[tex]x = 74°[/tex] ✔
Step-by-step explanation:We know that,
[tex]\sf\purple{Sum\:of\:angles\:of\:a\:triangle}[/tex] = 180°
[tex]➡ \: 32° + x + x = 180° \\ ➡ \: 2x = 180° - 32° \\ ➡ \: x = \frac{148°}{2} \\ ➡ \: x = 74°[/tex]
To verify:-[tex]32°+74°+74°=180°\\✒\:180°=180°[/tex]
✒ L. H. S = R. H. S
Hence verified. ✅
[tex]\large\colorbox{orange}{Happy\:learning.✌️}[/tex]
An antique chair was purchased in the year 2013 for $500. At the time of purchase, an appraiser estimated that
the value would increase by 10% every year. Which of the following functions can be used to model the
estimated dollar value of the chair years after purchase?
(A) f(t) = 500(0.1)
(B) f(t) = 500(0.9)
(C) f(t) = 500(1.1)
(D) f(t) = 500(10)
(E) f(t) = 510+
Answer:
A
Step-by-step explanation:
To find 10% of 500 you would multiply 500 by 0.1
Find the measure of the missing side. Round
to the nearest tenth (one number after the
decimal). Someone please solve for me
A circle has a radius of 67 centimeters. What is its circumference in
terms of ?
Answer:
134π
Step-by-step explanation:
c = 2πr
c = 2π(67)
c = 134π
What is the remaining area
Sams rectangular swimming pool measures 1 1/2 meters deep, 10 meters long, and 7 meters wide. What is the volume of the swimming pool?
Answer:
[tex]105\:\mathrm{m^3}[/tex]
Step-by-step explanation:
The volume of a rectangular prism is given by [tex]V=l\cdot w\cdot h[/tex]. Plugging in given values, we have [tex]V=1.5\cdot 10\cdot 7=\boxed{105\:\mathrm{m^3}}[/tex].
Answer:
105
Step-by-step explanation:
Length × Width × height
10×7× 1.5
(10×7) 1.5
70×1.5
=105
PLEASE HELP ! Determine the type of triangle drawn below.
Answer:
Scalene,right angled triangle
Hope it helps
what is the value of 5.4
54 tenths
54 hundredths
54 ones
540 tenths
Answer:
The third option if you ment to type 54 and not 5.4 if you meant 5.4 then that would be 5 and four tenths.
Step-by-step explanation:
Hope this helps ❤️
200 shares of a stock were bought for $58 per share the broker's
commission was $40 plus $0.25 / share. The stock was later sold for $66/
share the broker's commission was $50 plus $0.32/ share. Calculate the
profit from the sale
$1596
$1000
$1396
$1624
Answer:
1396
Step-by-step explanation:
Profit= revenue-cost
Let's start off by calculating the revenue (the amount they get when they sold the stock) 200*66=13200
Now we need to calculate the cost
40+50+200(.32+.25+58)=11804
13200-11804=1396
Answer:C is correct
Step-by-step explanation:
200*58= 11600
Commission = 40+ (200*0.25)
Commission = 90
Total = 11690
Sell
200*66= 13200
Commission 50+ (0.32*200)
Commission = 114
Sell for 13200-114 = 13086
Profit = 13086 - 11690
Profit = 1396
It is helpful
If someone can help me with this I’ll mark you Brainlyest
Answer: For 1
B
Step-by-step explanation:
15,700/ 1/4= 15,700-3,925-3,000/12 =731.25
A child’s shoe box measures 4" by 6" by 3". What is the longest pencil you could fit into this box?
Answer:
5in
Step-by-step explanation:
Given data
Lenght= 4 in
Width= 6 in
Height= 3 in
Applying the Pythagoras theorem,
Let the longest pencil that could fit in be z
z^2= l^2+ h^2
z^2= 4^2+ 3^2
z^2= 16+9
z^2= 25
z= √25
z= 5 in
Hence the longest pencil is 5in
While shopping for clothes, Jaclyn spent $41 less than 2 times what Curtis spent. Jaclyn spent $27. Write and solve an equation to find how much Curtis spent. Let x represent how much Curtis spent.
Answer:
Step-by-step explanation:
qiofuqbfqobdbdbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
The following data are the monthly salaries y and the grade point averages x for students who obtained a bachelor's degree in business administration.
GPA Monthly Salary ($)
2.6 3,500
3.4 3,800
3.6 4,200
3.1 3,700
3.4 4,200
3.1 2,500
The estimated regression equation for these data is = 2090.5 + 581.1x and MSE = 21,284.
Required:
a. Develop a point estimate of the starting salary for a student with a GPA of 3.0
b. Develop a 95% confidence interval for the mean starting salary for all students with a 3.0 GPA (to 2 decimals).
c. Develop a 95% prediction interval for Ryan Dailey, a student with a GPA of 3.0 (to 2 decimals).
Answer:
1.) 3833.8
2.) (3428.81 ; 4238.79)
Step-by-step explanation:
1.)
Point estimate of the salary for student with GPA of 3.
Using the regression model given :
Y = 2090.5 + 581.1x
x = 3
Y = 2090.5 + 581.1(3)
= 3833.8
2.)
95% confidence interval :
Y ± Tcritical * √MSE
Y = point estimate at x =3 ; = 3833.8
MSE = 21,284
Tcritical at 95% ; df = n-2 = 6-2 = 4
Tcritical(0.025 ; 4) = 2.776
√MSE = √21284 = 145.89036
Lower boundary : 3833.8 - 2.776(145.89036) = 3428.81
Upper boundary : 3833.8 + 2.776(145.89036) = 4238.79
(3428.81 ; 4238.79)
Rewrite in vertex form. y=x2+2x+6
Answer:
[tex]y = {x}^{2} + 2x + 6 \\ y = {( - 1 + i)}^{2} [/tex]
Answe
y=(x+1)2+5
Step-by-step explanation:
qqqqqqqqqnxkkakakzmmz
Answer:
If in rectangular coordinates we have a point (x, y), then the angle defined between the x-axis and a ray that connects the point with the origin is defined by:
Tan(θ) = y/x
Cos(θ) = x/(√(x^2 + y^2))
Sin(θ) = y/(√(x^2 + y^2))
Ctg(θ) = x/y
Sec(θ) = √(x^2 + y^2)/x
Csc(θ) = √(x^2 + y^2)/y
Ok, now we have all the equations.
We know that:
Sec(C) = 30/24
Then:
√(x^2 + y^2) = 30
x = 24
Replacing x in the first equation we get:
√(24^2 + y^2) = 30
y = √(30^2 - 24^2) = 18
Then we have:
x = 24
y = 18
√(x^2 + y^2) = 30
So we can just replace these in the equations:
Tan(C) = y/x = 18/24
Cos(C) = x/(√(x^2 + y^2)) = 24/30
Sin(C) = y/(√(x^2 + y^2)) = 18/30
Ctg(θ) = x/y = 24/18
Sec(θ) = √(x^2 + y^2)/x = 30/24
Csc(θ) = √(x^2 + y^2)/y = 30/18
IF U GET CORRECT U GET BRAINLIEST
The last five houses built in town sold for the prices shown below. Find the mean price. Use pencil and paper. If a new house built in the town sold for $160,000, how would that affect the mean?
prices: $181,00; $187,00; $144,00; $176,00; $175,00
what is the mean price of the houses??
Answer:
172,600
Step-by-step explanation:
hii so basically the mean is the same as average so add all together and divide by how many prices in this case there originally were
so 181,000+187,000+144,000+176,000+175,000=863,000
then divide by 5
863,000/5=172,600
hope this helped !
Mai and Elena are shopping for back-to-school clothes. They found a skirt that originally cost $30 on a 15% off sale rack. Today, the store is offering an additional 15% off.
To find the new price of the skirt, in dollars, Mai says they need to calculate 30. 0.85 0.85. Elena says they can just multiply 30.0.70.
1. How much will the skirt cost using Mai's method?
2. How much will the skirt cost using Elena's method?
3. Explain why the expressions used by Mai and Elena give different prices for the skirt.
Answer:
Mai
Step-by-step explanation:
1. 21.675 R $22
2. $21
Mai is the correct method because 15%-100%=85, which shows the percentage that is left to multiple. Then she multiples 0.85 times 2 as she was able to take off 15% twice. Elena's is incorrect because she added the two 15% off and subtracted that by 100 giving her 70. Which is the incorrect decimal to multiple by. Hope this helps.
Go check out Quelenasboutique on Etsy
The average score of 100 students taking a statistics final was 70 with a standard deviation of 7. Assuming a normal distribution, what test score separates the top 5% of the students from the lower 95% of students?
Answer:
Hence, the answer is [tex]x>71.1515[/tex]
Step-by-step explanation:
We have,
[tex]n=100,\mu=70,\sigma=7[/tex]
The top percentage of the students is [tex]5\%[/tex]
The lower percentage of the students is [tex]95\%[/tex]
The lowest [tex]95\%[/tex] is the left area from the normal distribution table, the area [tex]0.95[/tex] lies in the z-table
[tex]z=1.645[/tex] from the z- table
[tex]P(z<1.645)=0.95\\P(z>1.645)=0.05\\z>1.645[/tex]
[tex]\frac{x-\mu}{\frac{\sigma}{\sqrt{\mu}} } >1.645\\x>1.645\times \frac{\sigma}{\sqrt{n}} +\mu[/tex]
[tex]>1.645\times \frac{7}{\sqrt{100}} +70[/tex]
[tex]\Rightarrow x>71.1515[/tex]
What is the volume of the rectangular prism? The numbers are 8 3/8m, 6m, 8 1/4m
5. Ms. Brown's flight left at 9:20 A.M. Her plane landed 1 hour and 23 minutes later. What time did her plane land?
asap please thank you so much
Answer:
the plane landed at 10:43 A.M
1/5 *6x-3=1/10(6x+12)
Answer:
x = 7
Step-by-step explanation:
We solve the equation the following way...
[tex]\frac{1}{5}6x - 3 = \frac{1}{10}(6x + 12)\\1.2x = 0.6x + 1.2 + 3\\1.2x - 0.6x = 1.2 + 3\\0.6x = 4.2\\6x = 42\\x = 7[/tex]
Can someone answer this question please
Answer:
118
Step-by-step explanation:
Answer:
118⁰
if it is across it is the same number
HELP WILL GIVE BRANLIEST!
Answer:
Step-by-step explanation:
The area of the region under the curve of a function f(x) = ax + b on the interval [0, 4] is 16 square units.
(a, b) can't equal
The area of the given region under the curve of a function f(x) = ax + b on the interval [0, 4] is 16 square units. So, all the options satisfy the value of a and b except (7, -9).
How to find the area of a region?Supposing that there is no direct formula available for deriving the area, we can derive the area of that region by dividing it into smaller pieces, whose area can be known directly.
Then summing all those pieces' area gives us the area of the main big region.
The area of the given region under the curve of a function f(x) = ax + b on the interval [0, 4] is 16 square units.
f(x) is a linear function, the area under the curve on the interval [0,4] is a trapezoid with a height of 4 and bases of lengths f(0) and f(4).
The area of a trapezoid is the height times the average of the bases.
a. f(x)=-2x+8 f(0)=8, f(4)=0;
area = 4(8/2) = 16
b. f(x)=x+2; f(0)=2, f(4)=6;
area = 4(8/2) = 16
c. f(x)=3x-2; f(0)=-2, f(4)=10;
area = 4(8/2) = 16
d. f(x)=5x-6; f(0)=-6, f(4)=14;
area = 4(8/2) = 16
e. f(x)=7x-9; f(0)=-9, f(4)=19;
area = 4(10/2) = 20
Thus, The area is NOT 16 for choice e.
Learn more about Area here:
https://brainly.com/question/13056790
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1. Find the approximate volume of a sphere with a diameter of 12cm
2. Find the approximate volume of a cone with a diameter of 14cm and a height of 9 cm
Answer:
si simon chavon
Step-by-step explanation:
What are the values of a and b
Answer:
a equal to five.b equal to three
b=3
What value of x satisfies this equation?
log(2x)=2
Answer:
[tex] log(2x) = 2 \\ 2x = {10}^{2} \\ 2x = 100 \\ x = 50[/tex]
The value of x that satisfies this equation log(2x) = 2 is 50
How to determine the value of x?The equation is given as:
log(2x) = 2
Change the equation to an exponential equation
2x = 10^2
Evaluate the exponent
2x = 100
Divide both sides by 2
x = 50
Hence, the value of x that satisfies this equation log(2x) = 2 is 50
Read more about equations at:
https://brainly.com/question/2972832
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If you help me l will give you the brainlest ☑️☑️
Answer:
64 (if 4 x 4 x 4) or
12 (it could be any of them)
Step-by-step explanation:
Since "3" is related to l x w x h.
You can either do 4 x 4 x 4
or
4 x 3
It depends what formula (aka L x W x H).
Answer:
64
Step-by-step explanation:
= [tex]4^{3}[/tex]
= (4) * (4) * (4)
= 64
Hope this helps :)
Can anyone help? I’ll give Brainly :) it’s not 20 x 0.10
Answer:
2%
Step-by-step explanation:
To solve this use the formula given
We have the share price but need the annual dividend
The quarterly dividend is .10 which means the annual dividend is just .10*4 or .4
.4/20= .02 or 2%
Answer:
2% .Hope this helps you.
Choose the system of equations which matches the following graph: a line includes points 0 comma 4 and 2 comma 3. A line includes points 0 comma 3 and 4 comma 1
Answer:
17
Step-by-step explanation:
Step-by-step explanation:
1838584848484884727738383
Please answer number 5 for brainliest:)