To find the measure of angle BAC in the given right triangle ABC, we can use the trigonometric function sine.
To find the measure of angle BAC in the given right triangle ABC, we can use the trigonometric function sine. The sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. In this case, we know that the length of the side opposite angle BAC is 6.9 centimeters and the length of the hypotenuse is 12 centimeters. Therefore, we can use the equation sin(BAC) = opposite/hypotenuse to find the measure of angle BAC.
sin(BAC) = 6.9/12
BAC ≈ sin-1(6.9/12)
Using a calculator, we can find that BAC ≈ 33.24°.
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What is the y-intercept (b value) of a line that is PERPENDICULAR to the line y = -x- 2and through
the point (-3,-7)
Answer:
The y -intercept is the point (0, -4).
Step-by-step explanation:
The slope of the perpendicular line = -1/m
= -1/-1 = 1.
So it is y = x + b.
To find b we substitute the point (-3, -7):
-7 = -3 + b
b = -7 + 3 = -4.
The y -intercept is the point (0, -4).
12. What is the rule for the translation
below?
K
of ditt
5
.
4
3
2
1
got
Answer:
(-5)
( 1 )
Step-by-step explanation:
the image is 1 units upper than object and 5 units behind the object therefore
x=-5
y=1
z varies directly as x². If z=8 when x=2, find z when x=7
Answer:
98
Step-by-step explaination:
For this question, it is a direct variation. Hence, the equation would be formed accordingly, and the constant k would also be used.
z varies directly as x²
z= kx² where k is the constant
z = 8
x = 2
Putting the figures in the equation, we have
8=2²(k)
8= 4k
Dividing both sides by 4, we have
k = 8/4
k = 2
Solving for z now, we substitute k with 2. And x with 7
z=kx²
z = 2(7²)
z= 2(49)
z= 98
If it were indirect variation, the constant would have been 1/k. We also have other types of variation, Indirect variation, partial variation and joint variation.
Stefan has 38 t shirts. He gave 3 to each of his friends. Now he only has 2 t shirts. How many friends does he have?
Answer:
Stefan has 12 friends. He's very popular
Step-by-step explanation:
38/312.6 or 12 remainder 2A line passes through the points (-1,-5) and (4,5). The point (a, 1) is also on the line
Answer:
(2, 1) is the point.
D. 2
Three less than 11 times a number
is the same as the number
decreased by 13. Find the
number.
Answer: x = -1
Calculation/Explanation:
11x-3 = x-13
11x-3 -x = x-13 -x
10x-3 = -13
10x-3 +3 = -13 +3
10x = -10
10x /10 = -10/10
x = -1
Hiw do I Graph the line y=-3
Answer:
Step-by-step explanation:
Answer:
The graph below should help:
1 What is the slope of the graph of y = 12x – 19?
Answer:-228
Step-by-step explanation:
Find the solution of the system of equations.
-8x+5y=43
-8x+4y=36
Answer:
[tex]x=-1\\y=7[/tex]
Step-by-step explanation:
Given equations:
[tex]-8x+5y=43[/tex] Equation:1
[tex]-8x+4y=36[/tex] Equation:2
As the coefficients of 'x' are same which will eliminate the terms of 'x':
Subtracting Equation:2 From Equation:1
[tex]-8x+5y-(-8x+4y)=43-36\\\\-8x+5y+8x-4y=7\\\\5y-4y=7\\\\y=7[/tex]
Putting value of 'y' in either equation:1 or 2
Putting y=7 in equation:2
[tex]-8x+4y=36[/tex]
[tex]-8x+4(7)=36\\\\-8x+28=36[/tex]
Subtracting '28' from both side:
[tex]-8x+28-28=36-28\\\\-8x=8\\[/tex]
Changing the sides:
[tex]8x=-8[/tex]
[tex]x=\frac{-8}{8} \\\\x=-1[/tex]
The values are :
[tex]x=-1\\y=7[/tex]
Dan has 4 groups of 10 and 3 left over.
A cylindrical water tank has a radius of 5 feet and a height of 10 feet. The volume of water in the tank is 565.2 cubic feet.
What percent of the tanks volume is filled with water?
About 71.96% of the cylindrical water tank, with a radius of 5 feet and a height of 10 feet, is filled with water when it contains 565.2 cubic feet of water.
To determine what percent of the tank's volume is filled with water, we must first calculate the total volume of the cylindrical tank using the formula for the volume of a cylinder: V = (pi)r²h. Here, the radius r is 5 feet, and the height h is 10 feet.
The total volume V of the tank is:
V = (pi)(5 feet)²(10 feet) = 3.14159 times 25 times 10 = 785.398 cubic feet
Now, since the volume of water in the tank is given as 565.2 cubic feet, we can calculate the percent of the tank's volume that is filled with water by dividing the volume of water by the total volume of the tank and then multiplying by 100 to convert to a percentage. So the calculation becomes:
Percent filled = ([tex]\frac{565.2}{785.398}[/tex]) times 100
Percent filled approx 71.96%
Therefore, about 71.96% of the tank's volume is filled with water.
96 divided by 18 in fraction form
16/3. You can use a calculator and divide 96/18, then convert to a fraction by using the math button.
Answer:
16/3
Step-by-step explanation:
Divide the numerator and the denominator by 6
A computer company is testing a new booster to increase program load times. The box plots show the number of seconds it takes to load a program with and without the booster. Using these plots, how much did the median change?
Answer:
by 2
Step-by-step explanation:
Answer: 2 seconds
Step-by-step explanation:
A computer company is testing a new booster to increase program load times. The box plots show the number of seconds it takes to load a program with and without the booster. Using these plots, how much did the median change?
A circle with an area 9pi has a sector with a central angle of 1/9pi what is the area of the sector
Answer:
½pi or 0.5pi units²
Step-by-step explanation:
Area : angle
9pi : 2pi
x : pi/9
9pi/2pi = x/(pi/9)
4.5 × pi/9 = x
x = ½pi or 0.5pi units²
Rewrite 6a+18b in factored form
Answer:
= 6 ( a + 3b)
Step-by-step explanation:
6a + 18b
The highest common factor of 6 and 18 = 6
Therefore,
6a + 18b = 6( 6a/6 + 18b/ 6 )
= 6 ( a + 3b)
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A town has a population of 14000 and grows at 5% every year. What will be the population after 14 years, to the nearest whole number?
Answer:
27719
Step-by-step explanation:
The population after 14 years, to the nearest whole number is 27,719.
Given that,
A town has a population of 14000 and grows at 5% every year.And, the time period is 14 yearsThe calculation is as follows:
[tex]= 14,000 \times (1.05)^14[/tex]
= 27,719
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PLEASE HELP PEOPLE MAKE IT LOOK LIKE THEY ARE ANSWERING IT THEN THEY QUIT PLEASE HELP
The solutions to f(x) = 64 is x = 7 and x = –7.
Solution:
Given data:
[tex]$f(x)=x^{2}+15[/tex] and [tex]f(x)=64[/tex]
To find the solutions when f(x) = 64.
Both are equations of f(x), so equate the given equations, we get
[tex]x^2+15=64[/tex]
Subtract 15 from both sides of the equation.
[tex]x^2+15-15=64-15[/tex]
[tex]x^2=49[/tex]
49 can be written as 7².
[tex]x^2=7^2[/tex]
Taking square root on both sides of the equation, we get
x = ±7
The solutions to f(x) = 64 is x = 7 and x = –7.
HELP! What is the value of X in the following parallelogram? WILL GIVE BRAINLIEST!
Answer:
x = 2
Step-by-step explanation:
Step 1: Set 3x - 2 equal to 5x - 6 to get x
3x - 2 = 5x - 6
Step 2: Solve for x
3x - 2 + 6 - 3x = 5x - 6 + 6 - 3x
4 / 2 = 2x / 2
2 = x
Answer: x = 2
Answer:
2
Step-by-step explanation:
5x-6=3x-2
5x-3x=-2+6
2x=4
x=2
What is the simplified value of 5x to the power of 3 over 10x squared
A cylindrical pipe has a circumference of 16cm
Calculate the diameter of the pipe
Please show method cleary
Step-by-step explanation:
pi×diamiter = circumference
pi÷circumference = diamiter
3.14159265358979 (pi) ÷ 16
Calculate the diameter of a cylindrical pipe with a circumference of 16cm using the formula C = πd. Hence the diameter of the pipe is approximately 5.09 cm.
The circumference of a cylindrical pipe is related to its diameter through the formula C = πd, where C is the circumference, π is Pi (approximately 3.14159), and d is the diameter. Given that the circumference is 16 cm, we can use the formula to solve for the diameter:
16 = πd
16 = 3.14159d
d = 16 / 3.14159 ≈ 5.09 cm
Therefore, the diameter of the pipe is approximately 5.09 cm.
tell whether the angles are complementary or supplementary. Then find the value of x.
Needs to be graphed and solved please help
Answer: here it is graphed and it cant be solved because there are no solutions as seen on the graph!
Step-by-step explanation: hope i helped please mark brainliest!
Two players are playing the following combinatorial game.
• On each turn they put a chess knight on a board 9 × 9 so that it is not attacked by previously placed knights.
• The take turns and the player that cannot make a move loses.
Determine who has a winning strategy.
Answer:
The player that placed the knight after the first person at the start of the game. There in his turn whatever role the knight played he both had opportunity to space each knight strategically and use the knight to protect whatever wins the game.
Step-by-step explanation:
Maths is 81/80 =1
F
2. What is the leading coefficient of the polynomial? - 7x2+ 3x -10
re
Answer:
The leading coefficient is -7
Step-by-step explanation:
The leading coefficient is the number in front of the highest power variable. In this case, the highest variable is x^2 and in front of it is -7. Therefore, the leading coefficient is -7
Answer: The leading coefficient is -7
Help Please and please explain
Answer:
i believe the answer is c
Step-by-step explanation:
-b+3y-6b+2y simplify the expression
Answer:
5b+5y
Step-by-step explanation:
how do you find the missing side lengths?
Natasha bought paintbrushes and paint for a total of $71 to paint a fence. The brushes cost $3.50 per brush and the paint cost $50. How much did each paint brush cost?
Natasha paid $4 per paintbrush
Natasha paid $17.50 per paintbrush
Natasha paid $6 per paintbrush
Natasha paid $21 per paintbrush
Answer:
Step-by-step explanation:
Cost of paint brushes= Total cost - cost of paint
= 71 - 50 = $21
No.ofpaint brushes =21/3.50 = 21*10/3.5*10
= 210/35 = 6
Answer:
Natasha paid $6 per paintbrush
Step-by-step explanation:
Cost for paint brusheswe can make use of variables
p = paint
b = brushes
bought paintbrushes and paint for a total of $71. . The brushes cost $3.50 per brush and the paint cost $50
we can create an equation from the information
3.5b + 50p = 71
since 1 paint is bought
3.5 b + 50 (1) = 71
3.5b = 71 - 50
3.5b = 21
b = 21/3.5
b = 6
paintbrush costs $ 6In the above figure, m∠AOC = 26° and m∠BOD = 2x + 32. If ∠AOC and ∠BOD are vertical angles, what is the value of x?
The value of x is -3.
Step-by-step explanation:
It is given that the angles ∠AOC and ∠BOD are vertical angles.The vertical angles have same measure of angles.Therefore, ∠AOC is equal to ∠BOD.⇒ 26° = 2x+32
⇒ 2x = 26-32
⇒ 2x = -6
⇒ x = -6/2
⇒ x = -3
Substitute x=-3 in ∠BOD = 2x+32
∠BOD = 2(-3)+32 = 26°
Answer:
d
Step-by-step explanation:
If the vertex of a parabola is (-9,1), what is the axis of symmetry?
Answer:
The axis of symmetry is -9
Step-by-step explanation: The AOS will always be the x value of your vertex.