Answer:
128
Step-by-step explanation:
Sum of interior angles of a 4 sided quadrilateral is 360.
90 + 90 + 52 + x = 360
232 + x = 360
x = 360 - 232
x = 128
Parallelogram FIRE
Given:
[tex]fi = (3x - 5) \: cm[/tex]
[tex]ir = (2y - 7) \: cm[/tex]
[tex]re = (x + 7) \: cm[/tex]
[tex]ef = (y + 3) \: cm[/tex]
a. What is the value of x?
b. How long is FI?
c. What is the value of y?
d. How long is EF?
e. From your answers in b and d, what is the perimeter of parallelogram FIRE?
Answer:
See the solutions below
Step-by-step explanation:
First note that the opposite side of a parallelogram are equal, hence;
For Parallelogram FIRE
fi = re
ef = ir
Given
fi = (3x-5)cm
ir = (2y -7)cm
re = (x+7)cm
ef = (y+3)cm\
a) If fi = re, then;
3x - 5 = x+7
3x - x = 7+5
2x = 12
x = 12/2
x = 6
b) Since FI = 3x - 5
FI = 3(6) - 5
FI = 18 - 5
FI = 13cm
c) Also ef = ir
y+3 = 2y - 7
y - 2y = -7-3
-y = -10
y = 10
d) EF = y+3
EF = 10 +3
EF =13cm
e) Perimeter of the parallelogram = FI + IR + RE + EF
Perimeter of the parallelogram = 13cm + 13 + 13cm + 13cm
Perimeter of the parallelogram = 52cm
HELP ASAP!!!!!!!!!!!!!!1
30% of the scholars are working as stagehands. 35 scholars are actors and actresses. How many students in total are in the school play, acting and working behind the scene?
Answer:
There are 50 students in total in the school play, acting and working behind the scene.
Step-by-step explanation:
Since the statement indicates that 30% of the scholars are working as stagehands, you can subtract this from 100% that represents the total amount of student in the school play to find the percentage that are actors and actresses:
100%-30%=70%
Now, as you know that 70% of the students are actors and actresses and the statement indicates that they are 35, you can use a rule of three to find the amount of students that represent 100%:
70% → 35
100% → x
x=(100*35)/70
x=50
According to this, the answer is that there are 50 students in total in the school play, acting and working behind the scene.
Select the correct answer from each drop-down menu.
A cylinder has a diameter of 10 units,
Its radius is
units. If its height is twice its radius, its height is
✓ units. Its volume is about
cubic units
Reset
Next
Answer:
the volume of the cylinder is 785 units^2
Step-by-step explanation:
The computation of the volume of the cylinder is shown below:
Given that
The diameter is 10 units
So, the radius is half of the diameter i.e. 5 units
The height would be twice of the radius i.e. 10 units
Now the volume of the cylinder is
=πr^2h
r denotes the radius
And h denotes the height
= 3.14 × 5^2 × 10
= 785 units^2
Hence, the volume of the cylinder is 785 units^2
The area of a square photo frame is 144 cm2 . Find the perimeter of the photo fame, leaving your answer correct to 1 decimal place
Answer:
48 cm
Step-by-step explanation:
If it's square and the area is 144, then the sides are each 12cm (a = l x w, 144 = 12 x 12)
12cm x 4 sides = 48cm
Answer:
48
Step-by-step explanation:
The area is 144 cm².
A = s²
144 = s²
[tex]\sqrt{144\\}[/tex] = s
12 = s
photo frame is a square.
perimeter of a square = 4 * s
P = 4 *s
P = 4 (12)
P = 48
Simplify the expression: (in the image attached)
Step-by-step explanation:
Hey there!
[tex]\tt{\dfrac{\dfrac{1}{x^2} + \dfrac{2}{y}}{\dfrac{5}{x} - \dfrac{6}{y^2}}}[/tex]
So, what we can do here is first take the Least Common Multiple here, on both Numerator and Denominator.
[tex]\tt{\dfrac{\dfrac{y + 2y^2 (1)}{x^2 y (2)}}{\dfrac{5y^2 - 6x (3) }{xy^2 (4)}}}[/tex]
[The number in brackets is for the next step :-
When we will further simplify it, we will multiply 1st with 4th and 2nd with 3rd.
[tex]\tt{\dfrac{y + 2y^2 \times xy^2 }{x^2 y \times 5y^2 - 6x }}[/tex]
[tex]\tt{\dfrac{y + 2y^2 \times y }{x \times 5y^2 - 6x }}[/tex] is the framed answer.
Answer:
[tex]\frac{y(y+2x^2)}{x(5y^2-6x}[/tex]
Step-by-step explanation:
Lets do the numerator and denominator seperately:
Numerator:
1/x^2 + 2/y
Find common denominator and add these 2 fractions:
This is x^2y (I just multiplied the 2 denominators together’
Now, do what you have done to x^2 to make it x^2y, ie. multiplied by y, to the 1. This = y
And do what you have done to y to make it x^2y, ie. multiplied by x^2, to the 2. This = [tex]2^{2}[/tex]
Now, arrange all numbers we have found into the correct order in the fraction. This is:
[tex]\frac{y+2x^{2}}{x^{2} y}[/tex]
Denominator:
5/x - 6/y^2
Find the common denominator and subtract these two fractions:
This is xy^2
Now, do what you have done to x to make it xy^2, ie. multiply by y^2, to the 5. This = 5y^2
And do what you have done to the y^2 to make it xy^2, ie. multiply by x, to the 6, this is = 6x
Now, arrange all the numbers we have found into the correct order in the fraction
[tex]\frac{5y^{2}-6x}{xy^2}[/tex]
Now that we have the numerator and the denominator, we can solve the equation.
The original question asks us to divide the 2 fractions, so:
[tex]\frac{y+2x^{2}}{x^{2} y}[/tex] divided by [tex]\frac{5y^{2}-6x}{xy^2}[/tex]
For the division of fractions, you just have to multiply the inverse of the 2nd fraction by the first, so
[tex]\frac{y+2x^{2}}{x^{2} y}[/tex] x [tex]\frac{xy^2}{5y^2-6x}[/tex]
Use cross multiplication to simplify the above expression to:
[tex]\frac{y(y+2x^2)}{x(5y^2-6x}[/tex]
Hope this helps, sorry its long ...
Three corners of a rectangular dog park are located at the following coordinates: (–2, –1), (–2, 3), and (5, 3).
What is the total length of the fencing that is needed to go AROUND the dog park?
Answer:
22 units
Step-by-step explanation:
PLS HELPP!
In the diagram, PQ←→ ∥ RS←→
, and transversal t
intersects both lines.
Select all the true statements.
∡1 ≅ ∡4
because they are vertical angles
∡1 ≅ ∡8
because they are alternate exterior angles
∡1 ≅ ∡5
because they are corresponding angles
∡1 ≅ ∡3
because they are alternate interior angles
how many solutions does the function x^2+2x+2=0
a. 0
b. 1
c. 2
d. 3
Answer:
A. 0
Step-by-step explanation:
use discriminant. discriminant value is negative so 0 solutions
Math help help help asap
Answer:
a) 0.071
b) 0.884
Step-by-step explanation:
a)
7.1 * 10^(2) = 7.1 * 0.01 = 0.071
b)
(6.8 * 10^2) * (1.3 * 10^(-3)) = 6.8 * 1.3 * 10^2 * 10^(-3) = 8.84 * 10^(-1) = 8.84 * 0.1 = 0.884
Answer:
a) 0.071
b) 0.884
Step-by-step explanation:
b) explanation
Group coefficients together and exponents together to multiply numbers in scientific notation.
(6.8 ⋅ 1.3) (10^2 ⋅ 10^−3)
Multiply 6.8 by 1.3
8.84 (10^2 ⋅ 10^−3)
Use the power rule a^m a^n = a^m+n to combine exponents.
8.84 ⋅ 10^2 − 3
Subtract 3 from 2
8.84 ⋅ 10^ − 1
Convert 8.84 ⋅ 10^ − 1
from scientific notation.
0.884
hope this helps :) sorry I didn't include an explanation for a
p.s. i really need brainliest :)
Find the area of the beans I will mark the brainiest answer
Answer:
4x^2 - 12x +9
Step-by-step explanation:
The figure is a square.
the area of a square is = side^2
area = (2x-3)^2 = 4x^2-12x +9
thanks to rule of the square of a binomial, we can skip this passage:
(2x-3)(2x-3) = 4x^2-6x-6x+9 =4x^2-12x +9
Answer:
4x²−12+9
Steps:
2x(2x−3)−3(2x−3)
4x²−6−3(2x−3)
4x²−6x−6x+9
4x²−12x+9
HELP PLEASE!! ILL GIVE BRAINLIEST
A bag contains 10 marbles: 3 are green, 2 are red, and 5 are blue. Brian chooses a marble at random, and without putting it back, chooses another one at
random. What is the probability that both marbles he chooses are red? Write your answer as a fraction in simplest form.
Answer:
1:40
Step-by-step explanation:
because there are two red continuous so double the no. of total marbles.
WILL MARK BRAINLIEST.
Answer:
y is 6 times x for the first set
not proportional for the next
Step-by-step explanation:
A triangle with a 6 centimeter side ams a 8 centimeter side and an included amgle of 40 degrees. What term of triangle would this be?
Answer:
acute
Step-by-step explanation:
What is the square root of 6 - the square root of 12?
Please answer fast!
Answer:
1.01 or 1.0
Step-by-step explanation:
guys i need help with this math question anyone help plzz???
Answer:
Dan made more money last month
Step-by-step explanation:
15/100 10/100 Make into decimal's and Dan's is still higher
Solve for a. -4a - 2a – 7 = 11 a = [?]
Answer:
a = -7/17
Step-by-step explanation:
Add -4a to -2a
This makes -6a. Then you add 6a to the left to cancel it out, but you must also add 6a to the right of the =
Then you have -7 = 17a
Divide 17 from both sides and you have -7/17 = a
Solve for the value of k.
k=6
have an amazing day bye!
Answer:
Hello! k = 6
Step-by-step explanation:
40 + 90 = 130 so our last angle must be 50 sense this will add up to 180 so k = 6 because 7 x 6 = 42 and 42 + 8 = 50 so answer 6
What is the point-slope form
Answer:
Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept). Watch this video to learn more about it and see some examples. Created by Sal Khan.
Step-by-step explanation:
pls give me brainless
A rock is dropped from a height of 100 feet. Calculate the time between when the rock was dropped and when it landed. If we choose "down" as positive and ignore air friction, the function is
Answer: 2.49 s
Step-by-step explanation:
Given
Rock is dropped from a height of [tex]h=100\ ft[/tex]
Using the equation of motion [tex]h=ut+\frac{1}{2}at^2[/tex]
here, [tex]u=0[/tex] (Rock is dropped)
[tex]a=g[/tex]
Putting values
[tex]\Rightarrow 100=0+\dfrac{1}{2}gt^2\\\\\Rightarrow t^2=\dfrac{2h}{g}=\dfrac{2\times 100}{32.2}\\\\\Rightarrow t=\sqrt{6.211}=2.49\ s[/tex]
Completing the square Acellus please help! x^2 + 10x -y + 15 = 0
Thank you!!
Step-by-step explanation:
y-15=x^2+10x
y-15+25=x^2+10x+25
y+10=(x+5)^2
A circle has a radius of 8.25 feet. To the nearest square foot, what is the area of the circle?
Use the on-screen keyboard to type the correct response in the box below.
Answer: 214 ft^2
Step-by-step explanation:
A=πr^2
3.14(8.25)^2
3.14(68.0625)
213.71625
rounded to the nearest square foot: 214
400,000 + 40,000????
Answer:
440,000!!! LOL
Step-by-step explanation:
Answer:
440,000
Step-by-step explanation:
I got 440,000 as an answer because I did
400,000
+40,000
________
440,000
You could work from the ones to the hundred thousandths.
First add the zeros, then work to the thousandths. 0+0=0, 0+0=0,0+0=0,0+0=0,0+4=4, 4+0=4.
Therefore, 400,000+40,000=440,000.
Range the temperature from lowest to highest
For points!!!
Answer:
-5, -3, 9, 11, 15, 22
Step-by-step explanation:
idrk how to explain
the area of a semi circle when the radius is 28cm
A marine biologist randomly selected and placed radio tracking devices on 50 dolphins swimming in the Gulf of Mexico in 2020. He released the dolphins back into the population. A year later he caught 200 dolphins and found that 20 of them had tracking devices on them. What is the best estimate of the population of dolphins swimming in the Gulf of Mexico?
Answer:
Step-by-step explanation:
"The capture-recapture of individually distinctive signature whistles has not been attempted before," says the paper's senior author Dr Tess Gridley, Co-Director of Sea Search and the Namibian Dolphin Project and a postdoctoral fellow in the Department of Botany and Zoology at SU. "The dolphins use these sounds throughout life and each has its own unique whistle. Therefore, by recording signature whistles over time and in different places we can calculate where animals are moving to and how many animals there are in a population."
Working with Dr Simon Elwen of Stellenbosch University, the Namibian Dolphin Project has been researching Namibia's resident bottlenose dolphins for the past 12 years, and built up a catalogue of more than 55 signature whistles dating back to 2009.
This particular study was led by Emma Longden, who began the project during her BSc (Hons) Marine Biology degree at the University of Plymouth. As an undergraduate, Emma completed an internship with the Namibia Dolphin Project for a month in 2016, and returned again in 2018 to complete work on the mark-recapture project.
She analysed more than 4000 hours of acoustic data from four hydrophones positioned along the coast south and north of Walvis Bay, Namibia, during the first six months of 2016.
All in all, they identified 204 acoustic encounters, 50 of which contained signature whistle types. From these encounters, 53 signature whistle types were identified; 40 were in an existing catalogue developed in 2014 for the Walvis Bay bottlenose dolphin population, and 13 were newly identified. Of the 53 signature whistle types identified, 43% were captured only once, whereas the majority (57%) were recaptured twice or more.
"One of the great things about bioacoustics is that you can leave a hydrophone in the water for weeks at a time and collect so much data without interfering with the lives of the animals you are studying," says Emma, whose work on the project was also supervised by Dr Clare Embling, Associate Professor of Marine Ecology at the University of Plymouth.
Dr Embling added: "This work is incredibly important as it allows us to track and count the number of dolphins in small vulnerable populations. It builds on our previous research looking at the impacts of noise on marine organisms and monitoring vulnerable marine mammal populations. It also showcases the fantastic level of research that our marine biology students are able to achieve, and the opportunities available to them through our partnerships with conservation organisations such as the Namibia Dolphin Project and the Ocean Giants Trust."
Future research includes the work undertaken by PhD student Sasha Dines from Stellenbosch University to further refine the technique to better understand the population of endangered humpback dolphins in South Africa. Another PhD student, Jack Fearey from the University of Cape Town, is continuing to conduct research along the Namibian Coast.
Somebody help me out real fast
use the formula c=d and = to find the diameter of this circle whose circumference equals 172.7cm
Answer:
55cm
Step-by-step explanation:
Please help and explain thanks
A. EAD
B. DAC
C. BCA
D. CAE
Answer: EAD
Explanation: The angle mark is in between the points E, A, and D.