Mr. Jacobsen is an electrical engineer. He earns 150,000 (GROSS) a year. He pays 20% income tax. How much income tax does he pay?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 15000}}{\left( \cfrac{20}{100} \right)15000}\implies 30000[/tex]
I really need help!!!!!!!!!!!!!!
Answer:
Step-by-step explanation: After purchasing 21 DVDs the membership is worth the money with a total spending of 104 dollars compared to 105 dollars without the membership.
Membership: -20, -24, -28, -32, -36, -40, -44, -48, -52, -56, -60, -64, -68, -72, -76, -80, -84, -88, -92, -96, -100, -104
No Membership: 0, -5, -10, -15, -20, -25, -30, -35, -40, -45, -50, -55, -60, -65, -70, -75, -80, -85, -90, -95, -100, -105
A scale model of a ramp is a right triangular prism as given in this figure. in the actual ramp, the triangular base has a height of 0.5 yards. what is the surface area of the actual ramp, including the underside? enter your answer as a decimal in the box.
The surface area of the actual ramp including the underside is 16.8 ft²
The height of the actual ramp = 1.2 feet
The height of the model = 6 cm
What is the surface area of a right triangular prism?A right triangular prism is a 3-dimensional triangle with two congruent triangular faces and 3 rectangular faces that connect the triangular.
The surface area of a right triangular prism
= (Perimeter of the base × Length of the prism) + (2 × Base Area)
Scale factor = 1.2 feet / 6 cm = 0.2 ft/cm
Actual base = 16 cm × 0.2 ft/cm = 3.2 ft
convert the units
9 cm = 9 cm × 0.2 ft/cm = 1.8 ft
10 cm = 10 cm × 0.2 ft/cm = 2 ft
The surface area of a right triangular prism
= (Perimeter of the base × Length of the prism) + (2 × Base Area)
Surface area of actual ramp = 2(0.5 × 3.2 ft × 1.2 ft) + 2(2 ft × 1.8 ft) + (1.8 ft × 3.2 ft)
= 16.8 ft²
Hence, the surface area of the actual ramp including the underside is 16.8 ft²
Learn more about the area here:
brainly.com/question/25292087
Answer:
7.2 yd² for K12
Hello people ~
If the complement of an angle is 79°, then the angle will be of
(a) 1° (b) 11° (c) 79° (d) 101°
Hey there!
Complementary angles add up to 90 degrees.
We are given
An angle of 79 degrees
and we're asked to find the complement of the angle.
So let's set up an equation:
79+x=90
where x=the unknown angle
Subtract 79 from both sides:
79-79+x=90-79
x=11
Hence, the measure of the unknown angle is
[tex]\boxed{\boxed{\bold{11}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#LearningIsFun
[tex]\rule{200}{2}[/tex]
(b) 11°
The sum of two angles is equal to 90 degrees.
Here, one angle is 79°
let the other angle be xsteps:
x + 79° = 90°x = 90° - 79°x = 11°Item 3
Solve for b.
16=a2+b2
b=16−a2
b=4−a
b=±16+a2−−−−−−√
b=±16−a2−−−−−−√
Answer:
I'm taking the test right now so i'll tell you the right answer after I submit my test but for now I think it's C.
You have a circle with a circumference of 25.12 what is the radius?
Answer:
r 4 3.99797
Step-by-step explanation:
Hey ! there
Answer:
Radius = 4Step-by-step explanation:
In this question we have given that a circle have a circumference of 25.12 . And we are asked to find the radius of the circle .
We have to solve this question with the help of circumference formula for circle that is ,
[tex] \qquad\: \quad\underline{\boxed{ \frak{{Circumference_{(Circle)} = 2\pi r}}}}[/tex]
Where ,
π refers to 3.14 or 22/7r refers to radius of circleSolution : -
For solving the question we must have to substitute value of π , radius and then we have to equate it with given circumference that is 25.12. So ,
[tex] \longmapsto \qquad \:\: 2 \times 3.14 \times r = 25.12[/tex]
Step 1 : By multiplying 2 , 3.14 and r , We get :
[tex] \longmapsto \qquad \: \:6.28r = 25.12[/tex]
Step 2 : Dividing with 6.28 on both sides :
[tex] \longmapsto \qquad \: \: \dfrac{ \cancel{6.28}r}{ \cancel{6.28}} = \cancel{\dfrac{25.12}{6.28} }[/tex]
On further calculations, We get :
[tex] \longmapsto \qquad \: \: \pink{\underline{\boxed{ \frak{r = 4}}}}[/tex]
Henceforth , radius of circle is equal to 4 .Verifying : -
Now we are verifying our answer by finding the circumference of circle and equating it with 25.12 and if it will equal to 25.12 then our answer is correct . So ,
2πr = 25.122 × 3.14 × 4 = 25.126.28 × 4 = 25.1225.12 = 25.12L.H.S = R.H.SHence, Verified.Therefore our answer is correct .
Please Note : We aren't using any unit for the values because in the question no units are provided .
#Keep LearningIf 8 parts take 20 minutes to make, how many minutes does it take to make 6 parts?
Answer: 15 mins
Step-by-step explanation:
20 ÷ 8 = 2.5 (how many Mins 1 part takes)
2.5 x 6 = 15
It will take 15 minutes does it take to make 6 parts.
What is the unitary method?The unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
If 8 parts take 20 minutes to make then 1 part take x time which is equal to;
[tex]\rm x=\dfrac{20}{8}\\\\x= 2.5 \rm \ minute[/tex]
One part takes 2.5 minutes.
The minutes does it take to make 6 parts are;
[tex]= 6 \times 2.5\\\\=15[/tex]
Hence, it will take 15 minutes does it take to make 6 parts.
To know more about the unitary method click the link given below.
https://brainly.com/question/13823511
#SPJ4
A triangle has angles of 124°, 28°, and 28°. Will these angles create a triangle?
Answer:
yes it will
Step-by-step explanation:
28+28=56
124+56=180
a triangle consists of angles that add up to 180 degrees
Best answer gets brainliest!
Answer: Best answer gets brainliest!
90+120= 210Step-by-step explanation:
Add the amount of students together!
Hopefully this helps you!
-Keira
First, let's check how many 7th grade students take the bus.
On the graph, find "7th grade"
There are 90 7th grade students taking the bus.
Same with the 8th grade:-
120 students
How many 7th & 8th grade students take the bus?
The sum of the 7th grade students & the 8th grade students is your answer.
So, add:-
[tex]\sf{90+120}[/tex]
[tex]\bigstar{\boxed{\pmb{210~students}}\longleftarrow\sf{Option~B~is~correct}}}[/tex]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)
Zoe has a circular shaped rug on her bedroom floor. The diameter of the rug is 8 feet. What is the circumference of the rug?
Answer:
It is 25.13 (simplified)
Step-by-step explanation:
3.14(pi) x 8 is 25.14
A map has a scale of 1 cm : 9 km. If two cities are 2 centimeters apart on the map, what is the actual distance between the cities?
Answer:
18 kilometers
Step-by-step explanation:
If each 1 cm represents 9 kilometers.
How many would 2 cm represent?
[tex]x = \frac{9 \times 2}{1} = 9 \times 2 = 18[/tex]
A stained glass window has the dimensions shown. What is the perimeter of the hole that should be cut in the wall in order for the window to be installed?
Answer: She observed older fossils that contained many of the same minerals as the newer ones
Step-by-step explanation:
Answer:
chaupapi
\\
Step-by-step explanation:
Write the word sentence as an inequality.
the sum of a number w and 2.56 is at least 10.24
Answer:
w + 2.56 ≥ 10.24
Step-by-step explanation:
The least w + 2.56 could be is 10.24 which means that w + 2.56 could be more than 10.24
-3/10x (-0.1) can you please help ASAP
[tex] \frac{ - 3}{10} \times ( - 0.1)[/tex]
[tex] \frac{ - 3}{10} \times \frac{ - 1}{10} [/tex]
–3 × –4
10
[tex] \frac{12}{10} [/tex]
[tex] \frac{6}{5} answer[/tex]
HOPE THIS HELPS :)The speed of a wave in the ocean in meters per second can be determined using the function f(x) = 3.13[tex]\sqrt{x}[/tex] ,
where x represents the depth in meters of the water under the wave.
a. Graph the function.
b. Identify the domain and range.
c. How fast are the waves in the figure moving over the water?
Answer:
See below ↓
Step-by-step explanation:
a. In the attachmentb. Domain : x ≥ 0, Range : y ≥ 0c. f(x) = 3.13√10 = 9.89 m/sa. Graph shown Below.
b.
domain is in x-axisrange is in y-axisdomain : x ≥ 0
range : f(x) ≥ 0
c.
rate of waves:
[tex]\sf f(x) = 3.13\sqrt{x}[/tex]
the wave is 10 m above the sea
[tex]\sf f(x) = 3.13\sqrt{10}[/tex]
[tex]\sf f(x) = 9.9 \ m/s[/tex]
6. Find the mean and the median for these data,
Mean
Median
The points scored by a basketball team in its last 6 games
are shown. Use these data for 7 and 8.
Points Scored
73
77
85
84
37
115
7. Find the mean score and the media
Answer:
73+77+85+84+34+115 and the basket ball team got from the game
Given KL←→− is tangent to ⊙F at point J, select all the statements that must be true
Given that the tangent KL to the circle at point J and the interior triangles ∆JGL, and ∆JFL, we have;
C. mHJL = mJGH
D. mGHJ = mKJG
How can the true statements be found?From the tangent secant interior angles measure theorem, we have;
mHJL = 0.5•mJFH
mJGH = 0.5•mJFH
Therefore;
mHJL = mJGHSimilarly
mGHJ = mKJGLearn more about the tangent and secant of a circle here:
https://brainly.com/question/25871159
A card is drawn from a well-shuffled deck of 52 cards. What is the probability of getting a red 10?
A. 1/2
B. 1/26
C. 1/13
D. 1/4
Answer:
1/13
Step-by-step explanation:
Knowing that:
In a deck of card half of the deck of card are red: 1/2
Also means 52/2 = 26
There are 2 red 10 in a deck of card.
Solve:
Since there are 2 red 10 in a deck of card and half of the deck of 52 card are red also known as 26.
Thus, the probability of getting a red 10 is 2/26. As you can see that not a answer choice. That because 2/26 is a even number as well as it means that it can be simplify.
GCD (or HCF) of 2 and 26 is 2.
Therefore, divide both by 2.
2/2 = 1
26/2 = 13
Hence, we can see that the simplify form is 1/13.
As a result, the probability of getting a red 10 is 1/13.
~lenvy~
what
arithmetic sequence with a_{4}=18 and a_{10}=48
Answer:
[tex]a_{n}[/tex] = 5n - 2
Step-by-step explanation:
the nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
given a₄ = 18 and a₁₀ = 48 , then
a₁ + 3d = 18 → (1)
a₁ + 9d = 48 → (2)
subtract (1) from (2) term by term to eliminate a₁
6d = 30 ( divide both sides by 6 )
d = 5
substitute d = 5 into (1) and solve for a₁
a₁ + 3(5) = 18
a₁ + 15 = 18 ( subtract 15 from both sides )
a₁ = 3
Then
[tex]a_{n}[/tex] = 3 + 5(n - 1) = 3 + 5n - 5 = 5n - 2
ba^4 * (2ba^4)^-3
Please help
Answer:
1/(8b^2a^8)
Step-by-step explanation:
The given expression can be simplified using the rules of exponents.
[tex]ba^4\times(2ba^4)^{-3}=\dfrac{ba^4}{(2ba^4)^3}=\dfrac{ba^4}{8(ba^4)^3}=\dfrac{1}{8(ba^4)^2}=\boxed{\dfrac{1}{8b^2a^8}}[/tex]
__
The applicable rules of exponents are ...
a^-b = 1/a^b
(a^b)^c = a^(bc)
(ab)^c = (a^c)(b^c)
__
Additional comment
It can be useful to think of an exponent as indicating repeated multiplication: 2^3 = 2×2×2, for example. Of course, the repeated multiplication can be nested: (4^2)^3 = (4^2)×(4^2)×(4^2) = (4×4)×(4×4)×(4×4) = 4^6
Numerator and denominator factors cancel in the usual way.
30 feet is equivalent to how many inches?
Answer:
360 inches
Step-by-step explanation:
Each foot is 12 inches. The number of inches in 30 feet is found by multiplying the number of inches in 1 foot by 30.
30 × (12 inches) = 360 inches
please help need this now
Answer:
hope this helps
Step-by-step explanation:
What is the value of y in the equation 2 + y = −3?
I believe that y is equal to -5.
y=-5
The table represents some points on the graph of a linear function
x y
-7 -2
-3 4
5 16
15 31
What is the rate of change of y with respect to for this function?
A. 2/3
B 3/2
C - 2/3
D - 3/2
Answer:
D
Step-by-step explanation:
C666666666666666666666
HELP PLEASE I WILL GIVE BRAINLIEST
Answer:
y= -1/2x
Step-by-step explanation:
Option B passes through the origin, by -1/2x
Cover the entire area except for today's date and year April, 1st, Monday
Answer:
It's friday for me so here u go
Step-by-step explanation:
what are factors of the expression [tex]x^{2}[/tex]+x 20?
Answer:
Step-by-step explanation:
answer: (x-4)(x+5)
x^2 + x - 20
x^2 + 5x -4x -20
x^2 + 5x - 4x - 20
x(x+5) -4 (x+5)
x(x+5)-4(x+5)
(x-4)(x+5)
How many ice cream desserts consisting of four scoops, of either vanilla or hazelnut flavor, are possible
2 flavors and 4 scoops
total different possibilities = 2^4 = 16
answer: 16
Given this regular pentagon and the side measurement of 6, find
the length of the apothem. round your answer to the nearest
hundredths.
The length of apothem for a regular pentagon and the sidemeasurement of 6 is 4.13 unit
What is apothem?
Apothemis a line segment from the center to the midpoint of one of the sides of a regular polygon .
The length of apothem (a) is given by:
[tex]a=\frac{s}{2*tan(\frac{180}{n} )} \\\\Where\ n\ is\ number\ of\ sides\ and\ s=side\ length\\\\Given:\\n=5,s=6, hence:\\\\a=\frac{6}{2*tan(\frac{180}{5} )}=4.13[/tex]
The length of apothem for a regular pentagon and the sidemeasurement of 6 is 4.13 unit
Find out more on apothem at: https://brainly.com/question/369332
Help!!!!!!! v is a vector of magnitude 4 making an angle of 30° with the positive x-axis. find v in component form .
Since v is a vector of magnitude 4 and makes angle 30° with the positive x axis, vector v in component form is v = 2√3i + 2j
To find vector v in component form, we need to know what a vector is
What is a vector?A vector is a physical quantity that has both magnitude and direction.
Component of a vectorA vector can be resolved into perpendicular components along the x, y and z axis.
Components of vector vSince vector v has a magnitude of 4 making an angle of 30 with the positive x - axis, its x-component is V = (vcos30°)i
= (4cos30°)i
= (4 × √3/2)i
= 2√3i.
The y-component of v is V' = (vsin30°)j
= (4 × sin30°)j
= (4 × 1/2)j
= 2j
Vector v in component form
So, vector v in component form is v = V + V'
= 2√3i + 2j
So, since v is a vector of magnitude 4 and makes angle 30° with the positive x axis, vector v in component form is v = 2√3i + 2j
Learn more about vectors here:
https://brainly.com/question/25705666