If the diagonals of a rhombus are of length 24 & 32 cm, find the altitude of the rhombus.

a) 15.8 cm
b) 14.2 cm
c) 12 cm
d) 19.2 cm​

Answers

Answer 1

Hello Carousel!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

If the diagonals of a rhombus are of length 24 & 32 cm, find the altitude of the rhombus.

a) 15.8 cm

b) 14.2 cm

c) 12 cm

d) 19.2 cm

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

Please refer to the attached picture for the answers with steps included.

NOTE :-

The sides of a rhombus are equal to each other.The point of intersection of the diagonals (marked as O in the figure) forms 90° angles (which is why we used the pythagoras property to solve the question).Since 0 is the point of intersection, it's also the midpoint of the diagonals. (So, BO = ½ × BD & AO = ½ AC -- we used this to solve the question).

__________________

Hope it'll help you!

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If The Diagonals Of A Rhombus Are Of Length 24 & 32 Cm, Find The Altitude Of The Rhombus.a) 15.8

Related Questions

Please help me! It’s for geometry

Answers

The answer to this is 2 67.5

10 pls pls pls help meeee!

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Answer:

SAS

I THINK CORRECT ME IF IM WRONG

please help fast ^^

Using the discriminant, determine the number of real solutions,

-2x^2+x-28= 0

Ono real solutions
O one real solution
O two real solutions

Answers

The discriminante :
b^2-4ac

1^2 - 4 * -2 * -28 = 1 - 224 = -223

When the discriminant (b^2-4ac) is less than 0, the equation had no real solutions.

-223<0, so, 2x^2+x-28 = 0 has no real solutions.


Hope that helps :)

The number of real solutions is 0, the correct answer is A.

How to use discriminant to find the property of solutions of given quadratic equation?

Let the quadratic equation given be of the form ax^2 + bx + c = 0, then

The quantity b^2 - 4ac is called its discriminant.

The solution contains the term [tex]\sqrt{b^2 - 4ac}[/tex] which will be:

Real and distinct if the discriminant is positive

Real and equal if the discriminant is 0

Non-real and distinct roots if the discriminant is negative

There are two roots of a quadratic equations always(assuming existence of complex numbers). We say that the considered quadratic equation has 2 solution if roots are distinct, and have 1 solutions when both roots are same.

We are given that;

The equation -2x^2+x-28= 0

Now,

The discriminant of a quadratic equation ax^2 + bx + c = 0 is given by b^2 - 4ac. The discriminant can be used to determine the number of real solutions of the equation as follows:

If the discriminant is positive, there are two distinct real solutions.

If the discriminant is zero, there is one repeated real solution.

If the discriminant is negative, there are no real solutions.

In this case, the quadratic equation is -2x^2 + x - 28 = 0. Comparing it with the standard form, we can identify that a = -2, b = 1, and c = -28. Therefore, the discriminant is:

b^2 - 4ac

= 1^2 - 4(-2)(-28)

= 1 - 224

= -223

Since, the discriminant is negative, there are no real solutions for this equation.

Learn more about discriminant of a quadratic equation here:

https://brainly.com/question/18659539

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Carly withdraws $18 from her bank account. Which number line represents this amount?
-20 -15 -10 -5 0 5 10 15 20,
10 15 20 -20 -15 -10 -5 0 5
10 15 20 -20 -15 -10 -5 0 5,
-20 -15 -10 -5 05 10 15 20.​

Answers

20 15 10 5 0 5 10 15 20
I already withdraw it and saw the answer

Use the graph below to find the x- and y - intercepts .

x-intercept : - 6; y - in ; intercept : 9

x-intercept: 1.5 ; y-intercept: 9

x-intercept : 9; y-intercept : - 6

x-intercept: -6; y-intercept: 3

Answers

x-intercept is -6 and the y-intercept is 9

In the triangle below, suppose that mZL=(x+3)°, mZ M=(5x-7)°, and m N= (2x).
Find the degree measure of each angle in the triangle.
N
(2x)
mL =
日。
х
M
(5x - 7).
m M =


mZN =
(x + 3)°

Answers

Answer:

Given

Triangle ABC is right angled at A.

[tex]m\angle B=(5x+7)^∠B=(5x+7)∘[/tex]

[tex]m\angleC=(4x+29)^∠C=(4x+29) [/tex]

To find:

The degree measure of each angle in the triangle.

Solution:

According to the given information,

[tex]m\angleA=90^\circm∠A=90[/tex]

[tex]m\angleB=(5x+7)^\circm∠B=(5x+7) [/tex]

[tex]m\angleC=(4x+29)^\circm∠C=(4x+29) ∘[/tex]

Now,

[tex]m\angleA+m\angleB+m\angleC=180^\circm∠A+m∠B+m∠C=180 ∘[/tex]

(Angle sum property)

[tex]90^\circ+(5x+7)^\circ+(4x+29)^\circ=180^\circ90∘+(5x+7)∘+(4x+29) ∘ =180[/tex]∘

[tex](9x+126)^\circ=180^\circ(9x+126)∘ =180∘[/tex]

9x+126=1809x+126=180

9x=180-1269x=180−126

9x=549x=54

Divide both sides by 9.

[tex] \sf{x=\dfrac{54}{9}x=954}[/tex]

x=6x=6

Now,

[tex]m\angle A=90^\circm∠A=90

∘[/tex]

[tex]m\angleB=(5(6)+7)^\circm∠B=(5(6)+7) [/tex]

[tex]m\angle B=37^\circm∠B=37[/tex]

[tex]m\angleC=(4(6)+29)^\circm∠C=(4(6)+29)[/tex]

[tex]m\angle C=53^\circum \: ∠C=53[/tex]

Therefore,

The measures of ∠A, ∠B, ∠C are 90°, 37°, 53° respectively.

Answer:

26°, 108°, 46°

Step-by-step explanation:

Assumed the given is:

ΔLMN with angle measures of (x + 3), (5x - 7) and 2x.

We need to find the angle measures in degrees.

We know the sum of interior angles is 180:

x + 3 + 5x - 7 + 2x = 1808x - 4 = 1808x = 184x = 184/8x = 23

Find the angle measures:

m∠L = x + 3 = 23 + 3 = 26m∠M = 5x - 7 = 5*23 - 7 = 108m∠N = 2x = 2*23 = 46

pls answer quick!!! i'll give brainliest if right!

Answers

Answer:

Step-by-step explanation:

$0.11

per ounce

1.32/12=0.11!!

Answer:   1.21

Since we know that $1.32 is 12 ounces all we need to do is figure out how much is in each ounce which is "0.11", so this means for each unit equals to "0.11" so

0.11 x 11=1.21 ounces            Good luck!

SHOW WORK FOR CREDIT.

4. −10(x − 3)

A) −15x + 30
B) −10x + 30
C) −15x + 35
D) −15x + 37

Answers

Answer:

B) -10x + 30

Step-by-step explanation:

You have to multiply -10*x and -10*-3. -10*x equals -10x and -10*-3 is +30.

Answer:

[tex]\sf -10x+30[/tex]

Step-by-step explanation:

[tex]\sf -10(x - 3)\\-10x-\left(-10\right)\times \:3\\-10x+30[/tex]

May I please receive help?

Answers

Answer:

m<1=47 and m<2=29

Step-by-step explanation:

May I please receive help?

Please?

Just find m2

Answers

86-12 =74
The answer is 74 degrees

Answer:

I'll assume the question says "m<1 is 12 deg. more than m<2."

Step-by-step explanation:

m<WXZ is 86

m<1 + m<2 = 86

m<1 = m<2 + 12

(m<2 + 12) + m<2 = 86

2m<2 + 12 = 86

2m<2 = 74

m<2 = 37

m<1 = 49

m<1 + m<2 = 86 [Checks]

Chau rented a truck for one day. There was a base fee of $20.95, and there was an additional charge of 97 cents for each mile driven. Chau had to pay $306.13 when he returned the truck. For how many miles did he drive the truck?

Answers

Answer:

Chau drove 13.96 miles while he was using the truck

Step-by-step explanation:

Answer:

294 miles!!!!!!

Step-by-step explanation:

over the last 4 years michael has earned $240 interest on an initial investment of $2,000. what simple annual interest rate is the bank paying on this account

Answers

Answer:

.03 or 3%.

Step-by-step explanation:

Important:

I = interest

P = principal (investment)

R = simple interest rate

T = years

Formula: I = PRT

Given:

I = $240

P = 2000

T = 4 years

R = ?

Plug into formula:

240 = 2000(R)4

Multiply right side 2000*4

240 = 8000R

Divide both sides by 8000.

R = 240/8000

R = .03

The simple annual interest rate was .03 or 3%.

Therefore it .03 or 3%

WHAT ARE CONGRUENCE LINES

Answers

Answer:

Line segments are congruent if they have the same length. However, they need not be parallel. They can be at any angle or orientation on the plane. ... Rays and lines cannot be congruent because they do not have both end points defined, and so have no definite length.

Help me please!Please look at the pic then tell me if im wrong on something.Thank you! :)

Answers

Answer: for every 3 triangles there are 5 squares. not 4. so the ratio is 3:5.

could you give me brainliest pls?

Help stuck on question number 9

Answers

Answer:

y=4x-4

Step-by-step explanation:

You know that a line perpendicular to the equation (y= -1/4x-14) would have an opposite reciprocal slope.

The slope from the given equation is -1/4x. Take the opposite reciprocal and you get 4/1x or 4x as your slope.

Now use the point-slope formula to find your b value.

(y-y1)=m(x-x1)

m= 4

Plug in (3,8) for x and y, and solve.

(y-8)= 4(x-3)

y-8= 4x -12

y=4x-4

If Sarah sold 20 bags of dog treats for $3.25 each, how much money did she earn? You must show your work to earn full credit.

Answers

Answer:

$65

Step-by-step explanation:

20 bags of dog treats multiplied by 3.25 = $65.00

Sarah made 65 dollars.

Answer:

Sarah earned $65.

Step-by-step explanation:

Create an equation.

20 representing the bags she has sold, 3.25 representing the value of each bag. If Sarah sold 20 bags of dog treats, with each of them being worth 3.25, then 20(3.25) = 65, meaning Sarah earned $65.

HELP ASAP PLS 10 POINTS ​

Answers

Answer:

try a or b hope this helps

Answer:

top right

Step-by-step explanation:

What is the answer for -6 + x/4 = -5?

Answers

Answer:

4

Step-by-step explanation:

-6 + x/4 = -5 --> add 6 to both sides

x/4 = 1 --> times 4 on each side

x = 4

Your answer would be: x = 4

Solve the equation. Find x.
20x + 5 - 0 = 5x + 32.5*2

Answers


20x+5=5x+65
-5x -5
15x=60
x=60/15
x=4

Write the number 1, 256 in expanded form.
0 10,000 + 200 + 50 + 6
0 1,000 + 200 + 50 + 6
0 100 + 200 + 50 + 6
O 100 + 20 + 5 + 6

Answers

Answer:

1,000 + 200 + 50 + 6

Answer: 1,000 + 200 + 50 + 6

Step by Step explanation:

Place Values:

1 = Thousands (1,000)
2 = Hundreds (200)
5 = Tens (50)
6 = Ones (6)

1,000 + 200 + 50 + 6 = 1,256

f(9) = -14. what is the value of f^-1(-14)
Please show step by step :)

Answers

Answer:

[tex]f^{-1}[/tex] (- 14) = 9

Step-by-step explanation:

f(9) = - 14 maps x = 9 to y = - 14

The inverse maps y = - 14 to x = 9 , that is

[tex]f^{-1}[/tex] (- 14) = 9

SOMEONE HELP ITS DUE TONIGHT

Answers

Answer:

n=27 degrees

m=36 degrees

Step-by-step explanation:

So the inside triangle has two equal sides. To find these angles you would do the degrees of a triangle (180) minus the known value and then divided by two.

so it is: 180-126/2 which gives you 27 degrees.

this means the n value is 27.

to find m, you have to take away 90 degrees and the n value from 180.

so it is: 180-90-27 which gives you 63 degrees.

now you must take the smaller angle from 63 degrees to find m.

so it is: 63-27 which gives you 36

therefore...

n=27 degrees

m=36 degrees

Can somebody solve this for me?

Answers

Answer:

Area of rectangle = L x W

Step-by-step explanation:

A = L x W

L = 18

W = 10 + 5

so,

A = 18 x (10+5)

A = 18 x 15

A = 270


Can someone tell me the answer to this please???

Answers

Answer:

36

Step-by-step explanation:

Answer:

It's 36 ya know

Step-by-step explanation:

60 and 60 so 36 and 36

:)

PLS HELP ME, I REALLY NEED THIS RIGHT NOW, 100 POINTS, IF YOU ANSWER WITH NO EXPLANATION, OR ANSWER FOR THE POINTS YOU WILL BE REPORTED
A marine biologist is studying the growth of a particular species of fish. She writes the following equation to show the length of the fish, f(m), in cm, after m months:

f(m) = 4(1.08)m

Part A: When the marine biologist concluded her study, the length of the fish was approximately 6.86 cm. What is a reasonable domain to plot the growth function? (4 points)

Part B: What does the y-intercept of the graph of the function f(m) represent? (2 points)

Part C: What is the average rate of change of the function f(m) from m = 3 to m = 7, and what does it represent? (4 points)

Answers

9514 1404 393

Answer:

0 ≤ m ≤ 70.4541 cm/month; average rate of growth over last 4 months of study

Step-by-step explanation:

Part A:

The study was concluded after 7 months. The fish cannot be expected to maintain exponential growth for any significant period beyond the observation period. A reasonable domain is ...

  0 ≤ m ≤ 7

__

Part B:

The y-intercept is the value when m=0. It is the length of the fish at the start of the study.

__

Part C:

The average rate of change on the interval [3, 7] is given by ...

  (f(7) -f(3))/(7 -3) = (4(1.08^7) -4(1.08^3))/4 = 1.08^3·(1.08^4 -1)

   ≈ 0.4541 cm/month

This is the average growth rate of the fish in cm per month over the period from 3 months to 7 months.

Evaluate the expression when x=-4. X^2+5x+7

Answers

Answer:

-29

= -16 + 5(-4) + 7

=16 - 20 + 7

=-29

Which of the following represents a function?

Answers

Answer:

B) Graph of an Absolute Value Function

Step-by-step explanation:

A function is a relation in which no two ordered pairs have the same input and different outputs. Whenever you're trying to determine whether a given relation is a function, observe whether each input correspond with exactly one output.    

The given table in Option A) is not a function because there are two corresponding y-values for x = 3.

Option C is also not a function because the input value of x = -1 has two output (y-values): -11 and 5.

Option D is also not a function because the input value of 3 has two output values: -5 and 0.

Option B represents a function because each input value has exactly one corresponding output value.  A useful technique to use in determining whether a given graph represents a function is the Vertical Line Test.  If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.

Attached is an edited screenshot of Option B, where it shows that each blue vertical line has its own corresponding point.  This means that the each line crosses the graph at most once. Therefore, the correct answer is Option B.

Answer:

The graph

Step-by-step explanation:

I got it right on plato

what is 2x(7+66) i need help

Answers

7+66 is 73,so that means 73 x 2

73 x 2 is 146.

So it is 146

Hope you have a great day.

Good luck

Answer:

146x

Step-by-step explanation:

hope it helps

mark me brainliest

i work on this on last friday

Please help :(((((((((

Answers

Answer:

Yes it is a linear function

Step-by-step explanation:

What is the equation of the line shown in this graph

Answers

Answer:

y=1

Step-by-step explanation:

The line is hoizonatal so the slope would be undefined and the y intercept would be 1

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