3° and 177°
supplementary angles sum to 180°
let x be an angle then the other angle is 59x
x + 59x = 180
60x = 180 ( divide both sides by 60 )
x = [tex]\frac{180}{60}[/tex] = 3
the angles are 3° and (59 × 3 )= 177°
To find the measures of two supplementary angles where one is fifty-nine times larger than the other, set up an equation x + 59x = 180, and solve for x. The smaller angle is 3 degrees, and the larger angle is 177 degrees.
Explanation:The measure of an angle is fifty-nine times the measure of a supplementary angle. To solve this, we can set up an equation where x is the measure of the smaller angle, and therefore, 59x is the measure of the larger angle. Since angles are supplementary, their sum is 180 degrees. So, our equation is x + 59x = 180. Solving for x, we find that x = 3 degrees and 59x = 177 degrees.
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Which graph represents the solution set of the system of inequalities?
{y≥1/3x−3
{y<−3x−3
The answer would be the choice at the bottom right corner!
I'm positive the answer is correct! :)
What is a correct congruence statement for the triangles shown?
Enter your answer in the box.
△ ______≅△NKW
For this one, look at the symbols inside each angle. In math, the rounded edges inside of angles mean they are congruent. So find which ones have the same amount of rounded edges and that would be your answer.
NKW ≅ UZE
put the corresponding angles in the middle. Since the object you were comparing to had the one line as the middle point, then that is your middle as well.
Hope this helps! Comment with any questions you may have.
Answer:
[tex]\Delta UZE\cong \Delta NKW[/tex]
Step-by-step explanation:
We have been given a graph of two triangles and we are asked to find the correct congruence statement for our given triangles.
We can see in triangle NKW and triangle UZE.
[tex]EZ\cong WK[/tex],
[tex]\angle ZEU\cong \angle KWN[/tex],
[tex]\angle UZE\cong \angle NKW[/tex].
Since two angles and included side of triangle NKW is congruent to two angles and their included side of triangle UZE, therefore, [tex]\Delta UZE\cong \Delta NKW[/tex] by Angle-Side-Angle congruence theorem.
WILL GIVE BRAINLIST. ANSWER ASAP.
Each week, Lucia earns $x working at a store and receives $20 babysitting. To find how much she will earn in total over 4 weeks, Lucia calculates: x + 20 + x + 20 + x + 20 + x + 20
What is another way Lucia can calculate how much she will earn in total over the 4 weeks?
Drag and drop the equivalent expression in the box.
1. 4x + 20
2. x + 20
3. .x + 80
4. 4(x+20)
The Answer would be 4. 4(x+20)
A way to make an approximation to a given number by using fewer digits is called ____.
Answer: It is called "rounding"
Step-by-step explanation: Well you can't really explain this one.
Answer:
Rounding
Step-by-step explanation:
Rounding means to give an approximation of a decimal number. The number may be irrational. Rational numbers have a terminating decimal expansion. When rounding off a number first consider to how many decimals you want to round off the number. Then check the next decimal number if it is 5 or more than 5 then increase the preceding decimal number by 1.
Let us take and example
√2 = 1.41.........
Round to the nearest tenths
√2 = 1.4
Round 1.65 to the nearest tenths
1.7
Bob earns $9 an hour babysitting. One night he earned $47.25 for babysitting. How many hours did he babysit that night?
Is this statement true or false? The Symmetric Property of Equality lets you exchange the expressions on each side of the equals sign.
Find the directional derivative of f(x,y,z)=z3−x2yf(x,y,z)=z3−x2y at the point (−5,5,2)(−5,5,2) in the direction of the vector v=⟨−3,2,−4⟩v=⟨−3,2,−4⟩.
The directional derivative of [tex]\(f(x, y, z) = z^3 - x^2y\) at \((-5, 5, 2)\)[/tex] in the direction of [tex]\(\mathbf{v} = \langle -3, 2, -4 \rangle\) is \(-248\).[/tex]
To find the directional derivative of [tex]\( f(x, y, z) = z^3 - x^2y \)[/tex] at the point [tex]\((x_0, y_0, z_0) = (-5, 5, 2)\)[/tex] in the direction of the vector[tex]\( \mathbf{v} = \langle -3, 2, -4 \rangle \),[/tex] we'll use the formula for the directional derivative:
[tex]\[ D_{\mathbf{v}} f = \nabla f \cdot \mathbf{v} \][/tex]
where [tex]\( \nabla f \)[/tex] is the gradient of f and [tex]\( \cdot \)[/tex] denotes the dot product.
First, let's find the gradient of f :
[tex]\[ \nabla f = \left\langle \frac{\partial f}{\partial x}, \frac{\partial f}{\partial y}, \frac{\partial f}{\partial z} \right\rangle \][/tex]
Taking partial derivatives:
[tex]\[ \frac{\partial f}{\partial x} = -2xy \][/tex]
[tex]\[ \frac{\partial f}{\partial y} = -x^2 \][/tex]
[tex]\[ \frac{\partial f}{\partial z} = 3z^2 \][/tex]
Substituting the given point [tex]\((x_0, y_0, z_0) = (-5, 5, 2)\)[/tex] into these partial derivatives:
[tex]\[ \frac{\partial f}{\partial x} = -2(-5)(5) = 50 \][/tex]
[tex]\[ \frac{\partial f}{\partial y} = -(-5)^2 = -25 \][/tex]
[tex]\[ \frac{\partial f}{\partial z} = 3(2)^2 = 12 \][/tex]
So,[tex]\( \nabla f = \langle 50, -25, 12 \rangle \).[/tex]
Now, let's find the directional derivative using the dot product:
[tex]\[ D_{\mathbf{v}} f = \langle 50, -25, 12 \rangle \cdot \langle -3, 2, -4 \rangle \][/tex]
[tex]\[ D_{\mathbf{v}} f = (50)(-3) + (-25)(2) + (12)(-4) \][/tex]
[tex]\[ D_{\mathbf{v}} f = -150 - 50 - 48 \][/tex]
[tex]\[ D_{\mathbf{v}} f = -248 \][/tex]
Therefore, the directional derivative of f at the point (-5, 5, 2) in the direction of the vector[tex]\( \mathbf{v} = \langle -3, 2, -4 \rangle \) is \( -248 \).[/tex]
The Correct question is:
Find the directional derivative of f(x,y,z)=z^3−x^2y,f(x,y,z)=z3−x2y at the point (−5,5,2),(−5,5,2) in the direction of the vector v=⟨−3,2,−4⟩,v=⟨−3,2,−4⟩.
A photographer is printing a photograph for a client. The ratio of the photograph’s width to its length is 8:10. The client wants a smaller version of the photograph printed, but the ratio of the width to the length needs to stay the same.
If the length of the printed photograph is 5 inches, what should the width be?
3 inches 4 inches 6 inches 7 inches 8 inches
The ratio is 4:5
because 8 divided by 2 is 4
and 10 divided by 2 is 5
so the answer as said before is 4:5
I hope this helps :)
Answer:
Step-by-step explanation:
4 inches
What is -8+5i. NamrvComplex conjugate and compute the product
Please help asap 27 pts
It's answer B since when you plug in -7 into x, the value then becomes absolute value of 2(-7) - 1, which is absolute value of -15, which becomes 15, and plugging 8 into x gives us absolute value of 2(8) - 1, which is absolute value of 15, which is just 15. That divided by 3 makes 5, so that solution is true when plugging those numbers in for x
Please help quick!!!!
What is the lateral area of the cylinder?
A. 515.01 ft.2
B. 615.85 ft.2
C. 622.04 ft.2
D. 625.25 ft.2
Lateral area = circumference of circular end * length
= pi * diameter * length
= 22 * pi * 9
= 198 pi
= 622.04 ft^2 answer Its C
Luiza runs a lawn-mowing business she decides to measure the rate at which the volume of fuel she uses increases with the area of the lawn what can be an appropiate unit for luiza's purpose
Answer:
[tex]\frac{Gallons}{Feet^{2} }[/tex]
Step-by-step explanation:
We have been told that Luiza runs a lawn-mowing business she decides to measure the rate at which the volume of fuel she uses increases with the area of the lawn and we are asked to determine an appropriate unit for Luiza's purpose.
Since we can represent rate of units as [tex]\frac{Dependent Variable}{Independent Variable}[/tex]
We can see that in this case dependent variable is amount of fuel used in lawn-mowing and area of lawn is independent variable.
We know that we can represent volume of fuel as gallons and area of lawn as square feet.
Therefore, appropriate unit for Luiza's purpose is [tex]\frac{Gallons}{Feet^{2} }[/tex].
Answer:
L/KM^2
Step-by-step explanation:
on the highway trip a midsize car traveled 208 miles on 4 gallons of gasoline. which direct variation equation describes the relationship between gallons of gasoline x and distance traveled in miles y
Remark
It is a direct variation.
y = k x
You can solve for k .
y = 208
x = 4
k= ??
y = k * x
208 = k * 4 Divide by 4
208 / 4 = k
k = 52
So the equation becomes
y = 52 x
2.8 x 100 miles high. What is the approximate area of wyoming?
Assuming a regularly shaped rectangle, the formula for the area is given as:
A = L * W
where L and W are the length and width respectively
A = 3.6 x 10^2 miles * 2.8 x 10^2 miles
A = 100,800 square miles
or
A = 10.08 x 10^2 miles
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Julia has 2 identical rooms in her house. If each room measures 8 feet on one side and 12 feet on another, what is the total area of the rooms?
Answer
192 ft²
Explanation
The rooms measures 12 feet by 8 feet. So it is a rectangle.
The area of a rectangle = length × width
= 12 × 8
= 96 ft²
The area of one room is 96 ft². There are 2 similar rooms.
The area of the 2 rooms = 96 × 2
= 192 ft²
What is half of 5 3/4?
7. Lakeisha is designing a rectangular sunroom. She wants the room to be 14 feet wide and have a perimeter that is greater than 108 feet. Select all of the possible lengths of lakeisha’s sunroom. A. 14 feet b. 27 feet c. 40 feet d. 54 feet e. 60 feet
We are required to find all the possible length of lakeisha’s sunroom
The possible length of the rectangle are length greater than 40 which are 54 feet and 60 feet
perimeter of a rectangle = 2(length + width)
perimeter > 108 feet
Width of the sunroom = 14 feet
The inequality:
2(x + 14) > 108
2x + 28 > 108
2x > 108 - 28
2x > 80
divide both sides by 2
x > 80 / 2
x > 40 feet
Therefore, the possible length of the rectangle are length greater than 40 which are 54 feet and 60 feet
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Solve for x: −2(x + 3) = −2(x + 1) − 4. (1 point) a 2 b 3 c All real numbers d No solution
The correct answer would be
C. All Real Numbers
Please help asap 25 pts
The answer would be B because since -8 is negative, you would flip its sign
its d. i know this ive done it before
What is the greatest number that can be written with the digits two, five, eight
[tex]2^{5^{8}}[/tex]
that is a number with more than 100,000 digits
Using each of those numbers as digits of a number then it is 852
However, if we raise each number to a power then 2^(5^8) where
5^8 = 390,625 So, 2^390,625 can be estimated by
multiplying the log of 2 (0.30102999566) by 390,625 which equals
117,589.842054688 So, 117,589 is our exponent and then we need to look up the anti-log of .842054688 which equals 6.9511184318 and our number is 6.9511184318 x 10^117,589
DON'T read my comments. I can't delete them.
What is 9 x 200 in another way? Is it 18 ones, hundreds, tens, of thousands?
Answer: 18 hundreds
Step-by-step explanation:
9 x 200
= 9 x 2 x 100
= 18 x 100
= 1800
aka: 18 hundreds
HURRY HELP ASAP!!!!!!! Which of these measurements is more precise and explain why. Explain the difference between precision and accuracy.
Answer:
the first one (the one with more lines which is the centimeter (cm) one)
Step-by-step explanation:
Precision is when you know the exact measurement like 4.756
Accuracy is when your kind of close to the precise measurement like 4.75
Precision means exact and accuracy means close enough.
A rectangular field is 300 meters long and 250 meters wide. What is the area of the field in square kilometers
The area of the field is obtained by multiplying length by width resulting 75,000 square meters. Converting this to square kilometers by dividing by 1,000,000 gives the area in square kilometers as 0.075 km².
Explanation:To calculate the area of the rectangular field, we multiply the length by the width. Given that the length is 300 meters and the width is 250 meters, the area in square meters would be 300 meters * 250 meters = 75,000 square meters.
Keep in mind that 1 square kilometer (km²) is equivalent to 1,000,000 square meters (m²). So, to convert the area from square meters to square kilometers, we divide the area in square meters by 1,000,000. Therefore, the area of the field in square kilometers is 75,000 m² / 1,000,000 = 0.075 km².
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What is the constant of proportionality to. 2.5x
6. Which is an equivalent form of the equation
2x-y=12
A) y=2x+12
B) y=12-2x
C) y=2x-12
D) y=-12-2x
To find an equivalent form of the equation 2x-y=12, isolate y by moving 2x to the other side and changing the sign of each term.
Explanation:To find an equivalent form of the equation 2x-y=12, we want to isolate y. To do this, we need to get y alone on one side of the equation. Let's start by moving the 2x term to the other side by adding 2x to both sides of the equation, giving us -y=12+2x. Next, we can multiply every term in the equation by -1 to change the sign of each term, resulting in y=-12-2x.
So the equivalent form of the equation 2x-y=12 is y=-12-2x, which is option D.
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If a insect is 0.095 long how long is it if looking through a microscope 100 times how long would the insect be
9.5.....................
please help on this one ?
y [25, 100] is the range of the population of Blue Whales off the coast of Antarctica from months 5 to 10.
Therefore, the correct answer is:
C. y [25, 100]
Here,
To find the range of the population of Blue Whales off the coast of Antarctica from months 5 to 10,
we need to determine the minimum and maximum values of the population during this period based on the graph.
From the graph, we can see that the population values are between approximately 25 and 100 (inclusive) during months 5 to 10.
The square brackets [ ] denote that the endpoints are included in the range.
so, we get,
y [25, 100] is the range of the population of Blue Whales off the coast of Antarctica from months 5 to 10.
Therefore, the correct answer is:
C. y [25, 100]
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-(2)/(5)x-9<(9)/(10)
step by step please <3
[tex]-\dfrac{2}{5}x-9<\dfrac{9}{10}\qquad|\text{multiply both sides by 10}\\\\10\cdot\left(-\dfrac{2}{5}x\right)-10\cdot9<10\cdot\dfrac{9}{10}\\\\2(-2x)-90<9\qquad|\text{add 90 to both sides}\\\\-4x<99\qquad|\text{change the signs}\\\\4x>-99\qquad|\text{divide both sides by 4}\\\\x>-24.75[/tex]
Numerical expression for the difference between 72 and 16
Answer:
72-16
Step-by-step explanation:
Difference is represented by the subtraction of 2 numbers. If we want to represent the difference of 2 numbers, we need to subtract one number from the other number.