In ΔABC, the measure of ∠C=90°, BA = 41, CB = 40, and AC = 9. What ratio represents the cosine of ∠B?

Answers

Answer 1

Answer:

40/41

Step-by-step explanation:

From the given diagram;

BA is the hypotenuse = 41

AC is the opposite = 9

CB is the adjacent = 40

Cos<B = adjaccent/hyp

Cos<B = CB/BA

Cos<B = 40/41

Hence the required ratio is 40/41


Related Questions

How do i use composition and decomposition to determine the area of a polygon?

Answers

Answer: Decompose means the opposite, to take apart

Step-by-step explanation: In this lesson, the words composition and decomposition are used to describe how irregular figures can be separated into triangles and other polygons. The area of these parts can then be added together to calculate the area of the whole figure.

Fill in the missing monomial (please answer fast a lot of points) 49y^4x^6=(___)^2

Answers

Answer:

[tex](7y^2x^3)^2[/tex]

Step-by-step explanation:

Find the GCF then factor out all the numbers

complete the inequality for this graph acellus

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Answer:

[tex]y < x + 1[/tex]

Step-by-step explanation:

ùr ãñswer høpe it helps you...

Help me with this math problem please!

Answers

Answer:

1. 1.5 inches

2. 1 inch

3. 1.75 inches

4. 1.25 inches

5. 2 inches

Step-by-step explanation:

im guessing that you're asking what each place is.

If you start with $1000 and invest it in account that pays 3% interest compounded once a year. How much
money will you have in 10 years? (Show your equation)

Answers

Answer:

[tex]A = P(1 + \frac{r}{n} )^{nt}\\\\P = 1000\\r = 3\% = \frac{3}{00} = 0.03\\n = 1\\t = 10\\\\A = 1000( 1 + \frac{0.03}{1} )^{10}= 1000(1.03)^{10} =\$1343.92[/tex]

After that incident, the Civil defense team decided to buy new trucks with ladders higher than 100 feet. They found 2 different trucks with same height of ladders. The first truck costs $145,000 and will cost $0.31 per mile traveled based on the current gas prices. The second truck will cost $160,000 but gets better gas mileage, costing $0.27 per mile. They need to decide which truck is the best deal.

Answers

Answer:

the first truck

Step-by-step explanation:

the cost difference between the first truck and the second truck = $160,000-$145,000 = $15,000

the difference of gas cost between the first truck and the second truck = $0.31 - $0.26= $0.05 per mile.

so,

I think, this is a very significant number of truck cost compared with gas cost

for the best deal, the first truck is the best choice.

What is the length of the hypotenuse?

Answers

Answer:

h=15feet.

Step-by-step explanation:

using Pythagoras theorem

h²=p²+b²

h²=12²+9²h²=144+81h=√225h=15feet.

hope it helps.

stay safe healthy and happy.

[tex]\huge\bold{To\:find:}[/tex]

The length of the hypotenuse.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\sf\purple{The\:length\:of\:the\:hypotenuse \:"c"\:is\:15\:feet.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Using Pythagoras theorem, we have

[tex]( {perpendicular})^{2} + ( {base})^{2} = ( {hypotenuse})^{2} \\⇢  ({12 \: ft})^{2} + ( {9 \: ft})^{2} = {c}^{2} \\ ⇢ 144 \: {ft}^{2} + 81 \: {ft}^{2} = {c}^{2} \\ ⇢ 225 \: {ft}^{2} = {c}^{2} \\ ⇢  \sqrt{225 \: {ft}^{2} } = c \\ ⇢  \sqrt{15 \times 15 \: {ft}^{2} } = c \\ ⇢ 15 \: ft = c[/tex]

[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:hypotenuse\:is\:15\:feet.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex]( {12 \: ft})^{2} + ( {9 \: ft})^{2} = ( {15 \: ft})^{2} \\⇝144 \: {ft}^{2} + 81 \: {ft}^{2} = 225 \: {ft}^{2} \\ ⇝225 \: {ft}^{2} = 225 \: {ft}^{2} \\ ⇝L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Jan spent 3 3/4 hours doing homework last week. She spent
5 1/4 hours doing homework this week. How many more
hours did Jan spend on homework this week than last
week?

Answers

Answer:

6/4

Step-by-step explanation:

Answer:

Exact Form:

3/2

Decimal Form:

1.5

Mixed Number Form:

1 1/2

Step-by-step explanation:

what is the probility of tossing talls twice

Answers

hdhdiduwhshuxjfjdksoosoxod

PLEASE I NEED HELP I DONT UNDERSTAND HOW TO DO ILL GIVW MORE IF RIGHT

Answers

Answer: Choice D

[tex]\frac{9\sqrt{2}}{2}[/tex]

=============================================

Explanation:

We have a 45-45-90 triangle. If x is the leg length, then y = x*sqrt(2) is the hypotenuse.

Solving for y gets us [tex]x= \frac{y}{\sqrt{2}} = \frac{y\sqrt{2}}{2}[/tex]

In this case, y = 9 is the hypotenuse which then leads to choice D.

------------

Another way to find the answer is to use the pythagorean theorem

a = x and b = x are the two congruent legs

c = 9 is the hypotenuse

Solving a^2+b^2 = c^2, aka x^2+x^2 = 9^2, will lead to [tex]x = \frac{9\sqrt{2}}{2}[/tex]

When multiplying fractions we don’t have to worry about finding (blank) why?
SOMEONE HELP PLEASEEEEEEEE

Answers

Answer:

a common denominator

Step-by-step explanation:

I can confirm that answer

x^2+21x+1=5x+4
solve by completing the square show all work
(will give brainliest)

Answers

Answer:

x = 0.1854 and x = -16.1854

Step-by-step explanation:

refer to photo

PLZZZZZZZZZZZZZ HELPPPPPPPPP

Answers

Answer:

Given, Distributive property, Subtraction Property, Division Property, Prove

Step-by-step explanation:

This is what I think the answer is. So if the answer is wrong than I don't know

Mr. Cota’s family bought 4 sandwiches and 3 salads. They spent $45.50. Write an equation that represents this situation. Let x be the cost of a sandwich and y be the cost of a salad.

Answers

45.50=4x+3y is the correct answer

hey! i’ll give brainliest please help

Answers

Answer:

It would be "a sentence that includes two independent clauses connected by a conjunction" which is Choice B.

Choice A wouldn't work as there needs to be two or more independent clauses for it to be a Compound Sentence.

Choice B would work, as it follows the definition of a Compound Sentence.

Choice C wouldn't work, that would be a Complex Sentence

Choice D wouldn't, that would be a Simple Sentence.

Also, note that this question is something for the Language Arts section.

Answer:

B. A sentence that includes two independent clauses connected by a conjunction.

Step-by-step explanation:

Compound sentences can make your writing very rich as you can connect two distinct independent clauses (no dependent clauses) using coordinating conjunctions such as for, and, nor etc (FANBOYS).

Example would be:

Juan likes to hunt, and he is going hunting on Sunday.

"Juan likes to hunt" is an independent clause where "Juan" is the subject, "likes" is the action, and a complete thought is expressed because we know what he likes to do now.

"He is going hunting on Sunday" is an independent clause where "He" is the subject, "is going" is the action, and a complete thought is expressed as we now know where he is going Sunday and what action he is doing.

The conjunction "and" is used, and a comma is correctly placed before "and."

Help me please thank you for

Answers

Answer:

I don't know

Step-by-step explanation:

Sorry

Answer:

Just at a glance I'm pretty sure it would be B.

Which of the following expressions is equal to squared +25? O A. (x+5012 O B. (x-50 O C. (x + 10 (x-151) O D. (X - 5)(x+51)​

Answers

Answer:

(x-5i)(x+5i)

Step-by-step explanation:

Given the expression

(x-5i)²

Expand

(x-5i)(x+5i)

= x² - 5ix + 5ix - 25i²

= x² - 25i²

Since i² = -1, hence;

(x-5i)(x+5i) = x² - 25(-1)

(x-5i)(x+5i) = x² + 25

Hence the required expression is (x-5i)(x+5i)

Which statement about human activity and the environment is NOT true?
1 point
Humans knowingly create environmental disasters.
Humans affect ecosystems in many ways.
Humans can create solutions to disasters.
Humans have altered ecosystems for a long time. WHICH ONE IS IT

Answers

Humans knowingly create environmental disasters.

Step-by-step explanation:

pls help

In Miss McGee's homeroom, there are 5 blonds, 9 brunettes, 2 redheads, and 2 students with black hair. If Miss McGee chose a student at random, what is the probability that the student would be a red head

Answers

Answer:

2/18 or if needed simplified 1/9. count all the people you get 18 the red head is 2.

Answer:

2 out of 18

Step-by-step explanation:

5+2+2+9= 18     redheads = 2

READ THE IMAGE WILL GIVE BRIANLIENSTAINERSTALIN
Question 5 options:

9


5


3


12

Answers

please mark brainliest

Which of the following lines is parallel to the line that passes through (-1, -3) and (5,0)?

Answers

I think the answer is B

Please solve with explanation

Answers

Answer:

Rewrite the equation as 28a^4+ma^3−19a^2−2a+3=(7a^2+2a−3)(4a^2−1).

28a^4+ma^3−19a^2−2a+3=(7a^2+2a−3)(4a^2−1)

Simplify (7a^2+2a−3)(4a^2−1).

28a^4+ma^3−19a^2−2a+3=28a^4−19a^2+8a^3−2a+3

Move all terms not containing m to the right side of the equation.

ma^3=8a^3

Divide each term by a3 and simplify.

m=8

Step-by-step explanation:

Hope to help you

It was 7 °F outside. The temperature dropped 16º.
How cold did it get?
A. -23 °F
B. -16 °F
C. -9°F
D. 9°F
E. 23 °F

Answers

The answer would be C.



Arturo is making an appetizer for a dinner party. The recipe calls for 3 cloves of garlic for 7 servings. There are 50 people attending the dinner party, approximately how many cloves of garlic will Arturo need? (Round to the nearest whole number) *

Answers

Answer:

21.42 cloves of garlic

Step-by-step explanation:

50 ÷ 7 = 7.14

7.14 x 3 = 21.42

The answer is 21.24 cloves or garlic!!

PLS HELP WILL GIVE BRAINLIEST( IN PIC)

Answers

Answer:

hahahahahhahahahahahahah

NEED ASAP URGENT
Which similarity statement expresses the relationship between the two triangles?

triagleZYX- triangleCAB

triangleZYX-triangleACB

triangleZYX-triangleCBA

triangleZYX - triangleABC

Answers

Given:

The figure of two triangles.

To find:

The similarity statement for the given triangles.

Solution:

The corresponding sides of similar triangles are proportional.

In the given triangles,

[tex]\dfrac{XY}{AB}=\dfrac{6}{12}[/tex]

[tex]\dfrac{XY}{AB}=0.5[/tex]

Similarly,

[tex]\dfrac{YZ}{BC}=\dfrac{3}{6}[/tex]

[tex]\dfrac{YZ}{BC}=0.5[/tex]

And,

[tex]\dfrac{XZ}{AC}=\dfrac{7}{14}[/tex]

[tex]\dfrac{XZ}{AC}=0.5[/tex]

Since [tex]\dfrac{XY}{AB}=\dfrac{YZ}{BC}=\dfrac{XZ}{AC}[/tex], therefore

[tex]\Delta XYZ\sim \Delta ABC[/tex]

It can be written as:

[tex]\Delta ZYX\sim \Delta CBA[/tex]

Therefore, the correct option is A.

Matthew worked a summer job and saved $900 each
summer for the last 4 years. He also has been awarded a
grant in the amount of $5,000 and he received $3,000 in
scholarships. He estimated the first year of college to cost
$13,000. If he uses his savings, the grant, and his
scholarship, how much more will he need to pay for the
first year of college?

Answers

Answer:

1400

Step-by-step explanation:

hope that helps <3

What is the length of the hypotenuse?

Answers

Answer:

15 feet

Step-by-step explanation:

It’s 15ft I hope this helps

help please with this question​

Answers

Answer: 70ft

Step-by-step explanation:

ht= (-3)^2 + 15(3) + 16

ht= 9 + 45 + 16

ht= 70

70 ft. Hope it helps!

need help with finding measurement for the cylinder

Answers

Answer:

3

Step-by-step explanation:

[tex]\pi V = \pi r^{2} h\\75\pi = \pi 5^{2} h\\75\pi =25\pi *h\\h = 3[/tex]

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