In the diagram below, if the measure of < C = 45°, and side AB = 16, then side AC =

Select one:
a. 8
b. 32
c. 16/2
d. 16

In The Diagram Below, If The Measure Of &lt; C = 45, And Side AB = 16, Then Side AC =Select One:a. 8b.

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{16}{AC}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

AC = 16[tex]\sqrt{2}[/tex] → C

Answer 2

The measure of the side of a triangle AC is [tex]16\sqrt{2}[/tex] cm.

Given that, ∠45° and AB=16 cm.

We need to find the measure of side AC.

How do use trigonometric ratios to find the measure of the sides of a triangle?

There are three steps:

Choose which trigonometric ratio to use. Choose either sin, cos, or tan by determining which side you know and which side you are looking for.Substitute your information into the trigonometric ratio.Solve the resulting equation to find the length of the side.

Now, [tex]sin \ C=\frac{AB}{AC}[/tex] (∵ sinα=Opposite/Hypotenuse)

[tex]sin 45^{o} =\frac{16}{AC} \\[/tex]

[tex]\implies \frac{1}{\sqrt{2} } =\frac{16}{AC}[/tex]

[tex]\implies AC=16\sqrt{2}[/tex] cm

Therefore, the measure of the side of a triangle AC is [tex]16\sqrt{2}[/tex] cm.

To learn more about trigonometric ratios visit:

https://brainly.com/question/14746686.

#SPJ2


Related Questions

The polygons in each pair are similar. Find the missing side length

Answers

Answer:

24 is the answer because 18/3=6 6x4 is 24

The temperature fell from 0 Degrees Fahrenheit to 15 and one-half Degrees Fahrenheit below 0 in 5 and three-fourths hours. Wen tried to find the change in temperature per hour. Her work is shown below.

Answers

Answer:

Step-by-step explanation:

I don't see Wen's work, but I'll show you mine!

We can create a set of coordinates for each of these sets of data, where x is the time in hours, and y is the number of degrees in Fahrenheit.

At time 0, the temp is 0: (0, 0)

5.75 hours late, the temp is -15.5: (5.75, -15.5)

We can find the change in temp per hour by using the slope formula, since slope is, after all, the rate at which something is changing.

[tex]m=\frac{-15.5-0}{5.75-0}=\frac{-15.5}{5.75}=-2.7[/tex] That is rounded to the tenths place from -2.695652174 so you can round it however you need. What the interpretation of this number is is that temp is falling at a rate of 2.7 degrees F per hour.

Answer:

- 2 16/23 degrees / hr

Step-by-step explanation:

15 1/2 = 31/2

5 3/4 = 23/4

31/2 ÷ 23/4 =

31/2 ×  4/23 =  124/46 = 62/23 = 2 16/23

Aplica el método de eliminación Gaussiana

Answers

Hello,

Here are the solution in excel files

par la méthode de Gauss

Please help me with this, i need help

Answers

Answer:

woa

i  n

Step-by-step explanation:

Which pair of angles are corresponding angles?

Answers

Answer:

angles 3&7

Step-by-step explanation:

C and D are complementary angles. Which of the following measures cannot be true
Om C= 30° and m D = 60°
Om C= 60° and m2D = 30°
Om C= 65° and m D = 35°
Om C = 55° and m D = 35°

Answers

Answer:

C= 65° and m D = 35°

this cannot be true

Step-by-step explanation:

a complementary angle adds up to 90°

65°+35°=100

90° =/= 100°

What’s the rate of change in this question y=0.860x+3.302

Answers

Answer:

The equation is in a linear form, which means its in y=mx + b

M is the slope.

Slope is a fancy word for rate of change.

Therefore, the slope/rate of change is...

.860

The function f(x) = One-sixth (two-fifths) Superscript x is reflected across the y-axis to create the function g(x). Which ordered pair is on g(x)?

Answers

Answer:

[tex](-3,4/375)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{1}{6}(\frac{2}{5})^x[/tex]

Reflection: Across y-axis

Required

The ordered pair on g(x)

The rule of reflection across y-axis is:

[tex](x,y) = (-x,y)[/tex]

So, we have:

[tex]g(x) = f(-x)[/tex]

f(-x) is:

[tex]f(-x) = \frac{1}{6}(\frac{2}{5})^{-x[/tex]

Recall that:

[tex]g(x) = f(-x)[/tex]

Hence:

[tex]g(x) = \frac{1}{6}(\frac{2}{5})^{-x[/tex]

From the options (missing in the question), the ordered pair is:

[tex](-3,4/375)[/tex]

To check this, we have:

[tex]g(x) = \frac{1}{6}(\frac{2}{5})^{-x[/tex]

[tex]g(-3) = \frac{1}{6}(\frac{2}{5})^{--3[/tex]

[tex]g(-3) = \frac{1}{6}(\frac{2}{5})^{3[/tex]

Expand

[tex]g(-3) = \frac{1}{6}(\frac{8}{125})[/tex]

Simplify

[tex]g(-3) = \frac{1}{3}(\frac{4}{125})[/tex]

Open bracket

[tex]g(-3) = \frac{4}{375}[/tex]

18. Mario rented a raft from River Rafter's Inc. He paid $100 to rent and
$25 for every hour. Carlos rented a raft from Oscar's Outdoor Shop. He
paid $50 to rent and $35 per hour. For what number of hours will both
rafting companies charge the same amount?
0
4
5
010

Answers

Answer:

5 hours

Step-by-step explanation:

The charge will be the same when what they pay is equal

100 + 25*number of hours = 50 +35 * number of hours

let number of hours =h

100 + 25h = 50 + 35h, subtract 25 h, and subtract 50 from both sides

100-50 = 35h -25h, combine like terms

50 = 10h , divide by 10 both sides

5 = h , in 5 hours the companies will charge the same amount

what is the measure of m?

Answers

Answer:

[tex]n^{2} +18^{2} =x^{2}[/tex]

[tex]6^{2} +x^{2} =m^{2}[/tex]

[tex]6^{2} +18^{2} +n^{2} =m^{2}[/tex]

[tex]m^{2} =n^{2} +360[/tex]

[tex]n^{2} +36=m^{2}[/tex]

[tex]m=15[/tex]

OAmalOHopeO

two sides of a triangle have lengths 7 and 17. find the range of possible length for the third side

Answers

by using Pythagoras theorem c2= a2 + b2

so let's say c= 17 and a= 7, let's calculate for b

(17)^2 = (7)^2 + b2

289= 49+b2

289 - 49 = b2

240 =b2

√249 = b

b = 15 . 49

find the area of this shape
Please help me asap

Answers

Answer:

(1/2×6×8)+(π×4^2/2)

=49.12 ft^2

☆○☆○☆○☆○☆○

Hope it helps..

Have a great day!!!

Wait sorry ignore this I'm still getting used to brainly and I did the question wrong sorry

I don't understand this help me : )

Answers

Answer:

Alternate interior angles theorem

Step-by-step explanation:

Hope it helps you in your learning process.

what is 6^20 / 6^15? please include explanation :)

Answers

Answer:

6^5

Step-by-step explanation:

We know that a^b /a^c = a^(b-c)

6^20 / 6^15

6^(20-15)

6^5

What is the area of the parallelogram represented by the vertices A(-6, -1), B(-2, -1), C(-1, -4) and D(-5, -4)?

Answers

Answer: 12 units²

Step-by-step explanation:

To find the area of a parallelogram, we use the formula A=l×w. To find the length and width, let's graph out the parallelogram to get a better view. Let's refer to the picture attached to see what the graph looks like. The length is 4 units while the width is 3 units. Therefore we multiply.

A=4×3=12 units²

Now, we know the area is 12 units².

Help Now Pleaseee!!!!
Find the volume of the sphere

Answers

Answer:

7235 using 3.14 for pi

7238 using the pi button

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

V = 4/3 pi (12)^3

V = 2304pi

Letting pi = 3.14

V = 7234.56 and rounding to a whole number

V = 7235

Using the pi button

V =7238.22947 and rounding to a whole number

V = 7238

Answer: 7238

Step-by-step explanation:

The formula used is 4/3πr³

Now let's substitute the radius: 12

4/3πr³

=4/3×π×12³

=4/3×π×1728

=7238.22947

but since we are rounding it to the nearest whole number the answer would be 7238


What is the slope of a segment whose endpoints are labeled (-2a, 0) and (0, -2b)?

Answers

Answer:

Step-by-step explanation:

use the slope formula Faith,  

point P1 (-2a,0)  in the form (x1,y1)

point P2(0,-2b)  in the form (x2,y2)

slope = m

m = (y2-y1) / (x2-x1)

m = (-2b - 0 ) / (0-(-2a))

m = -2b  / 2a

m = - b/a

they are trying to confuse  you with the  "a" and "b" variables in the problem, but just use the rules you know to solve what you can :)

Find the volume of this square based pyramid. 3 cm 2 cm 2 cm. V = ? cm3.

I put V = 1/3 x 2 x 3. V = 2.

What did I do wrong?

Answers

The volume of square based pyramid is 4cm³.

What is Square Pyramid ?

A square pyramid is a pyramid, in geometry, that has a square base and four lateral faces.

How to find the volume of Square Pyramid ?

To find the volume of a pyramid, we multiply the area of its base with the height of the pyramid, and divide by 3.

V=1/ 3×B²×h

where B is the area of the base of the pyramid, and h is its height.

Now in the question,

b = 2cm; h = 3cm

Volume = (1/3 x 2x2x3)cm³

= (1x2x2)cm³

= 4cm³

Therefore, the volume of square based pyramid is 4cm³

To learn more about volumes, visit :-

brainly.com/question/1578538

#SPJ1

V(X+8)=x-4

Solve.
Radical equations and inequalities edge test is so hard smh

Answers

Answer:

x = V(X + 8) + 4

Step-by-step explanation:

Switch sides

x - 4 = V(X + 8\)

Add\ 4 to both sides

x - 4 + 4 = V(X + 8\) + 4

Simplify

x = V(X + 8) + 4

Can someone help please and thank you

Answers

Answer:

b

Step-by-step explanation:

The ages of 20 school children are recorded as follows:. 13 19 15 17 13 9 11 9 11 15 17 15 11 9 9 11 15 11 11 11. a. Make a frequency for the data b. What is the modal age c. Calculate. i) The mean age correct to the nearest whole number. ii) The range. d. What is the probability of selecting a child between the ages of 12 and 14​

Answers

Answer:

The modal age is 11

The range is the highest minus the Lowe's which is 19-9=10

SOMEONE PLEASE HELP!!!!!!!!!!!!!

Answers

Answer:

x = 25.2

Step-by-step explanation:

[tex]\frac{5}{18} =\frac{7}{x}[/tex]

5x = 126

x = 25.2

13. What is the missing mumber in the input-output table below?
Input
3
5
?
17
Output
16
22
31
58
A. 8
C. 11
B. 9
D. 14

Answers

Answer:

Hello,

Answer A

Step-by-step explanation:

Since there are 4 inputs and 3 are known

we shell try a function like y=ax²+bx+c

So we have to resolve the system

[tex]\left \{\begin{array}{cccc}9a+3b+c&=&16\\25a+5b+c&=&22\\289a+17b+c&=&58\\\end{array}\right.\\\\\\\left \{\begin{array}{cccc}a&=&0\\b&=&3\\c&=&7\\\end{array}\right.\\\\[/tex]

We have to try:

0*x²+3*x+7=31

3x=24

x=8

What is the image point of (-8,9) after the transformation ry=-x
O
R90°?

Answers

Answer:

I believe it is (-8,-9)

Step-by-step explanation:

I plugged the line into desmos then did the rotation

If f(x) = 4x2 and g(x) = x+1, find (f•g)(x)
A. 4x3+4x2
B. 4x(x)
C. 4X2 + 1
D. 4(x + 1)

Answers

Answer:

4x^3+4x^2

Step-by-step explanation:

f(x) = 4x^2

g(x) = x+1

(f•g)(x) = (4x^2) *(x+1) = 4x^3+4x^2

linesl,mand n are parallel to each other and p is a transversal​

Answers

Answer:  126 degrees

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

Explanation:

Since L and M are parallel lines, this means x+y = 180 due to the same side interior angles theorem. Some books refer to these angles as consecutive interior angles.

If x+y = 180, then y = 180-x.

Plug this into the equation your teacher gave you

x/y = 3/7

x/(180-x) = 3/7

7x = 3(180-x) ... cross multiply

7x = 540 - 3x

7x+3x = 540

10x = 540

x = 540/10

x = 54

Use this to find y

y = 180-x

y = 180-54

y = 126

Then notice how x/y = 54/126 = 3/7, which helps confirm we have the correct x and y values.

Divide both parts of the first fraction by 18 to fully reduce.

Now because angles y and z are alternate exterior angles, this must mean z = y = 126 degrees

if a(b+c)=d and a, b, c and d are all integer, then which of the following must be true?
A. ab+c=d
B. ab+ac=d
C. a(b+c)>10
D. ab

Answers

Answer:

B. ab+ac=d

Step-by-step explanation:

Answer:

ab + ac = d

Step-by-step explanation:

a(b+c)=d

Distribute the a

ab + ac = d

In order for the parallelogram to be a rhombus, x=? (7x+13)º

Answers

Answer:

x = 11

Step-by-step explanation:

The diagonals of a rhombus are perpendicular meaning that they create 90 degree angles

If they create 90 degree angles then 7x + 13 = 90

( Note that we've just created an equation that we can use to solve for x )

We now solve for x algebraically using the equation we created

7x + 13 = 90

Step 1 Subtract 13 from both sides

7x = 77

Divide both sides by 7

x = 11


Suppose you had d dollars in your bank account. You spent $22 but have at least $28 left. How much money did you have initially? Write and solve an inequality that
represents this situation.

a.) d-22 28; d 50

b.) d - 22 > 28; d > 50

c.) d + 22 s 28; d s 72

d.) d + 22 28; d 272

Answers

Your answer she be letter b

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

d – 22 ≥ 28

d ≥ 50  

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Information Given:}}\\\\d - \text{Initial amount of money}\\\\\text{22 dollars was spent, and there are 'at least' 28 dollars left.}[/tex]

⸻⸻⸻⸻[tex]\boxed{\text{Setting up an inequality:}}\\\\\text{22 dollars was spent from the initial amount, 'd'.}\\\\d - 22\\\\\text{There are \textbf{at least} 28 dollars left. "At least" indicates a \underline{greater than or equal to} sign.}\\\\\rightarrow \boxed{d-22\geq 28}[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Solving the inequality:}}\\\\d - 22\geq 28\\-------------\\\rightarrow d - 22 + 22 \geq 28 + 22\\\\\rightarrow \boxed{d \geq 50}[/tex]

⸻⸻⸻⸻

[tex]\text{Your answer should be: }\boxed{d-22\geq 28; \text{ }d \geq 50}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««

Hope this helps you. I apologize if it’s incorrect.  

 

HELP pythagorean identity

Answers

Answer:

sin x

Step-by-step explanation:

sin ^2  x + sin x + cos ^ x -1

sin ^2  x + cos ^ x   + sin x-1

We know that sin^2 x + cos ^2 x = 1

1 + sin x -1

sin x

Hi!

[tex]\sin^2x+\sin x+\cos^2 x-1=\\\\=\underline{\sin^2x+\cos^2x}+\sin x-1=\\\\=1+\sin x-1=\boxed{\sin x}[/tex]

Other Questions
find the exact value of tan -75 Write a program that opens the salesdat.txt file and processes it contents. The program should display the following per store: The total sales for each week. (Should print 5 values - one for each week). The average daily sales for each week. (Should print 5 values - one for each week).The total sales for all the weeks. (Should print 1 value)The average weekly sales. (Should print 1 value)The week with the highest amount in sales. (Should print 1 week #)The week with the lowest amount in sales. (Should print 1 week #)The file contains the dollars amount of sales that a retail store made each day for a number of weeks. Each line in the file contains thirty five numbers, which are sales numbers for five weeks. The number are separated by space. Each line in the file represents a separate store.//FileIO.javaimport java.io.BufferedReader;import java.io.FileReader;import java.io.IOException;public class FileIO { //Franchise readData(String filename) public static void main(String[] args) { try { FileReader file = new FileReader("Salesdat.txt"); BufferedReader buff = new BufferedReader(file); boolean eof = false; while (!eof) { String line = buff.readLine(); if (line == null) eof = true; else System.out.println(line); } buff.close(); } catch (IOException e) { System.out.println("Error -- " + e.toString()); } }}//Store.javapublic class Store { private float salesbyweek[][]; Store() { salesbyweek = new float[5][7]; } //getter and setters //setsaleforweekdayintersection(int week, int day, float sale) public void setsaleforweekdayintersection(int week, int day, float sale){ salesbyweek[week][day]=sale; } //float [] getsalesforentireweek(int week) //float getsaleforweekdayintersection(int week, int day) //businessmethod //a. totalsalesforweek //b. avgsalesforweek //c. totalsalesforallweeks //d. averageweeklysales //e. weekwithhighestsaleamt //f. weekwithlowestsaleamt //analyzeresults //call a through f //print()}//Franchise.javapublic class Franchise { private Store stores[]; public Franchise(int num) { stores = new Store[num]; } public Store getStores(int i) { return stores[i]; } public void setStores(Store stores, int i) { this.stores[i] = stores; } }//Driver.javapublic class Driver { public static void main(String[] args) { }} What kind of development is essential for your country? Write in six points. Write the expression as a single function of alpha. cos(180-alpha) Most executive information systems include a _____, which integrates information from multiple sources and presents it in a unified, understandable format, often as charts and graphs.a. digital dashboardb. decision support system databasec. model based. decision support system engine How do you know if a radical can be simplified? Explain. Read each the sentence carefully. If a comma is needed, rewrite (type) the sentence and addthe comma in the correct spot. If the sentence is correct, write correct.Before leaving class the student checked his bag for books. Write in point-slope form, slope-intercept form, and standard form an equation that passes through (-1,2) with slope 4. The diameter of a circle is inches what is the area? Create a system of linear equations with one solution. In your final answer, include the system of equations and the graphs of the lines. If the exchange rate for Canadian and U.S. dollars is 0.92777 to 1, this implies that 13 Canadian dollars will buy ____ worth of U.S. dollars. (Select the nearest answer.) Zack was injured in a mining accident and suffered brain damage. In time his brain healed and he was able to go back to work. The only noticeable consequence from the accident was his personality. Zach went from a mild-mannered and calm man to a highly aggressive and temperamental individual. Given this information, the region of the cerebral cortex that was most likely damaged in the accident was the _______ lobe. Imagine using brainly LOL COULDNT BE ME XD Complete with correct pronoun.Peter and I are brothers. ..........share the same bedroom together. You need to solve a system of equations. You decide to use the elimination method. Which of these is not allowed? 2x - 3y = 12 -x + 2y = 13 O A. Multiply the left side of equation 2 by 2. Then subtract the result from equation 1. O B. Multiply equation 1 by 2 and equation 2 by 3. Then add the new equations. C. Multiply equation 2 by-2. Then add the result to equation 1. Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. x=tcost, y=tsint, t= What is the area of a triangle with a base of 9 units and a height of 7 units? O A. 15.75 sq. units O B. 126 sq. units O c. 63 sq. units O D. 31.5 sq. units SUBMIT PREVIOUS Please help me with this.. and tell correct answer.. Please help!! I have no idea how to do this Paper Company receives a $4,598, three-month, 3% promissory note from Dame Company in settlement of an open accounts receivable. What entry will Paper Company make upon receiving the note