5. Find the measures of the following. Round to the nearest whole number. (2 points)
a. HT
H
b. 2T
15 cm
C. ZH
W
8 cm
T

5. Find The Measures Of The Following. Round To The Nearest Whole Number. (2 Points)a. HTHb. 2T15 CmC.

Answers

Answer 1

Answer:

HT = 17 cm

<T = 58°

<H = 32°

Step-by-step explanation:

✔️Find HT:

Since it's a right triangle, we would apply the Pythagorean Theorem given as c² = a² + b²

Where,

a = HW = 15 cm

b = WT = 8 cm

c = HT

Plug in the values:

HT² = 15² + 8²

HT² = 289

HT = √289

HT = 17 cm

✔️Find <T by applying trigonometric ratio formula:

Recall: SOH CAH TOA

Reference angle (θ) = <T

HW = 15 cm = Opposite side length

WT = 8 cm = Adjacent side length

Apply CAH:

Cos θ = Adj/Hyp

Substitute

Cos T = 8/15

T = [tex] cos^{-1}(0.5333) [/tex]

T ≈ 58°

✔️Find <H:

Sun of interior angles of a triangle = 180°

Therefore,

m<H + m<T + m<W = 180°

Substitute

m<H + 58° + 90° = 180°

m<H + 148° = 180°

m<H = 180° - 148°

m<H = 32°


Related Questions

Help me with this pls IM FAILING PYTHAGOREAN THEOREM

Answers

Answer: 33

Work Shown:

Apply the pythagorean theorem to get

[tex]a^2 + b^2 = c^2\\\\x^2 + 44^2 = 55^2\\\\x^2 + 1936 = 3025\\\\x^2 = 3025 - 1936\\\\x^2 = 1089\\\\x = 33[/tex]

Need answer asap algebra 2 math

Answers

Answer:

B

Step-by-step explanation:

f(x) = 2x^2 - 4x + 5                   Put brackets around the first 2 terms.

f(x) = (2x^2 - 4x) + 5                 Take out the common factor of 2

f(x) = 2(x^2 - 2x) + 5                 1/2 the second term and square.

f(x) = 2(x^2 -2x + (2/2)^2) + 5   Express brackets as a perfect square.

f(x) = 2(x - 1)^2 + 5                     Multiply 2 * 1 (the term without an x. Subtract.

f(x) = 2(x - 1)^2 + 5 - 2                Combine

f(x) = 2(x - 1)^2 + 3

(t + 1)(t2 + 2t + 4)
find the product.

Answers

Answer:

5+5t

Step-by-step explanation:

The answer you are looking for is t^3+3t^2+6t+4.

Solution:

(t+1)(t^2+2t+4)

t^3+2t^2+4t+t^2+2t+4

t^3+3t^2+6t+4

Does this graph show a function? Explain how you know.
A. No; the graph fails the vertical line test.
• B. No; there are y-values that have more than one x-value.
• C. Yes; the graph passes the vertical line test.
D. Yes; there are no y-values that have more than one x-value.

Answers

Answer:

C. Yes; the graph passes the vertical line test.

Step-by-step explanation:

Reasons the others are wrong:

A. It does pass the vertical line test.

B. Y-values can have any x values. It is x-values that can't have multiple y-values.

D. There are y-values with more than one x-value on this graph so that's just false. Even if it were true, that still doesn't invalidate it due to the reasons given in Answer B.

Sammy and Hannah are finalists in a cooking competition. For the final round, each of them will randomly select a card without replacement that will reveal what their star ingredient must be. Here are the available cards:
Cabbage
Spinach
Kale
Leeks
Carrots
Turnips

Cabbage


Leeks




Spinach


Carrots




Kale


Turnips




Sammy and Hannah both want to get leeks as their star ingredient. Sammy will draw first, followed by Hannah.
What is the probability that NEITHER contestant draws leeks?
Round your answer to two decimal places.

Answers

The probability that neither of them draws the Leeks card is P = 4/6 = 0.667

Here we can assume that all the cards have the same probability of being randomly drawn.

The cards are:

Cabbage Spinach Kale Leeks Carrots Turnips

So we have 6 cards. We want to find the probability that neither contestant draws the "Leeks" card.

Sammy draws first, the probability of drawing the Leeks card will be equal to the quotient between the number of Leeks cards (one) and the total number of cards (6).

Then the probability of drawing the leeks card is p = 1/6

This means that the probability of NOT drawing the leeks card is:

q = 1 - 1/6 = 5/6.

Now draws Hanna, now there are 5 cards in the deck (because one was already drawn). With the same approach as before, the probability of drawing the Leeks card is p = 1/5, then the probability of NOT drawing the card is:

q = 1 - 1/5 = 4/5.

The joint probability (this is, the probability of both of these events to happen together) is just the product of the individual probabilities.

Then the probability that neither of them draws the Leeks card is:

P = (4/5)*(5/6) = 4/6 = 0.667

If you want to learn more about probability, you can read:

https://brainly.com/question/24349426

I need help ASAP!!! FIND THE SEGMENT Please explain how u got the answer

Answers

Answer:

x = 960

Step-by-step explanation:

Using the Altitude- on- Hypotenuse theorem

( leg of large triangle )² = ( part of hypotenuse below it) × ( whole hypotenuse), so

x² = 576 × (576 + 1024) = 576 × 1600 = 921600 ( take square root of both sides )

x = [tex]\sqrt{921600}[/tex] = 960

Categorize the graph as linear increasing, linear decreasing, exponential growth, or exponential decay

Answers

Answer:

D. Exponential growth

Step-by-step explanation:

Hope this helps

Function that is similar to exponential.

Option (A) is correct.

What is exponential decay?

Exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula  [tex]y=a(1-b)^{x}[/tex] wherein y is the final amount, a is the original amount, b is the decay factor, and x is the amount of time that has passed.

We can observe that

First, y increases as x increases

Last it is a function that is similar to exponential.

Function is an exponential decay.

Option (A) is correct.

Find out more information about exponential decay here

https://brainly.com/question/14355665

#SPJ2

Evaluate the expression when x=-6.
x² + 5x-2

Answers

Answer:

Step-by-step explanation:

Hello!

x² + 5x-2

6² + 5*6 -2 =

36 +30 -2 =

66 -2=

64

(-6)^2+5(-6)-2
36-30-2
36-32= 4

Can someone plz help me

Answers

Answer:

37500

Step-by-step explanation:

pattern is multiplying by -5.

-7,500*-5 = 37,500

Have a nice day! :-)

Find the surface areas of each figure. Round your answers to the nearest tenth, if necessary​

Answers

Answer:

345.6 mi^2

Step-by-step explanation:

S.A = 2πrh+2πr^2

= 2π(5)(6) + 2π(5)^2

= 345.6 mi^2

Answered by G a u t h m a t h

Find the missing side of triangle

Answers

Answer:

30.

Step-by-step explanation:

x^2 = 24^2 + 18^2

x^2 = 576 + 324 = 900

x = sqrt900 = 30.

factorise 12x²+15xy. ​

Answers

Answer:

3x(4x+5y)

Step-by-step explanation:

to factorise this equation you have to remove the common terms,or the common factors in this case the common factor for both sides is 3 and the common letter is x

12x²+15xy

3x(4x+5y)

I hope this helps

Planes X and Yand points J, K, L, M, and N are shown.

Exactly how many planes contain points J, K, and N?

X

O 0

O 1

O 2

03

K

Υ

2

.M

.N

Answers

Answer:

0

Step-by-step explanation:

0

Number planes contain points J, K and N is 0. Therefore, option A is the correct answer.

What is a plane?

A plane in geometry is a level surface that never ends. Other names for it include a two-dimensional surface. A plane has an unlimited width, an endless length, zero thickness, and no curvature.

Given that, X and Y are planes.

In the given figure, point J lies outside the X and Y planes.

Points K and N are lies on plane X.

So, J, K and N are not lying in the same plane.

Therefore, option A is the correct answer.

Learn more about the coordinate plane here:

https://brainly.com/question/24134413.

#SPJ7

Please anyoneeeeeeee.....i am almost done just please help me

Answers

Answer:

B. XV and XY

Step-by-step explanation:

you can eliminate the top two options because those aren't rays. XV and XY are the only ones that end in X

the prouduct of any two irrational number is​

Answers

Answer:

mostly rational but sometimes irrational

The product of any two irrational number can be rational or irrational depending on the two numbers.

Can anyone please help?

Answers

Answer:

i don't know

( lol )

heheeeee

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The students in Shawn's class got to choose whether to visit the zoo or the aquarium. 3 students went to the zoo and 15 students went to the aquarium. What is the ratio of the number of students who went to the zoo to the number of students who did not go to the zoo?
A. 1:6
B. 1:1
C. 1:3
D. 1:5

Answers

Answer:

1 : 5

Step-by-step explanation:

3 students zoo

15 students aquarium

zoo : not zoo

3: 15

Divide each side by 3

3/3 : 15/3

1 : 5

Find the length of the third side. If necessary, round to the nearest tenth.
12
13
Answer:
Submit Answer
attempt 1 out of 2
Privacy Policy Terms of Service
PLS HELP ASAP

Answers

Answer:

5

Step-by-step explanation:

Use pythagorean theorem. A^2+B^2=C^2

13 is c because it is the hypotenuse and across from the right angle

a is unknown and b is 12

A^2+12^2=13^2

A^2 +144 = 169

A^2 = 169- 144

A^2= 25

now take the sq root of both side

A = 5

Answer:

17.7

Step-by-step explanation:

Fifthteen of student took a math test. Eight student scored 75, five scored 82 and two scored 95. What was the average of there score

Answers

Answer:

84

Step-by-step explanation:

To find the average of the data or the mean, add 75, 82, and 95 which is 252, then 252 divided by 3 = 84. Hopefully, this helps :)

What describes the correct way to convert minutes to an hour

Answers

Answer:

Yo mean correct way??

yo can divide minute by 60 to convert minute into hour

For example

To convert 10 minute into hour. then we should divide 10 by 60. 10/60

Answer:

In any conversion you have to establish  ratios (or rates) for the different units being converted.

The process will be performed by a series of multiplications that will cancel out the "unwanted" units.

multiplication by one (1) does not change the value in an equation.

you have to multiply by a "series of ones" that take into account the units being converted..

for example  

1 minute/60 seconds   or  1 inch = 2.54 cm   or  1 day = 24 hours

in your problem you have minutes... lets say you have 100 minutes

100 minutes * 1 hour             minutes cancel and you have  100/60 = 1 [tex]\frac{2}{3}[/tex] hrs

                       60 minutes

Step-by-step explanation:

if a = 4 b = 5 find the value of a^2+ab^2+y^2​

Answers

Answer:

121

Step-by-step explanation:

Given,

a = 4

b = 5

a² + ab² + b²

= 4² + 5 x 4² + 5²

= 16 + 80 + 25

= 121

which letter has horizontal not vertical symmetry H, W, Y, E

Answers

The best answer out of all of that is W if I’m right

I thing W,Y is righ am i right.

Divide Rs.45000 among 2 students Mina and Rita in the ratio of marks they got 40 and 50 respectively

Answers

Let

Money share of Mina=40xMoney shae of Rita=50x

ATQ

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow 40x+50x=45000[/tex]

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow 90x=45000[/tex]

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow x=\dfrac{45000}{90}[/tex]

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow x=500[/tex]

Now

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow Rita=50x=50(500)=25000[/tex]

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow Mina=40x=40(500)=20000[/tex]

Find the measure of <3. 90 50 40 130

Answers

Answer:  90 degrees

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

Explanation:

This figure is a kite since we have two pairs of adjacent sides that are congruent, but not all sides are the same length.

One property of kites is that the diagonals are always perpendicular (this applies to rhombuses as well). This means angle 3 is 90 degrees.

The measure of ∠3 is 90°

Because in a kite the diagonals bisects at 90°

Therefore ∠3 is 90°

Answered by Gauthmath must click thanks and mark brainliest

Isabel and Sophia share a bag of 42 sweets. Isabel has 16 sweets. Find the ratio of Sophia's sweets to Isabel's sweets.

Answers

Answer:

ratio of Sophia's sweets to Isabel's sweets is

13:8

Answer:

you first have to find the number of sweets that sophia got.by subtracting the total number of sweets minus the number of sweets that isabel got which will be

42-16=26

therefore the ratio will be

16:26

8:13

I hope this helps

If angle DCA measures 65 degrees, then angle ACB measures _____ degrees.

90
25
65

Answers

DCB form a right angle which is 90 degrees.

The two inside angles need to equal 90

ACB = 90-65 = 25

Answer: 25

Answer:

25

Step-by-step explanation:

its correct

1. The mayor of the city of Cleveland wants to increase taxes in order to invest in a light-rail transit system. She hires a polling agency to randomly
select 750 registered voters in the city to survey in order to determine the maximum percentage increase in municipal taxes that they would
approve. What is the population in this survey and the population parameter?
All American citizens and the maximum percentage increase in taxes
750 registered voters in Cleveland and the average light-rail transit cost per mile
O All registered voters in Cleveland and the maximum percentage increase in taxes
O Citizens over 65 years of age in Cleveland and the 750 registered voters

Answers

Answer:

All registered voters in Cleveland and the maximum percentage increase in taxes

Please help me to solve this question as soon as possible. Thank you
1.6 is a common factor of 36 and y. Find the possible value of y.
A. 25
B. 48
C.57
D. 81

Answers

Answer:

the answer is B

Step-by-step explanation:

because only 48 is dividable by 6

Explain how to solve the equation
.
b – 7 = 12

Answers

Answer:

19

Step-by-step explanation:

Add 7 onto 12 to find answer.

Answer:

b = 19

Step-by-step explanation:

b = 12 + 7

Simplify 12+7 to 19.

mp rs 700 and sp rs 524 find discount step by step.

Answers

Cost price=CP=700Sold price=SP=524

[tex]\boxed{\sf Discount=CP-SP}[/tex]

[tex]\\ \sf\longmapsto Discount=700-524[/tex]

[tex]\\ \sf\longmapsto Discount=176[/tex]

Answer:

cost price(cp)=rs.700

sold price(sp)=rs.524

discount =cp-sp

discount =700-524

discount =rs.176

Other Questions
*WHO CAN SOLVE THIS RIDDLE?**I am an eight (12345678)letter word,every body keep me a secret, my 234 is a name of an animal,my 45678 is a dangerous weapon,ladies cannot do without my 128,communication can not be established without my 5678,you need my 1234 to be a good student.what am I?* Circles in the Coordinate PlaneAcellusComplete the equation of this circle:A1 Why are road accidents at high speeds very much worse than road accidents at low speeds? In two or three paragraphs, analyze the structure of The Way to Rainy Mountain and show how the structure affects the impact of that book. How did the same structure affect your project's impact? 32% of 300 is what number? c) The GCF and LCM of two numbers are 2 and 70 respectively. If one of the numbers is 10, find the other number? [3m] solution: of too numbers 39 3,822 Whats the answer can anyone help me to explain theory of relativity??? Needed in 2 minutes ASAP A solution is made by dissolving 5.84 grams of NaCl in enough distilled water to give a final volume of 1.00 L. What is the molarity of the solutionGroup of answer choices0.0250 M0.400 M0.100 M1.00 M A consumer's weekly income is $250, and the consumer buys 12 bars of chocolate per week. When weekly income increases to $280, the consumer buys 13 bars per week. The income elasticity of demand for chocolate by this consumer is about the gap between 'where we are now' and 'where we want to be' is known as the..... After school, Carlos helps his mom at her cake shop, Love and Lace Cakes. Today, he is helping her bake a 3-layer wedding cake. Each layer will be 2 1/2 inches tall and shaped like a rectangular prism. The bottom layer will be 12 inches long and 10 inches wide. The middle layer will be 10 inches long and 8 inches wide. The top layer will be 8 inches long and 6 inches wide. What will the total volume of the wedding cake be?PLZ HURRY WILL MARK BRAINLIEST HELP PLSSS. Combine these radicals. - 12sqrt(12) - 2sqrt(3) O - 50sqrt(3); - 22sqrt(3); - 26sqrt(3); - 10sqrt(12) Ways that fans can use their social media effectively to support their idols or celebrities. Short essay eventos de la cultura chavin simplify (b^4)^3 because the nun of the answers answer my question THIS IS AN ECONOMICS QUESTIONWhat are the two characteristics of public goods? Explain the significance of each for public provision as opposed to private provision of these goods. Using these ideas explain why the US Border patrol is supplied by the public sector while satellite TV is provided by the private sector. hi!can u help me plz asapplz plzi will give brainliest u what is standard unit? why is it necessary.