Answer:
14% and 1/7
Step-by-step explanation:
don bought the bookshelf for 42 dollars this was 3/4 of the regular price
Answer:
Regular Price = $56
Step-by-step explanation:
3/4 x = 42
42/3 * 4 = x
14 * 4 = 56
x - 56
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
If F(x) = 4(x-8) + 2, what is the value of F(2)?
Andre and Mai are discussing how to solve for side AB. Andre thinks he can
use the equation tan(12 degrees)=x/6 to solve for AB. Mai thinks she can use
the equation tan(78 degrees)=6/x to solve for AB. Do you agree with either of
them? Show or explain your reasoning.
Answer:
Both Andre and Mai are correct
Step-by-step explanation:
A drawing of the the triangle ΔABC is created with MS Visio and attached here
In the drawing, we have;
Segment AB = x
Segment AC = 6
By trigonometric ratio, in a right triangle we have;
[tex]Tan(\angle X) = \dfrac{The \ length \ of \ the \ opposite \, side \ to \ \angle X }{The \ length \ of \ the \ adjacent\, side \ to \ \angle X}[/tex]
Where 'X' = 12° as shown in the figure, we have;
[tex]tan(12 ^{\circ}) = \dfrac{AB}{BC} = \dfrac{x}{6}[/tex]
Therefore, Andre is correct
Similarly, we have;
[tex]tan(78 ^{\circ}) = \dfrac{BC}{AB} = \dfrac{6}{x}[/tex]
Therefore, Mai is also correct
Therefore, Andre and Mai are correct.
Which statement is true?
Answer:
B is the correct answer
Step-by-step explanation:
Jello someone please help me
No links or files please
Answer:
3. 43 4. 84 5. 522
Step-by-step explanation:
Someone help me out with this
Item 7
△ABC has vertices A(−1, 2), B(2, 8), and C(4, 1). Find the measure of each angle of the triangle. Round decimal answers to the nearest tenth.
Answer:
[tex]A = 74.7^\circ[/tex]
[tex]B = 42.5^\circ[/tex]
[tex]C = 62.8^\circ[/tex]
Step-by-step explanation:
Given
[tex]A = (-1,2) \to (x_1,y_1)[/tex]
[tex]B = (2,8) \to (x_2,y_2)[/tex]
[tex]C = (4,1) \to (x_3,y_3)[/tex]
Required
The measure of each angle
First, we calculate the length of the three sides of the triangle.
This is calculated using distance formula
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2[/tex]
For AB
[tex]A = (-1,2) \to (x_1,y_1)[/tex]
[tex]B = (2,8) \to (x_2,y_2)[/tex]
[tex]d = \sqrt{(-1 - 2)^2 + (2 - 8)^2[/tex]
[tex]d = \sqrt{(-3)^2 + (-6)^2[/tex]
[tex]d = \sqrt{45[/tex]
So:
[tex]AB = \sqrt{45[/tex]
For BC
[tex]B = (2,8) \to (x_2,y_2)[/tex]
[tex]C = (4,1) \to (x_3,y_3)[/tex]
[tex]BC = \sqrt{(2 - 4)^2 + (8 - 1)^2[/tex]
[tex]BC = \sqrt{(-2)^2 + (7)^2[/tex]
[tex]BC = \sqrt{53[/tex]
For AC
[tex]A = (-1,2) \to (x_1,y_1)[/tex]
[tex]C = (4,1) \to (x_3,y_3)[/tex]
[tex]AC = \sqrt{(-1 - 4)^2 + (2 - 1)^2[/tex]
[tex]AC = \sqrt{(-5)^2 + (1)^2[/tex]
[tex]AC = \sqrt{26[/tex]
So, we have:
[tex]AB = \sqrt{45[/tex]
[tex]BC = \sqrt{53[/tex]
[tex]AC = \sqrt{26[/tex]
By representation
[tex]AB \to c[/tex]
[tex]BC \to a[/tex]
[tex]AC \to b[/tex]
So, we have:
[tex]a = \sqrt{53[/tex]
[tex]b = \sqrt{26[/tex]
[tex]c = \sqrt{45[/tex]
By cosine laws, the angles are calculated using:
[tex]a^2 = b^2 + c^2 -2bc \cos A[/tex]
[tex]b^2 = a^2 + c^2 -2ac \cos B[/tex]
[tex]c^2 = a^2 + b^2 -2ab\ cos C[/tex]
[tex]a^2 = b^2 + c^2 -2bc \cos A[/tex]
[tex](\sqrt{53})^2 = (\sqrt{26})^2 +(\sqrt{45})^2 - 2 * (\sqrt{26}) +(\sqrt{45}) * \cos A[/tex]
[tex]53 = 26 +45 - 2 * 34.21 * \cos A[/tex]
[tex]53 = 26 +45 - 68.42 * \cos A[/tex]
Collect like terms
[tex]53 - 26 -45 = - 68.42 * \cos A[/tex]
[tex]-18 = - 68.42 * \cos A[/tex]
Solve for [tex]\cos A[/tex]
[tex]\cos A =\frac{-18}{-68.42}[/tex]
[tex]\cos A =0.2631[/tex]
Take arc cos of both sides
[tex]A =\cos^{-1}(0.2631)[/tex]
[tex]A = 74.7^\circ[/tex]
[tex]b^2 = a^2 + c^2 -2ac \cos B[/tex]
[tex](\sqrt{26})^2 = (\sqrt{53})^2 +(\sqrt{45})^2 - 2 * (\sqrt{53}) +(\sqrt{45}) * \cos B[/tex]
[tex]26 = 53 +45 -97.67 * \cos B[/tex]
Collect like terms
[tex]26 - 53 -45= -97.67 * \cos B[/tex]
[tex]-72= -97.67 * \cos B[/tex]
Solve for [tex]\cos B[/tex]
[tex]\cos B = \frac{-72}{-97.67}[/tex]
[tex]\cos B = 0.7372[/tex]
Take arc cos of both sides
[tex]B = \cos^{-1}(0.7372)[/tex]
[tex]B = 42.5^\circ[/tex]
For the third angle, we use:
[tex]A + B + C = 180[/tex] --- angles in a triangle
Make C the subject
[tex]C = 180 - A -B[/tex]
[tex]C = 180 - 74.7 -42.5[/tex]
[tex]C = 62.8^\circ[/tex]
Given: sintheta=5/13
Find sin: 2theta
Answer:
sin 2θ=120/169
Step-by-step explanation:
What two consecutive numbers make 81
Answer:
40 and 41.
Step-by-step explanation:
81/2 = 40.5, thus 40 and 41
Calculate the value of this
Answer: here’s your answer
Step-by-step explanation:
If a cylinder has a height of 7 m and its base has a radius of 6 m, what is its volume? Use 3.14 for 5 and
round the answer to the nearest whole number.
O 490 m3
791 m3
923 m3
1,583 m3
Answer:
Step-by-step explanation:
Which net represents this box?
Answer:
image
Step-by-step explanation:
The area of a triangular sail is given by the expression 12bh, where b is the length of the base and h is the height. What is the area of a triangular sail in a model sailboat when b = 12 inches and h = 7 inches?
Answer:
42 square inches
Step-by-step explanation:
Area of a triangle = (1/2)(base)(height)
A = 1/2(12)(7)
A = 1/2(84)
A = 42
If A and B are mutually exclusive events then the probability of A happening OR the probability of B happening is P(A) + P(B).
Answer:
a
Step-by-step explanation:
just did it
Herman joins three of his friends at the movies. They decide to share a jumbo box of popcorn to save money. A jumbo box is twelve inches on all sides. What is the volume of a jumbo box of popcorn?
Answer:
$4.25
Step-by-step explanation:
Let price of drink be x
price of tub y
You have 4x+2y=32.5 (1) and
x = y -3.5 (2)
Plug for x from (2) into (1):
4(y-3.5) + 2y = 32.5
4y -14 +2y = 32.5
6y = 14+32.5
y = (46.5)/6 = $7.75 the price of tub
x= y-3.5 = 7.75 - 3.5 = $4.25
Use substitution to solve the system of equations.
How many solutions are there?
1/2x -1/3y= 5
x= 2/3y + 10
Α. There are no solutions
В. There is one solution.
C. There are infinitely many solutions.
D. It is not possible to determine the number of solutions
Answer:
A
Step-by-step explanation:
1/2(2/3y) - 1/3y = 5
1/3y - 1/3y = 5
0 ≠ 5
No Solutions
These are linear equations and, when graphed, are parallel
hello please help i’ll give brainliest
Answer:
Living
Step-by-step explanation:
Help please Thank you!!!!!
Answer:
B
Step-by-step explanation:
B because the graph doesn't show a liner line
but im not really sure nout it tho
You can write the equation of the line if you have two points on the line.
Is that true or false?
Which of the following poems have to rhyme?
Sonnet
Limerick
Haiku
Cinquain
Answer:
a
Step-by-step explanation:
The equation of the trend line is y = -0.36x + 12.6 use the equation to of the trend line to predict the wind chill for a wind speed of 51 mi/h round your answer to the nearest degree. The wind chill at 51 mi/h
Given:
The equation of the trend line is:
[tex]y=-0.36x+12.6[/tex]
In this equation y represents the wind chill and x represents the wind speed.
To find:
The wind chill at 51 mi/h.
Solution:
We have,
[tex]y=-0.36x+12.6[/tex]
Putting [tex]x=51[/tex], we get
[tex]y=-0.36(51)+12.6[/tex]
[tex]y=-18.36+12.6[/tex]
[tex]y=-5.76[/tex]
Round the answer to the nearest degree.
[tex]y\approx -6^\circ[/tex]
Therefore, the wind chill at wind speed 51 mi/h is -6°.
x-7y=4,5x-4y=-11 solve system of equations by substitution
multiply 1st eqn by 5
so it can be canceled and again u get value of y will be 1 and sagain put tha value of y in eqn 1 so that u can get the value of x
!!!!NEED HELP ASAP!!!! NO LINKS OR REPORT
Answer:
Step-by-step explanation:
Infinitely many solutions means that one side of the equals sign is exactly the same as the other side. We can achieve that easily by multiplying through the parenthesis and then combining like terms.
2(6x + 4) - 5x is 12x + 8 - 5x which simplifies down to 7x + 8. That is what goes on the right side of your equation.
The sophomore class is organizing a picnic and bought 1300 hot dogs and hamburgers for the event. The hotdogs cost $0.59 each and the hamburgers cost $0.98 each before tax. The total bill came to $1041.37, which
included $79.37 in tax. Write only the system you would use.
0.59 h + 0.98 b = 1041.37 - 79.37
h + b = 1300
need help now! (probibility)
The weather forecast predicts a 60% chance of rain. However, if it does not rain, the Hershey family has a 90% chance of going to an amusement park. What is the probability of going to the amusement park?
Answer:
36%, I'm fairly certian
Step-by-step explanation:
A. 90%
B. 60%
C. 30%
D. 36%
D. makes the most sense to me
The probability of going to the amusement park will be 60%.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Given that:-
The weather forecast predicts a 60% chance of rain. However, if it does not rain, the Hershey family has a 90% chance of going to an amusement park.The probability will be calculated as:-
[tex]P|A|B|=\dfrac{P(A\cap B)}{P(B)}\\\\\\P|A|B|=\dfrac{0.6\times 0.9}{0.9}=0.6=60\%[/tex]
Therefore probability of going to the amusement park will be 60%.
To know more about probability follow
https://brainly.com/question/24756209
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what is the surface area of the cylinder with height 8 ft and radius 3 ft round your answer to the nearest thousand.
Answer:
207.24
Step-by-step explanation:
[tex]S_{surface} = S_{side} + 2*S_{base} \\S_{side} = 2\pi RH\\ = 2*3.14*3*8=150.72\\S_{base} = \pi R^{2} = 3.14 * 3^{2} = 28.26\\S_{surface} = 150.72 + 2* 28.26 = 207.24[/tex]
please do this asap, i am in a really quick need, just type the answer, process is not required, i got -27, and i am pretty sure about this being wrong
Answer:
The answer is 3
Step-by-step explanation:
how is 4(x+3) equal to 12+4x
Answer:
When distributed, 4(x+3) = 12+4x
Simplify:
- 5 1/4 -( -7 1/2)
Answer:
-5 1/4-(-7 1/2 is simplified to 9/4
Step-by-step explanation:
-5 1/4 is simplified to -21/4 -(-7 1/2
-7 1/2 is simplified to -15/2 and two negatives make a positive.
so the equation now becomes
-21/4+15/2
15/2 times 2 is 30/4
-21/4+30/4 is 9/4
The answer is 9/4
Applying fertilizer increases yield by 3 bushels an acre for corn. If you have 2304 acres, how much will your yield increase?
Answer:
6912 bushels
Step-by-step explanation:
The increase is 3 bushels per acre.
For 2304 acres, the increase is
2304 acres * 3 bushels/acre = 6912 bushels