Mathematics College

Does anybody know how to solve this?​

Does Anybody Know How To Solve This?

Answers

Answer 1

Answer:

[tex]AD = 403.75[/tex]

[tex]CD = 115.70[/tex]

[tex]BD = 294.93[/tex]

Step-by-step explanation:

Given

The above triangle

Solving (a): AD

To solve AD, we consider triangle ACD.

Using cosine formula:

[tex]cos(\angle A) = \frac{AD}{AC}[/tex]

Where:

[tex]\angle A =16[/tex]

[tex]AC = 420[/tex]

So:

[tex]cos(16) = \frac{AD}{420}[/tex]

[tex]AD = 420 * cos16[/tex]

[tex]AD = 420 * 0.9613[/tex]

[tex]AD = 403.75[/tex]

Solving (b):  CD

Here, we make use of Pythagoras theorem:

[tex]AC^2 = AD^2 + CD^2[/tex]

So:

[tex]420^2 = 403.75^2 + CD^2[/tex]

[tex]176400 = 163014.0625 + CD^2[/tex]

[tex]CD^2 = 176400 - 163014.0625[/tex]

[tex]CD^2 = 13385.9375[/tex]

[tex]CD = \sqrt {13385.9375[/tex]

[tex]CD = 115.70[/tex]

Solving (c): BD

Here, we make use of Pythagoras theorem:

[tex]AB^2 = AD^2 + BD^2[/tex]

[tex]BD^2 = AB^2 - AD^2[/tex]

[tex]BD = \sqrt{AB^2 - AD^2[/tex]

[tex]BD = \sqrt{500^2 - 403.75^2[/tex]

[tex]BD = \sqrt{86985.9375[/tex]

[tex]BD = 294.93[/tex]

Related Questions

What is the y-intercept Of the function Represented by the table of values belowX -2 1 2 4 7 y 15 6 3 -3 -12

Answers

Given:

The table of values.

To find:

The y-intercept of the given function.

Solution:

The table of values represents a linear function because the rate of change is constant.

Consider any two points from the given table. Let the two points are (-2,15) and (1,6). Then the equation of the linear function is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-15=\dfrac{6-15}{1-(-2)}(x-(-2))[/tex]

[tex]y-15=\dfrac{-9}{1+2}(x+2)[/tex]

[tex]y-15=\dfrac{-9}{3}(x+2)[/tex]

[tex]y-15=-3(x+2)[/tex]

Adding 15 on both sides, we get

[tex]y=-3x-6+15[/tex]

[tex]y=-3x+9[/tex]

Putting x=0, we get

[tex]y=-3(0)+9[/tex]

[tex]y=0+9[/tex]

[tex]y=9[/tex]

The y-intercept is 9. Therefore, the correct option is C.

Answer: this is correct

Step-by-step explanation:

From turning this assignment in this is correct

Write the equation of a line given its slope, m = 6 and its y-intercept, b = -5

Answers

y = 6x - 5. 6x or 6/1x is the slope. -5 is the y intercept

Solve using substitution
y = 5x– 1
y = 3 + 5

Answers

Answer:

(9/5, 8)

Step-by-step explanation:

y = 3 + 5

y=8

y = 5x– 1

8=5x– 1

9=5x

x=9/5

(9/5, 8)

x=9/5 y=8

Explanation in photo:

It this right PLZ HELP!!

Answers

Answer:

Yes it is true!

Step-by-step explanation:

Can someone please help me. I’m not quite understanding this problem

Answers

Answer:

A=3

B=8

C=2

D=5

Step-by-step explanation:

hope this helps

Answer:

okay, so to get A you'll have to add 2 and 1 and get three. So, A equals 3. then to get B you will add 3 and 5 because A equals 3 and that will give you 8. so, B equals 8. To get D you will add 2 and 3. that will make D equals 5. to get C you will get 2. because 3 plus two equals five and because 1 plus 2 equals 3

if n is a prime factor of both 15 and 50, what is the value of n?

Answers

Answer:

5

Step-by-step explanation:

Take a look at all the prime factors of 15:

3, and 5 are all the prime numbers by which 15 is divisible.

Next, do the same for 50.

2, and 5 are all the prime numbers by which 50 is divisible.

The only common prime factor is 5.

HELP PLEASE
In AQRS, the measure of ZS=90°, the measure of ZQ=31°, and RS = 27 feet. Find the
length of SQ to the nearest tenth of a foot.

Answers

the answer would be 80 even tho that’s no the answer

How many TRIANGLES can you find?

Answers

I found 12 triangles

Corresponding Angles are congruent.
Which angle corresponds with <3?
41 A2
43 44
ܝܝ 2
«[?]
428
25 26

Answers

Answer:

Angle 5

Step-by-step explanation:

angle 5 corresponds with angle 3 i believe

Find the slope and y-intercept from the following graph of a linear equation

Answers

Answer:

y=4x+3

Step-by-step explanation:

y=mx+b

m-slope

b-y-intercept

slope is 4/1  rise 4 ,run 1

m=4/1=4

y-intercept is 3

Answer:

Slope = 4

y-intercept = 3

Step-by-step explanation:

1. Find the slope

The slope of the line is the change in the line, it is also known as the [tex]\frac{rise}{run}[/tex]. It can be found by using the formula; [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]. On the graph, one can see that points ( -1, -1 ) and ( -2, -5 ). Substitute these into the formula and solve for the slope;

[tex]=\frac{y_2 - y_1}{x_2 - x_1}\\\\=\frac{(-5) - (-1)}{(-2) - (-1)}\\\\=\frac{-5 + 1}{-2 + 1}\\\\=\frac{-4}{-1}\\\\= 4[/tex]

The slope of the given line is 4

2. Find the y-intercept

The y-intercept is where the graph of the line intersects the y-axis. In this case, this point is visible, the point at which the graph intersects the y-axis is (0, 3). The y-intercept is the y-coordinate of this point, in other words (3).

There are 320 lights in the tree. 25% are red. How many are red?

Answers

Answer:

80 red lights.

Step-by-step explanation:

25% of 320 is 80. Hope this helps!

The diagram represents a dilation with a center at P. If the scale factor of e dilation is K, which statement about the diagram is true?

Answers

Answer:

C is correct. If the scale factor is greater than 1, the image is an enlargement. The segment UT could be an enlargement of the segment ST.

Step-by-step explanation:

A. If > 1, then the image of could be .  

B. If 0 < < 1, then the image of could be . ( If the scale factor is between 0 and 1, the image is a reduction )

C. If > 1, then the image of could be .

D.If = 2, then the image of is itself.

A is not correct.  If the scale factor is between 0 and 1, the image is a reduction.

B is not correct.  If the scale factor is between 0 and 1, the image is a reduction.

C is correct.  If the scale factor is greater than 1, the image is an enlargement.

D is not correct.  If the scale factor is 1, the figure and the image are congruent.

The dilation factor for triangle PST (K₁) is less than that of triangle PUV (K₂).

What is scale factor? How it is used in Dilating sides?Scale factor tells us by how much one quantity is greater than the other. It is denoted by K. Mathematically → K = a/b.Rewriting, we get → a = Kb.If a side length [a] of any 2 - D figure is dilated by a scale factor of [k], then the length of new side will be [Ka].

Given is a diagram that represents a dilation with a center at {P}. The scale factor of the dilation is {K}.

The dilation factor for triangle PST (K₁) is less than that of triangle PUV (K₂).

Therefore, the dilation factor for triangle PST (K₁) is less than that of triangle PUV (K₂).

To solve more questions on dilation, visit the link below-

brainly.com/question/13439872

#SPJ5

Please no one is helping me I truly need help pls

Answers

Answer:

104 cm^3

Step-by-step explanation:

2(1/2(6*4))+2(1/2(4*10)+(4*10)

2(1/2(24)+(2(1/2(40)+(40)

2(12)+2(20)+40

24+40+40

104 CM^3

What is the Domain, Range, and the vertex for this graph?

Answer correctly pls. I will give brainliest.

Answers

Answer:

Step-by-step explanation:

Answer:

Vertex is 3,1

Domain is 0<x<6

Range is : -9<x<1

Step-by-step explanation:

HURRY TIMED!!! 30 POINTS!!! PICTURE EXPLAINS IT ALL!!

Answers

Answer:

Step-by-step explanation:

it is 5x2 which is 10

Oliver is working with square tiles that are 3/4 inch on each side. What is the area of each tile?

Answers

Answer:

the area should be 3/4

Step-by-step explanation:

jesse has 3 more than twice the number of video games than his brother has. which expression could be used to represent this amount?

Answers

3 plus 2x. you add three to the amount of brother man times 2

Li is comparing 43.94 and 43.52. Which place value should she use to compare the two numbers?
tens
hundredths
O tenths
ones

Answers

Li should use the tenths place as this is the most specific value supplied that still offers a difference in values.

10a3 what is the vocabulary for 10

Answers

Answer:

Coefficient

Step-by-step explanation:

If it is 10a^3 (10 times the variable "a" cubed), then 10 is the coefficient.

Tammy Ray purchases 20 file cabinets for $986.99. What is
the price per cabinet?

Answers

Answer:

49.34

Step-by-step explanation:

986.99/20=49.3485

Divide 986.99 by 20 which gets you 49.3485 then just around up the 10.

Hope this helps! Have a great day. Remember your amazing and you got this! Alycia <3

49.35 that is what I got

Avery paid a $5.00 entrance fee to the carnival
and $3.00 for 6 tickets. How many total tickets
could she buy with the $10.00 she was given to
attend the carnival?

Answers

let’s start off by subtracting 5 from 10 leaving 5 dollars

if 6 tickets cost 3 dollars she can only buy 6 tickets because she will only have 2 dollars left

Find the measure of the missing angle
60°
90°
65°
25°

Answers

Where is the picture?? We can’t help if there is no other part

help pls ill give extra points : )

Answers

Answer:

$2.20 per kg

Step-by-step explanation:

divide 6.60 by 3 to get the answer

Answer:

$2.20

Step-by-step explanation:

Take the price and divide it by the amount.

6.60/3 = 2.2

Therefore, the unit price is $2.20 per kilogram.

The following table shows ordered pairs for a linear function x. Which one of the following equations was used to generate this table?

Answers

Answer:

b

5x+3

Step-by-step explanation:

5×3=15+4=18

5×4=20+3=23

5×8=40+3=43

5×10=50+3=53

hope this helps

Bob found 3 dimes and 17 pennies when he was cleaning his room. Which equations are equivalent to how much money Bob found?

Answers

he has 47 cents

Step-by-step explanation:

so if bob had 3 dimes so off the bat thats 30 cents then 17 pennies you add that up and you get 47 cents mark me as brainlist pls:)

Colton has $2400 in his savings account. It earns 3.5% interest each month. How much money does Colton have in his bank account after one month?​

Answers

Answer:

$2407

Step-by-step explanation:

1/5 x < 2
please help!

Answers

Answer:  X < 10

Step-by-step explanation:

Multiply by 5 to get the X by itself.

50 to 75 percent increase?how do i solve this?

Answers

A change from 50 to 75 represents a positive change (increase) of 50%

75 - 50
|50|
× 100% =
25
50
× 100 = 50% (increase)

Help pls shejsbsjsjshsjsvshzhabjs

Answers

I think it’s 1. If wrong sorry

Answer:

The answer is for the first one it is 372, for the second one it is 3280

Step-by-step explanation:

Multiply the numbers not using calculator, but by hand and figure out where the number goes.

What is the circumference of a circle whose diameter is 5.7 ft? Use 3.14 for pi . Round your answer to the nearest tenth and enter it in
the box

Answers

Answer:

C≈17.91

Step-by-step explanation:

Answer:

17.91

Step-by-step explanation:

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