Answer:
B = 61.75°
Step-by-step explanation:
The formula for the Law of Sines is given as:
a/ sin A = b/ sin B
In the question, we are given the following values
A = 56°, a = 16, b = 17
We are to solve for B
Hence,
16/ sin 56° = 17/sin B
Cross Multiply
sin B × 16 = sin 56° × 17
sin B = sin 56° × 17/16
sin B = 0.88
B = arc sin(0.88)
B = 61.74536°
Approximately B = 61.75°
Assume a fair deck of playing cards. Find the probability of drawing a 10, replacing it and drawing an ace.
Answer:
There are 52 cards in a deck. The total number of outcomes possible when picking 2 cards and replacing them is 52 * 52 = 2704.
There are 4 10s and 4 aces so the total number of successful outcomes = 4 * 4 = 16.
Probability = 16 / 2704 = 1 / 169
Does this table represent a function ?why or why not ?
Answer:
Yes, because every x value corresponds to exactly one y value
Step-by-step explanation:
To be a function each x has to go to only one y
There is a one to one correspondence so this is a function
someone please help After putting 5 gallons of gas into your car, the tank was full. If the tank holds 13 gallons, how much gas was in it before you filled it up?
Answer:
8 gallons were in the tank beforehand.
Step-by-step explanation:
Answer:
8 gallons of gas
Step-by-step explanation:
13-5=8
Solve the following equation (for x) using inverse operations:
-4x + 6 = 2x + 36
Answer:
[tex]x=-5[/tex]
Step-by-step explanation:
[tex]-4x + 6 = 2x + 36[/tex]
Add -2x and -6 on both sides.
[tex]-4x + 6-2x-6 = 2x + 36-2x-6[/tex]
[tex]-4x-2x=36-6[/tex]
Combine like terms.
[tex]-6x=30[/tex]
Divide both sides by -6.
[tex]\frac{-6x}{-6} =\frac{30}{-6}[/tex]
[tex]x=-5[/tex]
Answer:
x = -5
Step-by-step explanation:
Group like terms together: On the right side we get 2x + 4x = 6x. On the left side we get 6 - 36 = - 30.
Then 6x = -30, and x = -5.
What is the additive inverse of the polynomial? -7y2+x2y+-3xy-7x2
Answer:
The addidtive inverse is 7y²- x²y - 3xy + 7x²
( here we need to change the sign of each of the term )
Answer:
7y2-x2y+3xy+7xy
Step-by-step explanation:
I got it right
The ratio of men to women working for a company is 3 to 4. If there are 112 employees total, how many work for the company
Answer:
112
Since you stated 112 employees work for the company, and your question was how many work for the company, it is definetly
112.
Answer:112
Step-by-step explanation:
I ain’t making no explanation I’m just giving answers
Find x value for the point that splits segment CD in half if point C is located at (−2, 4) and point D is located at (3, 7). (5 points) 5.5 5 0.5 3
Answer:
0.5
Step-by-step explanation:
To find the midpoint, add the x values and y values respectively. Then divide the results by 2. So, the midpoint of CD will be (0.5,5.5). The x value is 0.5.
Hey there! :)
Answer:
0.5.
Step-by-step explanation:
Use the midpoint formula to solve for the coordinates:
midpoint = [tex]({\frac{x_{1}+x_{2}}{2} },{\frac{y_{1}+y_{2}}{2} } )[/tex]
Plug in the points for C and D:
[tex]({\frac{-2+3}{2} },{\frac{4+7}{2} } )[/tex]
Simplify:
[tex]({\frac{1}{2} },{\frac{11}{2} } )[/tex] These are the coordinates for the midpoint.
The x-value of the coordinate is 1/2, or 0.5.
How far does the first-base player need to throw the ball so it will reach third base?
Write your answer correct to two decimal places.
Answer:
c = 90
Step-by-step explanation:
Answer:
127.28 (2dp)
Step-by-step explanation:
Using Pythagorean Theorem:
[tex]a^2+b^2=c^2\\90^2+90^2=c^2\\8100+8100=c^2\\16200=c^2\\c=\sqrt{16200}\approx127.279221\\127.28[/tex]
WILL AWARD BRAINLIEST
What is the value of a?
help me 24 - 42 ÷ 8 • 2 + 4
Step-by-step explanation:
bodmas :3
1. 42 ÷ 8 x 2 = 5.25 x 2
= 10.5
2. 24 - 10.5 + 4 = 17.5
Answer:
17.5
Step-by-step explanation:
24-(42/8)×2+4
=24-(5.25×2)+4
=24-10.5+4
=13.5+4
=17.5
How can you find f(3) if f(x) = -2x2 – 4?
Answer: f(3)=-20
Step-by-step explanation:
If you look at f(x) and f(3), you can see that 3 is in place of x. That means when x=3, what is f(x). You plug in x=3 into f(x) and solve.
f(3)=-2(3)²-2
f(3)=-2(9)-2
f(3)=-18-2
f(3)=-20
Answer:
-20
Step-by-step explanation:
The sales tax for an item was $19.20 and it costs $480 before tax. Find the sales tax rate. Write your answer as a percentage
Answer:
sales tax rate = 4%
Step-by-step explanation:
In this problem formula to express one term in percentage is used
To express x as percentage of y is given by (x/y*100) %
______________________________________________
Cost of item = $480
sales tax = $19.20
we have to find sales tax rate.
sales tax rate is percentage of cost price which will levied as tax .
thus, we have to find sales tax as percentage of cost price.
using the percentage cost as given above
sales tax as percentage = sales tax/ cost of item *100
sales tax as percentage = 19.20/480 *100 = 4%
Thus, sales tax rate is 4%.
It means that if cost price of item is $100 then $4 will be the sales tax for the item.
If d = the number of dogs, which variable expression represents the phrase below? the sum of the number of dogs and the 6 cats.
Answer:
D.
Step-by-step explanation:
" Sum" means "+".
The sum of the number of dogs and the 6 cats.
d + 6
Answer:
Option D
Step-by-step explanation:
Sum is Adding (+)
So,
The expression becomes
=> d+6
Find the volume of a pyramid with a square base, where the side length of the base is
11.1 m and the height of the pyramid is 8.2 m. Round your answer to the nearest
tenth of a cubic meter.
Answer:
336.8 cubic meter or 336.8m³
Step-by-step explanation:
In other to solve the above question we would be using the volume of a square based pyramid.
The formula for the volume of a square based pyramid is
1/3a²h
In the above question we are given the following values as:
Side length of the base = a = 11.1 m
Height of the pyramid = h = 8.2m
Volume of the square based pyramid = 1/3 × 11.1² × 8.2
= 336.774 cubic meter or 336.774 m³
Approximately to the nearest tenth = 336.8 cubic meter or 336.8m³
Find the zeros of y = x2 - 6x - 4 by completing the square.
A. X = 3 + 15
B. X= 3 V13
C. X=-3 v15
D. X = +3
SUB
Answer:
x = 3 + sqrt(13) or x = 3 - sqrt(13) or B)
Step-by-step explanation:
Solve for x:
x^2 - 6 x - 4 = 0
Hint: | Solve the quadratic equation by completing the square.
Add 4 to both sides:
x^2 - 6 x = 4
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 9 to both sides:
x^2 - 6 x + 9 = 13
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x - 3)^2 = 13
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x - 3 = sqrt(13) or x - 3 = -sqrt(13)
Hint: | Look at the first equation: Solve for x.
Add 3 to both sides:
x = 3 + sqrt(13) or x - 3 = -sqrt(13)
Hint: | Look at the second equation: Solve for x.
Add 3 to both sides:
Answer: x = 3 + sqrt(13) or x = 3 - sqrt(13)
Select the correct answer.
Which of these graphs represents a function?
Answer:
the top right
Step-by-step explanation:
Which of the following is a closed statement? Question 16 options: A) z is a positive number. B) x is an odd number. C) 30 is an odd number. D) y is not an odd number.
Answer:
Step-by-step explanation:B) x es un número impar
Answer:
B
Step-by-step explanation:
What is the theoretical probability that a dice will land on the number six?
A. 1/8
B. 1/6
C. 1/2
D. None of the choices are correct
Write as an equation: 1/3 of a shipment of books weights 28 pounds.
A. f - 1/3 = 28
B. 3/f = 28
c. 1/3 + f = 28
D. f/3 = 28
Answer:
Option D
Step-by-step explanation:
A third of a shipment of books is 28 pounds. Assuming that 'f' will be the total weight of the entire shipment, we would divide 'f' by 3 to get 28.
The answer should be D.
use the elimination method to solve the system of equations. choose the correct ordered pair. 6x-4y=-8 and 11x+4y=76
Answer:
(4,8)
Step-by-step explanation:
6x-4y=-8
11x+4y=76 eliminate y
6x+11y=-8+76
17 x=68
x=68/17=4
substitute x :
6x-4y=-8
6(4)-4y=-8
-4y=-8-24
y=-32/-4
y=8
Which input value produces the same output value for
the two functions on the graph?
O x= -1
O x=0
O x= 1
O x=2
Answer:
x=1
Step-by-step explanation:
it is the point of intersection of both lines which (1,1)
for x=1 both produce same value i.e.,1
The transitive property of angle congruence states that if ________ ≅ ∠QRS and ∠QRS ≅ ∠PQR, then ∠XYZ ≅ ∠PQR . A) ∠XQR B) ∠QRS C) ∠PQR D) ∠XYZ
Answer:
The correct answer is <XYZ
Step-by-step explanation:
Just took the quiz
Answer:
<XYZ
Step-by-step explanation:
A polynomial has been factored below, but some constants are missing.
Answer:
From the information in the problem, the value of a is 2, the value of b is 2, and the value of c is -6.
Step-by-step explanation:
The first thing we have to do is factor the equation in order to find the value of a, b, and c.
2x³ - 8x² - 24x
Find a common factor that can be easily divisible among all the terms. This common factor is 2x. Factor the equation.
2x(x² - 4x - 12)
Now, we have to factor out the equation in the parentheses. we do this by multiplying the first term by the last term first. Since there is no coefficient number for x², then we assume this number to be 1.
1 × -12 = -12
Now, we have to find two numbers that multiply to get -12 but add together to get -4. These numbers are 2 and -6. Let's plug these numbers into the equation.
2x(x² + 2x - 6x - 12)
Group the first and second terms together and group together the third and last term together in the parentheses.
2x((x² + 2x) + (-6x - 12))
Factor the equation in parentheses.
2x(x + 2)(x - 6)
So, the value of a is 2, the value of b is 2, and the value of c is -6.
Help asap please will give brainliest
Answer:
d. (x+2)/(-x²-5)
Step-by-step explanation
ƒ(x) = x + 2/(2x²)
The function is undefined when x = 0.
b. ƒ(x) = (2x + 4)/(3x + 3)
The function is undefined when 3x + 3 = 0, i.e., when x = -1.
c. ƒ(x) = (6x - 5)/(x² - 7)
The function is undefined when x² - 7 = 0, i.e., when x = √7.
d. ƒ(x) = (x+2)/(-x²-5) = -(x+2)/(x² + 5)
The function would be undefined if x² + 5 = 0, i.e., if x² = -5. However, the square of a real number cannot be negative.
This function has no excluded values.
1/4 of a pipe is white , 1/2 part of the remaining is blue. If the remaining part is black and the length of this black part is 5 1/4cm, find the length of the pipe.
Answer: 14 cm
Step-by-step explanation:
First take out 1/4 of the pipe, the portion that is white. Then, half of three quarters of the pipe is blue. 1/2 of 3/4 is 3/8. 3/8(blue) + 2/8(white) = 5/8. Thus, 3/8 of the pipe is black. Thus, take 5.25(The length of the black portion) and multiply it by 8/3(reciprocal of 3/8) to get 14.
Hope it helps <3
(If it does, please give brainliest, only need 1 more for rank up :) )
Which shape can be classified as a rectangle? Rhombus Square Trapezoid Parallelogram
Answer:
The answer is Parallelogram!
Step-by-step explanation: Unlike a square, a Parrallelogram has 2 same short sides, and 2 long! But a square has all same sides; so, it's not sqaure.
Answer:
square
Step-by-step explanation:
A rectangle is a quadrilateral with 4 right angles.
A square is a quadrilateral with 4 right angles and 4 congruent sides, so s square is a rectangle.
In the figure, which of the following are collinear points? Question 14 options: A) ACF B) HDG C) AEG D) GBJ
Answer: B )HDG This is the answer stay safe.
Answer:
b. HDG
Step-by-step explanation:
Three or more points that lie on the same line are collinear points. The points D is on the same line as H and G.
So the anwser would be B.
Can you find the missing segment to the triangle in the image attached
Answer:
missing segment= 25
the answer and how to do the problem in paper
What’s the solution to 12x + 2 > 14
Answer:
x>1
Step-by-step explanation:
12x+2>14
12x>12
x>1
Answer:
x > 1
Step-by-step explanation:
12x + 2 > 14
Subtract 2 on both sides.
12x > 14 - 2
12x > 12
Divide 12 into both sides.
x > 12/12
x > 1
On a piece of paper, graph y < 3/4x + 2. Then determine which answer choiceu
matches the graph you drew.
Answer:
Graph A is the answer
Step-by-step explanation:
Graph A is correct.
We have an inequality -
[tex]y < \frac{3x}{4}+2[/tex]
We have to graph this inequality and select the correct option.
What is inequality?Inequality in mathematics is a relation that is used to compare two or more algebraic expressions.
We have in our question an inequality as -
[tex]y < \frac{3x}{4}+2[/tex]
Follow the following steps to reach the graph -
STEP 1 ->
Replace the ' < ' sign with ' = ' sign and plot the graph of the equation formed - [tex]y = \frac{3x}{4}+2[/tex]
which is same as y = mx + c.
On comparing : m = [tex]\frac{3}{4}[/tex] and c =2.
Therefore, this line intersects the y - axis at the point (0, 2).
STEP 2 ->
Since the line does not pass through (0,0) we can consider it as our test point. Substituting x = y = 0 in the inequality, we get -
0 < 0 + 2
0 < 2, which is true.
We will shade the area in which (0,0) lies.
STEP 3 ->
Since the inequality is a strict inequality, the line will be a dotted line.
Hence, Graph A is correct.
To solve more questions on plotting the graphs of inequality, visit the link below -
https://brainly.com/question/25851784
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