HELP ME PLEASE!! ASAP THANK YOU

Answer:

x = 16√3

y = 8√3

z = 24

Step-by-step explanation:

From the figure attached,

By applying cosine rule in ΔABD,

cos(45°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{1}{\sqrt{2} }=\frac{z}{24\sqrt{2} }[/tex]

z = 24

By applying sine rule in ΔABD,

sin (45°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{1}{\sqrt{2} }=\frac{AD}{24\sqrt{2} }[/tex]

AD = 24

By tangent rule in ΔADC,

tan(60)° = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

[tex]\sqrt{3}=\frac{AD}{DC}[/tex]

[tex]\sqrt{3}=\frac{24}{y}[/tex]

y = 8√3

Similarly, by sine rule in ΔADC,

sin(60°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{\sqrt{3} }{2}= \frac{AD}{AC}[/tex]

[tex]\frac{\sqrt{3} }{2}= \frac{24}{AC}[/tex]

AC = 16√3

x = 16√3

Answer:

I'm guessing the angle 1 is supposed to be 74 degrees and not angle 2?

Step-by-step explanation:

Either way. Complementary angles always have a sum of 90°. 74+16=90 so it checks out

Answer:

The answer is $9.60!

Step-by-step explanation:

Answer:

Function

Step-by-step explanation:

These coordinates do represent a function. For a relation to be a function every y-value must have an x-value, this means x's cannot repeat. In this relation x's never repeat, they simply increase by one every time. Therefore, this is a function.

Answer:

D. 32 feet

Step-by-step explanation:

A tree is 12 feet tall and casts a 9-foot shadow.

The shadow is 3/4 the length of the tree (9/12 = 3/4).

We know the shadow of a nearby building is 24 feet long.

That would be 3/4 of the height of the building.

So, fidn the reciprocal of 3/4 (4/3) and multiply by 24.

24/1 * 4/3

Cross-cancellation

8/1 * 4/1

8 * 4

The building is 32 feet tall, which is D.

Answer:

0.38

Step-by-step explanation:

I hope this helps you with your test :)

Answer:

0.38

Step-by-step explanation:

.38 is before .47

Answer:

The rate of change or slope m  = -50

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Given that there is $500 in Holly's bank account.

Thus, the y-intercept b = 500

It is stated that she takes out $50 from her account each month but doesn't put money back in.

It means the rate of change or slope is decreasing.

Thus, the rate of change or slope m  = -50

EXTRA BONUS!

We can also determine the line equation by substituting m = -50 and b = 500 in the slope-intercept form

[tex]y = mx+b[/tex]

y = -50x + 500

Here:

The slope m = -50

The y-intercept = 500

Answer:

49

Step-by-step explanation:

you need to multiply all them and get 49

Answer:

0

Step-by-step explanation:

3(-3-3x)+4=-5

3(-3-3x)=-9

-9-9x=-9

-9x=0

0/-9=0

Step-by-step explanation:

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Answer:

78.75 ?

Step-by-step explanation:

calculator..

The volume of water remain in the tank after 30 seconds is 78.75 liters.

The given parameters;

The amount of water drained after 30 seconds is calculated as follows;

[tex]V_1 =2.5 \ \frac{liters}{\min} \times \frac{1 \min}{60 \ s} \times 30 \ s\\\\V_1 = 1.25 \ liters[/tex]

The volume of water remain in the tank after 30 seconds is calculated as follows;

V₂ = V₀ - V₁

V₂ = 80 liters - 1.25 liters

V₂ = 78.75 liters

Thus, the volume of water remain in the tank after 30 seconds is 78.75 liters.

Learn more here: https://brainly.com/question/13559135

Step-by-step explanation:

please sorry to barge into your question without any reasonable answer all I want to say is that this is a graph and I think that the domain and range this is increasing to calculate like the unit for example you have - 9 and - 3 you should calculate how many units are between -9 and -2 I'm not sure and I just really need marks now point where I can get on with my procedure so sorry for just barging in like that I'm so sorry

9514 1404 393

Answer:

  x < -5

Step-by-step explanation:

The function is increasing where its slope is positive. That is where each point is higher than the one to its left. You see that is the case for all points to the left of the vertex, which is at x=-5.

The domain where the function is increasing is x < -5.

_____

Additional comment

At the vertex, the function is horizontal, neither increasing nor decreasing. So, the vertex itself is not included in the domains of increase or decrease.

Answer:

The entire race is 26.20 miles long.

Step-by-step explanation:

Given that:

Sam is 18.34 miles in the race.

This length represents the 70% of the entire length of the race.

Let,

x be the total length of the race.

70% of x = 18.34

[tex]\frac{70}{100}x=18.34\\[/tex]

0.7x = 18.34

Dividing both sides by 0.7

[tex]\frac{0.7x}{0.7}=\frac{18.34}{0.7}\\x=26.20[/tex]

Hence,

The entire race is 26.20 miles long.

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

since from -2 it starts to be a straight line and ends at 1

Answer: the answer is b

Step-by-step explanation: since i helped can i have brainlist please it would be greatly apperacited.  :D

Answer:

y=5x-8

Step-by-step explanation:

Answer:

It is already rounded

Step-by-step explanation:

Answer:

ye

Step-by-step explanation:

sorry!

Answer:

I believe that the answer is 2x-8

Answer:

10

Step-by-step explanation:

[tex]2\frac{1}{2}[/tex] ÷[tex]\frac{1}{4}[/tex]

change the mixed fraction to proper fraction

(2 * 2)+1   / 2

= 5/2

5/2 * 4/1

=20/2

10

Answer:

slope = 0

Step-by-step explanation:

remember slope is just rise (change in y) over run (change in x) and since there's no change it has a zero slope, which applies to any horizontal line parallel to the x axis

(this is just me trying to explain slopes, separate from the question you put) if the right most point was 1 higher (5,7) instead of (5,6) then the slope would be 1/2 because to get from (5,7) to (3,6) you move up 1 and over 2

Answer:

Step-by-step explanation:

the ratio between similar triangles are constant.

so 11/14 has to be equal to z/8 and also a15 = 11/14

so from this we can conclude that z = 8*14/11 = 10.18

Answer:

z = 11 and a = 12

Step-by-step explanation:

These two triangles are similar, in this case, the same angles but different sizes. The answer to this problem is the length of the sides of the triangles. You are given the right side's length on both triangles. The first triangle's sides are 3 (inches, cm, whatever form of measurement is being used) bigger than the second triangle's. Using this information, you can figure out the quantity of both a and z.

Hope this helps.

Answer:

5 feet

Step-by-step explanation:

By triangle inequality, the sum of lengths of any two sides has to be strictly greater than the length of the third side.

Let x feet be the length of the third side.

We have 3+x>7, x+7>3 and 3+7>x.

Solving these, we get x > 4, x > -4 and x < 10.

The solution is therefore 4 < x < 10 and the smallest whole number which satisfies the inequality is 5.

Therefore the answer is 5 feet.

Answer:

800 different 4 digit passwords can be the pin

Step-by-step explanation:

Since the first digit is a factor of 20, the factors of 20 are 1,2,4,5,10,20. We only need the single digit factors which are 1,2,4 and 5.

These 4 numbers can be permuted in 1 way for the first digit, so we have ⁴P₁.

For the second digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and also for the third digit, we have

10 digits permuted in 1 way,  and for the last digit, which is divisible by 5, it is either a 0 or 5, so we have two digits permuted in 1 way,

So, the number of different 4 digit number that Zara'2 4-digit PIN code could be is

4 × 10 × 10 × 2 = 800 different sets of digits