Answer:
[tex]m\widehat{VU}=120^{\circ}[/tex]
Step-by-step explanation:
The angle [tex]\angle TUV[/tex] forms arc [tex]\widehat{TV}[/tex]. The measure of this arc is twice the measure of angle [tex]\angle TUV[/tex], since [tex]U[/tex] is a point on the circle. Since [tex]\overline{TU}[/tex] forms an arc [tex]\widehat{TU}[/tex], we can set up the following equation:
[tex]\widehat{TV}+\widehat{VU}=\widehat{TU}[/tex].
Since arc TU represents half of a circle and there are 360 degrees in a circle, we can substitute the following values and solve for the measure of arc VU:
[tex]\\2\cdot 30^{\circ}+\widehat{VU}=180^{\circ},\\60^{\circ}+\widehat{VU}=180^{\circ},\\m\widehat{VU}=\boxed{120^{\circ}}[/tex]
2. What is the solution to the equation..
5m − (m + 4) = 2?
f. -1/2
g. 1/2
h. 1
j. 3/2
k. 3
Answer:
J. 3/2
Step-by-step explanation:
Let's solve your equation step-by-step.
5m−(m+4)=2
Step 1: Simplify both sides of the equation.
5m−(m+4)=2
5m+−1(m+4)=2(Distribute the Negative Sign)
5m+−1m+(−1)(4)=2
5m+−m+−4=2
(5m+−m)+(−4)=2(Combine Like Terms)
4m+−4=2
4m−4=2
Suppose a charity received a donation of 15.2 million. If this represents 34% of the charity's donated funds, what is the total amount of its donated funds?
Round your answer to the nearest million dollars.
Answer:
45 million
Step-by-step explanation:
Let [tex]x[/tex] be the total amount of its donated funds. We can set up the following equation:
[tex]0.34x=15.2\:[\text{million}][/tex]
Solving for [tex]x[/tex], we get:
[tex]x=\frac{15.2\:[\text{million}]}{0.34},\\x=44.7\:\text{million}\approx \boxed{45\:\text{million}}[/tex]
Answer:
45 million dollars (44.706...)
Step-by-step explanation:
15.2 ÷ 0.34 = 44.706
To check our answer:
44.706 × 0.34 = 15.2
Question 1.)
Calculate the probability that the couple conceived a girl and the test predicts a girl.
Question 2.)
Calculate the probability that the couple conceived a girl and the test predicts a boy.
Question 3.)
Calculate the probability that the couple conceived a boy and the test predicts a girl.
Question 4.)
Calculate the probability that the couple conceived a boy and the test predicts a boy.
Question 5.)
Calculate the probability that the couple conceived a girl before the test was taken. (Hint: add the probability you found for question 1 and 2, divide by the sum of all probabilities.)
Answer:
Answer 1: 0.05*0.85=0.0425
Answer 2: 0.05*0.15=0.0075
Answer 3: 0.95*0.15=0.1425
Answer 4: 0.95*0.85=0.8075
Answer 5: [tex]\frac{0.0425+0.0075}{0.0425+0.0075+0.1425+0.8075}=\frac{0.05}{1} =0.05=5%[/tex]
The probability that the couple conceived a girl and the test predicts a girl is 0.0425
What is Probability?This refers to the branch of mathematics that has to do with the calculation of how probable an event is to occur.
Calculations and Parameters:To find the probability that the couple conceived a girl and the test predicts a girl is 0.05*0.85= 0.0425
The other answers are:
0.05*0.15=0.00750.95*0.15=0.14250.95*0.85=0.80750.05/1= 0.05= 5Read more about probability here:
https://brainly.com/question/24756209
HELP ASAP !!!!!!) Write an expression that would represent 2 times a number increased by 5.
Answer:
y=2x+5
Step-by-step explanation:
Jason is training to run a marathon. His goal for this week is to run a minimum of 42 miles. So far this week, he has already run 18 miles. Which inequality could be used to determine the mean number of miles, m, he would need to run each day for 6 more days to achieve his goal?
Answer:
6m + 18 ≥ 42
Step-by-step explanation:
6m + 18 ≥ 42
------
No of miles per day=m
Total days=6
Target=42
Finished=18
Inequality
6m+18≥48Write the equation of the line in fully simplified slope-intercept form
Answer:
Take 2 points through which the line is passing.
Let it be (0, -3) and (1, 2)
[tex]slope ,m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} } = \frac{2--3}{1-0} = 2+3 = 5[/tex]
[tex]equation \ of \ the \ line = (y - y_2) = m(x - x_2)\\[/tex]
[tex](y - 2) = 5( x - 1)\\y - 2 = 5x - 5 \\y = 5x - 5 + 2\\y = 5x -3[/tex]
Which of the following are solutions to the equation below?
Check all that apply
4x²+ 12x+ 9 =25
Answer:
B and C
Step-by-step explanation:
First, we need to get the left side equal to zero. Take away 25 from each side to get [tex]4x^2+12x-16 = 0[/tex].
We can use the quadratic equation of [tex]\frac{-b+ -\sqrt{b^2-4ac} }{2a}[/tex] to find the solutions.
Plug them in to get [tex]\frac{-12+-\sqrt{144 -(-256)} }{8}[/tex].
Simplify.
[tex]\frac{-12+-\sqrt{400} }{8}[/tex]
[tex]\frac{-12+-20}{8}[/tex]
[tex]\frac{8}{8}[/tex] or [tex]\frac{-32}{8}[/tex]
1 and -4
x = 1 and -4
Write an expression to represent the following:
9u+5
9u represents 9 multiplied by a number.
+5 means 5 more than this product.
Hope this helps.
Translate this phrase into an algebraic expression.
63 less than twice Julie's height
Use the variable j to represent Julie's height.
The mathematical expression for "63 less than twice Julie's height"
is 2j - 63
What is Expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:
Expression: (Math Operator, Number/Variable, Math Operator)
We have,
63 less than twice Julie's height.
let the height of Julie be j.
Then, the mathematical expression for
"63 less than twice Julie's height"
= 2j - 63
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ2
Write the equation of the line that is parallel to the line y= -2x+3 and goes through the point (3, -6).
Answer:
y=-2
Step-by-step explanation:
because it's parallel --> a=-2
therefore we have y=-2x+b
the line goes through the point (3,-6) --> (-2).3+b=-6 --> b=0
I just need like a step by step I haven't understood what my teacher has taught me here
ifa = 2 and b = 3, which is the value of 4a3b2, O A. 100 OB. 144 OC. 288 D. 4608 E. 31104
Answer:
144
Step-by-step explanation:
The simplified equation would be 4x2x3x3x2 and that put into a calculator is 144
pls pls pls help if you know!! I’ll give brainliest pls!
Find the length of arc AC to the nearest tenth
Answer:
135
Step-by-step explanation:
if you think about it al cicle = 360 so its 360- 225= 135
please help :( it doesnt make any sense
If x = 11, what is the value of 5(x - 2)?
A.
9
B.
45
C.
53
D.
65
Answer:
B
Step-by-step explanation:
Substitute x = 11 into the expression
5(11 - 2)
= 5 × 9
= 45 → B
Answer:
45
Step-by-step explanation:
A function is given to us .And we need to find its value at x = 11. So on substituting x = 11 , we have ,
The given function :-
[tex]:\implies[/tex] f(x) = 5(x-2)
On putting x = 11 :-
[tex]:\implies[/tex] f(11) = 5 ( 11 - 2)
[tex]:\implies[/tex] f(11) = 5 × 9
[tex]:\implies[/tex] f(11) = 45
Hence the value at x = 11 is 45 .Find the domain of the function f left parenthesis x right parenthesis equals cube root of 5 x plus 25 end root
Answer:
Domain is (-∞, ∞)
Step-by-step explanation:
Given function is [tex]\sqrt[3]{5x+25}[/tex]
Please remember, for any cube root function the domain is all real numbers, because the cube root of any real number is a real number.
So, domain is all real numbers.
We can write it in interval notation as (-∞,∞).
One leg of a right triangle is 14 cm longand the hypoteruuse is long. What is the approximate length of the other leg?
Answer:
14 cm
Step-by-step explanation:
hour how much does davon charge per hour for a skateboard rental HELPP I BEG
Answer:
$7
Davon charges $7 per hour of rental
The bottom of the tree is 14 feet away from the house. The tree is 25 feet long. How tall is the house?
Answer:20.7 ft
Step-by-step explanation:
Rylee drew a blue line that was 6 2/7 long and a red line that was 3 4/7 long. How much longer was the blue line than the red line?
Answer:
2 5/7
Step-by-step explanation:
Difference in length = length of blue line - length of red line
[tex]6\frac{2}{7} - 3\frac{4}{7}[/tex]
[tex]3\frac{2-4}{7}[/tex]
Subtract 1 from the whole number and add it to 2, when 1 is added to 2 it becomes (7 + 2) = 9
= 2 5/7
PLSS HELP ME I NEED HELP NOW PLSS
Answer:
1. True
2. False
3. True
4. False
5. True
6. False
7. True
8. True
9. True
10. True
Explanation:
Got the answers following triangle classification rules.
Answer:
1) True
2) False
3) True
4) True
5) False
6) False
7) False
8) True
9) True
10) True
These are the answers i guess............
Step-by-step explanation:
There are eight boys and five girls in Chandler's group. Which fraction represents the part that is boys? A:5/8 B:8/13 C:5/13 D:8/5
Answer:
I think A is the right answer
Answer its c hope this helps
(-3-5i)(-3+5i)
A.34
B.34-30i
C.-16
Answer:
34
Step-by-step explanation:
See Image Below:)
EASY POINTS!! EASY POINTS!!
Above are two different models of the same rectangle. If the length of the model on the top is 6 cm, what is the length of the model on the bottom?
A. 36 cm
B. 15 cm
C. 21 cm
D. 12 cm
Answer:
A. 36cm
Step-by-step explanation:
When measuring it with a ruler, you will get six of the top rectangle
6 x 6 = 36
please help asap!!!
Answer:
A. 0.13.
B. 0.15.
Step-by-step explanation:
For the first problem, subtract 0.87 from 1. You get 0.13.
For the second problem, add up 0.3 and 0.55 to get 0.85. Subtract this from 1 to get 0.15.
Hope this helps :)
I will give brainiest
Answer:
B. {1, -4}
Step-by-step explanation:
Just rotate the screen and look at the position.
please help me neddddd itttt
Answer:
Below.
Step-by-step explanation:
h = 112 degrees (opposite angles are equal).
t = h = 112 degrees (corresponding angles are equal).
Use SOH-CAH-TOA to find the missing side. Step by step.
Answer:
[tex]180.49[/tex]
Step-by-step explanation:
SOH-CAH-TOA:
In right triangles only:
The sine of an angle is equal to its opposite side divided by the hypotenuse. (o/h)
The cosine of an angle is equal to its adjacent side divided by the hypotenuse. (a/h)
The tangent of an angle is equal to its opposite side divided by its adjacent side. (o/a)
Since we're given an angle, its opposite side, and its adjacent side, we'll use tangent to solve for [tex]x[/tex]:
[tex]\tan 14^{\circ}=\frac{45}{x},\\x=\frac{45}{\tan 14^{\circ}},\\x\approx \boxed{180.49}[/tex].
2) Poe Tayto wants to
know how long it will take an investment of $1,000
to earn $500 in interest if the yearly interest rate is 4.75%. Please answer fast and show work I will mark you as brain
Answer:
It will take 8.73 years.
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $1,000
Future value (FV)= $1,500
Interest rate (i)= 4.75% compounded annually
To calculate the time required for the initial investment to reach the objective, we need to use the following formula:
n= ln(FV/PV) / ln(1+i)
n= ln(1,500/1,000) / (1.0475)
n= 8.73
It will take 8.73 years.
In a class full of men and women,
2
5
of the class are women. What is the ratio of men to women in its simplest form?