Step-by-step explanation:
Measure of Angle 1 is 115 due to corresponding angles postulate
Measure of Angle 2 is 65 is linear pair postulate.
make x the subject of the relaton3x-ax=2x+5
Answer:
x =5/ (1-a)
Step-by-step explanation:
3x-ax=2x+5
Subtract 2x from each side
3x -ax-2x = 2x+5-2x
3x -ax -2x = 5
combine like terms
x-ax = 5
Factor out x
x(1-a) =5
Divide each side by 1-a
x =5/ (1-a)
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
[tex]3x-ax=2x+5\\\\3x-ax-2x=5\\\\(3-2)x-ax=5\\\\x-ax=5\\\\x(1-a)=5\\\\\dashrightarrow x=\dfrac{5}{1-a}[/tex]
Someone help me pls !!!!!
Answer:
1)a
the problem asks"what PERCENT of 5 is 4?"
2)part
it gives both the percent and the whole, so your left with the part
3)Whole
4 is a part which is 80%
Step-by-step explanation:
From a random sample of 20 bars selected at random from those produced, calculations gave a mean weight of = 52.46 grams and standard deviation of s = 0.42 grams. Assuming t distribution is followed, construct a 90% confidence interval for the mean weight of bars produced, giving the limits to two decimal places.
Answer:
(52.30 ; 52.62)
Step-by-step explanation:
Given :
Sample size, n = 20
Mean, xbar = 52.46
Standard deviation, s = 0.42
We assume a t - distribution
The 90% confidence interval
The confidence interval relation :
C.I = xbar ± Tcritical * s/√n
To obtain the Tcritical value :
Degree of freedom, df = n - 1 ; 20 - 1 = 19 ; α = (1 - 0.90) /2 = 0.1/2 = 0.05
Using the T-distribution table, Tcritical = 1.729
We now have :
C.I = 52.46 ± (1.729 * 0.42/√20)
C. I = 52.46 ± 0.1624
C.I = (52.30 ; 52.62)
help plzz! find the value of x
Answer: 12°
Hope this helps!
In the triangle shown below (not to scale), what is the angle gamma, y, when
A=6.8, B= 8.4, and C = 11.5? Answer in degrees rounded to at least
the nearest hundredth.
ILL GIVE YOU BRAINLIEST!
Answer:
γ = 97.77°
Step-by-step explanation:
A = 6.8
B = 8.4
C = 11.5
To find γ, apply the angle version of the Law of Cosines:
Cos γ = (A² + B² - C²)/(2AB)
Plug in the values
Cos γ = (6.8² + 8.4² - 11.5²)/(2*6.8*8.4)
Cos γ = -15.45/114.24
Cos γ = -0.1352
γ = Cos^{-1}(-0.1352)
γ = 97.77° (nearest hundredth)
Find X?
please help?
Look at one side of the triangle. It forms a right triangle with 45 degree angles.
A 45 degree triangle the base and height are the same, so the height would also be 26.
The hypotenuse(x) of a 45 degree right triangle is the side length time the sqrt(2)
The answer is: 26 sqrt(2)
PLEASE HELP WILL MARK BRAINLIEST
Using the table above, if the reserve requirement is 10%, then the additional amount the bank could loan out is
$40,000
$60,000
$300,000
$340,000
$1,800,000
what value of n make an equation??
Answer:
[tex]\frac{4}{27}[/tex]
Step-by-step explanation:
simplify the terms on both sides;
12*18*n=32
n*216=32
n=32/216
simplified --> 4/27
you can check by plugging it back into the equation;
12*n*3*6=4*8
12*(4/27)*3*6=32
216*(4/27)=32
32=32
p=2,-3 and Q= -1,4. Evaluate 3q-2p
Answer:
When p=2 , q=-1
3q-2p
3(-1) - 2(2)
(3)-4
-1
When p=-3 , q=4
3(4)-2(-3)
(12 )-(-6)
=18
if √7-y=6, then y=
-29
-5
1
29
I don't know
Hello!
√7 - y = 6 <=>
<=> -y = 6 - √7 <=>
<=> y = -6 + √7 => √7 - (-6 + √7) = 6
Good luck! :)
Answer:
-29
Step-by-step explanation:
When you substitute 1 for y in the original equation, you get:
7−(1)−−−−−−√
=?
6
6–√
≠
6 So 1 is not a solution.
A television stand at Wiles' Discount Mart is $187, and the sales tax is 6%. What is the amount of tax to be paid for the TV?
Answer:
$11.22
Step-by-step explanation:
100% = 187
1% = 187/100 = $1.87
6% = 1%×6 = 1.87×6 = $11.22
Answer:
In this case, you need to calculate the 6% of the price, which is 187 $.
We only need to multiply the price (187) by the percentage (6%):
187 * 0.06 = 11.22
So the tax would be $11.22
The graph below shows the height an elevator travels, y, in x seconds:
A graph is shown with x axis title as Time in seconds. The title on the y-axis is Height of Elevator Above Ground in feet. The values on the x-axis are from 0 to 5 in increments of 1 for each grid line. The values on the y-axis are from 0 to 125 in increments of 25 for each grid line. A line is shown connecting points on ordered pair 1, 25 and 2, 50 and 3, 75 and 4, 100. The title of the graph is Rate of Ascent.
What is the rate of change for the relationship represented in the graph?
50
25
fraction 1 over 25
fraction 1 over 50
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Answer:
25 (ft/s)
Step-by-step explanation:
The "rate of change" is taken to mean the "rise" divided by the "run". Here, adjacent points differ in their y-value by 25 ft and their x-value by 1 second.
The rate of change is ...
rise/run = (25 ft)/(1 second) = 25 ft/second
Usually, we're just interested in the numerical value: 25.
_____
Additional comment
The graph is mis-labeled. It is not showing "rate of ascent." It is showing height as a function of time. The "rate of ascent" is the slope of the line on the graph, not its value.
The global surface water area is 361, 132,000 square metres. Calculate the volume of water needed to cause a 3mm in sea level.
Answer:
The volume of water is 396 cubic meter.
Step-by-step explanation:
Area of water, A = 132000 square meter
Height, h = 3 mm = 0.003 m
The volume of water is given by
V = Area x height
V = 132000 x 0.003
V = 396 cubic meter.
Write down all the Subsets of {20,40}
Answer:
{20}, {40}, {20,40}, { }
Select the correct answer.
The domain of function ris(-00,-7) U (-7,5) U (5,00), and the value of the function approaches 1 as x approaches -oo and co. Which function
could be function ?
O A f()=='
ОВ.
f(t)= 22 + 25 – 35
2: - 35
OC (0)
12 - 35 – 15
:2 + 25 - 35
2 + 25 - 35
OD.
f(t) = -2- 3. - 15
Reset
Next
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Answer: B
Step-by-step explanation:
The function is [tex]f(x) = \dfrac{2 x - 35}{x^{2} + 2x - 35}[/tex] . Option B is correct.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
The value of the given function approaches -∞ as x approaches -∞ is,
[tex]f(x) = \dfrac{2 x - 35}{x^{2} + 2x - 35}[/tex]
The function is showing the approach of the function in the x-y plane.
Hence, the function is [tex]f(x) = \dfrac{2 x - 35}{x^{2} + 2x - 35}[/tex] . Option B is correct.
To know more about functions follow;
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Help please Find the measure of the missing angles.
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Answer:
x = 64°
y = 26°
Step-by-step explanation:
Angle x and 26° together make a right angle, so ...
x = 90° -26° = 64°
Angles x and y together make a right angle, so ...
y = 90° -(90° -26°) = 26°
Please help!!!!!!!!!!!!
9514 1404 393
Answer:
(c) 16°
Step-by-step explanation:
The external angle at P is half the difference of the intercepted arcs:
P = (90° -58°)/2 = 32°/2
P = 16°
Round 325.6809 to the nearest hundredth. Enter your answer in the space
provided
Answer:
Step-by-step explanation:
First, from the decimal place move right two spacespassing up the first space which is the Tenths place
landing on the second space which is the Hundreths place 325.6809Next, you will look at the third space or the Thousandsths place and determine if it is either,5 and above, in which case you increase the digit to the left by 1
Or
4 and below, which is when you leave the digit to the left aloneIn this case, our Thousandths place is below 4 which means we will leave it alone 325.6809
Finally to finish the problem, the end of your rounded number will be cut off. Leaving you with your answer. 325.68
a study of patients who were overweight found that 53% also had elevated blood pressure. if a patient is randomly selected find the probability that he has elevated blood pressure
Answer:
53%
Step-by-step explanation:
says it in the question lol
A. Two numbers are in the ratio 5:7. When 3 is added to each number, the new ratio becomes 3 : 4. Find the numbers.
Answer:
answer is 3 and ratio of two different numbers
5. A Ferris wheel at an amusement park measures 16m in diameter. It makes 3 rotations
every minute. The bottom of the Ferris wheel is 1m above the ground. Riders board the
Ferris wheel at the minimum point.
a) Determine the equation that models Emily's height (m) with respect to time (in seconds)
above ground. [3A]
b) A 12m tree stands near the Ferris wheel. For how long (in seconds) is Emily higher than
the tree during the first rotation? Round to 2 decimal places. [4A]
Following are the responses to the given points:
For point a:
[tex]Diameter\ (d)= 16\ m\\\\[/tex]
Calculating the 3 rotations for every minute:
Calculating time for completing 1 rotation:
[tex]1\ rotation=\frac{60}{3}= 20\ second\\\\period=20 \ second\\\\[/tex]
The standard form of the equation of the sine and cosine function is:
[tex]y=A \sin \{ B(x-c)\} +D\\\\y=A \cos \{ B(x-c)\} +D\\\\[/tex]
Calculating the Amplitue:
[tex]A=\frac{max-min}{2}=\frac{17-1}{2}=\frac{16}{2}=8\\\\Period=\frac{2\pi}{B}\\\\20=\frac{2\pi}{B}\\\\B=\frac{2\pi}{20}\\\\B=\frac{\pi}{10}\\\\[/tex]
Calculating the phase shift:
for [tex]\sin[/tex] function: [tex]c=5[/tex]
for [tex]\cos[/tex] function: [tex]c=10[/tex]
Calculating the vertical shift:
[tex]\to D=\frac{max+ min }{2}=\frac{17+ 1}{2}=\frac{18}{2}=9\\\\y=8 \sin \{ \frac{\pi}{10}(t-5)\} +9\\\\y=8 \cos \{ \frac{\pi}{10}(t-10)\} +9\\\\[/tex]
For point b:
[tex]y> 12\ m\\\\12=8 \sin \{ \frac{\pi}{10}(t-5)\} +9\\\\12-9=8 \sin \{ \frac{\pi}{10}(t-5)\} \\\\3=8 \sin \{ \frac{\pi}{10}(t-5)\} \\\\\frac{3}{8}=\sin \{ \frac{\pi}{10}(t-5)\} \\\\\sin^{-1}\frac{3}{8}=\frac{\pi}{10}(t-5) \\\\\frac{\pi}{10} (0.38439677)=(t-5) \\\\1.22357+5=t \\\\t=6.22357\ second\\\\t=6.22\ second\\\\\sin^{-1}\frac{3}{8}=\frac{\pi}{10}(t-5) \\\\\frac{\pi}{10} (2.7571961)=(t-5) \\\\t=8.7764+5\\\\t=13.78\ second\\\\t_2-t_1=13.7764-6.22357= 7.55283\approx 7.55\ second \\\\[/tex]
Learn more:
Rotation: brainly.in/question/39626227
A person can see the top of a building at an angle of 65°. The person is standing 50 ft away from
the building and has an eye level of 5 ft. How tall is the building to the nearest tenth of a foot?
O 107.2 ft
O 112.2 ft
O 50.3 ft
O 26.1 ft
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Answer:
(b) 112.2 ft
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
For the given geometry, this becomes ...
tan(65°) = (height above eye level)/(50 ft)
Then we have ...
(height above eye level) = (50 ft)tan(65°) = 107.2 ft
Adding the height of eye level will give us the height of the building.
building height = (eye level height) + (height above eye level)
building height = (5 ft) + (107.2 ft)
building height = 112.2 ft
How to do this please help
Answer:
[tex]\frac{1}{9}[/tex] feet³
Step-by-step explanation:
[tex]\frac{1}{3}[/tex]×[tex]\frac{2}{3}[/tex]×[tex]\frac{1}{2}[/tex]=[tex]\frac{2}{18}[/tex]=[tex]\frac{1}{9}[/tex]
Answer:
V = 1/9 ft^3
Step-by-step explanation:
The volume is given by
V = l*w*h where l = length, w = width, h = height
V = 1/3 * 2/3 * 1/2
V = 2/9*1/2
V = 1/9 ft^3
The Gallup Poll reported that 56% of Americans want to lose weight. If 7 people are selected at random, find the probability that they all want to lose weight. Please round the final answer to 2 or 3 decimal places.
Answer:
[tex]P(7)=0.0172[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size [tex]n = 7[/tex]
Probability of Event [tex]P(x)=56\%[/tex]
Therefore
[tex]P(7)=^nC_x*P^n*(1-P)^0[/tex]
[tex]P(7)=^7C_{7}*(0.56)^7*(1-(0.56))^0[/tex]
[tex]P(7)=0.0172[/tex]
PLEASE i need the answers!!!!!!!!!
I have no time please if you know the answer please tell MEEE!!!!!!!!!!!
Answer:
5x^2(2-3x)
(n+4)(x+y)
Step-by-step explanation:
A piece of art is in the shape of an equilateral triangle with sides of 7 inches each. Find the area of the piece of art to the nearest tenth. Explain how you know.
Answer:
21.2 in²
Step-by-step explanation:
The area of an equilateral triangle is given as :
Area, A = √3/4 * a²
Where, a = side length of the equilateral triangle
a = 7 inches ; Recall that all sides of an equilateral triangle are the same.
Put a = 7 in the equation :
A = √3/4 * a²
A = √3/4 * 7²
A = 0.4330127 * 49
A = 21.217 in²
Area, A = 21.2 in²
A new restaurant sells cheeseburgers for 6$, french fries for 3$, and salads for 8$ On opening night, the restaurant sold items and made 1070$. They sold 4 times as many fries as salads. How many cheeseburgers were sold?
Answer:
25 cheeseburger
Step-by-step explanation:
I checked and get that 4 times fries as many as salad means that fries = 4 times Salad.
Brainliest please~
25 cheeseburgers were sold.
What is algebraic expression?In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.
Let cheeseburger be x
Price of x = 6
Let French Fries be y
Price of y = 3
Let salads be z
Price of z=8
x+ y+ z =220
6x + 3y + 8z = 1070
4 y = z 4 times as many as
= 4 times - Fries is more than Salad
Substitute 3 in 1
x + 4 z + z =220
x+5z =220
Substitute 3 in 2
6x + 12z +8z = 1070
6x + 20z = 1070
3x + 10z - 535
From 4: x=220-5z
Substitute into 3 (220-5z) +10z = 535
660 - 15z+10z=535
- 5z = - 125
z = 25
To learn more about algebraic expressions refer to:
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Simplify 12w + 2 (w + 3)
Answer:
= 14w + 6
Step-by-step explanation:
= 12w + 2w + 6
Add similar elements: 12w + 2w = 14w
= 14w + 6
PLEEASE HELP ME IM RUNNING LATE
If mC = 49 , find the values of x and y.
Answer:
m∠y=41
m∠x=90
Step-by-step explanation:
It is an isosceles triangle, so m∠B=49 too
49+49=98
180-98=82
82÷2=41
m∠y=41
41+49=90
180-90=90
m∠x=90
Which ratio expresses the scale used to create this drawing?
1 square=10 yards
Answer:
option B
Step-by-step explanation:
option B
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