Hello people ~
The diagonals of a rhombus are 16 cm and 12 cm, in length. The side of rhombus in length is:
(a) 20 cm
(b) 8 cm
(c) 10 cm
(d) 9 cm
Answers
Answer:
(c) [tex]\displaystyle 10\:cm.[/tex]
Step-by-step explanation:
Split each diagonal in half and use the Pythagorean Theorem:
[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 8^2 + 6^2 = c^2 \hookrightarrow 64 + 36 = c^2 \hookrightarrow \sqrt{100} = \sqrt{c^2} \\ \\ \boxed{10 = c}[/tex]
I am joyous to assist you at any time.
Diagonals of a rhombus are perpendicular to each other .
Perpendicular=P=16/2=8Base=B=12/2=6We need Side
Hypotenuse=HUse Pythagorean theorem
[tex]\\ \rm\rightarrowtail H^2=P^2+B^2[/tex]
[tex]\\ \rm\rightarrowtail H^2=6^2+8^2[/tex]
[tex]\\ \rm\rightarrowtail H^2=10^2[/tex]
[tex]\\ \rm\rightarrowtail H=10cm[/tex]
Related Questions
Work out the value of x
2x
7x
this is a Co-intirior angle
Answers
Step-by-step explanation:
The sum of co-interior angle = 180°
Now,
2x + 7x = 180°
9x = 180°
x = 180° ÷ 9
x = 20°
Answer:
x = 20
Step-by-step explanation:
Co-interior angles (also called same-side interior angles) are two angles that are on the same side of the transversal and on the interior of (between) the two parallel lines.
Same-side interior angles theorem: If two parallel lines are cut by a transversal, then the same side interior angles are supplementary (add up to 180º).
Therefore, if 2x and 7x are co-interior:
⇒ 2x + 7x = 180
⇒ 9x = 180
⇒ x = 20
which shape is a trapeziod with only 1 pair of parallel sides
Answers
Answer: A Quadrilateral is a trapeziod with only 1 pair of parallel sides.
Hope this helps!
Answer:
The trapezoid itself, including quadrilaterals.
Trapezoids have 1 pair of parallel sides. See picture below.
George bought a 3-pound bag of potatoes and a 32-ounce bag of carrots. How many pounds of vegetables did George buy?
A) 3 pounds
B) 5 pounds
C) 6 pounds
D) 8 pounds
Answers
Answer:
5
Step-by-step explanation:
1 pound = 16 ounces
32/16 = 2
2 + 3 = 5
So therefore he bought 5 pounds of vegetables.
Using the side-splitter theorem, which segment length would complete the proportion? startfraction g h over h e endfraction = startfraction question mark over j f endfraction gf jh gj ef
Answers
The ratio of gh over he is equal to the ratio of gj over jf. Then the correct option is C.
What is the triangle?Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
We know that the side-splitter theorem states that two triangles are similar if their corresponding angle is equal and the ratio of the corresponding will be the same.
[tex]\rm \dfrac{gh}{he} = \dfrac{gj}{jh}[/tex]
More about the triangle link is given below.
https://brainly.com/question/25813512
Answer:
Answer C. GJ
Step-by-step explanation:
got it right on 2023 edge
image below ill give branliest
Answers
Answer:
E= -4,5
F=3,-2
Step-by-step explanation:
i think that's correct sorry if not
HELP What is the surface area of the square pyramid?
Answers
Step-by-step explanation:
AnswerA = a²+2aUnderoute of a²by 4+ha) a = base edge
b) h = height
pls vote me as a branliestEvaluate f(2) for the function f(x)=5(x-3)+17
Answers
Hello!
Plug in the value of x:
f(x)=5(x-3)+17
f of x is 5 times the difference of x and 3 plus 17
plug in 2:
f of 2 is 5 times the difference of 2 and 3 plus 17
f(2)=5(2-3)+17
f(2)=5(-1)+17
f(2)=-5+17
f(2)=12
[tex]\huge\boxed{\mathfrak{Answer:{\boxed{\rm{f(2)=12\star\star}}}}}[/tex]
Hope everything's clear.
Let me know if you have any questions!
#LearningDoesn'tEnd
#KeepOnLearning
[tex]\boxed{An~Emotional~Helper!} :-)[/tex]
How can data displays be used to compare two sets of data? Select all that apply. They quickly illustrate measures of center. They quickly illustrate measures of center. They identify all the data points in each data set. They identify all the data points in each data set. They show trends in data that can be compared. They show trends in data that can be compared. They display measures of variability for each data set. They display measures of variability for each data set. They easily show the mean of each data set.
Answers
Answer:
Step-by-step explanation:
A and C Step-by-step explanation:I would go for A and C options which best describes the use of data displays for the comparison of two data sets.Data Display is basically displaying of useful data which has been extracted from bundles of raw data or raw data points. That useful data can be used to compare two different datasets as well. So, in option A, It says that it quickly illustrate measures of centre. True, because it presents you quick display so that everyone seeing the data in form of charts or tables easily catch the information to be conveyed. And in option C, It says, they show trends in data that can be compared. Yes again true. Data displays show you trends of different things in one clear picture and it can be compared with other datasets through the use of data displays. Still stuck? Get 1-on-1 help from an expert tutor now.
Please help! will give brainlest!
Answers
Answer:
Option 2 hope it helps pls mark as the brainliest
Sylvie needs $110 for a concert ticket. She already has $16 and she can earn the rest by working 10 hours at her job. If h represents her hourly earnings, which of the following equations can be solved to find Sylvie’s hourly earnings? Select all that apply.
A. 110 – 16 = 10h
B. 110 = 16h + 10
C. 16 = 110 – h
D. 110 = 16 + 10h
E. 110 + 16 = 10h
Answers
Answer:
The correct answers are:
A.) 110 - 16 = 10h
B.) 110 = 16h + 10
Step-by-step explanation:
Sylvie needs $110 for a concert ticket and already has $16 in her pocket. She can make up the difference by working an additional 10 hours at her job.
To earn the $110 required for the concert ticket, she'll need to work 10 hours in addition to the $16 she already has.
As a result, the following calculation can be used to calculate her hourly rate:
110 = 16 + 10h
110 - 16 = 10h
I hope this helps! ^-^
i need help with 7 and 8 explanations and show work for solving?
Answers
Answer:
ang ganda noh
Step-by-step explanation:
sorry di ko po alam yung sagot
Adi drew a circle with a radius of 10 cm. What is the area of the circle? Use 3. 14 for pi
Answers
Answer:
314
Step-by-step explanation:
This is because the area is r^2*3.14
Which shows the Identity Property?
A. 2 +7=7 +2
B. 4 + 0 = 4
C. 6+ (4 + 8) = (6 + 8) + 4
Answers
Answer:
B shows the Identity Property.
Step-by-step explanation:
x+0=x
Do I subtract the fractions or divide or do something else with them please help
Answers
Answer:
7/6
Step-by-step explanation:
in order to find the answer you have to -5/6 by 1/3 and then you get 7/6 so technically you have to minus it
Which equation represents the line that passes through the point (-2,5) and has a slope of - 3
Answers
Answer: Answer:
A. is your answer
When using the Slope Method, your answer is y - 5 = 4(x - 2).
Feel free to give brainliest.
Have a great day everyone!
The slope equation is y=mx + b or point slope equation is y1-y=m(x1-x)
If you already have a point, using point slope form would be way faster and easier.
Point (-2,5) slope of -3
Plug into equation of y-y1=m(x1-x)
y - 5 = -3(-2- x) then add the 5 to the right side of the equation then your answer will be
y= -3(-2-x) + 5
Divide 2.875 x 106 by 2.3 x 103.
Answers
Answer:
1.25 x 10^3
Step-by-step explanation:
i took the test
Expand 3(2x-7) - 2(3x+5)
Answers
Answer:
-31
Step-by-step explanation:
Expand 3(2x-7) - 2(3x+5)
Distribute:
3(2x-7)
6x - 21
-2(3x+5)
-6x - 10
Add:
6x - 21
- 6x - 10
- 31
Hope this helps!
Answer:
[tex]\boxed{\sf{-31}}[/tex]
Step-by-step explanation:
If you want to solve this, you must expand by a distributive property.
Distributive property:
A(B+C)=AB+AC3(2x-7)-2(3x+5)
3(2x-7)
3*2=6
3*7=21
Rewrite the problem.
6x-21
6x-21-2(3x+5)
-2(3x+5)
-2*3=-6
-2*5=10
-6x-10
Rewrite the problem down.
6x-21-6x-10
Combine like terms.
6x-6x-21-10
Add similar into their elements.
6x-6x=0
-21-10
Solve.
Subtract the numbers from left to right.
-21-10=-31
-31
Therefore, the correct answer is -31.I hope this helps you! Let me know if my answer is wrong or not.
please someone help 2 yards=_____feet
Answers
Answer:
3 feet in a yard, so the answer is 6
Step-by-step explanation:
2 yards x 3 feet in a yard = 6 feet
Answer:
6
Step-by-step explanation:
There are 3 feet in 1 yard, so in 2 yards there would be 6 feet.
Hope that helps!
2x+5=12 pleas and thank you :D
Answers
12-5=2x
2x=7
X=3.5
Answer:
x= 7/2
Step-by-step explanation:
move the constant 2x+5=12 to make it 2x=12-5.
subtract 12-5= 7
2x=7 divide both sides
x=7/2
i did try my best hope this helps :)
The half-life of a radioactive substance is the time it takes for a quantity of the substance to decay to half of the initial amount. The half-life of the radioactive gas radon is approximately 2.8 days. The initial amount of radon used in an experiment is 74 grams. If N represents the number of grams of radon remaining t days after the start of the experiment,
Answers
Answer:
N = 74(1/2)^(t/2.8)
Step-by-step explanation:
The exponential function expressing a half-life relation can be written ...
amount = (initial amount) × (1/2)^(t/(half-life))
For the numbers given in this problem, this is ...
N = 74(1/2)^(t/2.8)
__
Some folks like to express these relations in the form ...
N = 74e^(-kt)
In this form, the value of k is ...
k = ln(2)/(half-life) ≈ 0.693147/2.8 ≈ 0.24755
N = 74e^(-0.24755t)
The solid below is dilated by a scale factor of 3. Find the volume of the solid created
upon
dilation.
Answers
The volume of the solid created upon dilation bythe scale factor of 3 is 5832 units³.
What is the volume of the dilated solid?An image is dilated if the dimensions of the image is resized in a way that does not change the shape of the image. When an image is dilated, it is made larger.
Dimensions of the dilataed solid = 6 x 3 = 18
Volume = 18³ = 5832 units³
To learn more about dilation, please check: brainly.com/question/3457976
does anyone know how many feet this is if i do it is 1,474 x 829 just make it into a small number
Answers
Answer:
101828.833333
Step-by-step explanation:
you have to multiply the two numbers then divide by 12
Which value is equivalent to the expression 3^2 × 3^3?
Answers
Answer:
243
Step-by-step explanation:
3^2 x 3^3 is the same as 3x3 x 3x3x3 which is 9x27 which is 243
Last year 950 people attended a town’s annual parade. This year 1,520 people attended. What was the percent increase in attendance from last year to this year?
Answers
Answer: 60% increase
Step-by-step explanation:
First, find how many more people attended this year: 1,520 - 950 = 570.
Now, find what percent of 950 570 is: 950 * x = 570 → x = .6 * 100 = 60% :)
What is m∠P?
There is a five sided polygon PQRST in which the measure of angle PQR is 132 degrees, the measure of angle QRS is (4x-10) degrees, the measure of angle RST is (5x-11) degrees, the measure of angle STP is 128 degrees and the measure of angle TPQ is (4x+2) degrees.
m∠P =
°
Answers
Answer: 94 degrees
Step-by-step explanation:
Given the function h of x equals 3 times the square root of x, which statement is true about h(x)?
The function is decreasing on the interval (–∞, 0).
The function is increasing on the interval (–∞, 0).
The function is decreasing on the interval (0, ∞).
The function is
Answers
The true statement about h(x) is: The function is increasing on the interval [0, ∞).
Linear FunctionA linear function can be represented by a line. The standard form for this equation is: ax+b , for example, y=2x+7. Where:
a= the slope.If:
a> 0 , the function is increasing;
a< 0 , the function is decreasing;
b=the constant term that represents the y-intercept.
Domain and RangeThe domain of a function is the set of input values for which the function is real and defined. In other words, when you define the domain, you are indicating for which values x the function is real and defined.
While the domain is related to the values of x, the range is related to the possible values of y that the function can have.
You should convert the text of the question into a math expression.
[tex]h(x)=3*\sqrt{x}[/tex]
Like the coefficient a is greater than zero (a>0), the function is increasing.
The equation has a square root, so, the values of x can not present negative values. Therefore, x≥0. Consequently, the values of y (range) for this function will be greater than or equal to zero (y≥0). See the attached image.
The range is:
[tex]{Solution:}\:&\:f\left(x\right)\ge \:0\:\\Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]
Learn more about the range and the domain here:
brainly.com/question/10197594
To determine the age of fossils, scientists use radiometric dating. This involves measuring quantities of certain radioactive isotopes and using mathematical equations to compare the amounts of each isotope present.
Suppose a scientist dates a piece of petrified wood and calculates that it is approximately 23,881,392.3102 years old. The petrified wood is later displayed in a museum.
What is the most reasonable way for the museum tour guide to describe the age of the wood to museum visitors?
(A): 2.3881×107 years old
(B): 24 million years old
(C): 23.8813923102 mega years old
(D): 23 billion years old
Answers
Answer:
B 24 million years old
Step-by-step explanation:
i did this quiz a long time ago tho so it might be B or D
7.7 cm
A company is designing a new cylindrical water
bottle. The volume of the bottle will be 115 cm3.
The height of the water bottle is 7.7 cm. What is
the radius of the water bottle? Use 3.14 for r.
Answers
Step-by-step explanation:
I guess the 3.14 is to be used for pi (and not r, which is what we need to find out).
the volume of a cylinder is ground area × height.
the ground area is the area of a circle, which is pi×r².
so, we have
pi×r²×height = 115 cm³
3.14×r²×7.7 = 115 cm³
3.14×r² = 14.93506494...
r² = 4.756390107...
r = 2.18091497... cm
Triangle ABC has side lengths AB=25 units, BC=24 units, and AC=7 units. Triangle ABC is mapped to triangle A′B′C′ by a reflection across a horizontal line and translated left 12 units. What is the length of segment B′C′?
Answers
Answer:
C
Step-by-step explanation:
because yes so the 25 unit down 12 units up
He asked the class to write a number that is greater than R, and less than S.
Which choice is correct?
0.30
0.45
0.70
0.75
Answers
number greater than R and less than S is 0,45
Answer:
0.45
Step-by-step explanation:
R = .34
S = .66
.30 is less than R and less than S
.70 is greater than R and greater than S
.75 is greater than R and greater than S
.45 is the only one that is greater than R and less than S
Hope this helped <3 brainliest please :)