Answers
make sure your calculator is in Degree mode.
tan(55°) = 5/(FE)
FE = 5/tan(55°)
FE = 3.5
Related Questions
Chapter 5 lesson 5.1 2nd grade
Answers
Answer:
What is the question?yea
Step-by-step explanation:
Which of the following is the graph of y=-4√x
Answers
Answer:
Please see the attachment for graph.
Step-by-step explanation:
We are a given a equation and need to graph it.
It is square root function. We make table of x and y and then plot the points on graph and join the points.
We will take some random values of x and then find the value of y corresponding to the value of x.
For x=1, Put x=1 into equation
[tex]y=-4\sqrt{1}=-4[/tex]
For x=4, Put x=4 into equation
[tex]y=-4\sqrt{4}=-8[/tex]
For x=9, Put x=9 into equation
[tex]y=-4\sqrt{9}=-12[/tex]
Table of x and y
x y
1 -4
4 -8
9 -12
Now we plot the points on graph and join the points.
Please see the attachment for graph.
There is a sales tax of $14 on an item that costs $147before tax. A second item costs$84 before tax. What is the sales tax on the second item?
Answers
To calculate the sales tax on the second item, we determined the sales tax rate from the first item and applied it to the second item's cost, resulting in $7.99 sales tax on the second item.
Explanation:To find the sales tax on the second item, we use the information provided about the first item to determine the rate of sales tax and then apply this rate to the second item. If the first item costs $147 with a sales tax of $14, we can find the sales tax rate by dividing the sales tax by the cost of the item before tax:
Sales tax rate = Sales tax / Price before tax
= $14 / $147
= 0.0952 or 9.52%
Once we have the sales tax rate, we can calculate the sales tax on the second item, which costs $84 before tax:
Amount of sales tax = Price × Rate of sales tax
= $84 × 0.0952
= $7.99 (rounded to the nearest cent)
Therefore, the sales tax on the second item is $7.99.
Which linear inequality is represented by the graph?
y < 3x + 2
y > 3x + 2
y < x + 2
y > x + 2
Answers
Answer: The graph is represented by the inequality y>3x+2
Step-by-step explanation:
Linear inequality is like linear equation just we have inequality signs (<,>,≤,≥) instead of equal sign(=).
In the given question we have the linear inequality represented by graph
We can see the line in the graph passing through the point (-3,-7)
Let's check which option satisfy the point
1) y<3x+2 for this the line should be y=3x+2
⇒ -7=3(-3)+2
⇒-7= -9+2⇒-7=-7,which is true.
2) y>3x+2 which similar as first.
3) y<x+2 for this the line should be y=x+2
⇒ -7= -3+2
⇒-7=-1 which is not true.
4) y > x + 2 is similar to third.
Option 3) and 4) cannot be the required linear inequality.
Now from 1) and 2) , 2) should be the required linear inequality as the graph is shaded above the line and that must be for y (>) greater than inequality. [ for y (<) less than inequality the graph must be shaded below the line]
Therefore, 2) y > 3x + 2 is the required linear inequality which is represented by the graph.
The linear equality represented by the graph is [tex]\boxed{{\mathbf{y>3x+2}}}[/tex] and it matches with [tex]\boxed{{\mathbf{OPTION B}}}[/tex] .
Further explanation:
It is given that a line passes through points [tex]\left({0,2}\right)[/tex] and [tex]\left({-3,-7}\right)[/tex] as shown below in Figure 1.
The slope of a line passes through points [tex]\left({{x_1},{y_1}}\right)[/tex] and [tex]\left( {{x_2},{y_2}}\right)[/tex]is calculated as follows:
[tex]m=\frac{{{y_2}-{y_1}}}{{{x_2}-{x_1}}}[/tex] ........(1)
Here, the slope of a line is denoted as [tex]m[/tex] and points are [tex]\left({{x_1},{y_1}}\right)[/tex] and [tex]\left({{x_2},{y_2}}\right)[/tex].
Substitute [tex]0[/tex] for [tex]{x_1}[/tex] , [tex]2[/tex] for [tex]{y_1}[/tex] , [tex]-3[/tex] for [tex]{x_2}[/tex] and [tex]-7[/tex] for [tex]{y_2}[/tex] in equation (1) to obtain the slope of a line that passes through points [tex]\left({0,2}\right)[/tex] and [tex]\left({-3,-7}\right)[/tex] .
[tex]\begin{aligned}m&=\frac{{-7-2}}{{-3-0}}\\&=\frac{{-9}}{{-3}}\\&=3\\\end{aligned}[/tex]
Therefore, the slope is [tex]3[/tex] .
The point-slope form of the equation of a line with slope [tex]m[/tex] passes through point [tex]\left({{x_1},{y_1}}\right)[/tex] is represented as follows:
[tex]y-{y_1}=m\left({x-{x_1}}\right)[/tex] .......(2)
Substitute [tex]0[/tex] for [tex]{x_1}[/tex] , [tex]2[/tex] for [tex]{y_1}[/tex] and [tex]3[/tex] for [tex]m[/tex] in equation (2) to obtain the equation of line.
[tex]\begin{aligned}y-2&=3\left({x-0}\right)\\y-2&=3x\\y&=3x+2\\\end{aligned}[/tex]
Therefore, the value of [tex]y[/tex] is [tex]3x+2[/tex] .
Since the shaded part in Figure 1 is above the equation of line [tex]y=3x+2[/tex], therefore, greater than sign is used instead of is equal to.
Thus, the linear inequality is [tex]y>3x+2[/tex] as shown below in Figure 2.
Now, the four options are given below.
[tex]\begin{aligned}{\text{OPTION A}}\to &y<3x+2\hfill\\{\text{OPTION B}}\to &y>3x+2\hfill\\{\text{OPTION C}}\to &y<x+2\hfill\\{\text{OPTION D}}\to &y>x+2\hfill\\\end{aligned}[/tex]
Since OPTION B matches the obtained equation that is [tex]y>3x+2[/tex] .
Thus, the linear equality represented by the graph is [tex]\boxed{{\mathbf{y>3x+2}}}[/tex] and it matches with [tex]\boxed{{\mathbf{OPTION B}}}[/tex].
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2. What is the value of [tex]x[/tex] in the equation [tex]x-y=30[/tex] when [tex]y=15[/tex] ? https://brainly.com/question/3965451
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Answer Details:
Grade: Junior High School
Subject: Mathematics
Chapter: Coordinate Geometry
Keywords: Coordinate Geometry, linear equation, system of linear equations in two variables, variables, mathematics, inequality
Please help me figure how to explain ??
Answers
On the other hand, the law of sines states that for the triangle below it is true that:
[tex]\frac{a}{sinA}= \frac{b}{sinB}= \frac{c}{sinC}[/tex]
According to the problem we will explain three cases that result in zero, one or two triangles while applying SSA. Let's solve this problem with examples.
First. Case zero solution (No solution)
Suppose that:
[tex]b=8 \\ c=9 \\ B=75^{\circ}[/tex]
So let's start by finding angle C. According to the law of sines:
[tex]\frac{c}{sinC}= \frac{b}{sinB} \\ \\ \therefore \frac{9}{sinC}= \frac{8}{sin75^{\circ}} \\ \\ \therefore sinC= \frac{9sin75^{\circ}}{8} \\ \\ \therefore C=sin^{-1}(1.086)[/tex]
If you try to take the arcsin of a number that's larger than one it is not going to work. Therefore there is no solution in this case.
Second. Case one solution
Suppose that:
[tex]b=10 \\ c=9 \\ B=42^{\circ}[/tex]
Then according to the law of sines:
[tex]\frac{b}{sinB}= \frac{c}{sinC} \\ \\ \therefore \frac{10}{sin42^{\circ}}= \frac{9}{sinC} \\ \\ \therefore sinC= \frac{9sin42^{\circ}}{10}=0.602 \\ \\ \therefore C=sin^{-1}(0.602)=37.01^{\circ} \ or \ C=180^{\circ}-37.01^{\circ}=142.99^{\circ}[/tex]
But we know that:
[tex]A+B+C=180^{\circ} \\ \\ If \ C=37.01^{\circ} \ then: \\ A=180^{\circ}-42^{\circ}-37.01^{\circ}=79.01^{\circ} \\ It's \ a \ solution \\ \\ If \ C=142.99^{\circ} \ then: \\ A=180^{\circ}-42^{\circ}-142.99^{\circ}=-4.99^{\circ} \\ It's \ not \ a \ solution[/tex]
Therefore we have one solution
Third. Two solutions.
Suppose that:
[tex]B=30^{\circ} \\ b=7 \\ c=8[/tex]
So:
[tex]\frac{b}{sinB}= \frac{c}{sinC} \\ \\ \therefore \frac{7}{sin30^{\circ}}=\frac{8}{sinC} \\ \\ \therefore sinC=\frac{8sin30^{\circ}}{7}=\frac{4}{7} \\ \\ \therefore C=sin^{-1}(\frac{4}{7})=34.85^{\circ} \ or \ C=180^{\circ}-34.85^{\circ}=145.15^{\circ} \\ \\ Thus: \\ \\ If \ C=34.85^{\circ} \ then:\\ A=180^{\circ}-30^{\circ}-34.85^{\circ}=115.15^{\circ} \\ It's \ a \ solution \\ \\ If \ C=145.15^{\circ} \ then:\\ A=180^{\circ}-30^{\circ}-145.15^{\circ}=4.85^{\circ} \\ It's \ a \ solution[/tex]
Therefore there are two solutions.
Conclusion: For triangles to make sense the shortest side must be across the lowest angle and the longest side must be across the largest angle.
A geometric sequence is defined recursively by an = 4an-1 . The first term of the sequence is 0.5. Which of the following is the explicit formula for the nth term of the sequence?
A. 0.5 4n-1
B. 0.5 4n
C. 4 0.5n
D. 4 0.5n-1
E. 0.5 4n+1
Answers
10 ÷ (20 ÷ 2² × 5 ÷ 5) × 8 - 2
Answers
P arenthesis
E xponents
M ultiplication
D ivision
A dd
S ubstract
Paranthesis and Exponents
(20 / 2^2 * 5 / 5) = 5
Multiplication
5*8= 40
Division
10 / 40 = 0.25
Subtraction
0.25 - 2 = −1.75
Therefore,
The answer is -1.75
Noah makes ceramic pots for the market. On the weekends he makes 11 more pots than he does during the week. Noah represented the number of pots he makes on weekends using the expression p + 11. Which expression represents the total mumber of pots Noah made one weekend if he made 14 more than his usual number?
Answers
We have then:
Original function:
f (p) = p + 11.
New function:
g (p) = f (p) +14
Substituting we have:
g (p) = (p + 11) +14
g (p) = p + 25
Answer:
An expression that represents the total mumber of pots Noah made one weekend if he made 14 more than his usual number is:
g (p) = p + 25
When expressed in exponential notation, the number 0.000302 becomes:?
Answers
...............
the formula below changes degrees Fahrenhiet to degrees Celsius 5/9(F-32). what is the temperature in degrees Celsius, for -4 Fahrenheit?
Answers
.. C = (5/9)*(-4-32) = (5/9)(-36) = -20
-4 °F corresponds to -20 °C.
Find the slope of the line that contains the points named. A(3, 2), B(7, 8)
Answers
[tex]slope= \frac{ y_{1} - y_{2} }{ x_{1} - x_{2} } [/tex]
Plug in the data we know.
[tex]slope= \frac{ y_{1} - y_{2} }{ x_{1} - x_{2} } = \frac{2-8}{3-7} = \frac{-6}{-4}= \frac{6}{4} = 1.5 [/tex]
Answer:
3/2
Step-by-step explanation:
To find the slope of the line that contains the points A(3, 2) and B(7, 8), we can use the formula for slope:
slope = (change in y) / (change in x)
Let's calculate the values:
Change in y = 8 - 2 = 6
Change in x = 7 - 3 = 4
Now, we can find the slope:
slope = 6 / 4 = 3/2
Therefore, the slope of the line that contains the points A(3, 2) and B(7, 8) is 3/2.
ABCD is a rhombus. If m<1=122, then what is the measure of <2 and <3
Answers
< 3 is opposite < 1 so it will be = 122 degrees
Answer step by step
1.Avas school took a field trip. A total of 32 vehicles were needed for the trip.Some students took the bus, and some students car-pooled. There are 27 people on each bus and 3 people on each car. 408 people altogether attended the trip. How many buses and cars were needed for the trip?
Answers
1. suppose, that number of cars is 'x', numbers of buses is 'y'.
2. according to the condition 'a total of 32', it means that x+y=32. This is the 1st equation.
3. according to the condition in one car are 3x persons, in one bus are 27y persons, and totaly 3x+27y=408 people. This is the 2d equation.
4. if to solve the system of two equations:
[tex] \left \{ {{x+y=32} \atop {3x+27y=408}} \right. \ =\ \textgreater \ \ \left \{ {{x=19 (cars)} \atop {y=13(buses)}} \right. [/tex]
Answer: 13 - b., 19 - c.
You are cutting a rectangular piece of fabric in half along the diagonal. The fabric meaures 28 inches wide and 1/4 yards long. What is the length (in inches) of the diagonal
Answers
A trapezoid has an area of 150 square meters. If the bases are 14 meters, what is the height of the trapezoid?
Answers
Given the format D=ABC, what is the format for C?
Answers
D = ABC
D(/AB) = ABC(/AB)
D/AB = C
C = D/AB is your answer
hope this helps
If 30 cents out of every 1 dollar goes to taxes and the rest is net income, what's the ratio of taxes to net income? A. 3 : 10 B. 30 : 1 C. 3 : 7 D. 30 : 7
Answers
If 30 cents out of every 1 dollar go to taxes, the remaining 70 cents is the net income. Therefore, the ratio of taxes to net income is 3:7.
Explanation:The question asks for the ratio of taxes to net income if 30 cents out of every 1 dollar go to taxes. This question is asking for a mathematical comparison between the amount of money that goes to taxes and the remaining amount of money, which is the net income.
If 30 cents go to taxes out of 1 dollar, that means 70 cents (or $0.70) is the net income because 1 dollar minus 30 cents equals 70 cents. To arrive at the ratio, we compare the amount that goes into taxes to the net income. This would be 0.30 (taxes) to 0.70 (net income).
When we express this as a ratio in simplest form, we do not usually use decimals. Instead, we can convert the decimal into a whole number. Think of the 0.30 and the 0.70 as 30 and 70. The greatest common divisor of 30 and 70 is 10. If we divide both numbers by 10, we get 3 and 7. So, the ratio of taxes to net income is 3:7. Thus, the correct option is C. 3 : 7.
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Lionel is buying a computer that notmally sells for $890. The state sales tax rate is 6%. What isvthe total cost ofvthe computer including sales tax?
Answers
total price = $943.40
[08.06 MC]
Factor completely 4x3 + 8x2 − 25x − 50. (2 points)
(4x2 − 25)(x + 2)
(2x − 2)(2x + 2)(x + 5)
(2x − 5)(2x + 5)(x + 2)
(2x − 5)(2x + 5)(x − 2)
Answers
Steps
(4x^3 + 8x^2) + (-25x - 30)
Factor out 4x^2 from 4x^3 + 8x^2: 4x^2(x + 2)
Factor out -25 from -25x - 50: -25(x + 2)
= 4x^2(x + 2) - 25(x + 2)
Then, factor out common term (x + 2)
= (x + 2)(4x^2 - 25)
Factor 4x^2 - 25: (2x + 5)(2x - 5)
= (x + 2)(2x + 5)(2x - 5)
Which the answer to this is the 3rd option.
Answer: THE 3RDDDDDDDDDDDDDDDDDDDDD
A video rental store charges $4 to rent a movie and $3 to rent a video game. During one summer, Tony paid a total of $140 to rent movies and video games from this store. If he rented 7 more video games than movies, how much did he spend on movie rentals during the summer?
Answers
4x + 3(x+7) = 140
↓
4x + 3x + 21 = 140
↓
7x + 21 = 140
↓
7x=119
↓
x=17
So the number of movie rentals would be 17 and you multiply it by 4 and you will get 68.
The answer is A. $68
the answer is 68
if you like at the other persons answer, they explain
but all i know is that its 68
thxs: to the person that answered this question first
20 is 25% of what number
Answers
If 20 is 25% of a number,
we know that it is a quarter of a number.
20*4= 80
20 is 25% of 80.
I hope this helps!
~kaikers
20 is 25% of 80. so the number is 80.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
We need to find 20 is 25% of what number
Let x be the number which we have to find.
Convert 25% to decimal number.
25/100=0.25
Now multiply 0.25 with x which results 20
0.25x=20
Divide both sides by 0.25
x=20/0.25
x=80
Hence, 20 is 25% of 80. So 80 is the required number.
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The decimal .087 can be written as A) 8.7 10 B) 87 10,000 C) 87 1,000 D) 87 100
Answers
Answer:
it's c
Step-by-step explanation:
because for .087 you move the decimal 3 times
so the decimal is going to end up 08.7
here
We can write 0.87 as 87 / 100.
Option D is the correct answer
Given,
0.087
We have to see the other form it can be written.
What are decimal numbers?The numbers which have a decimal point.
Example: 23.4
It can be written in fractions aswell.
23.4 = 234/10
We have,
0.87
Since there are two numbers after the decimal point we can write it as:
= 0.87
= 087 / 100
= 87 / 100
Thus we can write 0.87 as 87 / 100.
Option D is the correct answer.
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compare the first factor to the value of the product I did A B C but I don't understand D the question ANSWER FAST PLZ
Answers
The first factor with the value of the product is compared as below.
What are Factors?Factors of a number or an algebraic expression are the numbers or expressions which divides the given number evenly.
For example, 10 = 2 × 5
So we can say that 2 and 5 are factors of 10.
Here there are 3 products.
(a) [tex]\frac{1}{3}[/tex] × 1
Here the first factor is [tex]\frac{1}{3}[/tex].
And the product of the two factors is [tex]\frac{3}{9}[/tex].
[tex]\frac{3}{9}[/tex] = [tex]\frac{1}{3}[/tex] × [tex]\frac{3}{3}[/tex]
Numerator and denominator when take three times gives the product.
(b) First factor is [tex]\frac{2}{3}[/tex] and the product is [tex]\frac{14}{21}[/tex].
[tex]\frac{14}{21}[/tex] = [tex]\frac{2}{3}[/tex] × [tex]\frac{7}{7}[/tex]
Numerator and denominator when multiplied by 7 times gives the [tex]\frac{14}{21}[/tex].
(c) First factor is [tex]\frac{5}{2}[/tex] and the product is [tex]\frac{25}{10}[/tex].
[tex]\frac{25}{10}[/tex] = [tex]\frac{5}{2}[/tex] × [tex]\frac{5}{5}[/tex]
Numerator and denominator when multiplied by 5 gives [tex]\frac{25}{10}[/tex].
Hence the first factor and products are compared.
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Tomas bought 3 software apps and 2 e-books for a total of $21. The two e-books cost $12. If s represents the cost of each app, the total cost of all 5 items is represented by mc021-1.jpg. Which statement about verifying the solution for s is true?
Answers
[tex]21-12=9[/tex]
The cost of the three apps is $9 then.
Since s is the price of the apps, we deduce the equation:
[tex]3s=9[/tex] which means that [tex]s=3[/tex]
Answer:
s=3
Step-by-step explanation:
catrina used 25 square green tiles to form a square in the middle of her floor.How many rows did she make?How many tiles did she put in each row?
Answers
Final answer:
Catrina used 25 tiles to create a square, which means she made 5 rows with 5 tiles in each row, as the square root of 25 is 5.
Explanation:
Catrina used 25 square green tiles to form a square in the middle of her floor.
To find out how many rows she made and how many tiles she put in each row, we need to think about the properties of a square.
A square has equal sides, so the number of tiles in each row must be the same as the number of rows. Since the total number of tiles is a perfect square (25), we find the square root of 25 to determine the size of each side of the square.
The square root of 25 is 5, so Catrina created 5 rows with 5 tiles in each row. This forms a perfectly square area on her floor with green tiles.
A midsegment of a triangle measures 40 m. What is the length of the corresponding base of the triangle? A. 20 m B. 40 m C. 60 m D. 80 m
Answers
80
m.
Explanation:
A mid-segment of a triangle is a segment connecting the midpoints of two sides of a triangle.
27POINTS A parallelogram has an area of 14 cm 2. If the dimensions of the parallelogram are doubled, what will the new area be?
A.14 cm 2
B.28 cm 2
C.56 cm 2
D.112 cm 2
Answers
Answer:
.56 (C)
Step-by-step explanation:
Concentric circles are circles with the same A) area B) center C) diameter D) radius
Answers
The answer is B
They all have a same CENTER.
ALL HAVE A DIFFERENT RADIUS, Hence all will obviously have a different
DIAMETER
AREA
HOPE IT HELPS!!!!!!
If PQR~STU, what is the scale factor of PQR to STU? QR=20 and TU=4.
i have 2mins left. help!!!
Answers
we know that
If PQR~STU
then
scale factor of [PQR/ STU]=(QR/TU)=(PQ/ST)=(PR/SU)
QR=20
TU=4
(QR/TU)=20/4=5/1
the answer is (5/1)
Please help me out ?
Answers
Let a and b be two sides of a triangle and c is the longest side:
[tex] a^{2} + b^{2} \ \textless \ c^{2} [/tex]
So taking your given:
[tex] 10^{2} + 15 ^{2} [/tex] < [tex] c^{2} [/tex]
100 + 225 < [tex] c^{2} [/tex]
325 < [tex] c^{2} [/tex]
To get the smallest possible number, just get the square root of both sides:
[tex] \sqrt{325} [/tex] < [tex] \sqrt{c^{2} } [/tex]
18.03 < c
So your smallest possible whole number is 19