The answer is x = 15.
15 or 20.33 are the possible values of the x.
What is algebraic Expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
We know that sin(x+37)°=cos(90°-(x+37)°) and cos(2x+8)°=sin(90°-(2x+8)°)
So we have sin(x+37)°=cos(2x+8)° becomes sin(x+37)°=sin(82°-2x)
For the above equation to be true, either of the following must hold:
x+37 = 82 - 2x (since the sin function is periodic)
x+37 = 180 - (82-2x)
Solving the first equation for x gives:
3x = 45
x = 15
Solving the second equation for x gives:
3x = 61
x = 20.33 (rounded to two decimal places)
Therefore, the possible values of x are 15 or 20.33 (rounded to two decimal places).
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What is the difference between the greatest and least amounts of rain?
Answer:
1 inch
Step-by-step explanation:
hshuehevdjdbevejdj
Answer pls it's due
wanna b my bestie :plead:
3 apples cost $1.00. How many apples for $2.00
Answer:
6 apples
Step-by-step explanation:
3 apples cost $1.00
so for $2.00, 2x3÷1=6
hope it helps. plz mark me as brainliest.
Answer:
6 apples
Step-by-step explanation:
if three apples are 1 dollar then every time you add a dollar you would get three more apples
so it would look somthing like
1$ = 3 apples
2$= 6 apples
3$= 9 apples
4$= 12 apples
so on
The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments 2 cm and 8 cm long. Find the length of the altitude to the hypotenuse? (Round to the nearest whole number). What is the Altitude ?
Answer:
Altitude of the right triangle is 4 cm.
Step-by-step explanation:
The altitude divides the right triangle's hypotenuse as 2 cm and 8 cm long.Let's use formula for similar right triangles proportional equation.I'll show you the diagram with steps.
For her birthday, Gale received $200. She would like to spend all or some of the money to take
guitar lessons. After an initial $50 fee to cover rental equipment, each guitar lesson will cost $25.
Write an inequality to determine how many lessons Gale could take using her birthday money.
Highlight your inequality in green. Then, solve the inequality.
Answer:
The inequality that can be used to determine the number of guitar lessons Gale could take using her birthday money is:
[tex]25x + 50 \leqslant 200[/tex]
The solution to the inequality is:
[tex]x \leqslant 6[/tex]
She can take at most, 6 guitar lessons
Step-by-step explanation:
Total amount Gale received is $200
For rental equipment, she paid $50
Each guitar lesson will cost $25
Let x represent the number of lessons she could take, then the total amount she will spend must bot exceed $200
The guitar lesson will cost a total of 25x
So, her total spending will be:
[tex]25x + 50[/tex]
This must be at most $200
[tex]25x + 50 \leqslant 20[/tex]
Solving the above inequality:
[tex]25x \leqslant 200 - 50 = 150[/tex]
[tex]x \leqslant \frac{150}{25} = 6[/tex]
Fiona is always looking for a great deal while shopping. Her favorite jeans regularly cost 40$. She found a sale rack where all of the jeans are marked 30$. What is the percentage of the discount on jeans
Divide the larger square into 10 equal columns or rectangles. Shade one rectangle. What part of the whole is the shaded rectangle? Write that part as a decimal and a fraction.
Answer:
[tex]Part=\frac{1}{10}[/tex]
[tex]Part=0.10[/tex]
Step-by-step explanation:
Given
[tex]Columns = 10[/tex]
[tex]Shaded = 1[/tex]
Required
Part of the whole
This is calculated as:
[tex]Part=\frac{Shaded}{Columns}[/tex]
Substitute [tex]Columns = 10[/tex] and [tex]Shaded = 1[/tex]
[tex]Part=\frac{1}{10}[/tex]
[tex]Part=0.10[/tex]
Help me please....... :(
Answer:
The Degree of the polynomial is 3
Find the volume of this square pyramid
Answer:
216
Step-by-step explanation:
Answer:
72yd
Step-by-step explanation:
Hope that helps
hsobsnsjns
82,78,86,82,94,84,90.What is the mode
Answer:
82 ☺️
Step-by-step explanation:
Help on here too plz there’s more in my acc I need help on all
Calculate the volume
OK a quarter steam covers a 100' square feet how many courts should you buy to stay in the wheelchair ramp
Answer:
He should buy about 2 quart of stain
Step-by-step explanation:
Find the diagram attached
First we need to find the area of the given ramp
The ramp consists of two identical triangles, a larger and small rectangles
Since area of triangle = 1/2 * base * height
Area of the identical triangles = 1/2 * 25ft * 25/12 ft (Note that 1ft = 12in)
Area of the 2 identical triangles = 2* 625/24ft² = 625/12 ft²
Area of the large rectangle = Length * Width
Area of the large rectangle = 25 1/12 * 5
Area of the large rectangle = 301/12 * 5
Area of the large rectangle = 1505/12 ft²
Area of the small rectangle = 25/12 * 5
Area of the small rectangle = 125/12 ft²
Area of the figure = 625/12 + 1505/12 + 125/12
Area of the figure = (625+1505+125)/12
Area of the figure = 2255/12
Area of the figure = 187.917
Area of the figure = 187.917ft²
Since a quarter steam covers a 100' square fee, then;
1 quarter = 100ft²
x = 187.917ft²
Cross multiply
100 * x = 187.917
100x =187.917
x = 187.917/100
x = 1.87917
x ≈ 2
Hence he should buy about 2 quart of stain
Raghav, Rajit, Junsu, Mia, and Umema were finished with lunch and began playing with drink straws. Each one was making a line design using either 3 or 4 straws. Since they had just come from math class where they had been studying special angles, Raghav pulled his pencil out of his bookbag and labeled some of the angles and lines. He then challenged himself and the others to find the values of x and y in degrees.
Show how you would find the values of x and y for Raghav’s straw figure shown below using a system of linear equations. (You may use a decimal to the tenths place for your answers for the angle measures.)
Answer:
x = [tex]25.8^{o}[/tex] and y = [tex]51.4^{o}[/tex]
Step-by-step explanation:
Known that he sum of angles on a straight line is [tex]180^{o}[/tex]. From the diagram;
2y + x + y = [tex]180^{o}[/tex]
x + 3y = [tex]180^{o}[/tex] ................ 1
Also,
2x + x + 2y = [tex]180^{o}[/tex]
3x + 2y = [tex]180^{o}[/tex] .............. 2
Using the elimination method, multiply equation 1 by 3 and equation 2 by 1
3x + 9y = 540 ............ 3
3x + 2y = [tex]180^{o}[/tex] ............. 4
7y = 360
y = [tex]\frac{360}{7}[/tex]
y = [tex]51.4^{o}[/tex]
substitute the value of y in equation 1,
x + 3y = [tex]180^{o}[/tex]
x + 3(51.4) = [tex]180^{o}[/tex]
x + 154.2 = [tex]180^{o}[/tex]
x = [tex]180^{o}[/tex] - 154.2
x = [tex]25.8^{o}[/tex]
Thus, x = [tex]25.8^{o}[/tex] and y = [tex]51.4^{o}[/tex]
MATH
NATION
The data from a survey of ages of people taking an exercise class was skewed to the left.
Part C: The box plot represents the data. Calculate the appropriate measure of spread.
Answer choices:
A. IQR= 45
B. IQR= 13
C. Standard deviation = 8
D. Standard deviation=55
Answer:
IQR=13 im pretty sure
Step-by-step explanation:
The measure interquartile range is 13 option (B) IQR= 13 is correct.
What is the box and whisker plot?A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.
We have a box plot, and the data from a survey of ages of people taking an exercise class was skewed to the left.
We know on the left side skewed has more data on the right and on the left side, there are fewer data.
From the dot plot, the end point is not given, so we are assuming the end point is 58.
IQR = 58 - 45 = 13
Thus, the measure interquartile range is 13 option (B) IQR= 13 is correct.
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Students deliver catalogues and leaflet to houses. One day they have to deliver 384 catalogues and 1890 leaflets. Each student can deliver either 16 catalogues or 90 leaflets in hour. Each student can only work for 1 hour. All students hired are paid £51.30 per day, even if they don't work a full day. If the minimum number of wages are hired, how much will the wage bill be
Answer:
£2308.5 per day
Step-by-step explanation:
Since in one day they have to deliver 384 catalogues and 1890 leaflets and each student can deliver either 16 catalogues or 90 leaflets in hour, the amount of students required to deliver 384 catalogues in one hour is 384/16 = 24 students.
Also, the number of students required to deliver 1890 leaflets in one hour is 1890/90 = 21 students.
So the total number of students required to make the delivery is thus 24 + 21 = 45 students. This is the minimum number of students required for the delivery.
Since all students hired are paid £51.30 per day, even if they don't work a full day, so the amount of wage paid for this minimum amount of students is thus minimum amount × wage = 45 × £51.30 per day = £2308.5 per day
Answer:
£307.80
Step-by-step explanation:
Wow seems the verified answer is wrong.
Who would've thought?
16*384=24
90*1890=21
21+24=45
45/8=5.62500
5.625 rounds to 6
51.30*6=£307.80
Thats your working out
You have to divide 45 by 8 because there are 8 hours in a day in which they can work.
Then round the number as you cant have a fraction of a person
Which you would then multiply by 51.30
Brainliest would be appreciated <33
Hope it helps!
40 students where has their favorite shoe color
how many chose blue?
Answer:
8 students
Step-by-step explanation:
There are 20 boxes and there are a total of 40 students interviewed. So, each box is worth 2 students. Since blue has 4 boxes, 4*2 = 8 students chose blue as their favorite shoe color.
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⚡✨
34.607 to the nearest whole number
Angle 3 and angle 5 are What Kind Of Angle
A.Corresponding
B.Same Side
C.Alternate interior
Answer:
The answer of this question is C
help with this question pleaseee !!
4x + y = 1
x + y = 2
rewrite these equations in slope intercept form y=mx+b
y=4x+1
y=x+2
Step-by-step explanation:
very simple you just put the numbers in the correct spot when doing slope intercept form
Calculate each value for ⊙P. Use 3.14 for π and round to the nearest tenth.
please help!! will mark brainliest!!
Answer:
226.19 inches
Step-by-step explanation:
1%
The positions of towns A, B and C are shown in the scale diagram below.
.B
.
A
Scale: 1 cm represents 10 miles
Ismael's house is the same distance
from town A and town B.
His house is exactly 20 miles from town C.
Use the x tool to show all the possible positions of Ismael's house.
You must show all your construction lines.
[5]
There are no possible positions for Ismael's house.
In this case, we need the following geometrical constructions:
1) Given that Ismael's house has the same distance from towns A and B, we must create a line segment between A and B and perpendicular line passing through the midpoint of line segment AB.
2) Since Ismael's house is 20 miles away from town C, we must create a circle centered at C.
All possible positions of Ismael's house are the set of points where both the perpendicular line and the circle intercepts each other. After making all operations defined above, we conclude that there are no possible positions for Ismael's house.
We kindly invite to check this question on line segments: https://brainly.com/question/23297288
Can someone help me find and answer an equation to the following math question : Natalie earns 5% commission on all electronics she sells.On Monday she sold a television for $1130 and a DR that cost $325. What was the total she earned in commission?
Answer:
She will make a total commission of $1130+$325=$1445
Then 5% of $1445= $1445×5%=$72,75
In ΔMNO, the measure of ∠O=90°, the measure of ∠M=13°, and OM = 9.6 feet. Find the length of MN to the nearest tenth of a foot.
Answer: the answer is 9.9
Step-by-step explanation:
What is the area of a rectangle with side lengths 2/5 feet and 4/6 feet?
Answer:
[tex]\frac{4}{15}[/tex] (4/15)
Step-by-step explanation:
[tex]\frac{4}{6}=\frac{2}{3}[/tex]
[tex]\frac{2}{5}*\frac{2}{3};[/tex]
1- Multiply the numerators:
[tex]2*2=4[/tex]
2- Multiply the denominators:
[tex]5*3=15[/tex]
3- Thus:
[tex]\frac{2}{5}*\frac{2}{3}= \frac{4}{15}[/tex]
Hope this helps ;)
2 5/6 divided by 3 1/4 please explain .
Answer:
[tex]\frac{34}{39}[/tex]
Step-by-step explanation:
[tex]2\frac{5}{6}[/tex] can be rewritten as [tex]\frac{17}{6}[/tex]
[tex]3\frac{1}{4}[/tex] can be rewritten as [tex]\frac{13}{4}[/tex]
So now
[tex]\frac{17}{6} / \frac{13}{4}[/tex]
Flip the second fraction and multiply
[tex]\frac{17}{6} * \frac{4}{13} = \frac{68}{78}[/tex]
Now reduce the fraction
[tex]\frac{34}{39}[/tex]
match the answer to the equation
1: no solution
2: infinitely many solutions
3: one solution
1) Evaluate the following expressions.show your work
a) 7(m - 8) for m = -4
Answer:
-84
Step-by-step explanation:
Since m=-4, we can plug -4 into the expression and use PEMDAS
7(m - 8)
7((-4)-8)
7(-12)
-84
490 students and 10 teacher will ride the bus to go to the zoo if each bus can seat so passengers how many buses will be needed many zoo trip
Answer:
If you add teacher plus students which is 490+10=500
you get 500 people in total after that you divide 500 by 50 and you get 10 so you will need 10 busses in total hope this helped!
Step-by-step explanation: