[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:The \:\: angles \:\: are \:\: 60° \:\: and \:\:30° [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Sum of two complementary angles is 90°
Let's assume one of them to be x, the other one will be x/2 as one of the angles is complementary to other one.
[tex]\qquad \tt \rightarrow \: x + \dfrac{x}{2} = 90[/tex]
[tex]\qquad \tt \rightarrow \: \dfrac{2x + x}{2} = 90[/tex]
[tex]\qquad \tt \rightarrow \: 3x = 90 \times 2[/tex]
[tex]\qquad \tt \rightarrow \: x = 180 \div 3[/tex]
[tex]\qquad \tt \rightarrow \: x = 60 \degree[/tex]
and
[tex]\qquad \tt \rightarrow \: \dfrac{x}{2} = 60 \div 2 = 30 \degree[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
how do you solve 5 ( square root of 164)?
The number obtained by multiplying 5 and square root 164 is 64.
What is square root operator in mathematics?The square root operator in mathematics can be defined as a factor of a number that, when multiplied by itself, gives the original number.
The square root operator in mathematics is denoted by the symbol "√".
The problem 5 (square root of 164) is calculated as follows;
5 ( square root of 164) = 5√164
5√164 = 5(12.8) = 5 x 12.8 = 64
Thus, we can conclude that using the mathematics operator "√", the number obtained from 5 (square root of 164) will be greater than 5 but less than 164.
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If 3 pounds of jelly beans cost $6.30,
how much would 2 pounds of jelly beans cost?
Answer: 4.20
Step-by-step explanation:
6.30 / 3 = 2.10
2.10 x 2 = 4.20
Can u pls help me! I need this answers ASAP
Answer:
y=mx+b so the answer is 28980/420 which equals 69 lol
Step-by-step explanation:
Help ASAP please! Thank you
evaluate the function when x = -2, 0, and 5
1) f(x) = 1.5x + 1
2) g(x) = 11 - 3x + 2
3) h(x) = - 3 - x - 2
1) At x = -2, 0, and 5, the solutions are; f(-2) = -2, f(0) = 1 and f(5) = 8.5
2) At x = -2, 0, and 5, the solutions are; g(-2) = 18, g(0) = 13, g(5) = -2
3) At x = -2, 0, and 5, the solutions are; h(-2) = -3, h(0) = -5 and h(5) = -10
How to solve Linear Functions?
We want to evaluate each of the given functions when x = -2, 0, and 5.
1) f(x) = 1.5x + 1
At x = -2, we plug in -2 for x in the linear equation to get;
f(-2) = 1.5(-2) + 1
f(-2) = -2
At x = 0, we plug in 0 for x in the linear equation to get;
f(0) = 1.5(0) + 1
f(0) = 1
At x = 5, we plug in 5 for x in the linear equation to get;
f(5) = 1.5(5) + 1
f(5) = 8.5
2) g(x) = 11 - 3x + 2 = 13 - 3x
At x = -2, we plug in -2 for x in the linear equation to get;
g(-2) = 13 - 3(-2)
g(-2) = 18
At x = 0, we plug in 0 for x in the linear equation to get;
g(0) = 13 - 3(0)
g(0) = 13
At x = 5, we plug in 5 for x in the linear equation to get;
g(5) = 13 - 3(5)
g(5) = -2
3) h(x) = -3 - x - 2 = -5 - x
At x = -2, we plug in -2 for x in the linear equation to get;
h(-2) = -5 - (-2)
h(-2) = -3
At x = 0, we plug in 0 for x in the linear equation to get;
h(0) = -5 - 0
h(0) = -5
At x = 5, we plug in 5 for x in the linear equation to get;
h(5) = -5 - 5
h(5) = -10
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if you have 120 calories in 3/4 cups of cereal. How many calories do you have in 6 cups of cereal. PLease help me.
The number of calories in 6 cups of cereal are 960 calories.
Given that:-
Number of calories in 3/4 cups of cereal = 120 calories
We have to find the number of calories in 6 cups of cereal.
We will use the unitary method in this question.
Number of calories in 1 cup of cereal = 120*(4/3) = 160 calories
Hence,
Number of calories in 6 cups of cereal = 160*6 = 960 calories
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Find the equation of the linear function.
The equation of the linear function represented by the given table in slope intercept form is y = 2x - 2.
How to find equation of a linear function from points?The equation of line can be determine using the slope-intercept formula;
y = mx + b
Where m is slope and b is the y-intercept.
From the given table, we use to points;
Point 1( -1, -4 )
x₁ = -1y₁ = -4Point 2( 1, 0 )
x₂ = 1y₂ = 0First, we find the slope of the line.
Slope m = (y₂ - y₁) / (x₂ - x₁ )
Slope m = ( 0 - (-4) ) / (1 - (-1) )
Slope m = ( 0 + 4) ) / (1 + 1) )
Slope m = 4 / 2
Slope m = 2
Next, we find the y-intercept b, using a slope m = 2 and a point ( -1, -4 ).
y = mx + b
-4 = 2(-1) + b
-4 = -2 + b
b = -4 + 2
y-intercept b = -2
Now that we have the slope m and y-intercept b, plug the values into to y = mx + b to determine the equation of line.
y = mx + b
y = 2x + (-2)
y = 2x - 2
Therefore, the equation of the linear function is y = 2x - 2.
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If PQ QR, QR= 8, and RS = 11, what is the length of PS?
Answer:i don't know if right but 19
Step-by-step explanation:
Question 4: The Wilson family is a family of 7 people. They have used 5,785.23 gallons of water so far this month. They cannot exceed 11,375.50 gallons per month during drought season. Write an inequality to show how much water just one member of the family can use for the remainder of the month, assuming each family member uses the same amount of water every month.
7x + 5,785.23 ≥ 11,375.50
7x + 5,785.23 ≤ 11,375.50
7x - 5,785.23 ≥ 11,375.50
7x - 5,785.23 ≤ 11,375.50
The inequality that show the amount of water that each member uses is 7x + 5785.23 ≤ 11375.50.
How to solve the inequality?1) Place all terms of the inequality on the same side.
2) Replace the sign of inequality with the sign of equality.
3) Solve the equation, that is, find its root.
4) Study the sign of the equation, identifying the values of x that represent the solution of the inequality.
Let x represent the amount of water each member uses monthly. The Wilson family is a family of 7 people. They have used 5,785.23 gallons of water and cannot exceed 11,375.50 gallons per month. Hence:
7x + 5785.23 ≤ 11375.50
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Please help me Please help me
The answers of the given question are a followed
2. Same side interior angle theorem
3. Same side interior angle theorem
4. Vertical angle theorem
5. Vertical angle theorem
6. Substitution
What is vertical angle theorem?
The Vertical Angle Theorem states that two intersecting lines' opposing angles must be congruent, or of equal value. The angles opposite to each other will always be congruent, or equal in value, regardless of the manner in which or the location at which two straight lines intersect one another:
Two straight lines that cross each other create two linear pairs, according to the Vertical Angle Theorem. As a result, the adjacent angles created by the intersection of two lines are supplementary angles, meaning that their angles sum to 180 degrees:
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What is 9792381 ÷ 13 with the remainder? How do you solve for that?
The value of 9792381 ÷ 13 with the remainder will be 753260 remainder 1.
What is division?In contrast to multiplication, division is the process of dividing a given sum into equal pieces.
To solve the division will be illustrated as thus;
The formula to calculate the division of two numbers is: Dividend ÷ Divisor = Quotient + Remainder.
Calculate the division as usual using your calculator. Once you have the result in decimal form, take the entire number out and multiply the decimal value that remains by the original problem's divisor. The outcome is your remainder.
In this case, the value when we divide 9792381 by 13 is 753260 remainder 1.
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Guys please explain how you get this I have an exam in half an hour sobs
Answer:
0.62853934
Step-by-step explanation:
Use a calculator.
I didn't get very far by hand. I've attached my partial solution.
pls pls help whoever gets it right gets marked brainliest
The distance between the starting point and the second obstacle is 13 meters.
And the total length of one lap is equal to the perimeter of the triangle, which measures 30 meters.
How to get the distance between the starting point and the second obstacle?
We can see that this distance is equal to the hypotenuse of the triangle on the image.
The two legs measure:
5 meters and 12 meters.
Then using the Pythagorean theorem we can write:
d^2 = 5^2 + 12^2
d = √(5^2 + 12^2) = 13
So the distance between the starting point and obstacle 2 is 13 meters.
b) This will be the perimeter of the triangle, it is:
P = 13 m + 12m + 5m = 30m
One full lap has a length of 30 meters.
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Ava's bedroom has an area of 36 square feet. The bedroom is 6 times as many square feet as Ava's closet. If the closet is 3 feet wide, what is the length of the closet?
First find the area of the closet.
Answer:
The area of Ava's closet is 2 square feet.
Step-by-step explanation:
The area of the bedroom is 36 and it is 6 times as many square feet as her closet. They are basically saying that the closet has 1/6th the area of the bedroom.
Now we can form an equation to find the area of her closet.
36 ÷ 6 = 6
So, therefore, the area of the closet is 6 square feet.
We know the width of the closet, which is 3 feet. Since the formula of area for her closet is Length × Width, we can form an equation for this.
X in this equation is what we are trying to solve for, which is the length of the closet.
X = 6 ÷ 3
X = 2
So, therefore, the area of Ava's closet would in the end be 2 square feet.
Let me know if you have any questions! :)
One number is one more than a second number. Five times the first is 3 less than 6 times the second. Find the numbers.
The value of the first number is
The value of the second number is
$
The value of the first number is 9 , and
the value of the second number is 8 .
In the question ,
statements about two numbers is given ,
let the first number be x ,
let the second number be y .
According to the first statement " One number is one more than a second number "
translating it into the equation form , we get
x=y+1 ...(i)
According to the second statement which states " Five times the first is 3 less than 6 times the second "
translating it into the equation form , we get
5*x = 6*y - 3
5x = 6y - 3
Substituting the value of x from equation (i) , we get
5(y+1) = 6y - 3
5y + 5 = 6y - 3
6y-5y = 5+3
y = 8 ,
substituting y=8 in the the equation (i) ,
x = 8 + 1
x = 9
hence the first number = 9 and the second number = 8 .
Therefore , the value of the first number is 9, and
the value of the second number is 8 .
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I NEED HELPPPPPPPPPPPPPPPPPPPPP
Answer:
Step-by-step explanation:
huh???????????????
Saif estimates that 12 batteries will be defective for a certain month. However, 10 were actually defective. What is the percent error?
The percent error for the batteries is 20%
Estimated defective batteries as per Saif = 12 batteries
Actual defective batteries = 10
Percent error is given by the formula:
Percent error = (E-T/E)*100
where E is the experimental value and T is the theoretical value
Substituting the values in the formula we get:
= (12-10/12)*100
= 20%
The difference between an approximate or measured value and an exact or known value is expressed as a percentage error, also known as a % error. In science, it is used to document the discrepancy between a real or accurate value and a measured or experimental value.
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Are the ratios 2:3 and 4:5 equivalent?
Answer:
No
Step-by-step explanation:
In order to have the same ratio, it would have to be 2:3 and 4:6 because you divide it by 2
start fraction, 3, divided by, 5, end fraction of an hour. Jessica waxes the floor at a constant rate.
At this rate, how many square meters can she wax per hour?
Answer:
33 square meters per hour
Step-by-step explanation:
a grain of salt has an approximate length of 9.8x10 to the -4 feet. The approximate height of Mt. Everest is 2.9035x10 to the power of 4 feet. Calculate the approximate number of grains of salt it would take to reach the height of Mt. Everest..
The approximate number of grains of salt it would take to reach the height of Mt. Everest is; 0.2963 * 10⁸
How to divide exponents?We are given;
Approximate length of a grain of salt = 9.8 * 10⁻⁴ ft
Approximate height of Mt. Everest = 2.9035 * 10⁴ ft
Now, we want to know the approximate number of grains of salt it would take to reach the height of Mt. Everest. To get this it means we have to divide the Approximate height of Mt. Everest by the Approximate length of a grain of salt.
According to Laws of exponents, we know that;
x³/x² = x^(3 - 2) = x¹
Thus;
Approximate number of grains of salt it would take to reach the height of Mt. Everest = (2.9035 * 10⁴)/(9.8 * 10⁻⁴) = (2.9035/9.8) * (10⁴⁻⁽⁻⁴⁾) = 0.2963 * 10⁸
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write the number positioned at point A
The number positioned at point A is -4.25.
What is a number line?A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numbers (numerical values) that are placed at equal intervals along its length.
This ultimately implies that, a number line can be used to compare two numbers such as 4 and 1. Also, a number line typically increases in numerical value towards the right and decreases in numerical value towards the left.
In this scenario, the given number line uses a scale of 1:0.25. Therefore, the number (numerical value) that is placed at point A is given by:
Point A = -4.5 - 0.25
Point A = -4.25.
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|6n|≤18 what is the answer and how do you graph it
question in screenshot
Cosine is a trigonometric ratio that means
[tex] = \frac{adjacent}{hypotenuse} [/tex]
THE ADJACENT SIDE IS THE ONE WITH MAGNITUDE 17CM AND THE HYPOTENUSE IS THE LONGEST SIDE WITH 37CM
COS(63°) AS A FRACTION IS
[tex] \frac{17}{37} [/tex]
given=1/5x-5=5 prove x=50
Prove that x = 50 in the following equation: 1/5x – 5 = 5
Write the equation:
1/5x – 5 = 5
Add 5 to both sides:
1/5x – 5 + 5 = 5 + 5
1/5x = 10
Multiply each side by 5:
5 × 1/5x = 10 × 5
–5 + 5 cancels out, leaving you with:
1x = 10 × 5
1x = 50
Divide both sides by 1 to get x:
1x/1 = 50/1
The 1 cancels out:
x = 50/1
Answer:
x = 50 ✔
Check your work by plugging in 50 as x:
1/5x – 5 = 5
1/5 × 50 – 5 = 5
Multiply:
1/5 × 50/1 – 5 = 5
50/5 – 5 = 5
Get rid of the fraction by dividing:
50 ÷ 5 = 10
10 – 5 = 5
Subtract:
10 – 5 = 5
5 = 5 ✔
I have just proven that x = 50 because the answer I got when I checked my work was balanced. Hope that helps! Have an amazing rest of your day! :)
What is the image point of (-8, 1) after the transformation D20 R1800 ?
I hope this helps
The image is (−8,−1). See explanation.
Explanation:
To find an image of P(x,y) in translation Ta,b you add a and b to x and ycoordinates respectively, so the image is:
Ta,b(x,y)=(x+a,y+b)
Here we can write that:
T−3,−2(−5,1)=(−5−3,1−2)=(−8,−1)
find the value of x and the measure of each angle
Answer:
see explanation
Step-by-step explanation:
since QR ≅ RS , the triangle is isosceles with base angles congruent, so
∠ Q = ∠ S , that is
8x - 17 = 5x + 1 ( subtract 5x from both sides )
3x - 17 = 1 ( add 17 to both sides )
3x = 18 ( divide both sides by 3 )
x = 6
Then
∠ Q = 8x - 17 = 8(6) - 17 = 48 - 17 = 31°
∠ R = 19x + 4 = 19(6) + 4 = 114 + 4 = 118°
∠ S = 5x + 1 = 5(6) + 1 = 30 + 1 = 31°
WILL MARK BRAINLEIST!
(02.02 MC)
Use the graph to fill in the blank with the correct number.
f(0)=______
1
0
-2
-3
Answer:
The answer is 1
The growth rate of the virus that causes covid-19 is 24% compounded continuously. If
a sample of the virus has 125 cells, how many cells will be present in the sample after
5 days? Round your answer to the nearest cell.
166.25E + 4500 cells will be present in the sample after 5 days.
How to find the number of cells present?Given,
Cells 24% compounded continuously,
A sample of the virus has 125 cells.
To find:
No cells will be present in the sample after 5 days
Solution:
a = p ( 1 + r/n)nt
a = 125 ( 1 + 24/24)^24*5
a = 125(2)^120
a = 125 * 1.3292279957849E+36
a = 166.25E + 4500
166.25E + 4500 cells will be present in the sample after 5 days.
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The weight of a horse is 350kg to the nearest 10kg. Complete the error interval for the mass of the
horse.
The accuracy thresholds that apply when a number has been rounded or shortened are known as error intervals. In other words, they represent the range of values that a number may have taken had it not been rounded off or truncated.
What is error interval?The place value of the degree of accuracy is 0.1. If rounded: Divide this place value by 2, and then add and subtract this amount to the given value to give the maximum and minimum values for your error interval. Minimum 22.7 – 0.05 = 22.65 cm.An error interval tells us the range of numbers that we could have had before the number was rounded. The number has been rounded to 4.8 to one decimal place. We need to look half way between 4.7 and 4.8 for the lower bound and half way between 4.8 and 4.9 for the upper bound.To learn more about Error interval refer to:
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Jason drops a ball from a balcony. The height of the ball is represented by the equation
y = -4.9x² +9.8, where y represents the height in meters and x represents the number
of seconds that pass. After approximately how many seconds will the ball reach the
ground?
A 0.7
B 1.4
C1.9
D 2.6
After approximately 1.4 seconds will the ball reach the ground.
The relation between height and the time in seconds is,
y = -4.9x² + 9.8
Here y represent height in meters and x is time in seconds.
Let us assume that the origin is on the ground,
Now we know,
If the ball is dropped from the top at t = 0.
It will reach down to the ground after x seconds.
When it will down to the ground, and the value of y will become zero,
We can write,
y = -4.9x² + 9.8
0 = -4.9x² + 9.8
4.9x² = 9.8
x² = 2
x = √2
x = 1.41 seconds.
The time taken by ball to reach down to the ground is 1.41 seconds.
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Use the following function rule to find g(-p). Simplify your answer.
g(x) = 9W + 4
g(-p) =