Given rectangle EFGH below, EI = 35. If FH = 2z+8, solve for z.
Answer:
N
65
Ex
Submit Answer
Answers
By using the properties of rectangle, it can be calculated that-
Value of z is 31°
What is a rectangle?
Rectangle is a four sided two dimensional figure which satisfies the properties of a parallelogram and whose every angle is 90°
FH = 2z + 8
EG = 2z + 8 [Diagonals of a rectangle are equal]
EI = 35
EG = \(35 \times 2 = 70\) [Diagonals of rectangle bisect each other]
So,
2z + 8 = 70
2z = 70 - 8
2z = 62
z = \(\frac{62}{2}\)
z = 31
Value of z is 31°
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Related Questions
Jacob needs 48 ounces of tomatoes for the spaghetti sauce. He is choosing between two brands of tomatoes. Find the unit rate for each brand. Round to the nearest cent (hundredth).
Brand A costs
per ounce.
Brand B costs
per ounce.
Answers
Answer:
Brand A Costs 37.38 per ounce and Brand B cost 31.19 per ounce hope this helped ^-^
what is the anwser pls help
Answers
Answer:
b. 0.09
Step-by-step explanation:
0.09 is the only one smaller than 0.59
0.59>0.09
Answer:Its D
Step-by-step explanation:
The graph shows the relationship between time and the distance a train travels.
What is the slope of the line?
?
Distance (mi)
200
150
100
50
0
ہے
Time (h)
3
Answers
Answer:
50
Step-by-step explanation:
i got it correct on the iready quiz
The graph of the line does not change except only in the y - intercept. The slope of the line remains same.
What is the general equation of the straight line? What is a mathematical function, equation and expression?straight line equation : The general equation of a straight line is -y = mx + c
[m] : slope of line.
[c] : y - intercept
function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is a graph that shows the relationship between time and the distance a train travels.
From the graph, we can write the coordinates as -
(1, 60) and (2, 120)
So, we can write the slope of the line as -
m = (120 - 60)/(2 - 1)
m = 60/1
m = 60
Therefore, the slope of the line given in the graph will be 60 miles/hr.
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pls help....I give 100 if you actually answer it tysm
Answers
Answer:
3p-q-2
Step-by-step explanation:
Since all three sides add up to 6p+2q-5
p-3+2p+3q+x=6p+2q-5
3p+3q-3+x=6p-2q-5
x=3p-q-2
Answer:
3p-q-2
Step-by-step explanation:
6p+2q-5 = Perimeter
6p+2q-5= (p-3) + (2p+3q) + ?
Subtract (p-3) from both sides:
(6p+2q-5) -(p-3) = (2p+3q) + ?
Subtract (2p+3q) from both sides:
(6p+2q-5) -(p-3) -(2p+3q) = ?
Simplify:
6p+2q-5-p+3-2p-3q
3p-q-2
Therfore the missing length is 3p-q-2 in simplest expression form.
The 5-lb collar slides on the smooth rod, so that when it is at A it has a speed of 10 ft/s. A) if the spring to which it is at- tached has an unstretched length of 3 ft and a stiffness of k-= 10 lb/ etermine the normal force on the collar at this instant. B)Determine the acceleration of the collar at this instant.
Answers
The acceleration of the collar at point A is 5 ft/s^2.
A) To determine the normal force on the collar at point A, we need to consider the forces acting on the collar. The only force acting on the collar in the vertical direction is the weight of the collar (5 lb), which is balanced by the normal force exerted by the rod. Therefore, we can write:
N - 5 = 0
where N is the normal force. Solving for N, we get:
N = 5 lb
B) To determine the acceleration of the collar at point A, we need to use Newton's second law, which states that the net force acting on an object is equal to its mass times its acceleration. The net force on the collar is given by the force exerted by the spring, which is equal to the spring constant times the displacement of the collar from its unstretched length. At point A, the displacement of the collar is:
x = L - y = 3 - 0 = 3 ft
where L is the length of the rod and y is the position of the collar on the rod. Therefore, the force exerted by the spring is:
F = kx = 10 lb/ft × 3 ft = 30 lb
The weight of the collar is:
W = mg = 5 lb
where g is the acceleration due to gravity. The net force on the collar is therefore:
Fnet = F - W = 30 - 5 = 25 lb
Using Newton's second law, we can write:
Fnet = ma
where a is the acceleration of the collar. Solving for a, we get:
a = Fnet / m = 25 lb / 5 lb = 5 ft/s^2
Therefore, the acceleration of the collar at point A is 5 ft/s^2.
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What is the answer pleaseee
Answers
Answer: 803.84cm3
Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.
To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.
4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.
Now, we have the area of the circle. 50.24cm squared!
The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,
16cm x 50.24cm squared = 803.84cm cubed.
The volume of the can of soup is 803.84cm cubed.
Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for the constant of integration.) xe7x dx; u
Answers
Answer:
\(\displaystyle \int {xe^{7x}} \, dx = \frac{e^{7x}}{7} \bigg( x - \frac{1}{7} \bigg) + C\)
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: \(\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)\)
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Integration
IntegralsIntegration Property [Multiplied Constant]: \(\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx\)
U-Substitution
Integration by Parts: \(\displaystyle \int {u} \, dv = uv - \int {v} \, du\)
[IBP] LIPET: Logs, inverses, Polynomials, Exponentials, TrigStep-by-step explanation:
Step 1: Define
Identify
\(\displaystyle \int {xe^{7x}} \, dx\)
Step 2: Integrate Pt. 1
Identify variables for integration by parts using LIPET.
Set u: \(\displaystyle u = x\)[u] Basic Power Rule: \(\displaystyle du = dx\)Set dv: \(\displaystyle dv = e^{7x} \ dx\)[dv] Exponential Integration [U-Substitution]: \(\displaystyle v = \frac{e^{7x}}{7}\)Step 3: integrate Pt. 2
[Integral] Integration by Parts: \(\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \int {\frac{e^{7x}}{7}} \, dx\)[Integral] Rewrite [Integration Property - Multiplied Constant]: \(\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{1}{7} \int {e^{7x}} \, dx\)Step 4: Integrate Pt. 3
Identify variables for u-substitution.
Set u: \(\displaystyle u = 7x\)[u] Basic Power Rule [Derivative Property - Multiplied Constant]: \(\displaystyle du = 7 \ dx\)Step 5: Integrate Pt. 4
[Integral] Rewrite [Integration Property - Multiplied Constant]: \(\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{1}{49} \int {7e^{7x}} \, dx\)[Integral] U-Substitution: \(\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{1}{49} \int {e^u} \, dx\)[Integral] Exponential Integration: \(\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{e^u}{49} + C\)[u] Back-Substitute: \(\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{e^{7x}}{49} + C\)Factor: \(\displaystyle \int {xe^{7x}} \, dx = \frac{e^{7x}}{7} \bigg( x - \frac{1}{7} \bigg) + C\)Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
What is the answer to this equation 9x-7 = - 7
Answers
Answer:
I think the answer is -56
Step-by-step explanation:
sorry if wrong
Answer:
\(\boxed {x=0}\)
Step-by-step explanation:
\(9x-7 = - 7\)
\(\boxed {\sf Add \:7 \:to \:both\: sides}\)
\(9x-7+7=-7+7\)\(9x=0\)\(\boxed {\sf Divide \:both\: sides\: by\: 9}\)
\(\cfrac{9x}{9}=\cfrac{0}{9}\)\(x=0\)_____________________
The function f is defined by f(x)=50⋅3x. The function g is defined by g(x)=a⋅bx. The graphs of f and g are given below. How does a, from function g(x) compare to 50 from function f(x)?
Answers
So, the function f is defined as:
\(f(x)=50(3)^x\)And the function g has the form:
\(g(x)=a(b)^x\)Given that the graphs of f and g are:
We could compare the value of "a" from function g(x) to 50 from function f(x) as follows:
Notice that when x=0:
\(\begin{gathered} f(0)=50\cdot(3^0)=50 \\ g(0)=a\cdot(b^0)=a \end{gathered}\)As you can see from the graph, the function g is greater than the function f at the point x=0, so, comparing a with 50, we could affirm that:
\(a>50\)
3x+4y=15+6y solve for y (PLZ HURRY)
Answers
Answer:
Subtract 4y from both sides of the equation.
What kind of angle is shown?
Answers
Hope this helps!! <3
HEEEEEEEEEEEEEEELLLLLLLLLLLPPPPPPPPPPPPPPP
Answers
Answer:
To tell if it is proportional, you have to see if they increase by the same amount each time. It is not the first one.
It is the second one.
It is the third one
It is not the 4th one
it is the 5th one
Step-by-step explanation:
What is the rate of change for the linear relationship modeled in the table? (4 points)
x y
-1 10
1 9
3 8
5 7
negative one over two
0
one over two
2
Answers
Answer:
-1/2
Step-by-step explanation:
In a linear relationship, the rate of change of one variable with respect to the other is constant. When we talk about change, we're looking for a difference of values.
If we look at the first and second rows, the change in x is 1 - (-1) = 2, while the change in y is 9 - 10 = -1. Usually we refer to these changes as Δx and Δy (read like "delta-x" and "delta-y"), and the rate of change is the number we get by dividing one of these by the other.
The rate of change we're used to seeing, sometimes called the slope, is Δy/Δx. So, using the values we've already found:
\(\Delta{x}=2\\\Delta{y}=-1\\\Delta{y}/\Delta{x}=-1/2\)
Answer:1/2
Step-by-step explanation:
Because the other guy said so and they seem smart so...yeah I would pick that one.
i am confused can someone help me
Answers
The shape is a depiction of how the diagonals of a rectangle have the same length and bisect each other.
How to prove that rectangle diagonals bisect each other ?In a rectangle, the diagonals are perpendicular bisectors of each other, which means that they intersect each other at their midpoints and divide each other into two equal parts. Moreover, since a rectangle has congruent opposite sides, the two diagonals are also congruent to each other.
We can see this with the diagonals, EG and DF as they bisect each other and intercept at the halfway point of H.
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The question is:
How does the figure prove the following statement:
The diagonals of a rectangle have the same length and bisect each other.
The scatterplot of the data below models what type of correlation?
Answers
Answer:
asdfasdfasdf
Step-by-step explanation:
asdf
There are two bags of apples. The first bag has 3 red apples and 4 green apples. The second bag has 13 red apples and 15 green
apples. Mary wants one apple of each color. She will randomly choose two apples from a bag.
Which bag should Mary choose the apples from to have a better probability of picking an apple of each color?
Drag and drop the word and percents into the boxes to correctly complete the sentence.
bag, because the probability of randomly selecting a both a red and a green apple from the
Mary should choose the
and the second bag is about
first bag is about
Answers
Answer:
e, event of getting a green apple
p(e) = no. of green apples/total no. of apples
= 4/(4+3)=4/7
4/7 is probability of getting a green Apple
Step-by-step explanation:
hope this helps
lynn is tracking the progress of her plants growth. today the plant is 5 cm high. the plant grows 1.5 cm per day. suppose Lynn's plant grewn to a height of 30.5 inches how many days will have passed
Answers
We have that the plant start with 5 cm high and it grows 1.5 cm per day, then the equation to model this situation is:
\(y=1.5x+5\)where x represents the days that passes and y represents the height of the plant.
Now, let's convert 30.5 inches to cm:
\(\begin{gathered} 1in=2.54\operatorname{cm} \\ \Rightarrow(30.5)\cdot(2.54)=77.47\operatorname{cm} \end{gathered}\)then, suppose that Lynn's plant grew to a height of 77.47 cm, then we have to make y = 77.47 and solve for x to get the following:
\(\begin{gathered} y=77.47 \\ \Rightarrow77.47=1.5x+5 \\ \Rightarrow77.47-5=1.5x \\ \Rightarrow72.47=1.5x \\ \Rightarrow x=\frac{72.47}{1.5}=48.3 \\ x=48.3 \end{gathered}\)therefore, it will take approximately 48 days to the plant to grow to a height of 30.5 inches
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
Answers
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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What P:X equals 4 let q:y equals -2 which represents if x = 4 then y = -2
Answers are as followed
A. p V q
B. p V q
C. p -> q
D. p q
Answers
Answer:
p - > q is a = 4 then y = 3 equals
Plzzzz somone help me
Answers
Answer:
If it's choose all that apply then it's right and complementary.
Step-by-step explanation:
The little square in the corner tells you that angle is a right angle.
A complementary angle is, two angle measurements that add up to 90°. In this case since the whole figure is a right angle, a.k.a 90°, that's why the smaller angles would be complementary.
I hope this makes sense, and is correct :)
Solve ×^2-4×-5=?
Your Genius If You Answered This Correctly
Answers
Answer:
(x+1)(x-5)
Step-by-step explanation:
c) I use the 4 triangles to make a trapezium. What is the area of the trapezium?
Answers
Answer:
1/2=10
Step-by-step explanation:
it depends upon the area of the triwngle
How many times larger is (1.064 x 101) than (7 x 10−1)?
0.152
15.2
6.58
7.448
Answers
How many times larger is (1.064 x 10^1) than (7 x 10^−1)
the answer is 15.2
Step-by-step explanation:
1.064 x 10^1 = 106.40 and 7 x 10^−1 = 0.7 and 106.40 is 15200% of 0.7
Answer:
is 15.2
Step-by-step explanation:
2. In the formula I = P x r x t, what does r stand for? a. Rate: the percent that interest is paid annually as a decimal b. Ratio: the size of the interest interval compared to time c. Return: how much money you end up earning d. Reserves: how much money you have in the investment
Answers
Answer:
I will answer this soon I don't remember
Answer:
A. Rate: the percent that interest is paid annually as a decimal
Step-by-step explanation:
Edge 2022 got the answer right :)
$$Find the mode.8, 13, 8,3,7Mode:YХx✓f(x) VX X(x) [x = > TT
Answers
The mode is defined as the most repeated value in a data set.
You have the following data:
8, 13, 8, 3, 7
As you can observe, 8 is two times in the data, the rest of the numbers only appears once.
Then, the mode is 8.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
In order to convert yard units to feet units, you use the following conversion factor:
3 feet = 1 yard
You have the number 945 yd. To conver this number in yards to feets you proceed as follow:
945 yd (3 ft / 1 yd) = 2835 ft
That is, you multipled 945 by 3 ft and divided by 1 yd
Mr Malone purchase five packages of notebooks for his class to use each packages contains six notebooks how many notebooks does Mr Malone purchase in total
Answers
Answer:
30
Step-by-step explanation:
5x6=30
The population of a rural city follows the exponential growth model P(t)=3400^0.0371t where t is the number of years after 1986 . a) Use this model to approximate the population in 2030.
Answers
After answering the presented question, we can conclude that expressions Therefore, the population of the rural city in 2030 is approximately 11,014.18.
what is expression ?In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the expression 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +.
To approximate the population in 2030, we need to find the value of P(t) when t = 44, since 2030 is 44 years after 1986.
Using the given exponential growth model, we have:
\(P(t) = 3400^(0.0371t)\\P(44) = 3400^(0.0371*44)\\P(44) = 3400^1.6334\\P(44) = 11014.18\\\)
Therefore, the population of the rural city in 2030 is approximately 11,014.18.
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b) On one rectangular coordinate system, show approximate radian values for one circle, as
well as the degree values for every 1/8 of one circle. (2 pts.)
Answers
Answer:
(See explanation below for further details)
Step-by-step explanation:
Any point in rectangular form can be described in terms of radius and angle of the circle. That is:
\(P = (r\cdot \cos \theta, r\cdot \sin \theta)\)
Since circunference is divided into 8 equal parts, the point can be modelled as:
\(P = (r\cdot \cos \frac{2\pi\cdot n}{8}, r \cdot \sin \frac{2\pi\cdot n}{8} )\)
The approximate radian and degree values for one circle are:
Radians
\(0 (0), \frac{\pi}{4} (0.785), \frac{\pi}{2} (1.571), \frac{3\pi}{4} (2.355), \pi (3.142), \frac{5\pi}{4} (3.925), \frac{3\pi}{2} (4.71), \frac{7\pi}{4} (5.495), 2\pi (6.280)\)
Degrees
\(0^{\circ}, 45^{\circ}, 90^{\circ}, 135^{\circ}, 180^{\circ}, 225^{\circ}, 270^{\circ}, 315^{\circ}, 360^{\circ}\)
Help me pls in math to solve these thank u
Answers
Y = mx + b
Y = 3x + 2
17.
Y = mx + b
Y = 1/2 x - 1
Step-by-step explanation:
y = mx + b
m = 3
b = 2
y = 3x + 2
______________________
y = mx + b
m = 1/2
b = -1
y = 1/2x + (-1)
y = 1/2x -1
Can someone help please
Answers
Answer:
24sq.ft
Step-by-step explanation:
Area of a parallelogram = Base*HeightHere,
→Base = 6ft, Height = 4ft
→ 6*4ft
→24sq.ft
While writing area of a figure, we have to express the area in sq which means square ThankYouPlease mark me as brainliest