Answers
Answer:
x = 77.8 ft
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASTrigonometry
sin∅ = opposite over hypotenuseStep-by-step explanation:
Step 1: Define
∅ = 40°
opposite leg of angle = 50 ft
hypotenuse = x ft
Step 2: Solve for x
Substitute: sin40° = 50/xMultiply x on both sides: xsin40° = 50Divide sin40° on both sides: x = 50/sin40°Evaluate: x = 77.7862Round: x = 77.8 ftRelated Questions
Identify the y-intercept and the axis of symmetry for the graph of f(x) = 10x^2 + 40x + 42.
a
42; x = 4
b
42; x = –2
c
–42; x = 2
d
0; x = –4
Answers
Answer:
b)42, x=-2
Step-by-step explanation:
Answer:
The option 'b' is correct.
Step-by-step explanation:
Given the function
[tex]f\left(x\right)\:=\:10x^2\:+\:40x\:+\:42[/tex]
Determining the y-intercept
The y-intercept can be obtained by setting the value x = 0
[tex]y\:=\:10x^2\:+\:40x\:+\:42[/tex]
[tex]y\:=\:10\left(0\right)^2\:+\:40\left(0\right)\:+\:42[/tex]
[tex]= 0+0+42[/tex]
[tex]=42[/tex]
Therefore, the y-intercept is:
(0, 42)Determining the axis of symmetry
Given the equation
[tex]y=\:10x^2\:+\:40x\:+\:42[/tex]
For a parabola in standard form [tex]y=ax^2\:+\:bx\:+c[/tex]
the axis of symmetry is the vertical line that goes through the vertex
[tex]x=\frac{-b}{2a}[/tex]
so
The axis of symmetry for [tex]y=ax^2\:+\:bx\:+c[/tex] is [tex]x=\frac{-b}{2a}[/tex]
[tex]a=10,\:b=40[/tex]
[tex]x=\frac{-b}{2a}[/tex]
[tex]x=\frac{-40}{2\cdot \:10}[/tex]
[tex]x=-2[/tex]
Therefore, the option 'b' is correct.
The Number of students in a chess club decreased from 24 to 17. What is the percent decrease? Round your answer to the nearest percent
Answers
percent = 7/24 * 100 = 29 percent
Find all zeros of the polynomial P(x) = x3 - 3x2 - 10x + 24 knowing that x = 2 is a zero of the polynomial.
Answers
Answer:
x = 2, x = 4, x = -3Step-by-step explanation:
GivenP(x) = x3 - 3x2 - 10x + 24One of zeros is x = 2To findAll zerosSolutionx³ - 3x² - 10x + 24 is divisible by x - 2 as one of zeros is 2, then:
x³ - 2x² - x² + 2x - 12x + 24 =(x - 2)(x² - x - 12) =(x - 2)( x² - 4x + 3x - 12) =(x - 2)(x - 4)(x + 3)Other zeros are x = 4 and x = -3
(i) 25x4 – x2 - 6x -9
Answers
Answer:8x+91
Step-by-step explanation:8x + 91
is y = -4 + 2x linear?
Answers
Answer: it is linear
Step-by-step explanation: Find the degree of the equation to determine if linear.
Answer:
Yes
Step-by-step explanation:
Look up Desmos, it is graphing calculator... it will really help. REAL EXPLANATION: You put one point on -4, then do rise over run (2/1x), thus go up to over one. So on and so forth; this will result in a linear line.
Solve For X:
25 + 8x = 1
Answers
Answer:
x=-3
Step-by-step explanation:
Answer:
x=-3
Step-by-step explanation:
25+8x=1
8x=-24
x=-3
Find the fraction, decimal, or percent that is NOT equivalent to 2.3?
23/10
230%
2.3%
Answers
Answer:
23/10
Step-by-step explanation:
0.08 as a ratio term
Answers
Answer:
4:10=2:5
Step-by-step explanation:
Answer:
4:10 can be used as a ratio term
954÷70
and remainder
Answers
Answer:
13 with a remainder of 44
Step-by-step explanation:
.
Please help! Thank you!!
Answers
B The veterinarian weighs Anthony's
dog at a check up. The dog weighs 55
pounds. If 1 kilogram is approximately
2.2 pounds, which value best
represents the weight of Anthony's
dog in kilograms?
Answers
Answer:
25 kg.
Step-by-step explanation:
the dog is approximately 55 pounds and we know 1 kg is approximately 2.2 pounds. 55 divided by 2.2 is 25. the dog is approximately 25 kg.
rewrite the equation by completing the square 3+x=x^2+3x
Answers
Answer:
[tex](x+1)^2=4[/tex]
Step-by-step explanation:
[tex]3+x=x^2+3x[/tex] is our equation first, get all the x terms on one side so the equation equals a constant number[tex]3+x-(x)=x^2+3x-x\\3=x^2+2x\\x^2+2x=3[/tex] Then add to both sides the square of half of the coefficient of x : the coefficient of x here is 2 sothe square of half of 2 is [tex](1)^2[/tex] then[tex]x^2+2x+(1)^2=3+(1)^2\\x^2+2x+1=4\\[/tex] If you factor the left side you get [tex]x^2+2x+1=4\\(x+1)^2=4[/tex]Answer:
(x+1)^2 =4
x=-1±2
Step-by-step explanation:
I got it right on khan
A seagull is 19 feet above sea level. A fish swimming at the opposite distance of the seagull. What integer represents the fish?
Answers
Answer:
The integer representing the fish's depth is -19.
Step-by-step explanation:
Find the value of c that completes the square
x^2+7x+c
Please help me with how to do this, and show me. Thank you.
Answers
Answer:
c = [tex]\frac{49}{4}[/tex]
Step-by-step explanation:
Given
x² + 7x + c
To complete the square
add ( half the coefficient of the x- term )² to x² + 7x
x² + 2([tex]\frac{7}{2}[/tex] )x + [tex]\frac{49}{4}[/tex] , thus
= (x + [tex]\frac{7}{2}[/tex] )² ← a perfect square
with c = [tex]\frac{49}{4}[/tex]
Help me plz very hard
Answers
Answer:
19
Step-by-step explanation:
Answer:
y=19
Step-by-step explanation:
your equation is y=6x-11 with an input of 5 so you plug in 5 for x.
% times 6 is 30 and 30 minus 11 is 19
whats the percent change of 10 gallons to 24 gallons
Answers
Answer: 140%
Step-by-step explanation:
Answer:
140%
Step-by-step explanation:
BRAINLIEST PLSSSS
Help ASAP if you want brainliest
Answers
Answer:
Its C
Step-by-step explanation:
Answer:
c.27/31 fluid ounce...
Whoever gives me points and thanks gets them back :O
Answers
Answer:
i gotchu
Step-by-step explanation:
Quadrilateral ABCD undergoes a reflection across the x-axis to form quadrilateral a b c d the coordinates of a r the reflected quadrilateral a b c d is then translated three units to the right and third and two units up to form quadrilateral a quotation b quotation quotation see quotation
Answers
Solution :
From the figure,
The coordinates of --
A = (-5,-3)
B = (-6,-1)
C = (-3,-1)
D = (-2,-3)
When it undergoes reflection about x-axis, we have the coordinates of the quadrilateral as
A' = (-5,+3)
B' = (-6,+1)
C' = (-3,+1)
D' = (-2,+3)
Now A'B'C'D' is translated 3 units to right, so the coordinates will be --
A" = (-2,3)
B" = (-3,1)
C" = (0,1)
D" = (1,3)
When the quadrilateral moves third and two units up, we get
A"' = (3,3)
B"' = (2,1)
C"' = (5,1)
D"' = (6,3)
Answer:
Step-by-step explanation:
I thought i had the right answer, but it was wrong. So anyone want to to help me with this? Please dont steal points. 7 points each!
Answers
Answer:16 dollars per shirt
Step-by-step explanation:
Answer:
$16 profit per sweater
Step-by-step explanation:
$130-$50=$80
$80÷5=$16
An employee worked 36 hours last week. This week, she worked 48 hours. Find the percent increase. Round to the nearest percent.
Answers
Answer:
To the nearest percentage, percent increase is 33%
Step-by-step explanation:
Mathematically;
Percentage increase = (new - old)/old * 100%
new = 48 hours
old = 36 hours
% increase = (48-36)/36 * 100%
12/36 * 100%
1/3 * 100%
= 33.33%
Answer: 33% increase
Step-by-step explanation:
There were 43 children at the playground. Now there are 27 children at the playground. How many children left the playground? Ben says that 13 children left the playground. He thinks that 43 – 30 is easier to subtract than 43 – 27. He subtracts 43 – 30 and gets 13. Why is Ben's reasoning not correct?
Answers
Ben is incorrect because Ben did not answer the question according to the available information. The fact that subtracting 43 from 30 is easier for Ben does not mean it is the correct answer.
Q
ZOO
What is the equation in slope-intercept form of the line that passes through the points
(-6, 4) and (6, 10)?
Answers
Answer:
[tex]y = \frac{1}{2} x+7[/tex]
Step-by-step explanation:
Slope-intercept form: y = mx + b
Slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]
Given points: (-6, 4), (6, 10)
(-6, 4) = (x1, y1)
(6, 10) = (x2, y2)
To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.
First, let's find the slope. To do this, input the given points into the slope formula:
[tex]\frac{10-4}{6-(-6)}[/tex]
Simplify:
10 - 4 = 6
6 - (-6) = 6 + 6 = 12
[tex]\frac{6}{12}=\frac{1}{2}[/tex]
The slope is [tex]\frac{1}{2}[/tex].
To find the y-intercept, input the slope and one of the given points(in this example I'll use point (6, 10)) into the equation and solve for b:
[tex]10 = \frac{1}{2}(6)+b[/tex]
10 = 3 + b
7 = b
The y-intercept is 7.
Now that we know the slope and the y-intercept, we can write the equation:
[tex]y = \frac{1}{2} x+7[/tex]
An alloy consists of nickel, zinc, and copper in the ratio 2:7:9.
a
How much of each metal is needed to make 3.6 kg of this alloy?
Answers
Answer:
0.4kg, 1.4kg and 1.8kg
Step-by-step explanation:
Given parameters:
Mass of alloy = 3.6kg
Ratio of elements in the alloy = 2:7:9
Unknown:
Mass of each element in the alloy = ?
Solution:
To find the mass of each element in the alloy, first find the sum of the ratio;
2+7+9 = 18
Mass of nickel = [tex]\frac{2}{18}[/tex] x 3.6 = 0.4kg
Mass of zinc = [tex]\frac{7}{18}[/tex] x 3.6 = 1.4kg
Mass of copper = [tex]\frac{9}{18}[/tex] x 3.6 = 1.8kg
The mass of each metal is 0.4kg, 1.4kg and 1.8kg
Answer:
Nickle=0.4
Zinc=1.4
Copper=1.8
Step-by-step explanation:
What is the distance between the points (8,-4) and (-5, -4)
Answers
Answer: 13
Step-by-step explanation:
after eating at a restaurant the bill for your table is $62.50. There is a 6% sales tax and you want to leave a tip for 18% based on the pre-tax amount. How much money do you need to cover your final bill?
Answers
Answer:
Step-by-step explanation:
Your bill is $62.50
$62.50 * .06 = $3.75 (this is your sales tax added)
So your total is up to: $66.25
Adding the tip the same way using $66.25 *.18 = $11.93
Tip would be $11.93
Total coming to: $78.17
hope this helps
Answer:
$77.50
Step-by-step explanation:
Tax:
62.50x0.06= 3.75
3.75+62.50= 66.25
Tip:
62.50x0.18= 11.25
Answer:
66.25+11.25= 77.50
Write the following numbers in scientific notation 56,089
Answers
Answer:5.6089*10^4
Step-by-step explanation:
Which ones are equivalent?
Answers
Answer:
1st one, 3rd one, and 5th one.
Answer:
The first, third and the fifth.
Step-by-step explanation:
First one is equivalent
√(8^2*8^2)
= √64*64
= √64.
8^1/2 * 8^1/2
= 8^1
= √64.
√(16*4)
= √64.
Please help! Only if you know though :))$
Answers
Answer:
180
Step-by-step explanation:
Jake bought two shirts and one pair of pants for six dollars mike bought one shirt and one pair of pants for four dollars how much is each shirt and each pair of pants the system of equations used to solve this would be 2X plus Y equals six and X plus Y equals four
Answers
Using the elimination method, we can solve this system of equations. You must find a common multiple of both equation for either x or y. I chose to multiply equation 2 by (-2) so that the x would be eliminated, allowing us to solve for y.
Work: