Answer:
[tex]\frac{3\pi }{4} \ and \ \frac{5\pi }{4} .[/tex]
Step-by-step explanation:
[tex]1. \ cosx=-\frac{\sqrt{2} }{2};\\x=^+_-\frac{3 \pi}{4}+2 \pi n, \ where \ n=Z.[/tex]
2. finally, the answer is
[tex]\frac{3\pi }{4} \&\frac{5\pi }{4} .[/tex]
The size, x, in an automobile tire can affect its performance. Both over-sized and under-sized tires can lead to poor performance and poor mileage. The tire size that yields the best performance for the car Michael wants is given by 0.2(x - 25.5) + 0.3 = - 0.2(x - 16).Find the tire size that will yield the best performance for Michael’s car.
The tire size that will yield the best performance for Michael’s car is 20.
The equation given is,
0.2(x - 25.5) + 0.3 = - 0.2(x - 16)
From this, we have to solve for x, which will give the size of the tire.
Simplify the equation as follows to find x,
0.2(x - 25.5) + 0.2(x - 16) = - 0.3
0.2x - (0.2 × 25.5) + 0.2x - (0.2 × 16) = - 0.3
0.2x - 5.1 + 0.2x - 3.2 = - 0.3
0.4x - 8.3 = - 0.3
0.4x = - 0.3 + 8.3
0.4x = 8
x = 8/0.4 = 20.
Increasing the wheel diameter also increases the final deceleration which has two consequences. Acceleration potential is reduced but a higher final speed is achieved. In other words, the bigger the car's tires the slower it accelerates but the higher its top speed.
We recommend choosing smaller wheels for more power and as many times as possible for maximum traction. On average, a 15 x 3.75 or larger front wheel gives the best results. For the rear, a 15 x 10 wheelset is ideal.
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21= ______hL how many hL
We want to convert litres L to Hectolitres hL.
[tex]1L=0.01L[/tex]one litre equals 0.01 hectolitre.
So, to convert 2L to hL, we have;
[tex]\begin{gathered} 1L=0.01L \\ 2L=0.02L \end{gathered}[/tex]which function is equivalent to y = 3(x + 4)² + 5?A) y = 3x² + 21B) y = 3x² + 24x + 63C) y = 3x² + 24x + 53D) y = 3x² + 8x + 21
Given: The function
[tex]y=3(x+4)^2+5[/tex]To Determine: The equivalent function of the given function
Solution:
Step 1: Expand the parenthesis
[tex]\begin{gathered} y=3(x+4)^2+5 \\ (x+4)^2=(x+4)(x+4) \\ (x+4)^2=x(x+4)+4(x+4) \\ (x+4)^2=x^2+4x+4x+16 \\ (x+4)^2=x^2+8x+16 \end{gathered}[/tex]Step 2: Substitute the expanded into the function
[tex]\begin{gathered} y=3(x+4)^2+5 \\ y=3(x^2+8x+16)+5 \\ y=3x^2+24x+48+5 \\ y=3x^2+24x+53 \end{gathered}[/tex]Hence, the equivalent function to the given is y = 3x²+24x+53, OPTION C
Which statement justifies why ∠ABF measures 130°?Given: angles ABD and DBC are complementary
SOLUTION:
We are to find the statement that justifies why
Given that
50 degrees +
In conclusion, the justified statement is "a linear pair is two adjacent, supplementary angles.
Answer:
B
Step-by-step explanation:
another person person said it was n had 5stars
Which of the following represents the synthetic division form of the long division problem below? x - 3x+4/ x-5
The number on the left in the synthetic division form is the root of the divisor polynomial. The root of x-5 is 5
The numbers on the right are the coefficients of the dividend polynomial: 1 -3 4
The correct answer is option B
is (18,302) a solution to the equation y=300?
No
Explanations:Note that:
the solutions to an equation are the values, if substituted into the equation, that will make the equation true.
The given equation is:
y = 300
(18, 302) means that x = 18, y = 302
Since the equation given is y = 300 and not y = 302, the point (18, 302) is not a solution to the equation.
Solve the inequality - 12 > -16. Then graph the solution.
Solve the inequality c - 12 > -16.
[tex]\begin{gathered} c-12>-16 \\ c-12+12>-16+12 \\ c>-4 \end{gathered}[/tex]Plot the solution on the number line.
2) Chang saves up enough money to surprise his momand buy her a new blouse for her birthday. The blousecosts about $70 and he uses a coupon for 20% off. Howmuch does he save by using the coupon?
2) Chang saves up enough money to surprise his mom and buy her a new blouse for her birthday. The blouse costs about $70 and he uses a coupon for 20% off. How much does he save by using the coupon?
_________________________________
coupon for 20% off
20% = 0.2
The total of 100% of the price minus the discount =
100% - 20% = 80% or 1- 0.2 = 0.8
So then,
$70* 0.8 = $ 56 he pays
70 - 56 = 14 he saves
__________________________
Answer
He saves 14 by using the coupon
____________________
70*0.2= 14
Identify an equation in point-slope form for the line parallel to y = 1/2x - 7 thatpasses through (-3,-2).
ANSWER:
D.
[tex]y+2=\frac{1}{2}(x+3)[/tex]EXPLANATION:
Given:
[tex]y=\frac{1}{2}x-7[/tex]Recall that the slope-intercept form of the equation of a line is generally given as;
[tex]y=mx+b[/tex]where;
m = slope of the line
b = y-intercept of the line
Comparing both equations above, we can see that the slope(m) of the line is 1/2 and the y-intercept(b) is -7
Recall that parallel lines have the same slope. So the line that is parallel to the given line will have the same slope(m) of 1/2
Given the point (-3, -2), we can go ahead and write the equation of the parallel line in point-slope form as seen below;
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ y-(-2)=\frac{1}{2}[(x-(-3)] \\ y+2=\frac{1}{2}(x+3) \end{gathered}[/tex]Evaluate the function f(x) = 5 -√x at each specified value and simplify. 1. f(9)
Answer:
f(9)=2
Explanation:
The function f(x) is defined as follows:
[tex]f(x)=5-\sqrt[]{x}[/tex]To find the value of f(9), we substitute 9 for x in f(x) as follows:
[tex]\begin{gathered} f(9)=5-\sqrt[]{9} \\ =5-3 \\ =2 \end{gathered}[/tex]Jeremiah wants to send some of his shirts to a dry cleaner. He usually takes his shirts
to Spot-Less Dry Cleaners, where he pays $4.50 per shirt. He sees a sign at No Mess
or Stress Dry Cleaners that says it's $21.00 to have 4 shirts cleaned. Which is the
better deal?
Answer: Spot-less dry cleaners
Step-by-step explanation:
21/4=$5.25
$4.50<$5.25
The percent markup on the cost price of a dress is the same as the cost price in dollars. If the dress is sold for $24, what was the cost price of the dress ?
Markup is the difference between a product's selling price and cost as a percentage of the cost.
If we call the cost of the dress as x, the markup is given by the following expression
[tex]markup=\frac{24-x}{x}\times100[/tex]The percent markup on the cost price of a dress is the same as the cost price in dollars, therefore, we can rewrite the previous expression as:
[tex]x=\frac{(24-x)\cdot100}{x}[/tex]Solving for x, we have:
[tex]\begin{gathered} x=\frac{(24-x)\cdot100}{x} \\ x^2=2400-100x \\ x^2+100x-2400=0 \\ \implies x=-120\:or\:x=20 \end{gathered}[/tex]Since we can't have a negative cost price, the markup is 20% and the cost price of the dress is $20.
Create a real-world problem involving a cube - Use a perfect cube as its volume - Show using cube roots to find one edge
PART A
A box of sugar has equal lengths of 6 inches. Calculate the volume of sugar that can fill the box.
The volume of the box can be calculated using the cubic volume formula given to be:
[tex]V=l^3[/tex]Therefore, the volume of the box of sugar is calculated to be:
[tex]\begin{gathered} V=6^3 \\ V=216\text{ cubic inches} \end{gathered}[/tex]PART B
An ice cube is said to contain a volume of 8 cubic inches of water. What will be the length of one side of the cube?
The length of the cube can be calculated using the formula:
[tex]l=\sqrt[3]{V}[/tex]Hence, we can solve to be:
[tex]\begin{gathered} l=\sqrt[3]{8} \\ l=2\text{ inches} \end{gathered}[/tex]Christina jarred 21 liters of jam after 3 days. How much jam did she jar if she spent 7 days making jam?
Answer:
49 liters
Explanation:
We know that Christina jarred 21 liters of jam in 3 days, so using this ratio, we can calculate the how much jam she jarred after 7 days as follows
[tex]7\text{ days}\times\frac{21\text{ liters}}{\text{ 3 days}}=49\text{ liters}[/tex]Therefore, the answer is 49 liters.
Complete the congruence statement.
Answer:
MCL
Step-by-step explanation:
Answer:
MCL
Step-by-step explanation:
the triangles are flipped in 2 directions so just write the angle like it’s opposite to each other
Hopes this helps please mark brainliest
Write an equation in slope-intercept form for the line with slope-2 and y-intercept 3.
Answer:
wait I will do it
Step-by-step explanation:
i will sent it after sometimes
Find the missing side length and angles of ABC given that m A = 41°, b = 4, and c = 10.
To solve this question, we would use cosine rule which is given as
[tex]a^2=b^2+c^2-2bc\cos A[/tex]Our values have been defined for us and we will proceed to evaluate
[tex]\begin{gathered} a^2=4^2+10^2-2(4)(10)\cos 41 \\ a^2=16+100-80\cos 41 \\ a^2=116-60.376 \\ a^2=55.624 \\ \text{take the square root of both sides} \\ a=\sqrt[]{55.624} \\ a=7.458\approx7.5 \end{gathered}[/tex]From the calculations above, the value of the missing side a is 7.5 units
To find angle B,
we can use sine rule
[tex]\begin{gathered} \frac{a}{\sin A}=\frac{b}{\sin B} \\ \frac{7.5}{\sin 41}=\frac{4}{\sin B} \\ \sin B=\frac{4\times\sin 41}{7.5} \\ \sin B=0.3498 \\ B=\sin ^{-1}0.3498 \\ B=20.5^0 \end{gathered}[/tex]We can still approach C with sine rule or sum of angle in a triangle
[tex]\begin{gathered} A+B+C=180 \\ 41+20.5+C=180 \\ c=118.5^0 \end{gathered}[/tex]From the calculations above, the value of a = 7.5 , B = 22⁰ and C = 118.5⁰ respectively which is option B
42.1069 rounded to the nearest thousandth is
ANSWER
42.107
EXPLANATION
To round a number to the nearest thousandth we have to look at the next number. If that number is 5 or greater than 5, then we have to add 1 to the thousandths. If it's less than 5, then we leave it like it is and eliminate the other decimals.
In this case, the next number to the thousandth is 9, which is greater than 5. Therefore, we have to turn the 6 into a 7: 42.107
The total points scored in the games of an NBA playoff series:195 177 215 200 189 232 201 199 192 201 Round any of the following answers to 1 decimal if needed. If there is no mode type NONE in the answer box.Mean = Median = Mode = Maximum = Minimum =
Solution
Step 1:
Arrange the number in ascending order of magnitude.
177, 189, 192, 195, 199, 200, 201, 201, 215, 232
Step 2:
[tex]\begin{gathered} Mean=\frac{177+189+192+195+199+200+201+201+215+232}{10} \\ \\ Mean\text{ = }\frac{2001}{10} \\ \\ Mean\text{ = 200.1} \end{gathered}[/tex][tex]\begin{gathered} Median\text{ = }\frac{199+\text{ 200}}{2}\text{ } \\ \\ Median\text{ = }\frac{399}{2} \\ \\ Median\text{ = 199.5} \end{gathered}[/tex]Mode is the most occurring number.
Mode = 201
Maximum = 232
Minimum = 177
write an equation for the graph below in terms of xy=______
Given the graph of a line.
We will write the equation of the line using two points lying on the line
As shown, the line passes through the points (0, 1) and (-1, 3)
The general equation of the line is: y = m * x + b
Where (m) is the slope and (b) is the y-intercept
We will find the slope as follows:
[tex]slope=m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}=\frac{3-1}{-1-0}=\frac{2}{-1}=-2[/tex]And the value of b = the value of (y) when x = 0
So, b = 1
So, the answer will be, the equation of the line:
[tex]y=-2x+1[/tex]Determine if (−2,4) is a solution to the following system of inequalities.-3x > -7y -37x > -5y -4
Remember that ordered pairs are written in the form (x,y).
Then, to check if (-2,4) is a solution to the system of inequalities, both of the given inequalities should be verified when replacing x=-2 and y=4.
Replace x=-2 and y=4 into the inequalities and check if both of them are satisfied or not.
-3x > -7y - 3
[tex]\begin{gathered} \Rightarrow-3(-2)>-7(4)-3 \\ \Rightarrow6>-28-3 \\ \Rightarrow6>-31 \end{gathered}[/tex]Sice 6 is greater than -31, then this inequality is satisfied by (-2,4).
7x > -5y-4
[tex]\begin{gathered} \Rightarrow7(-2)>-5(4)-4 \\ \Rightarrow-14>-20-4 \\ \Rightarrow-14>-24 \end{gathered}[/tex]Since -14 is greater than -24, then this inequality is satisfied by (-2,4).
Since both inequalities are satisfied by (-2,4) then (-2,4) is a solution to the given system of inequalities.
What is the value of h? 48 sqrt 3168 sqrt 2
From definition:
[tex]\sin (angle)=\frac{\text{opposite side}}{\text{ hypotenuse}}[/tex]From the picture:
[tex]\begin{gathered} \sin (45)=\frac{8}{h} \\ \frac{1}{\sqrt[]{2}}=\frac{8}{h} \\ h=8\cdot\sqrt[]{2} \end{gathered}[/tex]100 + (n - 2) ^ = 149 how do I solve this what is the first step??
The given expression is
[tex]100+(n-2)^2=149[/tex]First, we have to subtract 100 on each side
[tex]\begin{gathered} 100-100+(n-2)^2=149-100 \\ (n-2)^2=49 \end{gathered}[/tex]Hence, the answer is the first option, that's the first step.The reason for this first step is because we can't take a square root without getting rid of the terms 100, otherwise, the process would be wrong.
give the function f(x)=-2x-5 determine the value of f(-3)
We have the next function
[tex]f(x)=-2x-5[/tex]And we must calculate f (-3).
To calculate it we must replace x = -3 in the function.
[tex]f(-3)=-2(-3)-5[/tex]Finally, we must simplify the answer
[tex]f(-3)=6-5=1[/tex]So, the answer is
[tex]f(-3)=1[/tex]A company installs a rectangular septic tank 10 ft long by 15 ft wide and 8 ft deep. Calculate the capacity of the tank in gallons. (Use 1ft^3 = 7.48 gal.)The capacity of the tank is:enter your response here gallons. (Round to the nearest gallon as needed.)
To find the capacity in gallons we firs need to find the volume.
The volume is given by:
[tex]V=lwh[/tex]Plugging the values given we have:
[tex]V=(10)(15)(8)=1200ft^3[/tex]Now that we know that we need to convert it, to do this we multiply by the factor given:
[tex]1200(7.48)=8976[/tex]Therefore the capacity of the tank is 8976 gal
Needing help with this practice problem please. Also, I need to show all work
ANSWER
L = 24 inches
W = 14 inches
EXPLANATION
Given tat
The length of the rectangular painting is 10 inches more than the width
Let the width of the rectangular painting be x
Recall, that the frame is 2 inches thick. This implies that there re 2 inches to the left ogf the length and 2 inches to the right of the length. So, there are more 4 inches to the length of the picture
Hence, the new length is
L = (x + 10) + 4
L = x + 10 + 4
L = x + 14
Also, for the width of the painting, we have
w = x + 4
Recall, that the area of a rectangle is given below as
Area = L x W
[tex]\begin{gathered} \text{ Area of a rectangle = L x W} \\ \text{ L = x + 14, and W = x + 4, and A = 336 in}^2 \\ \text{ 336 = \lparen x }+\text{ 14\rparen \lparen x }+\text{ 4\rparen} \\ \text{ Open the parentheses} \\ \text{ 336 = x}^2\text{ + 4x + 14x + 56} \\ \text{ 336 = x}^2\text{ + 18x + 56} \\ \text{ x}^2\text{ + 18x + 56 = 336} \\ \text{ x}^2\text{ + 18x + 56 - 336 =0} \\ \text{ x}^2\text{ + 18x - 280 = 0} \end{gathered}[/tex]Find the value of x by using factorizatin method
[tex]\begin{gathered} \text{ x}^2\text{ }+\text{ 28x - 10x - 280 = 0} \\ \text{ x\lparen x + 28\rparen - 10\lparen x + 28\rparen = 0} \\ \text{ \lparen x - 10\rparen \lparen x + 28 \rparen = 0} \\ \text{ \lparen x - 10\rparen = 0 or \lparen x + 28\rparen = 0} \\ \text{ x = 0 + 10 or x = 0 - 28} \\ \text{ x = 10 or x = -28} \end{gathered}[/tex]Find the length and the width of the rectngular painting
L = x + 14
L = 10 + 14
L = 24 inches
width
W = x + 4
W = 10 + 4
W = 14 inches
Hi i need help finding the answer? If you could helpMe out?
Given:
Given a figure.
The side of the square is 8.
The radius of the semicirles is 4.
Required:
To find the perimeter of the given figure.
Explanation:
Here the circumference is
[tex]\begin{gathered} =2\pi r \\ \\ =2\times3.14\times4 \\ \\ =25.12 \end{gathered}[/tex]Now the perimeter is
[tex]\begin{gathered} =25.12\times2 \\ =50.24 \end{gathered}[/tex]Final Answer:
The perimeter of the given figure is 50.24 inches.
The tables of ordered pairs represent some points on the graphs of Lines F and G.
Line F
x y
2 7
4 10.5
7 15.75
11 22.75
Line G
x y
-3 4
-2 0
1 -12
4 -24
Which system of equations represents Lines F and G?
1. y=1.75x+3.5
y=-4x-8
2. same as 1 but -8 is -2
3. 1.75 and 3.5 are switched
4. 2 and 3 combined
In linear equation, Equation for line F is y = 1.75x + 3.5 and equation for line G is y = -4x-8.
What is a linear equation example?
Ax+By=C is the typical form for linear equations involving two variables. A linear equation in standard form is, for instance, 2x+3y=5.Finding both intercepts of an equation in this format is rather simple (x and y).y = 1.75x + 3.5 (For line F)
let's take the point (2,7) and put in the equation,
y = 1.75*2 + 3.5
= 3.5 +0.35
= 7
which is true.
Hence, (2,7) satisfies the equation.
y = -4x-8 (For line G)
lets take the point (-3,4) and put in the equation,
y = (-4)*(3) - 8
= 12 - 8
= 4
which is true.
Hence, (-3,4) satisfies the equation.
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acellus
Find the point-slope equation for
the line that passes through the
points (9, -9) and (-2, 13). Use the first point in your equation.
Answer:
y = -2x + 9
Step-by-step explanation:
→ Find the change in x
13 --9 = 22
→ Find the change in y
-2 - 9 = -11
→ Divide to find gradient
22 ÷ -11 = -2
→ Write in standard form
y = -2x + c
→ Substitute in ( 9 , -9 )
-9 = -18 + c
→ Find c
c = 9
→ Write in specified form
y = -2x + 9
What is the value of the expression below when x = 5 and y 5? 6x — бу
We want to find the value of the given expression;
[tex]6x-6y[/tex]When x=5 and y=5;
Substituting these values in, we have;
[tex]\begin{gathered} 6(5)-6(5) \\ =30-30 \\ =0 \end{gathered}[/tex]Therefore, the answer to this question is zero.