Answer:
about 42 the not rounded is 41.6
Answer:
60
Step-by-step explanation:
Multiply to find that the answer is: 41.6
To estimate, simply round the numbers before multiplying. That would be thirty percent of 200. The answer is 60. This is close to 41.6 and is a reasonable estimate.
4.55 is what percent of 6.5? Enter your answer in the box.
Answer: 70%
Step-by-step explanation:
Answer:
70%
Step-by-step explanation:
Practising
5. Write an equation for the diagram. Solve
your equation. Show your steps.
n
n
n
n
n
Question 22 (1 point)
Find the pair of acute angles that corresponds to the solution of the equation sin(3x + 3)° = cos(x + 71).
15°, 85°
a
Oь
15°; 75°
Ос
75°; 105°
O
d
11°, 790
Answer:
75,15
Step-by-step explanation:
[tex] \sin(90 - x) = \cos(x) [/tex]
[tex] \sin(90 - (3x + 3) = \cos(x + 71) [/tex]
[tex]90 - 3x - 3 = x + 71[/tex]
[tex]87 =4 x + 71[/tex]
[tex]16 = 4x[/tex]
[tex]x = 4[/tex]
Plug in 4 for x and one of the angles we get are 75 and the other would be 15.
Express cos I as a fraction in simplest terms
What is the value of x?
to
x = [?]°
o
Answer:
The value of x from the figure is 58 degrees
To get the value of x, we will use the formula:
The angle at the vertex = 1/2(difference of angles at the arc)
Angle at the vertex = 1/2(160 - x)
51 = 1/2(160 - x)
102 = 160 - x
x = 160 - 102
x = 58 degrees
Hence the value of x from the figure is 58 degrees
Find an expression which represents the sum of (6x-4)(6x−4) and (-2x+5)(−2x+5) in simplest terms
Answer:
40x^2-68x+41
Step-by-step explanation:
Multiply both expressions
(-2x+5)^2= 4x^2-20x+25
(6x-4)^2=36x^2-48x+16
Then add
Use multiplication table if you have difficulty with multiplying
Ex
-2x 5
-2x 4x^2 -10x
5 -10x 25
Then add them all to get the full expression
A bus company is replacing all the old seats in its buses with new ones. The company owns 12 buses and each bus has 21 seats. It costs $93.50 to
purchase each new seat, as well as an additional $31.20 to install each new seat. What is the total cost the company will pay?
Answer:
54,992.70$
Step-by-step explanation:
93.50 x 21 = 1963.5
31.20 x 21 = 655.2
1963.5 + 655.2 = 2618.7
2618.7 x 12 = 54,992.70$
Suppose that 21 inches of wire costs 63 cents.
At the same rate, how much (in cents) will 54 inches of wire cost?
Answer:
162 cents
Step-by-step explanation:
to find the rate you want take the inches which is 21 and divide by the cost which is 63 and find the rate is 3 which means each inch costs 3 cents and so with that rate you can find the cost of 54 inchest of wire so you take your 54 inches and multiply it by 3 which is the cents per inch and find that 54 inches of wire would cost you 162 cents
Which of the following is a factor of the expression 24x^2-30x-9?
Group of answer choices
12x+1
4x-3
2x+3
4x+1
Answer:
4x + 1
Step-by-step explanation:
24x² - 30x - 9 ( factor out 3 from each term )
= 3(8x² - 10x - 3) ← factor the quadratic
consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 8 × - 3 = - 24 and sum = - 10
the factors are + 2 and - 12
use these factors to split the x- term
8x² + 2x - 12x - 3 ( factor the first/second and third/fourth terms )
= 2x(4x + 1) - 3(4x + 1) ← factor out (4x + 1) from each term
= (4x + 1)(2x - 3)
then
24x² - 30x - 9 = 3(4x + 1)(2x - 3) ← in factored form
so (4x + 1) is a factor of the expression
A right triangle has one leg that is 7 centimeters. The hypotenuse is 25 centimeters. Find the length of the other leg.
Since this is a right triangle, we can use the Pythagorean Theorem to help us.
[tex](length-of-leg1)^2+(length-of-leg2)^2 = (length-of-hypotenuse)^2\\[/tex]
Known information:
one leg's length: 7 cmhypotenuse's length: 25cmNow let's plug the known information into the equation:
[tex]7^2 + (length-of-leg2)^2=25^2\\(length-of-leg2)^2 = 25^2-7^2\\\\(length-of-leg2)^2 = 576\\\\length-of-leg2=24[/tex]
Thus the length of the other leg is 24cm.
Hope it helps!
Describe how one of the advertisements uses an image to be persuasive. Is this image an example of pathos, logos, or ethos, or a combination of appeals? Why?
Answer:
Wheres the image??:)))
Step-by-step explanation:
pathos=a quality that evokes pity or sadness
logos= Logos, or the appeal to logic, means to appeal to the audiences' sense of reason or logic.
ethos= ethos means "custom" or "character" in Greek. As originally used by Aristotle, it referred to a man's character or personality, especially in its balance between passion and caution.
What is the sum of 10 of the interior angles of a regular dodecagon?
Answer: 1500
Step-by-step explanation:
180° x (12-2) = 180° x 10
= 1800°
(got 12 because a regular dodecagon has 12 congruent sides.)
1800°/ 12 =150
150° x 10= 1500°
Martin has a combination of 33 quarters and dimes worth a total of $6. which system of linear equations can be used to find the number of quarters, q, and the number of dimes, d, martin has? q d = 6 25q 10d = 33 q d = 6 0.25q 0.1d = 33 q d = 33 25q 10d = 6 q d = 33 0.25q 0.1d = 6
The linear equations which can be used to find the number of quarters, q, and the number of dimes, d will be [tex]q+d=33[/tex] & [tex]0.25q+0.1d=6[/tex]
What will be the Linear equation for the given data?It is given that
Martin has a combination of 33 quarters and dimes worth a total of $6.
Here
q = number of quarters
d = number of dimes
The linear equation can be represented as
[tex]0.1\ dollars =1 \ dime[/tex]
[tex]0.25\ dollars = \ 1 \ quarters[/tex]
now the equation will be
[tex]0.25q+0.1d=6[/tex]
The quarters and dimes in total 33. Therefore,
[tex]q+d=33[/tex]
Therefore, the combined equation will be as follows:
[tex]q+d=33[/tex]
[tex]0.25q+0.1d=6[/tex]
Thus linear equations will be [tex]q+d=33[/tex] & [tex]0.25q+0.1d=6[/tex]
To know more about Linear equations follow
https://brainly.com/question/15602982
Here are the three triangles for the last question!
See the analysis
[tex]Petermine\ the\ opposite\ side\\ to\ the\ angle\ and\ the\ adjacent\\ Side[/tex]
[tex]tan\propto=\frac{opposite}{adjacent}[/tex]
Answer to Question #11Answer: see the analysis.
[tex]Solution:\\ The\ sine\ of\ an\ angle\ is\ the\ ratio\ of\ Opposite\ to\ Hypotenuse.\\ So,\ we\ can\ use\ the\ formula\ \sin{\theta}=\frac{Opposite}{Hypotenuse}to\ calculate\ the\ sine\ of\\ an\ angle\ in\ a\ right\ triangle.[/tex]
Answer to Question that asked "How would your results change if you used Angle B Instead of Angle A?"Ans No Change
[tex]Ans\ No\ change\\ After\ changing\ A\ to\ B\ no\ change\ will\\ be\ there[/tex]
Answer to Question #12the ansurer is
cose C = Base/Hypitenuse = BC/AC
[tex]Solution:\\ cosine\ of\ angle\ is\ the\\ Natis\ of\ base\ to\ the\\ lypotenuse\ of\ the\ friangle\\ cos\ C=\frac{BC}{AC}[/tex]
I hope this helps you!
:)
Please help me I don't understand how to do it
Step-by-step explanation:
first, get a piece of tracing paper. then, place it on the grid and copy the shape and the point of rotation. then, place your pen on the point of rotation and rotate the paper 180°. then copy the shape to its new position on the grid. then move the shape 4 units left by counting 4 squares on each vertex and moving it. lastly, find the coordinates of point
.....................
Answer:
88 cm
Step-by-step explanation:
to find the circumference of a circle you can use the equation
d(pi)
d being diameter and pi in this case being 22/7
so you can directly multiply 28 and 22/7
28/1 * 22/7
you can cross cancel 28 and 7 making them 4 and 1 respectively
then you have 4/1 * 22/1
that is also 4 * 22
that is 88
solve for a: a^2/3 = 25
Answer:
125
Step-by-step explanation:
a⅔=25
2/3root each you get root 2/3of 25
the original price of a dress is 350.00. it is sale on for 30% off. which of the following is the new price of dress? a.105 b.245 c.380 d.455 plss help
Answer:
The answer is 245
Step-by-step explanation:
you save 105$ but the total price will come out to 245$ 350 × 30/100
= 350 x 0.3
Answer:
b.245
Step-by-step explanation: [tex]350\times\left(1-30\right)[/tex]
Calculate
[tex]350\times\left(1-0.3\right)[/tex]
Calculate the sum or difference
[tex]350\times0.7[/tex]
Calculate the product or quotient
[tex]245\ YOUR\ ANSWER\ which\ can\ also\ be\ wrote\ out\ like\ 2.45\times{10}^2[/tex]
I hope this helps you
:)
if A+B= 45° then prove that: tanA+ tanB+ tanA. tanB
Answer:
See Explanation
Step-by-step explanation:
[tex]A+B= 45 \degree \\ \\ assuming \: \tan \: on \: both \: sides \\ \\\implies \: \tan( A+B)= \tan 45 \degree \\ \\ \implies \: \tan( A+B)= 1 \: \: \\ ( \because \: \tan 45 \degree = 1) \\ \\ \implies \: \frac{\tan \: A +\tan \: B }{1 - \tan \: A .\tan \: B } = 1 \\ \\ \implies \: \tan \: A +\tan \: B = 1 - \tan \: A .\tan \: B \\ \\ \purple{ \implies }\: \orange{ \bold{\tan \: A +\tan \: B + \tan \: A .\tan \: B= 1 }} \\ \\ thus \: proved[/tex]
Nicholas has 28 more red peppers than green peppers. In all, he has 62 peppers. How many red peppers does Nicholas have?
Answer:Nicholas has 34 red peppers.
jonah bought 3 packs of hotdogs
Step-by-step explanation:
[tex] \sqrt{a {}^{2} } + 24 - 4 = a [/tex]
The volume of this right circular cylinder is 64π cubic yards. If h, the height of the cylinder, is 4 yards, what is r, the radius of the base?
Answer:
h = 4 cm
Step-by-step explanation:
The formula for volume of a cylinder is
V = πr²h where V is the volume, r is the radius, and h is the height.
We are given V = 64π, and r = 4, plug those in and solve for h
64π = π(4²)h
64π = 16πh
(64π)/(16π) = (16πh)/(16π) (divide both sides by 16π)
4 = (16π)/(16π)h
4 = h
Here, we are provided a right circular cylinder with :
Volume = 64 π cubic yards Height = 4 yards Radius = ?We know that :
[tex] \quad\hookrightarrow\quad{\pmb{ \mathfrak { Volume = \pi r^2 h }}}[/tex]
Therefore,
[tex] \implies\quad \sf{V = \pi r^2 h }[/tex]
[tex] \implies\quad \sf{64\pi = \pi r^2 \times 4 }[/tex]
[tex] \implies\quad \sf{ \pi r^2 \times 4 = 64\pi}[/tex]
[tex] \implies\quad \sf{r^2 =\dfrac{64\pi}{\pi \times 4} }[/tex]
[tex] \implies\quad \sf{ r^2 =\dfrac{\cancel{64}}{\cancel{4}}\times \cancel{\dfrac{\pi}{\pi}}}[/tex]
[tex] \implies\quad \sf{ r^2 = 16}[/tex]
[tex] \implies\quad \sf{r=\sqrt{16} }[/tex]
[tex] \implies\quad \underline{\underline{\pmb{\sf{r= 4}}} }[/tex]
Uncle Ron had 10 boxes of red pens and 15 boxes of blue pens. There were 47 red pens in each box. He sold 326 red pens and 471 blue pens. If he had 453 pens left, (a) how many blue pens did Uncle Ron have left? (b) how many blue pens were in each box?
please explain! and show your work! thanks
10 × 47 = 470
(a) 470 – 326 = 144
453 – 144 = 309
309 The number of blue pens Uncle Ron had left was
309 + 471 = 780
(b)
780 ÷ 15 = 52
Thus , 52 blue pens were in each box.
Step-by-step explanation:
which is bigger 0.2,1/2 or 2%
Answer:
See below.
Step-by-step explanation:
0.2, 1/2, 2%
Convert the other two to decimals to make our lives temporarily easier.
1/2 = 0.5
2% = 0.02
0.2, 0.5, 0.02
The greater term is 0.5, or 1/2.
-hope it helps
Answer:
1/2
Step-by-step explanation:
0.2 = 0.2
1/2 = 0.5
2% = 2/100 = 0.02
From smallest to biggest:
2%, 0.2, 1/2
Answer: The biggest one is 1/2
PROBLEM SOLVING You deposit $300 into an investment account that earns 12% annual interest compounded quarterly. The graph shows the balance of a savings account over time. Write the functions that represent the balances of the accounts after t years. Round the growth factor to the nearest hundredth, if necessary.
Answer:
=25
Step-by-step explanation
:[tex]\sqrt{x}[/tex] 300 with 12 and you simply get 25
The function that represents the balance after t years is FV = $300( 4)^4t. The balance of the account after four years is; $914.92.
What is the function that represents the balance after t years?The formula for calculating future value:
FV = P (1 + r)^nm
Where: FV = Future value
P = Present value
R = interest rate = 12%/4 = 3%
m = number of compounding = 4
N = number of years
Thus FV = $300( 1+ 3)^4t
FV = $300( 4)^4t
Then the account balance after 4 years;
$300( 4)^(4 x 4)
= $914.92
To learn more about future value, please check: brainly.com/question/18760477
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Write 8x2 − 5 + 7x4 − 9x − x5 in standard form.
Answer:
−x5 + 7x4 + 8x2 − 9x − 5
Step-by-step explanation:
I do not have one so sorry :/
Alisha is working
on a project about temperature conversion in her science class. She was given the formula for converting degrees Celsius to degrees
Fahrenheit: F=C+32. For her project, she needs to convert temperature from Fahrenheit, F, to Celsius, C. In which of the following equations is
FC +32 correctly solved for C?
The number in question is equal to 2 times the temperature in degrees Celsius.
EquationsSince Alisha is working on a project about temperature conversion in her science class, and the formula for converting degrees Celsius to degrees Fahrenheit is F=C+32, to solve FC + 32 the following equation must be performed:
CF + 32 = XF + F + 32 + 32 = X2F + 64 = XF + 32 = 1/2XX = 2CTherefore, the number in question is equal to 2 times the temperature in degrees Celsius.
Learn more about equations in https://brainly.com/question/26678239
Find the area of this parallelogram
Answer:
101.46
Step-by-step explanation:
Area= Lenght x With
Soo you would do 11.4 x 8.9 and get 101.46cm!
The area of the parallelogram with a height of 7.1 cm will be 80.94 square cm.
What is the area of the parallelogram?Let H be the height and W be the width of the parallelogram. Then the area of the parallelogram will be given as,
Area of the parallelogram = H × W square units
From the graph, the width of the base of the parallelogram is 11.4 cm. And the height of the parallelogram is 7.1 cm.
The area of the parallelogram is given as,
A = 11.4 x 7.1
A = 80.94 square cm
The area of the parallelogram with a height of 7.1 cm will be 80.94 square cm.
More about the area of the parallelogram link is given below.
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X + 2 = 5, what is the value of x?
Answer:
X=3
Step-by-step explanation:
take 2 to right side 2 becomes negative subtract 5-2To get 3Answer:
answer is x = 3
Step-by-step explanation:
x + 2 = 5 , x = 5 - 2
x = 3
PLEASE HELP ME!!!
Solve in substitution form step by step please
Answer:
3. (3,-4)
Step-by-step explanation: