In the triangle shown below, find the value of a.
45°
9.2
I don’t get this someone pleas help out!

In The Triangle Shown Below, Find The Value Of A.459.2I Dont Get This Someone Pleas Help Out!

Answers

Answer 1

Given:

The figure of a right angle triangle.

Measure of one angle is 45 degrees.

Hypotenuse = [tex]9\sqrt{2}[/tex]

Opposite side of angle 45 degrees = a

To find:

The value of a.

Solution:

In a right angle triangle,

[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

It can be rewritten as:

[tex]\sin \theta=\dfrac{Opposite}{Hypotenuse}[/tex]

For the given triangle,

[tex]\sin (45^\circ)=\dfrac{a}{9\sqrt{2}}[/tex]

[tex]\dfrac{1}{\sqrt{2}}=\dfrac{a}{9\sqrt{2}}[/tex]

[tex]\dfrac{9\sqrt{2}}{\sqrt{2}}=a[/tex]

[tex]9=a[/tex]

Therefore, the value of a is 9 units.


Related Questions

Which expression is equivalent to squareroot a⁷

its D​

Answers

Answer:

d) sqrt a^6 × a

Step-by-step explanation:

sqrt a^6 × a

= a× a =a

6+ 1 = 7

= sqrt a^7

(PLEASE HELP)
What is the measure of the unlabeled angle in the triangle below?

A.38
B.40
C.49
D.89

Answers

The answer is 40

91+49=140
180-140=40

Answer: B. 40

Step-by-step explanation:

We know that a triangle has to equal 180 degrees and we have measurements of two sides 49 and 91 we add those together to get 140 and subtract that from 180 to get you answer of B. 40

A triangle has sides of length 2 cm and 12 cm. What can you say about the length of the third​ side?

Answers

Answer:

The third side must be between 10cm and 14 cm

Step-by-step explanation:

Let the third side be x

Triangle inequality theorem: sum of the length of any two sides must be greater than the third side length:

2 + 12 > x ⇒ x < 142 + x > 12 ⇒ x > 10x + 12 > 2 ⇒ x > -10, we change it to x > 0 as it should be a positive number

Combined together we have:

10 < x < 14

The third side must be between 10cm and 14 cm

i need help with this question.

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 32*

Explanation:

9x + 3x-10 + 2x-6 = 180

x = 14

3(14) - 10 = 32

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

<A=32

Step-by-step explanation:

9x+3x-10+2x-6=180

14x-16=180

14x=196

x=14

3(14)-10=

Find the value of this expression if x = -2 and
y = 4.
ху
3

Answers

Answer:-8/3

Step-by-step explanation:

given xy/3

putting vales of x and y

(-2)(4)/3

-8/3

Solve the equation.
m2-14 – 29

Answers

Answer:

m = 15

Step-by-step explanation:

m + 14 = 29

Subtract the 14...

m = 15

I hope this helps :)

Answer:

m = 15

Step-by-step explanation:

Which choice is the conjugate of the expression below X is greater than equal to four? X-4-5

Answers

Answer:

√x-4 - 5

Step-by-step explanation:

a p E x

Answer:

D.

Step-by-step explanation:

A P E X

Solve this system using substitution: y=5x and 7x-3y=32

Answers

Answer:

x = -4 and y = -20

Step-by-step explanation:

y = 5x and 7x - 3y = 32

→ Substitute y = 5x into 7x - 3y = 32

7x - 15x = 32

→ Simplify

-8x = 32

→ Solve

x = -4

→ Substitute x = -4 into y = 5x

5 × -4 = -20

Determine the value of x that makes each equation true.
-3x =6.3
-1.2x = -30
x/-1.2 = -0.3
^fraction
Solve please help.

Answers

Your answer is B. Hoped this helped.

What is the median of these scores,
98,82,100,84?

Answers

Answer:

the median is 91

Step-by-step explanation:

have a good day

At a museum cafe you can get a pre-made boxed lunch with a sandwich, fruit, and drink for only .

The sandwiches are made with either turkey or ham.
The fruit is either an apple or an orange.
The drink is either bottled water or juice.
The number of boxes they make for every possible combination is the same. If you randomly choose one of the boxed lunches without knowing the contents, what is the probability you will get a turkey sandwich, an apple, and a bottle of water in your box?

Answers

Answer:

1/8

Step-by-step explanation:

1/2 x 1/2 x 1/2

Cody bought eight bags of jelly beans at the store. He counted the number of jelly beans in each bag. These are the results:
40, 40, 42, 50, 55, 57, 59, 61
Which measure of central tendency is most appropriate for the data, and why?
mean, since it represents the most frequent number
A
B
mean, since there are no outliers that affect the data
С
median, since there are no outliers that affect the data
median, since it represents the most frequent number
D

Answers

Answer:

Mean, since it represents the most frequent number

which triangle congruence postulate, if any, can be used to prove the two triangles are congruent

Answers

Answer:

dont know answer sorry minsan tama na sagot

what’s the comparison to 3/25 and 22/25

Answers

Answer:

This is the answer. Hope it helps

Step-by-step explanation:

3/25<22/25

5[5y -6] = 4[y -7]
solve the equation by balancing the equation

Answers

Answer: 2/21

Step-by-step explanation:

5[5y -6] = 4[y -7]

We first need to open the bracket to be able to solve the question

25y - 30 = 4y - 28

Collect like terms

25y - 4y = -28 + 30

21y = 2.

y = 2/21

Therefore, the value for y is 2/21.

In PQR the measure of R=90 the measure of P=62 and RP=8.6 find the length of QR to the nearest tenth of a foot.

Answers

Answer:

QR = 4.6 ft

Step-by-step explanation:

By applying tangent rule in the given triangle PQR,

tan(62°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

             = [tex]\frac{8.6}{QR}[/tex]

QR = [tex]\frac{8.6}{\text{tan}(62)}[/tex]

QR = 4.573

QR ≈ 4.6 ft

What is the volume of this rectangular prism?
3/5cm 4/3cm 3cm

Answers

Answer:

The volume is 2.4

Answer:

2.4 cm

Step-by-step explanation:

Length× Width × Height

[tex]\frac{3}{5}[/tex] × [tex]\frac{4}{3}[/tex] × [tex]\frac{3}{1}[/tex] = [tex]\frac{36}{15}[/tex]

[tex]\frac{36}{15} = \frac{12}{5}[/tex]

12÷5= 2.4

Keillisse bought a new eraser that came in a cardboard wrapper.
2cm,4cm,5cm
What is the minimum amount of cardboard used for the wrapper?
A. 38 cm
B. 40 cm
C. 76 cm
D. 80 cm

Answers

The answer is B:40cm because if you times 5x4 then times 2 you get 40cm

someone help with number 2. (it’s algebra 1)

Answers

Answer:

98 followers

Step-by-step explanation:

Because 82(1.045)^4 is equal to 97.7865252512 which is 98 when you round it to the whole number...

GOOD LUCK

Winnie has 7 soccer trophies she wants to arrange in an array. How many different arrays are possible?

Answers

Answer:

5040 possible arrangements

Step-by-step explanation:

Given

[tex]Trophies = 7[/tex]

Required

Possible arrangements

The 1st can be placed in any 7 positions

The 2nd, in 6 positions

-----

--

-

Up till the last in 1 position

So, the number of arrangements is:

[tex]Arrangements = 7 * 6 * 5 * 4 * 3 * 2 * 1[/tex]

[tex]Arrangements = 5040\ ways[/tex]

a truck sits on the platform of a vehicle lift. Two moving arms raise the platform until a mechanic can fit underneath. Why will the truck always be parallel to the ground as it is lifted?

Answers

Answer:

Step-by-step explanation:Because many objects are not regularly shaped their volume cannot be determined using a volume formula. The volume of these objects can be found by water displacement. A volume of water sufficient to cover the object is placed in a graduated cylinder and the volume read. The object is added to the cylinder and the volume read again. The difference between the two volumes is the volume of the object. This method is demonstrated using the same battery used above.

La suma dels quadrats de tres nombres naturals consecutius i múltiples de 3 és igual a 450. Planteja una equació de segon grau i calcula els tres nombres.

Answers

Answer:

The 3 numbers are 9, 12, and 15.

Step-by-step explanation:

I will answer in English, below the answer you can see a translation in Catalan.

This can be translated to:

The sum of the squares of three consecutive and multiple natural numbers of 3 is equal to 450. Pose a quadratic equation and calculate the three numbers.

First, a multiple of 3 can be written as:

3*n

The consecutive multiple of 3 is:

3*n + 3

The consecutive multiple of 3 is:

3*n + 3 + 3

Then the sum of their squares is:

(3*n)^2 + (3*n + 3)^2 + (3*n + 6)^2

And we know that this is equal to 450, then we need to solve the equation:

(3*n)^2 + (3*n + 3)^2 + (3*n + 6)^2 = 450

let's solve this:

9*n^2 + (9*n^2 + 2*(3*n)*3 + 9) + (9*n^2 + 2*(3*n)*6 + 36) = 450

27*n^2 + 54*n + 45 = 450

we can write this as:

27*n^2 + 54*n + 45 - 450 = 0

27*n^2 + 54*n - 405 = 0

The solutions of this equation are given by the Bhaskara's formula, and the solutions are:

[tex]n = \frac{-54 \pm \sqrt{54^2 -4*27*(-415)} }{2*27} = \frac{-54 \pm 216 }{54}[/tex]

we know that our numbers are naturals, then the numbers are positives, which means that we only care for the positive solution of n, which is:

n = (-54 + 216)/54 = 3

Then the 3 numbers are:

3*n = 3*3 = 9

(3*n + 3) = (3*3 + 3) = 12

(3*n + 6) = (3*3 + 6) = 15

In Catalan:

En primer lloc, es pot escriure un múltiple de 3 com:

3 * n

El múltiple consecutiu de 3 és:

3 * n + 3

El múltiple consecutiu de 3 és:

3 * n + 3 + 3

Llavors, la suma dels seus quadrats és:

(3 * n) ^ 2 + (3 * n + 3) ^ 2 + (3 * n + 6) ^ 2

I sabem que això és igual a 450, llavors hem de resoldre l’equació:

(3 * n) ^ 2 + (3 * n + 3) ^ 2 + (3 * n + 6) ^ 2 = 450

resolem això:

9 * n ^ 2 + (9 * n ^ 2 + 2 * (3 * n) * 3 + 9) + (9 * n ^ 2 + 2 * (3 * n) * 6 + 36) = 450

27 * n ^ 2 + 54 * n + 45 = 450

podem escriure això com:

27 * n ^ 2 + 54 * n + 45 - 450 = 0

27 * n ^ 2 + 54 * n - 405 = 0

Les solucions d’aquesta equació vénen donades per la fórmula de Bhaskara, i les solucions són:

[tex]n = \frac{-54 \pm \sqrt{54^2 -4*27*(-415)} }{2*27} = \frac{-54 \pm 216 }{54}[/tex]

sabem que els nostres nombres són naturals, aleshores els nombres són positius, cosa que significa que només ens importa la solució positiva de n, que és:

n = (-54 + 216) / 54 = 3

Llavors els 3 nombres són:

3 * n = 3 * 3 = 9

(3 * n + 3) = (3 * 3 + 3) = 12

(3 * n + 6) = (3 * 3 + 6) = 15

52% of the total number of students in a school are boys. If there are 260 boys,​

Answers

Question:

52% of the total number of students in a school are boys. If there are 260 boys,​ how many students are there in total? how many of them are girls?

Answer and Step-by-step explanation:

The total amount of students is 500.

Yo get this by dividing 260 by 52%, or 0.52

Now, we know 260 is the amount of boys, so to find the amount of girls, we subtract 260 from 500.

500 - 260 = 240.

There are 240 students that are girls.

This also means that 48% of the total number of students in a school are girls.

#teamtrees #PAW (Plant And Water)

can anyone help me with this math question

Answers

Answer:

Dan made more money last month

Step-by-step explanation:

15/100   10/100 Make the Percent's into decimal's and Dan's is still higher

()) A rectangular piece of paper has a perimeter of 22 inches and an area of 28 square
inches. What are the dimensions of the paper?

Answers

Given:

Perimeter of a rectangular paper = 22 inches.

Area of the rectangular paper = 28 square inches.

To find:

The dimensions of the rectangular paper.

Solution:

Let l be the length and w be the width of the rectangular paper.

Perimeter of a rectangle is:

[tex]P=2(l+w)[/tex]

Perimeter of a rectangular paper is 22 inches.

[tex]2(l+w)=22[/tex]

[tex]l+w=\dfrac{22}{2}[/tex]

[tex]l=11-w[/tex]                      ...(i)

Area of a rectangle is:

[tex]A=lw[/tex]

Area of the rectangular paper is 28 square inches.

[tex]28=lw[/tex]

Using (i), we get

[tex]28=(11-w)w[/tex]

[tex]28=11w-w^2[/tex]

[tex]w^2-11w+28=0[/tex]

Splitting the middle term, we get

[tex]w^2-7w-4w+28=0[/tex]

[tex]w(w-7)-4(w-7)=0[/tex]

[tex](w-7)(w-4)=0[/tex]

Using zero product property, we get

[tex](w-7)=0\text{ and }(w-4)=0[/tex]

[tex]w=7\text{ and }w=4[/tex]

If [tex]w=7[/tex], then by using (i)

[tex]l=11-7[/tex]

[tex]l=4[/tex]

If [tex]w=4[/tex], then by using (i)

[tex]l=11-4[/tex]

[tex]l=7[/tex]

Therefore, the dimensions of the paper are either [tex]7\times 4[/tex] or [tex]4\times 7[/tex].

Find the circumference of the circle. Use 3.14 for pi round the nearest hundredth rig necessary. 30 in the circumference of the circle is abt something in

Answers

Answer:

C=2 [tex]\pi[/tex] r

Step-by-step explanation:

Why should Emily use a wire to connect point 2 to point 4? A) Metal wire is always expensive to work with. B) Metal is a good insulator of electricity. C) Metal wire is a good conductor of electricity. D) Metal is an inexpensive material to work with.

Answers

Answer:

c.)  Metal wire is a good conductor of electricity.

Step-by-step explanation:

https://byjus.com/questions/why-are-metals-good-conductors-of-electricity/#:~:text=Metals%20are%20an%20excellent%20conductor,of%20the%20interacting%20metal%20ions.

"Metals are an excellent conductor of electricity and heat because the atoms in the metals form a matrix through which outer electrons can move freely. Instead of orbiting their respective atoms, they form a sea of electrons that surround the positive nuclei of the interacting metal ions."

Hope this helped!

Stay safe! <3

The recommended amount of fertilizer is 0.6 lb per 100 square feet of garden space. How much fertilizer would be needed to fertilize 250 square feet of garden space?

Answers

Answer:

1.5 lb

Step-by-step explanation:

Steps to determining the answer

calculate the lb that would be needed for 1 square foot of the gardenMultiply the answer gotten from the above step by 250 square feet

Lb that would be needed for 1 square foot = 0.6 lb / 100 = 0.006

Lb needed for 250 square foot = 0.006 x 250 = 1.5 lb

Give examples of numbers that you would multiply by 3 to get an answer that is greater than 3, equal to 3, or less than 3

Answers

Answer:

1. 3 x 3 = 9

2. 3 x 1 =3

3. 3 x 0.4 = 1.2

Step-by-step explanation: Hope this helps :)

Went out to eat on his birthday 4 shot 3 dead in tha worst way

Answers

Answer:

That's unfortunate. Is everything okay?

Other Questions
If a dolls cup holds 2ml, how many cups would it take to fill a doll's 10ml bottle Determine the value of x in the diagram. Vijay Company reports the following information regarding its production costs. Direct materials $ 10 per unit Direct labor $ 20 per unit Overhead costs for the year Variable overhead $ 10 per unit Fixed overhead $ 160,000 Units produced 20,000 units Compute its product cost per unit under absorption costing.Production cost per unit Suppose a byte-addressable computer using set-associative cache has 2 16 bytes of main memory and a cache size of 32 blocks and each cache block contains 8 bytes. a) If this cache is 2-way set associative, what is the format of a memory address as seen by the cache; that is, what are the size of the tag, set, and offset fields What are the pros and cons of Traditional Energy? (Select all that apply.) Choose the parts of the body which incorporate cartilage.adult skullearsnoselarynxmouthteethtrachea what do the children in the class do to margot sin 30Degrees = square of 3/2 and cos 30degrees =1/2 true or false What 3 Congressional acts addressed the fundamental of should slaves labor be allowed in the new states Question 6 help me dont send a link just say the answer please I will mark you as the brainlest As a result of World War II, the economy in the United Statesprosperedstayed the same as it was prior to combat entryexperienced a recessionexperienced a depression Write the equation of the line that passes through the point (-1,-5) and has a slope of -2? what felling did you have while reading/listening the story "The wondeful pear tree? employing kinesthetic Imagery, describe one of you daily routines.Limit your answer to three to five sentences only Calculate the percent mass of hydrogen in ethane (C2H6). Was violence an inevitable part of the civil rights movement? What is one of the disadvantages of getting a government-sponsored mortgage? Determine whether the qualities in the table represent a proportional relationship. If yes, give the constant rate. If no, write none. PLEASE HELPPPPPP 30 POINTS IF YOU HELP ME DO ITClick the links to open the resources below. These resources will help you complete the assignment. Once you have created your file(s) and are ready to upload your assignment, click the Add Files button below and select each file from your desktop or network folder. Upload each file separately.Your work will not be submitted to your teacher until you click Submit. WILL GIVE BRAINLILESTHow did Alice Paul and Elizabeth Cady Stanton differ?A.They were both suffragettes BUT Elizabeth Cady Stanton believed in using more aggressive approaches to winning women's suffrage. Alice Paul believed in a slower approach.B.They were both suffragettes BUT Alice Paul believed in using more aggressive approaches to winning women's suffrage. Elizabeth Cady Stanton believed in a slower approach.C.Alice Paul was a prohibitionist and Elizabeth Cady Stanton was a suffragette.D.Elizabeth Cady Stanton was a prohibitionist and Alice Paul was a suffragette.