(x−4)(x−2)x
Step-by-step explanation:
Raven and Min jog at different rates. Raven jogs at a rate of 6.3 miles per hour and Min jogs at a rate of 4.8
miles per hour. Raven thinks that if their rates were graphed on the same grid representing distance jogged over
time that the line representing her rate would always be above the line representing Min's rate Is Raven correct,
and why?
A .Yes, since Raven's line has a greater slope, it will always be above Min's line on a graph.
B.No since Raven's line has a greater slope, it will always be below Min's line on a graph.
C.No, both graphs will intersect at the point (0,0).
D.No, on a graph, changing the scale will affect whether Raven's or Min's line is always
higher
Answer:
The answer is A.
if im wrong im truly sorry
What is the radius and diameter of the following circle?
16 cm
Answer:
radius is 16
diameter is 32
Step-by-step explanation:
Your radius is the line starting from the point in the middle to any part of the edge of the circle. A diameter is when there is a long straight line from both ends reaching the edges of the circle crossing the point.
A diameter is just the radius doubled but except it all has to be straight coming reaching both edges.
A radius is half of a diameter.
Answer:
radius = 16 cm
diameter = 32 cm
Step-by-step explanation:
radius = a straight line from the center of the circle to any point on the circle's circumference
We are given the radius (16 cm)
The diameter is equal to twice the length of the radius
So diameter = 16 * 2
16*2=32 so the length of the diameter is 32 cm
Review the graph of complex number z. What is the conjugate of z?
7 – 6i
6 – 7i
–7 + 6i
–6 + 7i
Answer: B. 6 - 7i
Step-by-step explanation:
The complex conjugate of the given graph of the complex number is 6-7i.
We have given that,
7 – 6i
6 – 7i
–7 + 6i
–6 + 7i
We have to determine the conjugate of z.
What is the conjugate of complex numbers?
changing the sign of the imaginary part of the complex number. To find the complex conjugate of 4+7i we change the sign of the imaginary part. Thus the complex conjugate of 4+7i is 4 - 7i.
Therefore the complex conjugate of the given graph of the complex number is 6-7i.
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Find the common ratio of the geometric sequence –4, 12, -36,...
Answer: -3
Step-by-step explanation:
The common ratio of the geometric sequence –4, 12, -36,... is -3.
12/(-4) =-3
-36/(12) = -3
They both multiply -3 for the next number.
A gym knows that each member, on average, spends 70 minutes at the gym per week, with a standard deviation of 20 minutes. Assume the amount of time each customer spends at the gym is normally distributed. Suppose the gym surveys a random sample of 49 members about the amount of time they spend at the gym each week. What are the expected value and standard deviation (standard error) of the sample mean of the time spent at the gym
Answer:
the expected value and the standard deviation of the sample mean is 70 and 2.86 respectively
Step-by-step explanation:
The computation of the expected value and the standard deviation of the sample mean is shown below:
The mean is 70
And, the standard deviation is
= 20 ÷ √49
= 20 ÷ 7
= 2.86
Hence, the expected value and the standard deviation of the sample mean is 70 and 2.86 respectively
What is the area of polygon LMN?
A. 50
B. 60
C. 65
D. 70
E.80
Answer:
c:65
Step-by-step explanation:
The area of a triangle can be found almost the same way as a sqaure L*W (Length times width). Except the area of a triangle is one half that of a square, so it is [tex]\frac{1}{2}[/tex]L*W. The length is 13 and the width is 10, so 13*10=130, than 1/2 that is 65.
Write the additive inverse and multiplicative inverse of 3-7i?
Step-by-step explanation:
additive inverse means multiplying 3-7i by it's conjugate which would be
(3-7i)(3+7i)=3^2+7^2=9+49=58
the multiplicative inverse of a number z is 1/z
1/(3-7i)
multiply numerator and denominator by 3-7i's conjugate and it equals 58
(3-7i)/58
3/58-7/58i
Hope that helps :)
Which of the following expressions could be used to find the area of the larger rectangle?
12 mm
4 mm
48 mm
16 mm
3164 mm2
9(64 mm
9(32 mm)
3(576 mm2
Answer:
12mm since its supposed to be for larger rectangles
Step-by-step explanation:
2 minutes is how many seconds
Answer:
120
Step-by-step explanation:
2*60 = 120
13. Reasoning In 2016, the world's oldest
tree was 5,066 years old. Write the
number that is one hundred more using
number names?
Answer:
five thousand, one hundred and sixty six years old.
Step-by-step explanation:
Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures θ radians (where 0≤θ<2π). The circle's radius is 2 units long and the terminal point is (−1.15,−1.64).
The terminal point is how many radius lenghts to the right of the circle's center?
h=
Then, cos−1(h)=
Does the number we get in part (b) give us the correct value of θ?
Therefore, θ=
Answer:
hello attached below is the sketch of the missing diagram
a) h = 2
b) cos^-1 ( 2 ) = ∞
c ) θ ≈ 215°
Step-by-step explanation:
a) The length ( h ) to the right of the circles center
= h^2 = ( -1.15)^2 + ( -1.64)^2
∴ h = 2
b) cos^-1 ( 2 ) = ∞
c) The value gotten from b does not give us the value of θ
AB = - 1.64
BC = -1.15
AC = 2
sin^-1 ( - 1.64 / -1.15 )
cos^1 ( -1.15 / 2 ) gives us the value of θ
tan^-1 ( -1.64 / -1.15 )
∴ θ ≈ 215°
Twelve people were surveyed and asked how many people live in their residence. The results are summarized in the table below.
What is the mean number of people per residence? Round to one decimal place if needed.
2.0 people per residence
2.5 people per residence
2.8 people per residence
3.5 people per residence
URGENT PLEASE HELP!
The mean number of people is 2.8 per residence . Which is the correct answer would be an option (C)
What is arithmetic mean?Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean. One of the basic methods used to acquire a result, the term "Mean" is commonly used in the field of statistics.
The formula for the mean of a given set of data is as follows:
Mean = Sum of Observations/Total number of observations
Given the frequency distribution as :
People per residence (x) Frequency (f) fx
1 2 1 × 2 = 2
2 4 2 × 4 = 8
3 3 3 × 3 = 9
4 1 4 × 1 = 4
5 1 5 × 1 = 5
6 1 6 × 1 = 6
Summation of fx = (Σfx) = 2 + 8 + 9 + 4 + 5 + 6 = 34
Total frequency = (Σf) = 2 + 4 + 3 + 1 + 1 + 1 = 12
⇒ Mean = Σfx/Σf
⇒ 34/ 12
⇒ 2.83 ≈ 2.8
Thus, the mean of the frequency distribution is 2.8.
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Answer c
Step-by-step explanation:
The Candy Store is selling packs of gummies. A pack has 2 and 1/3 pound
of pineapple gummies and 1 and 5/6 pound of strawberry gummies. How
may pounds of gummies is in a pack?
427 × 1,000 jnjnnjnjnnjjjjjjjjjjjjjjjjjj
Answer:
427,000...
Step-by-step explanation:
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Which equation below allows you to solve 2x2 - 15 = x Using the zero-product property?
Answer:
A is the correct answer .
Step-by-step explanation:
Hope this helps .
The equation that allows you to solve the given equation is (x-3)(2x+5).
What is a quadratic equation?Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where a is non-zero.
The given quadratic equation is:
[tex]2x^{2} -15=x[/tex]
[tex]2x^{2} -x-15=0[/tex]
[tex]2x^{2} -6x+5x-15=0[/tex]
[tex]2x(x-3)+5(x-3)=0[/tex]
[tex](x-3)(2x+5)=0[/tex].......(1)
So, the required equation is equation(1).
Hence, the equation that allows you to solve the given equation is (x-3)(2x+5).
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A high school booster club is selling raffle tickets for three different prizes. The tickets are $1 for the small prize, $2 for the medium prize, and $5 for the large prize. Shiloh spent $35 on 15 tickets. Together, the number of $2 and $5 tickets she bought is 1 more than the number of $1 tickets she bought. If x represents the number of $1 tickets, y represents the number of $2 tickets, and z represents the number of $5 tickets Shiloh bought, which system of equations represents this situation?
Answer:
x+y+z=15
x+2y+5z=15
-x+y+z=1
Step-by-step explanation:
Answer:
The answer is
x + y + z = 15
x + 2y + 5z = 35
-x + y + z = 1
Step-by-step explanation:
Parker ran 100 meters, 6 kilometers, and 4,000 centimeters. How many meters did he run all together
Answer:
4,106
Step-by-step explanation:
you jus add all the numbers up.
Write 5-7 well-written sentences. REREAD FOR ERRORS AND FIX THEM!! If you could spend the perfect day, what would you do? Where would you be? Who would be with you? What do you see? Eat? Play? Use your senses to describe it? What do you see? Hear? Smell? Taste? Touch?
Answer:
If i could spend the perfect day I would go to the park and take a jog. I would also go to Mc donalds and get a vanilla flavored ice cream! I love the taste of vanilla, Next, i will watch my favorite movie on my phone. Then, i will go to the zoo with my friends and see my favorite animals! Lastly,i will go home and take a nap.Step-by-step explanation:
okay
Can someone help with this, please? :)
Answer:
answer is D i believe
Step-by-step explanation:
I NEED HELP ASAP PLEASEEEE!!!!! The total surface area of the triangular prism is
Answer:
560
Step-by-step explanation:
Round to the nearest tenth
Answer:
7.0
Step-by-step explanation:
Tangents form right angles, so AOB is a right triangle.
Now using Pythagorean Theorem (A^2 + B^2 = C^2), plug in the values and solve inversely.
5^2 + B^2 = 8.6^2
25 + B^2 = 73.96
B^2 = 48.96
B = squareroot 48.96
B = 6.997 --> 7.0
Answer: r is 7
Step-by-step explanation:
ABO is a right triangle
[tex]a^{2} +b^{2} =c^{2} \\5^{2} +b^{2} =8.6^{2} \\25+b^{2} =73.96\\b^{2} =48.96\\b=6.997[/tex]
Erica finds a block of cheese in her
fridge. Originally, the block weighed
126 g, but there is only 60% of it left.
How many 10-g wedges can she cut
from the cheese that is left?
8
21
12
7
Answer:
7
Step-by-step explanation:
126 g is what you originally had which=60% of whats left
you have to find out how many 10 wedges she can cut from the cheese that is left over
Work Shown:to find how much is left you have to multiply 126 by 60% remember when you multiply you have to move the decimal, and decimal is moved twice, so the answer would be 75.60 after you were done solving it and the number that is closest would be 70 so you would multiply 10 by 7=70 and the reason you pick that is because it is closer to 75.60.
So 7 is the answer.
Can anyone know the answer please
what the formula of a triangle?!
Answer:
A=hbb/2 hope this helps :)
Step-by-step explanation:
Last year, Lebron James made $22, 970,000. This year he made $26,440.000. How much did Lebron James make from both years together?
Answer:
49,410,000
Step-by-step explanation:
because calculator
find the volume of the cone. use 3.14 for pi. round decimal answers to the nearest tenth. diameter= 24ft height= 8ft
13. Mark has a board that is 12 feet long. He
cuts the board into 8 pieces that are the
same length. How long is each piece?
Answer:
1.5 feet
Step-by-step explanation:
12/8 = 1.5 feet
A marble is drawn at random from the bag shown below. The bag contains 3 green, 4 yellow, 5 blue, and 8 pink
marbles.
What is P(not yellow)?
A 1/5 B 2/5 C 4/5
Answer: c 4/5
Step-by-step explanation: out of 5 only four are chosen leaving us with an answer of 4/5 :D hope it helped
5) Is this dilation an enlargement or reduction
A) Englargement
B) Reduction
———————
6) What is the scale factor for this dilation? Hint: First identity if it’s an enlargement or reduction
A) 2
B) 1/2
C) 3
D) 1/3