Answers
Answer:
152 in^2
Step-by-step explanation:
If you take the left side and consider it a whole rectangle, you can calculate the area of that triangle to be 80. Using the same method, you can find the area of the rectangle of the right to be 72. Then add them together.
80 + 72 = 152 in^2
Answer:
It should be D
Step-by-step explanation:
I think it’s D since that’s what I got
Related Questions
If csc ( x ) = 4, for 90 ∘ < x < 180, then sin ( x /2 ) = ? cos ( x /2 ) = ? tan ( x/ 2 ) = ?
Answers
Answer:
see below
Step-by-step explanation:
cscx=4
sinx=1/4
cosx=-√(1-sin^2x)=-√(1-(1/16))=-√(15/16)=-√15/4
note: cos<0,sin>0 in quadrant II
sin(x/2)= [tex]\sqrt{\frac{1+cos(x)}{2} } =\sqrt\frac{1+\sqrt{\frac{15}{4} } }{2} =\sqrt{\frac{4+\sqrt{15} }{8} }[/tex]
cos(x/2)= [tex]\sqrt{\frac{1-cos(x)}{2} } =\sqrt{\frac{1-\sqrt{\frac{15}{4} } }{2} } =\sqrt{\frac{4-\sqrt{15} }{8} }[/tex]
tan(x/2)= [tex]\frac{sin(x)}{1-cos(x)} =\frac{\frac{1}{4} }{(1-\frac{\sqrt{15} }{4} )} =\frac{\frac{1}{4} }{\frac{4-\sqrt{15} }{4} } =\frac{1}{4-\sqrt{15} }[/tex]
Calculator check:
[tex]sinx=\frac{1}{4}[/tex]
[tex]x\neq 165.52[/tex]˚ in quadrant II
[tex]\frac{x}{2} \neq 82.76[/tex] ˚
sin(x/2)≈sin(82.76)≈0.9920..
exact value=√(4+√15)/8≈0.9920..
..
cos(x/2)≈cos(82.76)≈0.1260..
exact value=√(4-√15)/8≈0.1260..
..
tan(x/2)=tan(82.76)≈7.872..
exact value=1/(4-√15)≈7.872..
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answers
Answer:
here
Step-by-step explanation:
if you need more explanation comment on this
Anybody know the slope of the line is … Help
Answers
Answer: The slope is -1
Step-by-step explanation:
When you are given a line on a graph all you need to do is pick two points on the line and calculate the change over both the x and y-axis.
Pick both points to be at a position on the line that is easy to read. IE the intersection between two grid lines. For this problem lets go with the first point at (0,1) and the second point at (1,0).
Now we want to calculate the change in rise (the y-component) and divide by the change in the run (the x-component). Point 1 has a y-component of 1 and point 2 has a y-component of 0.
1 - 0 = 1 = rise
Point 1 has an x-component of 0 and point 2 has an x-component of 1.
0 - 1 = -1 = run
rise/run = 1/-1
Slope = -1
Please help now, I will give Brainliest!!! :D
Peter is 19 years old. He lives at home with his parents and goes to college part time. He recently started working as a server, working 40 hours per week.
Where Peter lives, the minimum wage for tipped and non tipped employees is $7.25 per hour.
In the average week, he serves 90 tables whose typical bill is $21 with an average tip of 15%.
How much money does he make in a typical week??
Answers
Answer:
$573.50 per week
Step-by-step explanation:
wages = 40 hr/wk * 7.25 $/hr $290 per week
tips 90 tables * ( 21*.15) = 283.50
total 290 + 283.5 = 573.50
37+6x-33-7x
i need help i cant find the answer
Answers
Answer:
By simplifiying the expression we get
−x+4
Answer:
-x+4
Step-by-step explanation:
Subtract: 37-33
Combine like terms: 6x-7
Rearrange terms: -x+4
" Laurent Series "
Expand:
[tex] f(z) = \frac{ {e}^{ {z}^{2} } }{ {z}^{3} } [/tex]
Answers
Recall that for all [tex]z\in\Bbb C[/tex],
[tex]\displaystyle e^z = \sum_{n=0}^\infty \frac{z^n}{n!}[/tex]
Then
[tex]\displaystyle \frac{e^{z^2}}{z^3} = \frac1{z^3} \sum_{n=0}^\infty \frac{z^{2n}}{n!} = \boxed{\sum_{n=0}^\infty \frac{z^{2n-3}}{n!}}[/tex]
solve the following inequality
4x+15≥x+6
Answers
Answer:
[tex]\boxed{\sf{x\geq -3}}[/tex]Step-by-step explanation:
The following inequality can be solved by separating the term x from one side.
4x+15≥x+6
First, subtract by 15 from both sides.
4x+15-15≥x+6-15
Solve.
4x≥x-9
Then, you subtract by x from both sides.
4x-x≥x-9-x
Solve.
3x≥-9
Divide by 3 from both sides.
3x/3≥-9/3
Solve.
Divide the numbers from left to right.
-9/3=-3
[tex]\Longrightarrow: \boxed{\sf{x\geq -3}}[/tex]
Therefore, the correct answer is x≥-3.I hope this helps, let me know if you have any questions.
Answer:
x ≥ -3
Step-by-step explanation:
To determine the solution to the inequality, we need to isolate the variable and its coefficient on one side of the equation. Furthermore, isolate the variable by dividing the coefficient by both sides of the equation. The inequality obtained after doing these steps is the solution to the inequality.
Given inequality:
4x + 15 ≥ x + 6As said above, let's isolate "x" and it's coefficient on one side of the equation. This can be done by subtracting "x + 15" to both sides of the equation.
⇒ 4x + 15 - (x + 15) ≥ x + 6 - (x + 15)⇒ 4x + 15 - x - 15 ≥ x + 6 - x - 15⇒ 3x ≥ -9As said above, let's further isolate "x" by dividing the coefficient of "x" to both sides of the equation.
⇒ 3x/3 ≥ -9/3⇒ x ≥ -3Therefore, the solution is x ≥ -3.
A can in the shape of a cylinder is filled 75% of the way with liquid. The can has a height of 10 cm and a radius of 2 cm. Please determine following:
Answers
Answer:
um..is this finished question ????
Course challenge
You might need: Calculator
Figure A is a scale image of figure B.
Figure A
Figure B
16
Figure A maps to figure B with a scale factor of 4/9
What is the value of X?
Answers
Answer:
x=36
Divide the corresponding side (16) by 4/7
Answer:
x=36
Divide the corresponding side (16) by 4/7
Step-by-step explanation:
x=16×9/4=36
In a line of boys,Peter is the 11th from either side of the line. how many boys are in the line 5pionts because its simple
Answers
Answer: 21
Step-by-step explanation:
Write an equation in slope-intercept form of the line shown.
An equation is
Answers
Using the slope intercept formula, the equation for the line in slope intercept form is y = -x - 4
Slope intercept equationThe slope intercept equation can be describe as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore,
(-4, 0)(1, -5)
m = -5 - 0 / 1 + 4 = -5 / 5 = -1
Therefore, let's find b using (1, -5)
-5 = -1(1) + b
-5 = -1 + b
b = -5 + 1
b = -4
Therefore, the equation is y = -x - 4
learn more on slope intercept equation here: https://brainly.com/question/21010520
What is the solution to the inequality |2x – 3| > 5?
Answers
Answer:
x > 4 or x < -1
Step-by-step explanation:
[tex]2x - 3 > 5[/tex]
[tex]2x > 8[/tex]
[tex]x > 4[/tex]
[tex]2x - 3 < - 5[/tex]
[tex]2x < - 2[/tex]
[tex]x < - 1[/tex]
Suppose that y is inversely proportional to the 4th power of x, and that y=16 when x=6. What is y when x=3? Round your answer to two decimal places if necessary.
Answers
Answer:
y = 1
Step-by-step explanation:
Given
y ∝ x⁴⇒ y = kx⁴
Finding the proportionality constant, k
y = 16 and x = 316 = k (6)⁴16 = 1296kk = 16/1296k = 1/81Finding y
y = 1/81 x (3)⁴y = 1/81 x (81)y = 1Refer to attachment for question
Answers
Answer:
Below!
Step-by-step explanation:
Let the irrational number be known as "x".
[tex]\implies -\sqrt{41} \times x = 1[/tex]
Divide both sides by -√41.
[tex]\implies \dfrac{(-\sqrt{41} \times x)}{-\sqrt{41} } = \dfrac{1}{\sqrt{-41} }[/tex]
[tex]\implies x = \dfrac{1}{-\sqrt{41} }[/tex]
Take the "-" to the numerator:
[tex]\implies x = \dfrac{-1}{\sqrt{41} }[/tex]
Use parenthesis to isolate the "-"
[tex]\implies x = -\huge\text{(}\dfrac{1}{\sqrt{41} } \huge\text{)}[/tex]
Note: 1 can also be written as √1. (√1 = √1 × √1 = 1)
[tex]\implies {x = -\huge\text{(}\dfrac{\sqrt{1}}{\sqrt{41} }\huge\text{)}}[/tex]
Combine the roots in the equation:
[tex]\implies {x = -\huge\text{(}\sqrt{\dfrac{1}{41} }} \huge\text{)}}[/tex]
Remove the parenthesis:
[tex]\implies {x = -\sqrt{\dfrac{1}{41} }}[/tex]
Thus, Option C is correct.
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answers
Answer:
24:37
Simplify the ratio by dividing by the GCF, in this case, two.
[tex]\frac{48 / 2}{74 / 2} = \frac{24}{37}~also~known~as~24:37[/tex]
3.2] I can rearrange formulas to solve for a specified variable.
Solve for r.
h=r-m
Answers
Answer:
r = h + m
Step-by-step explanation:
h = r - m
Switch sides.
r - m = h
Add m to both sides.
r - m + m = h + m
Simplify the left side. -m + m = 0
r = h + m
A sequence can be generated by using
an=an-1-5 where
a1 = 100 and n is a whole number greater
than 1.
(a) What are the first five terms in the sequence?
(b) Write an iterative rule for the sequence. Show your work
Answers
a) The first five terms in the sequence is 100, 95, 90, 85 and 80
b) The nth term of the sequence will be 100 + (n - 1)(5) = 5n + 95
Iterative rule for a sequenceSequences are set of values arranged in a particular order. Given the recursive formula for a sequence expressed as;
an=an-1-5
If the first term a1 = 100, then;
a2 = a1 - 5
a2 = 100 - 5
a2 = 95
For the third term
a3= a2 - 5
a3= 95 - 5
a3 = 90
The other two terms will be 85 and 80
a) The first five terms in the sequence is 100, 95, 90, 85 and 80
b) The nth term of the sequence will be 100 + (n - 1)(5) = 5n + 95
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Forces with magnitudes of 2000 newtons and 900 newtons act on a machine part at angles of +45degrees and -60degrees respectively, with the right side of the x-axis. Find the direction and magnitude of the resultant of these forces.
Answers
Answer:
First,you need to find the components of each force.
what is the median of 7,3,4,7,5,6,5,5,4
Answers
Your median is 5 because that is the number that is mentioned the most.
A median is a number that i said the most.
And in the pic your median is 7.
Hope this helps you :0
2/4×5/2
please answer fast
Answers
Answer: 10/8 = 1 1/4
Step-by-step explanation:
2x5 =10
4x2 =8
10/8= 1 2/8 = 1 1/4
Keith is the owner of a cafe. He bought 28.6 pounds of apples for making pies. Apples cost$1.75 per pound. He also bought a can of chocolate syrup for $27.75. What was the amount that Keith spent?
Answers
Answer:
$77.514
Step-by-step explanation:
28.6 x 1.74 + 27.75 = 77.514
What type of function is shown below?
y=6/19x
Answers
Answer:
That is a linear function
Step-by-step explanation:
A linear function is a function which forms a straight line in a graph. It is generally a polynomial function whose degree is utmost 1 or 0.
If you try to graph that function on a graphing calculator, you will get a straight line.
Therefore, it is a linear function.
mark brainliest please!
Answer:
I think it's a linear one(function)
y=6x÷19
Find the maximum rate of change of the function f (x, y) = x^2y^2 + xy −10 at the
point (1, 1), and the direction in which it occurs.
Answers
Answer:
The maximum rate of change of the given function is equal to 3√2.
The direction at which the vector points is given by the unit vector [tex]\displaystyle \frac{\sqrt{2}}{2} \hat{\i} + \frac{\sqrt{2}}{2} \hat{\j}[/tex].
General Formulas and Concepts:
Pre-Calculus
Vectors
Unit Vector:[tex]\displaystyle \frac{\overline{v}}{|\overline{v}|}[/tex]
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Addition/Subtraction]:
[tex]\displaystyle (u + v)' = u' + v'[/tex]
Derivative Rule [Basic Power Rule]:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Multivariable Calculus
Partial Derivatives
Gradient:
[tex]\displaystyle \nabla f(x, y, z) = \frac{\partial f}{\partial x} \hat{\i} + \frac{\partial f}{\partial y} \hat{\j} + \frac{\partial f}{\partial z} \hat{\text{k}}[/tex]
Gradient Property [Addition/Subtraction]:
[tex]\displaystyle \nabla \big[ f(x) + g(x) \big] = \nabla f(x) + \nabla g(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyle f(x, y) = x^2y^2 + xy - 10[/tex]
[tex]\displaystyle \text{Point} \ (1, 1)[/tex]
Step 2: Find Maximum Rate of Change
[Function] Take gradient:[tex]\displaystyle \nabla f(x, y) = \frac{\partial}{\partial x} \bigg[ x^2y^2 + xy - 10 \bigg] \hat{\i} + \frac{\partial}{\partial y} \bigg[ x^2y^2 + xy - 10 \bigg] \hat{\j}[/tex][Gradient] Rewrite [Gradient Property - Addition/Subtraction]:
[tex]\displaystyle \nabla f(x, y) = \bigg[ \frac{\partial}{\partial x} x^2y^2 + \frac{\partial}{\partial x} xy - \frac{\partial}{\partial x} 10 \bigg] \hat{\i} + \bigg[ \frac{\partial}{\partial y} x^2y^2 + \frac{\partial}{\partial y} xy - \frac{\partial}{\partial y} 10 \bigg] \hat{\j}[/tex][Gradient] Differentiate [Derivative Rule - Basic Power Rule]:
[tex]\displaystyle \nabla f(x, y) = \bigg( 2xy^2 + y \bigg) \hat{\i} + \bigg( 2yx^2 + x \bigg) \hat{\j}[/tex][Gradient] Substitute in point:
[tex]\displaystyle \nabla f(1, 1) = 3 \hat{\i} + 3 \hat{\j}[/tex][Gradient] Take magnitude:
[tex]\displaystyle \bigg| \nabla f(1, 1) \bigg| = \boxed{3 \sqrt{2}}[/tex]
∴ the maximum rate of change of the given function f(x, y) is equal to 3√2.
Step 3: Find Direction
[Gradient] Convert to unit vector:[tex]\displaystyle \text{Direction} = \boxed{ \frac{\sqrt{2}}{2} \hat{\i} + \frac{\sqrt{2}}{2} \hat{\j} }[/tex]
∴ we have found the direction of the gradient.
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Learn more about multivariable calculus: https://brainly.com/question/2407209
---
Topic: Multivariable Calculus
Unit: Directional Derivatives
A 9 ft. ladder leans against the side of a house. The bottom of the ladder is 6 ft. from the side of the house. How high is the top of the ladder from the ground? If necessary, round your answer to the nearest tenth.
Answers
Answer:
15 ft
Step-by-step explanation:
I'm not sure but I think u add them together to get ur answer
hope it helps
How do I find the mean of these numbers
Answers
Answer:
add all of them together (x and y’s) the divide the sum by the amt of numbers
Step-by-step explanation:
Answer:
1. 0
2. -2.5
3. 5
4. -2.5
5. -4
Step-by-step explanation:
Did this by adding the scores together and then dividing by the number of scores added
what digit 5 sits in this number 725,069
Answers
Answer:
The digit 5 is equal to is 5,000 :)
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
The thousandth digit!
Step-by-step explanation:
If the area of the rectangle is twenty-four-and-thirty-two-hundredths square inches, what’s the measurement of the width?
Answers
Answer:
Can't answer this without knowing the height of the rectangle ...
Step-by-step explanation:
Answer: 3.2
Step-by-step explanation: Trust me, I got it right.
Consider the equation v+4+v=8. What is the resulting equation after the first step in the solution?
0v+4=8-v
Ov+4=8
04+v=8-v
O2v + 4 = 8
Answers
You must combine like terms v + v = 2v
Therefore, the answer is 2v+4=8
The resulting equation after the first step in the solution is:
2v + 4 = 8.
What is Equation?An equation is a mathematical statement that asserts the equality between two expressions. It typically contains one or more variables and may involve mathematical operations such as addition, subtraction, multiplication, division, or exponentiation.
we have the Equation v + 4 + v =8
Now, simplifying we get
2v + 4= 8
2v = 4
v =2
To obtain this equation, we combined the like terms "v" on the left side of the equation, which gives us 2v. The rest of the equation remains unchanged.
Therefore, the correct answer is : 2v + 4 = 8.
Learn more about Equation here:
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#SPJ7
Need Answer Please And thank you
Answers
Answer:
157.78
Step-by-step explanation:
Area of a trapezoid = ( sum of base lengths / 2 ) × height
the base lengths of the trapezoid shown are 8.7m and 16.3 + 7.2 = 23.5m
the height is 9.8m
so area = (( 8.7 + 23.5 ) / 2) × 9.8
==> add 8.7 and 23.5
area = (32.2 / 2) × 9.8
==> divide 32.2 by 2
area = 16.1 × 9.8
==> multiply 16.1 and 9.8
area = 157.78
Determine the period
Answers
Answer: 8
just guessed it