Solve each triangle for the missing values shown. Show all work necessary. Use exact values

Solve Each Triangle For The Missing Values Shown. Show All Work Necessary. Use Exact Values

Answers

Answer 1

3)

[tex] Cos 60°= \frac{1}{2} = \frac{Adjacent} {Hypotenuse} = \frac{y} {10} \\\\ 2y=10 \\\\ y=5 [/tex]

Now, use Pythagoras theorem to find x

[tex] x^2+y^2=10^2 \\\\ \to x^2+5^2=10^2 \\\\ \to x^2+25=100 \\\\ \to x^2 = 100-25 \\\\ \to x^2= 75 \\\\ \to x= \sqrt{75} \\\\ \bf 5 \sqrt{3} [/tex]

Similarly,

4)

[tex] Sin 45°= \frac{1}{\sqrt{2}} = \frac{Opposite} {Hypotenuse} =\frac{2 \sqrt{2}} {a} \\\\ a= 2 \sqrt{2} \times \sqrt{2} \\\\ a=4 [/tex]

Now, use Pythagoras theorem to find b

[tex] b^2+(2 \sqrt{2}) ^2=a^2 \\\\ \to b^2+8=4^2 \\\\ \to b^2=16-8 \\\\ \to b^2 = 8\\\\ \to b= \sqrt{8} \\\\ \bf b=2 \sqrt{2} [/tex]

You can solve all of them in a similar way.

: )


Related Questions

Van kept track of the number of hours that he spent at the
pool each week for several weeks. He spent 6, 2, 6, 3, and
3 hours.
What is the mean number of hours that Van spent at the pool each week?
A. 20 hours
B. 4 hours
C. 3 hours
D. 5 hours

Answers

Answer:

B. 4 hours

Step-by-step explanation:

add every number up

6+2+6+3+3= 20

then divide by the number of numbers you used to add with.

20÷5=4

4 hours

Rewrite the function in standard form.
f(x) = 4(x - 2)^2+ 3

Answers

Answer:

f(x) = 4x^2 - 13

Step-by-step explanation:

f(x)=4(x-2)^2 + 3 parentaties first

f(x) = 4 (x^2 - 4)+ 3 multiply by what's infront parentaties

f(x) = 4x^2 - 16 + 3 combine light terms

f(x) = 4x^2 - 13 Answer

Hope I helped :)

find the value of each variables

Answers

Answer:

X=11

y=22

Step-by-step explanation:

[tex]tan60\frac{11\sqrt{3} }{x} \\\\\sqrt{3} =\frac{11\sqrt{3} }{x} \\\\x=\frac{11\sqrt{3} }{\sqrt{3} }[/tex]

⇒x=11

[tex]Sib 60=\frac{11\sqrt{3} }{y} \\\\\frac{\sqrt{3} }{2} =\frac{11\sqrt{3} }{y} \\\\y=\frac{11\sqrt{3} }{\sqrt{\frac{3}{2} } }[/tex]

⇒ y=22

hope it helps....

Which is the vertex point of the equation y = (x - 1)2 - 16

Answers

Answer:

The vertex is at (h, k), which here is (1, -16).

Step-by-step explanation:

Compare the given y = (x - 1)2 - 16          (which should be y = (x - 1)^2 - 16 )

to                               y = (x - h)^2 - 16.

We can readily see that h = 1 and k = -16.

The vertex is at (h, k), which here is (1, -16).

Is 80, 150, 170 a pythagorean triple?​

Answers

Answer:

Yes

Step-by-step explanation:

80² + 150² = 170²

6400 + 22500 = 28900

28900 = 28900

i need help with this​

Answers

Answer:

151

Step-by-step explanation:

Answer:

151

Step-by-step explanation:

[tex](\frac{v^2-49}{20v^3} )(\frac{4v^2-24v}{v^2+v-42} )[/tex]
I will give brainiest to answer with explanation.
Correct answer is
[tex]\frac{v-7}{5v^2}[/tex]

Answers

9514 1404 393

Answer:

  (v -7)/(5v^2)

Step-by-step explanation:

Cancel common factors from numerator and denominator.

  [tex]\dfrac{v^2-49}{20v^3}\times\dfrac{4v^2-24v}{v^2+v-42}=\dfrac{4}{20}\cdot\dfrac{(v-7)(v+7)(v)(v-6)}{v^3(v+7)(v-6)}\\\\=\dfrac{1}{5}\cdot\dfrac{v-7}{v^2}\cdot\dfrac{v(v+7)(v-6)}{v(v+7)(v-6)}=\boxed{\dfrac{v-7}{5v^2}}[/tex]

geometry ^
please help me

Answers

2.99

by process of a elimination it can’t be the bottom two since the object is getting larger. If you take 6.21/5.4 you end up with 1.15. So now if you take 2.99/2.6 it also equals to 1.15.


Match the description to the appropriate term.
internal energy
heat
thermal energy

Answers

You got it correct? Wdym

Answer:

I got all right. Thanks.... ❤️

5th grade math. correct answer will be marked brainliest

Answers

Answer:

70/9

Step-by-step explanation:

You can rewrite 8 pounds as 72/9.

Take away 2/9 and you are left with 70/9.

Answer:

[tex]\frac{2}{9} x \frac{8}{1} = \frac{16}{9} = 1 \frac{7}{9}[/tex]

help plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

The second box is the answer

Step-by-step explanation:

Solution

V=whl=5·5·5=125

the question is find the product of -8 and the sum of -2(10x + 3y) and -5(6y -7x)

Answers

Answer:

Step-by-step explanation:

-2(10x + 3y)

-20x -6y         [-2 multiplied by 10x = 20x,      negative + positive = negative]

-5(6y -7x)

-30y + 35x

-20x -6y -30y +35x

35x - 20x     -30y -6y

          15x - 36y

Answer = 15x -36y

Answer:

- 120x + 288y

Step-by-step explanation:

Begin by summing the 2 expressions

- 2(10x + 3y) - 5(6y - 7x) ← distribute parenthesis

= - 20x - 6y - 30y + 35x ← collect like terms

= 15x - 36y

Now multiply the result by - 8

- 8(15x - 36y) ← distribute

= - 120x + 288y

please help me find the missing angles for each problem

Answers

Answer:

1) L1 = 123

L3 = 57

2) L1 = 49

L3 = 131

3) L2 = 116

L4 = 64

4) L1 = 108

L2 = 72

5) L3 = 69

L4 = 111

6) L3 = 124

L4 = 56

3x+5y=27.50 & 6x+3y=27

I love you ​

Answers

Answer:

what do u want me to do withthis question

can u edit then I’ll edit

Step-by-step explanation:

An iphone costs $1000 and is on sale for 20% off

Answers

It’s 800 in total for a phone off 20%. 20% of 1000 is 200, so you do 1000-800 to get your final answer

can any body help me with Factoring

Answers

Answer:

Sure I would love to help you with factoring

Mark my answer as brainliest and I shall help you

PLEASE HELP GEOMETRY !!!!!

Answers

Answer:

x = 11.5

Step-by-step explanation:

[tex] \sin \: 35 \degree = \frac{x}{20} \\ \\ x = 20 \sin \: 35 \degree \\ \\ x = 11.471528727 \\ \\ x = 11.5[/tex]

Solve the following quadratic equations using factoring.
a. x2 + 10x + 24 = 0

Answers

Answer:

x = - 6, x = - 4

Step-by-step explanation:

Given

x² + 10x + 24 = 0 ← in standard form

(x + 6)(x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 6 = 0 ⇒ x = - 6

x + 4 = 0 ⇒ x = - 4

What is the volume of this rectangular prism?

Jasper built a dollhouse for his younger sister.

A rectangular prism has a length of 24 inches, width of 8 inches, and height of 10 inches. A triangular prism has a triangular base of 24 inches and height of 6 inches. The height of the prism is 8 inches.
Which equation shows how to determine the volume of the dollhouse?
V = 24 (10) (8) + one-half (6) (24) (8)
V = 24 (10) (8) + one-third (6) (24) (8)
V = 24 (10) (8) + one-half (6) (24) (10)
V = 24 (10) (8) + one-third (6) (24) (10)

Answers

Answer:

It's A :)

Also can i please have brainliest :)

Answer:

A

Step-by-step explanation:

find a single discount equivalent to two successive discount of 20% and 5%​

Answers

Answer:

Let the marked price =Rs100

After a discount of 20%, the price = 100−20% of100 = 100−10020×100 = 100−20=80

After a further discount of 5%, price = 80−5% of80 = 80−1005×80 = 80−4 = Rs76

Final Selling = Rs76

Total Discount = 100−76=Rs24

Thus, discount % = 10024×100 = 24%

.Distribute and combine like terms: −4(7r + 7)

Answers

Answer:

−28r−28

Step-by-step explanation:

−4(7r+7)

=(−4)(7r+7)

=(−4)(7r)+(−4)(7)

What is the angle relationship?

Answers

Answer:

z = 15 degrees, 5z = 75 degrees

Step-by-step explanation:

AYB is 180 degrees

CYD is 90

so the two missing angles sum to 180 - 90 = 90

z + 5z = 90

6z = 90

z = 15

5z = 75

PLEASE HELPP ILL GIVE BRAINLIEST

Answers

The answer would be 75%

. Find the sum of the infinite series, if it exists.

-270+135-67.5+⋯

Answers

Answer:

-180

Step-by-step explanation:

135/-270 = -1/2

67.5/135 = -1/2

The series is an infinite geometric series with r = -1/2

Since -1 < |r| < 1, the series has a sum

and equals a/(1 - r)       a = -270

S = a/(1 - r) = -270/(1 + 1/2) = -270/(3/2) = -180

1. Determine the lateral and total surface
area of the pyramid.


(I need full explanation on how to solve

Answers

Answer:

Laterial surface area: 73 cm²Total surface area: 93 cm²

Step-by-step explanation:

The laterial surface area is the sum of the areas of the triangles. There are two triangles with dimensions: base = 4 cm, height = 8cm and two triangles with dimensions: base = 5cm, height = 8.2cm.

The laterial surface area LSA is:

LSA = 2 • ( 4.8/2) + 2 • ( 5 • 8.2/2)

LSA = 4 • 8 + 5 • 8.2

LSA = 73 cm²

The total surface area SA is the LSA plus the area of the base of the pyramid, which is a rectangle with dimensions: 4cm x 5cm:

SA = LSA + 4 5

SA = 73 cm + 20 cm²

SA = 93 cm²

The graph of a quadratic function is shown below




Which statement about this graph is not true?

aThe graph has an axis of symmetry at x=-3

bThe graph has a y-intercept at (0,0)

cThe graph has a maximum point at (-3,-3)

dThe graph has an x-intercept at (-6,0)

Answers

Answer:

c, the graph has a maximum point at (-3,-3)

It should be C. If the graph is going down, then it should be called the minimum point not the maximum. I hope this helps. :)

For all values of x,
f(x) = 2x-3 and g(x) = x²+1

a) Find fg(x)
Simplify and give your answer in the form ax² + b

b) Find gf(x)
Simplify and give your answer in the form ax² + bx+c

Answers

Answer:

For f(x) = 2x + 3 and g(x) = -x 2 + 1, find the composite function defined by (f o g)(x)

(f o g)(x) = f(g(x))

= 2 (g(x)) + 3

= 2( -x 2 + 1 ) + 3

= - 2 x 2 + 5 Given f(2) = 3, g(3) = 2, f(3) = 4 and g(2) = 5, evaluate (f o g)(3)

Step-by-step explanation:

A system of liner equation has been graphed in the diagram. Determine a responsible solution for the system of equation.

Answers

The answer is B. Even just looking at the negatives of the other solutions, you can see that it is B because the intersection has a negative x and a positive y.

5) Write the 5 number summary and draw a box and whisker plot.
58, 67, 44, 72,51, 42, 60, 46, 69

Answers

Answer:

Mean: 56.55

Median: 58

Minimum: 42

Maximum: 72

Q1: 45

Q2: 58

Q3: 68

IQR: 23

Range: 30

NO LINKS PLEASE HELP A bag containing 35 marbles has red and green marbles. If the ratio of green marbles to red marbles is 2 to 5, how many green marbles are in the bag
O 25
O 14
21
10

Answers

Let 2x = the number of green marbles
Let 5x = the number of red marbles
2x + 5x =35
7x = 35
x = 5
Green: 2x = 10
Red: 5x = 25

2/5 of 35 is 14.So 14 green marbles.
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