x = 10°
y = 112°
Step-by-step explanation:
From the definition of supplementary angles,
68° + y = 180° ---> y = 180° - 68° = 112°
From the definition of vertical angles,
(4x - 2) + 30 = 68
4x - 2 = 68 - 30 = 38
4x = 40
x = 10
Answer:
y+68=180(being straight angle)
y=180-68
y=112
4x-2=30
4x=28
x=7
Find the surface area of a regular square pyramid with a base edge length
of 9 feet and a slant height of 12 feet.
Answer:
Perimeter = 9 . 4=36 ft
lateral area=(perimeter . slant height) / 2 = (36 . 12) /2 = 216 sq ft
area of the base=9*9=81 sq ft
Surface area = LA+BA = 216 + 81 = 297 sq ft
Approximately how many square meters does the field cover? Use pi = 3.14.
9514 1404 393
Answer:
4041 m²
Step-by-step explanation:
The area is the sum of the areas of the circle and the central rectangle.
A = πr² + LW
A = (3.14)(18 m)² + (36 m)(84 m) = 1017.36 m² +3024 m²
A = 4041.36 m²
The field covers about 4041 square meters.
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
(4w-3)^2
what would be the answer to that?? please explain, i’m so confused.
Answer:
16w^2 - 24w + 9
Step-by-step explanation:
To simplify this, you would use the special product (a - b)^2 = a^2 - 2ab + b^2. We can correlate this with the given term so that,
a = 4w
and
b = 3
Now we just substitute into a^2 - 2ab + b^2
(4w)^2 - 2(4w)(3) + (3)^2
16w^2 - 24w + 9
==========================================================
Explanation:
(4w-3)^2 is the same as (4w-3)(4w-3) because squaring something is the same as multiplying it by itself.
Another example would be something like 7^2 = 7*7
-----------
So we're asked to expand out (4w-3)(4w-3)
Let's make x = 4w-3 and replace that first copy of '4w-3' with 'x'
We get this expression: x(4w-3)
Distribute the x through to get...
x(4w-3)
x*4w + x*(-3)
4wx - 3x
-------------
Now replace the x with (4w-3) and apply distribution twice more
4wx - 3x
4w(4w-3) - 3(4w-3)
16w^2 - 12w - 12w + 9
16w^2 - 24w + 9 which is the answer
-------------
You can use the FOIL rule as an alternative method to get this answer. The box method is a visual tool to keep all the terms organized. See the attached image below for what I mean by the box method. The four terms inside the boxes represent the four terms from 16w^2 - 12w - 12w + 9, which was the second to last step we got shown above.
Yet another alternative you could use is the perfect square formula which is
(a-b)^2 = a^2 - 2ab + b^2
where in this case, a = 4w and b = 3.
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)
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
What is the volume of the rectangular prism? The numbers are 8 3/8m, 6m, 8 1/4m
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:
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HELP WILL GIVE BRANLIEST!
Answer:
Step-by-step explanation:
Find the measure of the missing side. Round
to the nearest tenth (one number after the
decimal). Someone please solve for me
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
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.
Slove for the value of m
Answer:
m = 6
Step-by-step explanation:
(8m+4) + 38 = 90 ( since they are complementary angles )
8m + 42 = 90
8m = 90 - 42
m = 48/8
m = 6
Answer:
38+8m+4=90 degree(being perpendicular)
42+8m=90
8m=90-42
m=48/8
m=6
Step-by-step explanation:
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:
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
Can someone answer this question please
Answer:
118
Step-by-step explanation:
Answer:
118⁰
if it is across it is the same number
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]
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 !
Please help . Determine the type of triangle that's drawn below.
Answer:
scalene Right
Step-by-step explanation:
um it has a 90 degree so yea
What are the values of a and b
Answer:
a equal to five.b equal to three
b=3
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
PLZ HELP NO LINK THIS IS EXTRA CREDIT BC IM FAILING OR I WILL HAVE NO SUMMER!!!!!
Answer:
Pretty sure its E sorry if I'm wrong I learned this like 2 years aho
What is the remaining area
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
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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
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 ❤️
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]
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
c=9.1 miles
Step-by-step explanation:
a^2+b^2=c^2
6.2^2+6.7^2=c^2
38.44+44.89=c^2
83.33=c^2
√83.33=c
c=9.12852671574
Round to nearest 10th
c=9.1
If this helps please mark as brainliest
Answer:
9.1 miles
Step-by-step explanation:
6.7²+6.2²=h² 44.89+38.44=h² 83.33=h² find the square root of 83.33
HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII68052wassupcan someonetell me whats 1+1 PLZZZZZZZZZZZZZZZZZZZZZZZZZ im so confused plz help
Answer:
yooooooo its 2
Step-by-step explanation:
PLEASE HELP ! Determine the type of triangle drawn below.
Answer:
Scalene,right angled triangle
Hope it helps