Answers
Answer:
∠T = 67.5
∠V = 22.5
Step-by-step explanation:
Angles of a triangle rule: The angles of a triangle should add up to equal 180
That being said we create an equation to solve for x
180 = 3x + x + 90 ( there is a right angle indicated by the square at the bottom right of the triangle. A right angle has a measure of 90 degrees so that is where the 90 cam from )
Now that we've created an equation we want to solve for x
180 = 3x + x + 90
step 1 combine like terms
3x + x = 4x
now we have 180 = 4x + 90
step 2 subtract 90 from each side
180 - 90 = 90
now we have 90 = 4x
step 3 divide each side by 4
4x / 4 = x
90 / 4 = 22.5
we're left with x = 22.5
Now we want to find ∠T and ∠V
To do so we replace x in the given expressions with 22.5
for ∠V
∠V = x so ∠V = 22.5
for ∠T
∠T = 3x
* replace x with 22.5 *
3 (22.5) = 67.5
Hence ∠T = 67.5
Related Questions
Nicholas has a salt shaker in the shape of a cylinder. It has a radius of 8 mm and a height of 30 mm. What is the lateral surface area of the shaker?
Answers
Answer:
1507.96
Step-by-step explanation:
Consider the function f(x) = 2 + 2x - 15. What are the x-intercepts of the function?
Answers
Answer:
x=6.5
Step-by-step explanation:
I got the x- intercept as 6.5 because I found the x value when y equals 0.
0=2+2x-15
Next, I added 2+-15 and got -13.
0=2x-13
Then, I added 13 to both sides so that I could have x by itself.
13=2x
Next, I divided 2 on both sides so I could find the value of x.
6.5= x
In conclusion, the x- intercept of f(x)=2+2x-15 is 6.5.
. You want to buy a new pair of shoes. You have a coupon for $15 off. Once you get to the store, you realize your shoes are on sale for 20% off, but you can't use both the sale price and the coupon. Which discount would offer a better deal if the original price of the shoes is $150? Explain your decision.
Answers
Answer:
I would use the sale price.
Step-by-step explanation:
20% of 150 is 30. So, you get $30 off if you use the sale price rather then the $15 coupon.
find the diagonal that goes through the 3D shape.
Answers
Answer:
Diagonal = 13 yd
Step-by-step explanation:
The diagonal of the 3D shape can be solved using the extension of the pythagorean theorem, which is given as: d² = a² + b² + c²
Where,
a = 12 yd
b = 3 yd
c = 4 yd
d = diagonal
Plug in the values
d² = 12² + 3² + 4²
d² = 169
d = √169
d = 13 yd
HELP WILL GIVE BRANLIEST!
No links!!
Answers
Answer:
32 ftEach base floor tile is 5ft and there's 4 tiles so 5x4=20
Next,there are 4 walls each wall is 3ft 3x4=12
Now you add your answers which is 20+12=32
Hope that helps
pick the Quadrant that you would plot (4,2)
A. Quadrant III
B. Quadrant II
C.Quadrant IV
D.Quadrant I
Answers
Answer:
D.) Quadrant I
Step-by-step explanation:
The quadrants start from Quadrant I (in the top left) and continue counter-clockwise to Quadrant II, Quadrant III, and Quadrant IV
Quadrant I = (+,+)
Quadrant II = (-,+)
Quadrant III = (-,-)
Quadrant IV = (+,-)
Now in this case, (4,2) is positive in the x value, and positive in the y value - so it belongs in Quadrant I!
Easy math world problem help me asap
Answers
On Friday,
1
6
of band practice was spent trying on uniforms. The band spent
1
8
of practice on marching. The remaining practice time was spent playing music.
What fraction of practice time was spent playing music?
Answers
Answer:
[tex]\frac{17}{24}[/tex]
Step-by-step explanation:
First, you have to make all of the fractions have a common denominator. You can find the LCM (least common multiple) of 6 and 8.
6, 12, 18, 24 . . .
8, 16, 24 . . .
Their LCM is 24.
So now, change the fractions:
1 4
---- = -----
6 24
Remember, whatever you multiply the bottom by to get to 24 is what you multiply the top number by. You have the make sure the fractions are equivalent.
1 3
---- = -----
8 24
Remember, whatever you multiply the bottom by to get to 24 is what you multiply the top number by. You have the make sure the fractions are equivalent.
So if we have 1 band practice, we know that
24 1
---- = ---- = 1
24 1
So the fraction of practice time spent playing music is:
[tex]\frac{24}{24}-\frac{3}{24} -\frac{4}{24}=\frac{17}{24}[/tex]
please help answer
Answers
The diameter of a spindle in a small motor is supposed to be 5.8 millimeters (mm) with a standard deviation of 0.14 mm. If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 12 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 5.88 mm. What are the null and alternative hypotheses (H0 = null hypothesis and Ha = alternative hypothesis)?
A. H0: Mean= 5 and Ha: Mean is not equal to 5.
B. H0: Mean = 5 and Ha: Mean <5.
C. H0: Mean < 5 and Ha: Mean > 5.
D. H0: Mean = 5 and Ha: Mean > 5.
Answers
Answer: A. H0: Mean= 5 and Ha: Mean is not equal to 5.
Step-by-step explanation:
Definitions:
Null hypothesis [tex](H_0)[/tex] is a statement describing population parameters according to the objective of the study. It takes "≤,≥,=" signs. Alternative hypothesis[tex](H_a)[/tex] is a statement opposite to the null hypothesis elaborating population parameters according to the objective of the study. It takes ">, <, ≠" signs.Given: The diameter of a spindle in a small motor is supposed to be 5.8 millimeters.
If the spindle is either too small or too large, the motor will not work properly. so, Mean diameter ≠ 5.8 to work correctly.
i.e. [tex]H_a: \text{Mean}\neq 5.8[/tex]
So, [tex]H_a: \text{Mean =5.8}[/tex]
The required null and alternative hypotheses:
H0: Mean= 5 and Ha: Mean is not equal to 5.
1. At the post office, Tiffany paid $11.04 for 24 stamps. At this rate, how much Would it cost Tiffany to buy 18 stamps?
A. $0.46 B. $2.76 C. $8.28 D.$17.64
2. A group of friends hiked 7 miles in 2 hours. At this same rate, what is the total number of miles they can hike in 8 hours?
a. 40 Miles
b. 28 miles
C. 11 miles
D. 9 miles
Giving brainly to Who every answer this question Please explain
Answers
2. a
Answer:
For question one: $8.28
For question two: 28 miles
Step-by-step explanation:
For question one: You divide 11.04 by 24 to get .46 the multiply that .46 by 18 to get 8.28
For question two: The ratio between the two is 7/2 and x/8. So to find x, you divide 8 by 2, getting 4. Then multiply that 4 by 7 to get 28.
One week Carlos bought 2 packages of dog bones and 4 packages of cat treats for $18.50. Because the finicky cats didn’t like the cat treats, the next week Carlos returned 3 unopened packages of cat treats and bought 2 more packages of dog bones. After being refunded for the cat treats, Carlos only had to pay $1.00 for his purchase. Based on this information, figure out the price of each item. Explain your reasoning.
Answers
Answer:
1 package of dog bones = 4.875
1 package of cat treats = 2.1875
Step-by-step explanation:
you add the $1 to the 18.50 = 19.50 these are the amount of money for 4 bags of dog food. you take away all the dog food(4) from it = 8.75 divide by 4 for the 4 bags of cat food= 2.1875
sorry I'm very bad at explaining you can put it in your own words
Answer:
Not an answer but OMG
Step-by-step explanation:
I love the Whitty profile pic :)
if $1000 is divided among the three people In the ratio 2:3:5,find the share of each
Answers
Answer:
$200, $300, $500
Step-by-step explanation:
Given data
Total Amount= $1000
Ratio= 2:3:5
The combined ratio is = 10
Let us apply the part to all method to find the individual amount
The first person will take
10/1000= 2/x
1/100=2/x
cross multiply
x= 200
The second person will take
10/1000= 3/x
1/100=3/x
cross multiply
x= 300
The third person will take
10/1000= 5/x
1/100=5/x
cross multiply
x= 500
does anyone know this?
Answers
Answer:
v = u = 75.8
Step-by-step explanation:
Robert recently purchased a bond for $1350. The bond has a par value of $1000 and a coupon rate of 4.00%. Based on this
information, you know that Robert's current effective interest rate earned on the bond is
and when the bond matures
he will receive
O 4.00%; $1000.
O 2.96%; nothing.
O 2.96%; $1000.
O 4.00%; $1350.
Answers
From Barbie dolls to runway models, women in Western countries are exposed to unrealistically thin and arguably unhealthy body standards for their gender. A body mass index (BMI) between 18.5 and 24.9 is considered healthy. Using a 3D computer avatar, participants built what they considered the ideal body of an adult of their own gender. Below appears a summary of the results for a sample of 40 female heterosexual Caucasian undergraduate students from British universities that had been recruited by the researchers. Mean BMI was recorded to be 18.85 with standard deviation 1.75. Does the data provide evidence that young Caucasian women in British Universities, on average, aim for an unhealthy ideal body type (corresponding to a BMI less than 18.5)? Use α = 0.10.
Required:
a. Construct a 99% confidence interval for the mean BMI for young Caucasian women in British universities using R. Use at least 2 decimals in your answer.
b. Would a 99% CI (for the mean BMI) constructed using a smaller sample than the one used for part a) tend to be wider or narrower? Explain.
Answers
Answer:
(18.1361 ; 19.5639) ;
using a smaller sample will widen the margin
Step-by-step explanation:
Given :
Xbar = 18.85
Standard deviation, s = 1.75
Sample size, n = 40
Confidence interval is obtained using the relation :
Xbar ± Margin of error
Margin of Error = Zcritical * s/ √n
Zcritical at 99% = 2.58
Margin of error = 2.58 * (1.75/√40) = 0.7139
Lower boundary = 18.85 - 0.7139 = 18.1361
Upper boundary = 18.85 + 0.7139 = 19.5639
(18.1361 ; 19.5639)
B.)
The sample size, n being the denominator in the margin error formula increases the error value as it reduces or decreases in value Hence widens the interval. Conversely, increasing the sample size reduces the error margin value and ultimately narrows the interval.
Therefore, using a smaller sample will widen the margin
please tell me please
Answers
Answer: H
Step-by-step explanation: H. Its H
1. Determine the area under the standard normal curve to the left of z=2.10.
Answers
In your calculator you need to go to 2nd distr and then normalcdf. Then enter the lower bound as -99, the upper bound as 2.1, mean as 0 and standard deviation as 1. Then press enter and you should get 0.982 as your answer :)
Eli gave out a survey to some students in his school about their favorite color. 880 of those surveyed said their favorite color was red. If 88% of the students surveyed said their favorite color was red, how many students were surveyed in total?
Answers
Answer:
The answer is 1000.
Step-by-step explanation:
For the plane curve defined by x = 7 cos t, y = 5 cos t, for t in [0, 2π] the ordered pair that corresponds to t = π/6 is ___
Answers
Answer:
The ordered pair is: [tex](\frac{7\sqrt{3}}{2},\frac{5\sqrt{3}}{2})[/tex]
Step-by-step explanation:
We are given the following plane curve:
[tex]x = 7 \cos{t}[/tex]
[tex]y = 5 \cos{t}[/tex]
Ordered pair for a value of t:
We find (x,y) for these values of t. So, when [tex]t = \frac{\pi}{6}[/tex]
[tex]x = 7 \cos{\frac{\pi}{6}} = 7\frac{\sqrt{3}}{2} = \frac{7\sqrt{3}}{2}[/tex]
[tex]y = 5 \cos{\frac{\pi}{6}} = 5\frac{\sqrt{3}}{2} = \frac{5\sqrt{3}}{2}[/tex]
The ordered pair is: [tex](\frac{7\sqrt{3}}{2},\frac{5\sqrt{3}}{2})[/tex]
Just really need a answer to this Savvas question!
Answers
Answer:
Solution given:
radius=r=2cm
height=h=9cm
Volume of cone =⅓πr²h=⅓×π×2²×9=36π0r 113.1cm³
The required volume is 36π0r 113.1cm³
The graph of the function f(x) = sin(x) is shown. What is the domain of the function?
Answers
PLS HELP!! Katie earned 15% more this week than last week. This week she earned $225, how much did she earn last week?
Answers
Answer:
$258.75
Step-by-step explanation:
225 * 0.15
Let last weeks pay = x
This week she earned 15% more so she earned 100% + 15% more for 115% total.
Setup an equation:
115% times x = $225
115% as a decimal = 1.15
So the equation is:
1.15x = 225
Solve for x by dividing both sides by 1.15:
X = 225/1.15
X = 195.65
Last week she earned $195.65
luego le digo 4yo1 xkw k
Answers
Answer:
okay luego le digo 4yo1 xkw k
Step-by-step explanation:
help please Im bout to fail.....
Answers
Answer:
it's the second to last one on the right side
Answer: (Not if I'm involved!)
Move the dot to the fourth tick mark to the right of zero.
Step-by-step explanation:
Each of the tick marks represent two, & 8 is the fourth positive multiple of 2. So move the dot to the fourth tick mark to the right of zero, which will represent 8.
Write an expression for " x divided by nine".
Please help!!
10 POINTS
Answers
Answer:
x/9
Step-by-step explanation:
x divided by 9
=> x ÷ 9
Take that and turn it into a fraction
=> x/9
hope this helps and is right. p.s. i really need brainliest :)
Answer:
45
Step-by-step explanation:
A scale drawing of a rectangular park had a scale of 1 cm = 100 m.
What is the actual area of the park in meters squared?
PLEASE HELP, 40 POINTS!
Answers
Answer:
521,400
Step-by-step explanation:
660 times 790
The area of the rectangular park which having 660 meter and 790 meter is 521400 m².
How to find area of rectangle ?A = l b is the formula for the Area of a Rectangle. Once the length and width of a rectangle are known, the area is calculated. The area of a rectangle can be calculated by multiplying its length and width.
The area is the amount of space covered by a flat surface of a specific shape. It is expressed as a "number of" square units. The number of unit squares that can fit into a rectangle is defined as its area. Rectangular shapes include the flat surfaces of laptop monitors, blackboards, painting canvas, and so on. The space occupied by these objects can be calculated using the area of a rectangle formula.
In this figure 1 cm = 100 m
6.6 cm * 100m = 660 m
7.9 cm * 100m = 790 m
Area of the park = 521400 m²
To learn more about area refer :
https://brainly.com/question/25292087
#SPJ2
You deposit $2000 in an account that pays 7% interest compounded semiannually. After 5 years, the interest rate is increased to 7.28% compounded quarterly. What will be the value of the account after a total of 10 years?
The value of the account will be $_____. (Round to the nearest dollar as needed.)
Answers
9514 1404 393
Answer:
$4047
Step-by-step explanation:
For an interest rate r compounded n times per year for t years, the effective multiplier is ...
(1 +r/n)^(nt)
The multiplier for the first 5 years is ...
(1 +0.07/2)^(2·5) = 1.41059876
The multiplier for the last 5 years is ...
(1 +0.0728/4)^(4·5) = 1.43437218
Then the account value at the end of 10 years is ...
$2000(1.41059876)(1.43437218) ≈ $4047 . . . . balance after 10 years
A number cube labeled one though six is rolled and a letter is selected from the word MUSIC. Find each probability.
P(2 and S)
a.
b.
c.
d.
HELP
Answers
Answer:
64/77
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
2/6*1/6= 2/12
When you simplify 2/12 you get 1/6
Simplify fully
4x2 + 4x
2x² – 2
Answers
Answer:
4 × 2 = 8 + 4 = 12 × 2 = 24 - 2 = 22
22 is the FINAL answer
#carryonlearning