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yuradex [85]
2 years ago
9

Write two word phrases for each expression. t + 23

Mathematics
1 answer:
e-lub [12.9K]2 years ago
8 0

Answer:

a number, t, increased by 23

a number, t, plus 23

Step-by-step explanation:

Have a lovely rest of your day/night, and good luck with your assignments! ♡

 ~ ren ⚘

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Prove :<br>sin²θ + cos²θ = 1<br><br><br>thankyou ~​
Gnom [1K]

Answer:

See below

Step-by-step explanation:

Here we need to prove that ,

\sf\longrightarrow sin^2\theta + cos^2\theta = 1

Imagine a right angled triangle with one of its acute angle as \theta .

  • The side opposite to this angle will be perpendicular .
  • Also we know that ,

\sf\longrightarrow sin\theta =\dfrac{p}{h} \\

\sf\longrightarrow cos\theta =\dfrac{b}{h}

And by Pythagoras theorem ,

\sf\longrightarrow h^2 = p^2+b^2 \dots (i)

Where the symbols have their usual meaning.

Now , taking LHS ,

\sf\longrightarrow sin^2\theta +cos^2\theta

  • Substituting the respective values,

\sf\longrightarrow \bigg(\dfrac{p}{h}\bigg)^2+\bigg(\dfrac{b}{h}\bigg)^2\\

\sf\longrightarrow \dfrac{p^2}{h^2}+\dfrac{b^2}{h^2}\\

\sf\longrightarrow \dfrac{p^2+b^2}{h^2}

  • From equation (i) ,

\sf\longrightarrow\cancel{ \dfrac{h^2}{h^2}}\\

\sf\longrightarrow \bf 1 = RHS

Since LHS = RHS ,

Hence Proved !

I hope this helps.

5 0
2 years ago
Solve each triangle using the information provided. If necessary, round to the<br> nearest tenth.
Goryan [66]

Answer:

1) B = 66.5° c = 10.9

Step-by-step explanation:

I will do question one as an example. In general, for these questions you want to use the appropriate trigonometric ratios to solve for the variables and/or apply logic using rules regarding triangles. See attached image for all solving steps.

For side c, we can use Cosine of angle A for a ratio between 10 and c. When we write out the equation, we can solve for side c. So when we write it out, we get the equation:

cos23.5 = ¹⁰⁄c

c = ¹⁰⁄cos₂₃.₅

c = 10.9044 (make sure to round to the nearest tenth, which is one decimal place)

For angle B, since they have given two angles, you can solve for B since all angles of a triangle add up to 180 degrees.

So b = 180 - (90 + 23.5) = 180 - 113.5

b = 66.5

  • It is also possible to solve this using sine of angle B and solve it from there, but applying the theory this way is much simpler. (this is on the image if you're curious about it)

I hope this helps you with the other 3 questions.

4 0
3 years ago
The volume of a cone is 16 pi cubic inches. Its height is 12 inches. What is the radius of the cone? 2 in. 4 in. 12 in. 16 in.
mart [117]

The radius of cone is 2 inches

<em><u>Solution:</u></em>

<em><u>The volume of cone is given by formula:</u></em>

V = \frac{\pi r^2h}{3}

Where,

"V" is the volume of cone

"r" and "h" are the radius and height of cone respectively

Given that, volume of a cone is 16 pi cubic inches

Its height is 12 inches

Therefore, we get,

V = 16 \pi cubic inches

h = 12 inches

r = ?

<em><u>Substituting the values in formula, we get</u></em>

16 \pi = \frac{ \pi \times r^2 \times 12}{3}\\\\16 = 4r^2\\\\r^2 = 4\\\\r = \pm 2

Since, radius cannot be negative, ignore r = -2

Thus radius of cone is 2 inches

8 0
3 years ago
Read 2 more answers
PLS HELP ME solve the system of equations <br> all I need is to find x,y and z
ale4655 [162]

(x,y,z)=(-4,-2,-5)

I added some images for explanation

7 0
2 years ago
At Priscilla's school, the final grade for her Calculus course is weighted as follows: Tests: 50% Quizzes: 30% Homework: 20% Pri
Sedaia [141]
<h2>Question:</h2>

At Priscilla's school, the final grade for her Calculus course is weighted as follows: Tests: 50% Quizzes: 30% Homework: 20% Priscilla has an average of 87% on her tests, 100% on her quizzes, and 20% on her homework. What is Priscilla's weighted average?

<h2>Work:</h2>

Weighted Average gives weights to each percent of the average as follows:

Weighted Average = Average * weighting percent

Weighted Average = Test Average * Test Weighting + Quiz Average. * Quiz Weighting + Homework Average * Homework Weighting

Weighted Average = 87% * 50% + 100% * 30% + 20% * 20%

Weighted Average = 43.5% + 30% + 4%

Weighted Average = 77.5%

<h2>Answer:</h2>

77.5%

Learn more:

brainly.com/question/26499519

Graphing

brainly.com/question/26479805

Converting fractions into decimals

Thank You!

Answered by: ms115

3 0
2 years ago
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