Answer:
The solution to the equation is [tex]x = 8[/tex]
Step-by-step explanation:
To solve the equation, first we apply the distributive property on the parenthesis, then we isolate x.
Solution:
[tex]3(10 - x) = 6[/tex]
Applying the distributive:
[tex]3*10 - 3*x = 6[/tex]
[tex]30 - 3x = 6[/tex]
Solving for x
[tex]3x = 30 - 6[/tex]
[tex]3x = 24[/tex]
[tex]x = \frac{24}{3}[/tex]
[tex]x = 8[/tex]
The solution to the equation is [tex]x = 8[/tex]
Find the area of the figure.
Answer:
180 sq.cm
Step-by-step explanation:
A = 10 x 10 + 16 x 5 x 1/2 x 2
A = 100 + 16 x 5
A = 100 + 80
A = 180 square cm
Hope that helps!
please help!!! thank you!!!
uhm... I’m sorry I don’t actually know the answer to your question but I’m trying to get some points...
A ladder is leaning against a vertical wall makes an angle of 50° with
the ground. The foot of the ladder is 5 m from the wall. Find the length of
ladder. Input the numeric answer only, rounded to the nearest tenth. *
Answer:
cos( A ) = adj/hyp
---
cos( 70 ) = 2/hyp
hyp = 2 / cos( 70 )
hyp = 5.85
---
length of ladder is 5.85 meters
---
Solve and graph linear equations:
Step-by-step explanation:
The length of ladder is 7.8 m provided ladder makes an angle 50 degree and it is 5m from wall .
For understanding , check the calculation here
Calculation :A ladder makes an angle of 50° with the ground and the foot of the ladder is 5 m from the wall. It forms a right angle triangle.
Apply trigonometric ratio to find out the length of the ladder
The diagram is attached below .
We are given with the angle and the adjacent side of the triangle .
cos(theta)= adjacent side / hypotenuse
Given angle theta is 50 degree
Adjacent side is 5m .
Let the length of the ladder is x m
[tex]cos(theta)=\frac{adjacent }{hypotenuse } \\cos(50)=\frac{5}{x} \\xcos(50)=5\\[/tex]
Divide both sides by cos(50)
[tex]x=\frac{5}{cos(50)} \\x=7.77861\\x=7.8 m[/tex]
The length of ladder is 7.8 m
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find the gcf of -10c2 and 15 cd
Answer:
5cd
Step-by-step explanation:
2. Graph the following equation: y = - 1/2 x + 4
Answer:
Step-by-step explanation:
y = (-1/2)x + 4 is the equation of a straight line with y-intercept (0, 4) and slope -1/2.
To graph this, first plot the y-intercept (0, 4).
Recall that slope m = rise / run, and notice that the slope in this particular case is -1/2 = rise / run, or rise = -1 and run = 2.
Starting with your pencil point on (0, 4), move the point 2 units to the right (run = 2), arriving at (2, 4). Next, move your pencil point 1 unit down, to (2, 3).
Draw a straight line through (0, 4) and (2, 3).
18% of the cars in the parking lot are blue.If there are 150 cars in the parking lot,how many cars are blue
so 29 is a monomial also
Answer:
yes, 29 is a monomial
Step-by-step explanation:
There are 3 boxes for green chips and 5 boxes for red chips. each box has the same number of chips in it. if there are a total of 16 chips complete the tape diagram showing the number of chips in each box.
Answer:
2 in each box of courseg= green chips r= red chips
3 boxes of green chips meaning for each box there are 2 chips so there are 6 green chips. 5 boxes of red chips meaning for each box there are two chips so there are 10 red chips and 6 g + 10r = 16 chips in total
Step-by-step explanation:
Sumi earns $6.30 in 1/2 hr at her job at the Pet food store. If she works for 60 hours how much will she make in total?
Answer:
$756.00
Step-by-step explanation:
6.30 x 2 = 12.60/hour
12.60 x 60 = $756.00
Use the diagram to complete the statement.
CF =
Answer:
∠ECF = 37°
Step-by-step explanation:
∠ACG = 37° because it is a complementary angle to 53° (37° + 53° = 90°)
∠ECF = 37° because it is a vertical angle to 37°
The angle ∠ECF can be determined as 27°by using the angle sum property of triangle.
What is a triangle?A triangle is a two dimensional shape bound by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.
The given problem can be solved by applying angle sum property of the triangle as,
In ΔECF, the sum of angles is given as,
∠ECF + ∠CFE + ∠CEF = 180 (1)
Since, AB║DE as per the diagram shown.
∠BAC = ∠CEF (Alternate interior angles)
Then, ∠CEF = 53°.
Plug ∠CEF = 53° and ∠CFE = 90° in equation (1) to obtain,
∠ECF = 180 - (53 + 90)
⇒ ∠ECF = 27°
Hence, the measure of the angle ∠ECF is obtained as 27°.
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A bug was running along a number line at a speed of 11 units per minute. It never changed its direction. If at 7:15 it was at the point 100, where could it be at 7:20 pm? The bug will be on the point or at 7:20Pm
Answer:
155 Units
Step-by-step explanation:
Rate of Bug (given) = 11 units PER MINUTE
It never changed direction, so it was going in positive direction (assume).
In 7:15 pm (evening), it was at Point 100,
We want the point at which it was at 7:20 pm.
7:20pm - 7:15pm = 5 minutes
So, time passed 5 minutes. It's rate is 11 units PER MINUTE, so in 5 mins:
11 * 5 = 55 units
Assuming he is going in positive direction, the bug will be at:
100 + 55 = 155 Units
Answer:
It will be at the point 155
Step-by-step explanation:
It will be at point 155 If it keeps running at the same pace and in the same direction.
I know this because if it is at point 100 at 7:15 and it goes 11 units per minute then 5 minutes later at 7:20 it would be at point 155
Solve this system of equations using the
elimination method.
Answer:
4x-3y=-10 ans C
2x+3y=4
Step-by-step explanation:
4x-3y=-10--------eqn 1
2x+3y=4----------eqn 2
multiply eqn 1 by 2 and eqn 2 by 4
8x-6y=-20
8x+12y=16
subtract eqn 2 from 1
8x-8x ,12-(-6y)=16-(-20)
18y=36
divide both sides by 18
y=2
substitute y=2 in eqn 1
4x-3(2)=-10
4x-6=-10
4x=-10 + 6
4x= -4
divide both sides by 4
x= -1
Find the value for ? that makes the equation true. 8 = 40 = ?
Find the area of the region enclosed by the graphs of these equations. (CALCULUS HELP)
Answer:
[tex]\displaystyle A = \frac{20\sqrt{15}}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsGraphingExponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Calculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Area - Integrals
U-Substitution
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Area of a Region Formula: [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
F: y = √(15 - x)
G: y = √(15 - 3x)
H: y = 0
Step 2: Find Bounds of Integration
Solve each equation for the x-value for our bounds of integration.
F
Set y = 0: 0 = √(15 - x)[Equality Property] Square both sides: 0 = 15 - x[Subtraction Property of Equality] Isolate x term: -x = -15[Division Property of Equality] Isolate x: x = 15G
Set y = 0: 0 = √(15 - 3x)[Equality Property] Square both sides: 0 = 15 - 3x[Subtraction Property of Equality] Isolate x term: -3x = -15[Division Property of Equality] Isolate x: x = 5This tells us that our bounds of integration for function F is from 0 to 15 and our bounds of integration for function G is 0 to 5.
We see that we need to subtract function G from function F to get our area of the region (See attachment graph for visual).
Step 3: Find Area of Region
Integration Part 1
Rewrite Area of Region Formula [Integration Property - Subtraction]: [tex]\displaystyle A = \int\limits^b_a {f(x)} \, dx - \int\limits^d_c {g(x)} \, dx[/tex][Integral] Substitute in variables and limits [Area of Region Formula]: [tex]\displaystyle A = \int\limits^{15}_0 {\sqrt{15 - x}} \, dx - \int\limits^5_0 {\sqrt{15 - 3x}} \, dx[/tex][Area] [Integral] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle A = \int\limits^{15}_0 {(15 - x)^{\frac{1}{2}}} \, dx - \int\limits^5_0 {(15 - 3x)^{\frac{1}{2}}} \, dx[/tex]Step 4: Identify Variables
Set variables for u-substitution for both integrals.
Integral 1:
u = 15 - x
du = -dx
Integral 2:
z = 15 - 3x
dz = -3dx
Step 5: Find Area of Region
Integration Part 2
[Area] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle A = -\int\limits^{15}_0 {-(15 - x)^{\frac{1}{2}}} \, dx + \frac{1}{3}\int\limits^5_0 {-3(15 - 3x)^{\frac{1}{2}}} \, dx[/tex][Area] U-Substitution: [tex]\displaystyle A = -\int\limits^0_{15} {u^{\frac{1}{2}}} \, du + \frac{1}{3}\int\limits^0_{15} {z^{\frac{1}{2}}} \, dz[/tex][Area] Reverse Power Rule: [tex]\displaystyle A = -(\frac{2u^{\frac{3}{2}}}{3}) \bigg|\limit^0_{15} + \frac{1}{3}(\frac{2z^{\frac{3}{2}}}{3}) \bigg|\limit^0_{15}[/tex][Area] Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle A = -(-10\sqrt{15}) + \frac{1}{3}(-10\sqrt{15})[/tex][Area] Multiply: [tex]\displaystyle A = 10\sqrt{15} + \frac{-10\sqrt{15}}{3}[/tex][Area] Add: [tex]\displaystyle A = \frac{20\sqrt{15}}{3}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Area Under the Curve - Area of a Region (Integration)
Book: College Calculus 10e
Lewis is constructing triangle RST.
In the picture, what step is he doing now with his protractor?
A. drawing a line segment from point R to point S
B. checking the angle measure of angle T
C. drawing a line from point R through point T
D. checking the length of side ST
Answer:
B. checking the angle measure of T
Step-by-step explanation:
I used process of elimination, A and C are both incorrect because to draw a line you would have the flat side of the protractor along the edge of the line and this is not shown in the image. D is incorrect because to check the length you would need the have a ruler on the flat side and use that or use a separate ruler.
Option B is correct, checking the angle measure of angle T is the step is he doing now with his protractor
What is Mensuration?Measurement is the quantification of attributes of an object or event, which can be used to compare with other objects or events.
Given that Lewis is constructing triangle RST.
A triangle is a three-sided polygon that consists of three edges and three vertices.
drawing a line segment from point R to point S is not correct as we can use straight edge to draw the line.
In the same way drawing a line from point R through point T is also not correct.
checking the length of side ST can be done by straight edge.
As we observe Lewis is using a protractor which is used to measure the angle.
Hence, checking the angle measure of angle T is the step is he doing now with his protractor
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The perimeter of a rectangular backyard is 192 feet. The yard is 43 feet wide. How long is it?
Answer:
53 feet.
Step-by-step explanation:
2(Width)+2(Length)=Perimeter
--> 2(43)+2(Length)=192
--> 86+2(Length)=192
--> 2(Length)=106
Length = 53
868 ÷ 14 = ?? i need help lol
Answer:
**********************868/14=62********************
Step-by-step explanation:
Answer:
+*~868 ÷ 14 = 62~*+
(Hope this helps! Btw, I answered first. Brainliest please! :D)
2 1/4 as a single fraction
Answer:
9/4
Step-by-step explanation:
Answer:
9/4
Step-by-step explanation:
Help pls I’ve tried everything can’t seem to get it
Answer:
260 cm^2
Step-by-step explanation:
Area of parallelogram: bh, so it is 20x13 which is 260cm^2
What would the graph of
Х/4.8 < 1.25 look like?
Answer:
Step-by-step explanation:
x/4.8 < 1.25 Multiply both sides by 4.8
4.8 x / 4.8 < 1.25*4/8
x < 6
What this means is that every every number less than 6 is a solution to this inequality.
Graph 32 (shown below is a red area. The important thing to note is that the boundary at 6 is dotted which means it is not included in the solution.
What you want is more closely related to a number line and sort of looks like this
-----o-----o-----o-----o-----o-----o-----o-----o
-1 0 1 2 3 4 5 6
<===============================o
Explanation
The top line is the actual number line or the graph
o------- is the way it is made.
The second line are the number divisions of the number line
The third line shows which way the inequality goes and that it is open at 6. Open means that you can get close to 6 but you can't touch 6.
E is directly proportional to f.it E is 24 then f is 6 what is E when f is 24
Answer:
E = 96
Step-by-step explanation:
Given the following data;
E = kf .......equation 1.
When E = 24, f = 6
First of all, we would have to find the constant k;
Substituting the values into eqn 1, we have;
24 = k6
k = 24/6
k = 4
To find the value of E, when f = 24
E = kf
Substituting into the equation, we have;
E = 4*24
E = 96
HELP ITS TIMEDDDDDDDDDDDDDDDDD
Answer:
100
Step-by-step explanation:
Find the 9th term of the geometric sequence 8, 32, 128, ...
Answer:
524,288
Step-by-step explanation:
Hope this helps!
What is the missing polynomial -(20-4x-5x2)=20-7x2
Answer:
? – (20 – 4x – 5x2) = 20 – 7x2, so ? = 20 – 7x2 + (20 – 4x – 5x2)
? = 20 – 7x2 + (20 – 4x – 5x2)=20-7x²+20-4x-5x²=40-12x²-4x
the answer is 40-4x-12x^2
Step-by-step explanation:
Answer:
40-4x-12x^2
Step-by-step explanation:
PLEASE HELPPPPPPPP !!!!!!!!!!!!!!1
Answer:
-8.45, 0.95, 8.25
Step-by-step explanation:
The easiest way to do this is to convert the fraction to a decimal, and then compare the values.
8 8/32 is equal to 8 and 1/4. Because 1/4 = 0.25, 8 and 8/32 equals 8.25.
Now, let's compare values.
Numbers we need to compare: -8.45, 0.95, 8.25
The smallest number is -8.45, then 0.95, and lastly, 8.25.
Thus the answer is
-8.45, 0.95, 8.25
help me and thank you
Answer:
15.736
Step-by-step explanation:
Pls help me on this due in 10 mins
Answer:
A, E, G
Step-by-step explanation:
Answer:
A
E
G
Step-by-step explanation:
When you divide A, E, and G with the common factor, they all equal 5 : 9
A public pool wants to rope off a section for children to swim. Three sides will be roped off using the lane line and the fourth will be contained by the pool edge. They have 60 ft of lane line. What is the maximum area they can enclose for children to swim safely?
Answer Choices: 60, 180, 450, 730
USE OPTIMIZATION
PLEASE HELP!
Answer:
180
Step-by-step explanation:
i had that question
I have the first one I just need the second and I’ll give brainliest
Answer: I would say that the hotdogs cost $2 and the burgers cost $4
Step-by-step explanation: By the display of it, it that would be the normal cost of a hotdog and a hamburger
HELPPOPP PLEASEEE!!!!!!!!!!!!
Answer:
$ 100 is saved by paying the total amount at the time of purchase
Step-by-step explanation:
its Originally 800 but You put down 200 leaving it At 600 But 50 time 10 is 500 plus 200 more Because you pay 200 more for the last 4 months So 500 plus 200 is 700 plus the 200 you put down And it would be 900 instead of 800