Find the missing part.
Z=

Find The Missing Part.Z=

Answers

Answer 1

Answer:

[tex]=15\cdot \frac{\sqrt{3}}{2}[/tex]

Step-by-step explanation:

Answer 2
Z= 15*sqrt(3)/2


Tan(30) = y/b = 1/sqrt(3) (1)
Tan(60) = y/a = sqrt(3) (2)
(1)/(2) => a/b = 1/3 => 3a= b (3)
a + b = 15 (4)
From (3) and (4) => a = 15/4 , b = 45/4
Cos(30) = b/z => z = b/cos(30)
Z = 15*sqrt(3)/2

Related Questions

50 points. Please explain each step​

Answers

Sin[tex]\theta_{1}=\frac{3\sqrt{21}}{17}[/tex]

Solution given:

Cos[tex]\theta_{1}=\frac{10}{17}[/tex]

[tex]\frac{adjacent}{hypotenuse}=\frac{10}{17}[/tex]

equating corresponding value

we get

adjacent=10

hypotenuse=17

perpendicular=x

now

by using Pythagoras law

Hypotenuse ²=perpendicular²+adjacent ²

substituting value

17²=x²+10²

17²-10²=x²

x²=17²-10²

x²=189

doing square root

[tex]\sqrt{x²}=\sqrt{189}[/tex]

x=[tex]3\sqrt{21}[/tex]

now

In I Quadrant sin angle is positive

Sin[tex]\theta_{1}=\frac{perpendicular}{hypotenuse}[/tex]

Sin[tex]\theta_{1}=\frac{3\sqrt{21}}{17}[/tex]

Answer:

sin theta = 3 sqrt(21)/17

Step-by-step explanation:

cos theta = adj / hyp

We can find the opp by using the Pythagorean theorem

adj^2 + opp ^2 = hyp^2

10^2 +opp^2 = 17^2

100 + opp^2 = 289

opp^2 = 289-100

opp^2 = 189

Taking the square root

opp = sqrt(189)

opp = 3 sqrt(21)

Since we are in the first quad, opp is positive

sin theta = opp /hyp

sin theta = 3 sqrt(21)/17

Help I don’t understand this

Answers

In this you’re just finding the values of the function for the given x values.

f(0) is the y value when x=0, so you look at the graph at x=0 and look at what y value is at the point. At x=0 you get y=1, so f(0)=1.

Same thing with the other function. g(-8)= -6.

Then you substitute those values.

-8(1) + 4(-6) = -8-24 = -32

A car insurance company has determined that 9% of all drivers were involved in a car accident last year. Among the 10 drivers living on one particular street, 3 were involved in a car accident last year. If 10 drivers are randomly selected, what is the probability of getting 3 or more who were involved in a car accident last year?

Answers

Answer:

The correct answer: 0.05404

Step-by-step explanation:

Given:

Binomial distribution = x

n = 10

and p = 0.09

solution:

P(X=x) =1 0Cx*(0.09^x)*((1-0.09)^(10-x)) for x=0,1,2,...,10

So the probability is calculated by the Formula:

P(X>=3) = 1-P(X=0)-P(X=1)-P(X=2)

putting the given values in the formula

= 1-10C0*(0.09^0)*((1-0.09)^(10-0))-...-10C2*(0.09^2)*((1-0.09)^(10-2))

= 0.0540400

Thus, the correct answer: 0.05404

Omggg guys please help me find those two boxes

Answers

Answer:

Both boxes are -20.25

Step-by-step explanation:

The y-value for the vertex is when you plug in the x-value of the vertex in. The vertex is at (2.5, -20.25). SInce the vertex is the lowest or highest point on a parabola, the range is y>=-20.25.

can i gets help with this 2x^2 – 9x + 2 = –1

Answers

answer should be x=4.137

ugh ,, im stuck again :( someone please explain this !!!

Answers

Answer:

63cm²

Step-by-step explanation:

Area of the shaded region = Area of the rectangle - Area of the two triangles

Area of the rectangle = 6(3+14)

Area of the rectangle = 6 * 17

Area of the rectangle = 102cm²

Area of the smaller triangle = 1/2 * 3 * 6

Area of the smaller triangle = 18/2 = 9cm²

Area of the larger triangle = 1/2 * 6 * (17-7)

Area of the larger triangle = 1/2 * 6 * 10

Area of the larger triangle = 60/2 = 30cm²

Area of the shaded part = 102 - (9+30)

Area of the shaded part = 102 - 39

Area of the shaded part = 63cm²

Identify the dependent variable: the time it takes to make rag dolls for a mission in Africa and the number of people working on the dolls the distance travelled while walking and the time taken the cost of an end of year grade 9 party and the number of people attending

Answers

Answer:

The time it takes to make rag dolls for a mission in Africa.

The time taken.

The cost of an end year party.

Step-by-step explanation:

The dependent variable refers to the variable which is predicted or measured in an experiment , the value of the dependent variable relies on the variation in the independent or predictor variable.

The time it takes to make rag dolls for a mission in Africa and the number of people working on the dolls ;

DEPENDENT VARIABLE = The time it takes to make rag dolls for a mission in AFRICA. This is because time taken will depend on the number of people working.

The distance travelled while walking and the time taken ;

DEPENDENT VARIABLE = THE time taken

The time taken will depend on distance traveled.

The cost of an end of year grade 9 party and the number of people attending ;

DEPENDENT VARIABLE = The cost of an end year party.

Cost of partybwill depend on the number of people attending.

Write an equation that is parallel to the line y = x-5 and
passes through the point (1, -2)
Select one:
a: y = -3x + 1
b.y = 3x + 1
c. y = x + 1
d. y = x-3

Answers

Answer:

D. y = x - 3

Step-by-step explanation:

A parallel line will have the same slope, so the line will also have a slope of 1.

Plug in the slope and the given point into y = mx + b, and solve for b:

y = mx + b

-2 = 1(1) + b

-2 = 1 + b

-3 = b

Plug in the slope and b into y = mx + b:

y = mx + b

y = x - 3

So, the equation is D. y = x - 3

2x times -y or (2x)(-y)

Answers

Answer:

(2x)(-y)

Step-by-step explanation:

Both are technically correct, but (2x)(-y) is more professional. You can also say 2x * -y.

Hope this helps!

3. Given the graph below, determine whether each statement is true or false.

Answers

Answers:

TrueTrueTrueFalseFalse

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

Explanation:

In this context, a zero is another term for x intercept or root. This is where the graph either touches or crosses the x axis. This occurs in three locations: x = -3, x = 2, and x = 0. So those are the three roots. That makes the first three statements true, while the remaining two others are false.

Side note: x = 0 doesn't always have to be involved. Its quite possible to have x = 0 not be an x intercept. The term "zero" is a bit misleading in that regard. I prefer either "root" or "x intercept" instead.

Five years ago, Victor was twice as old as his daughter Anika. In 10 years, the sum of their ages will equal 90. Find their ages now.

Answers

Answer: 45 and 25

Step-by-step explanation:

Given

Five years ago victor was twice as old as his daughter

Suppose the current age of victor and his daughter are x and y

For five years ago

[tex]\Rightarrow (y-5)=2(x-5)\\\Rightarrow y-5=2x-10\\\Rightarrow y=2x-5\\\Rightarrow 2x-y=5\quad \ldots(i)[/tex]

In 10 years sum of their ages is 90

[tex]\Rightarrow (y+10)+(x+10)=90\\\Rightarrow x+y=70\quad \ldots(ii)[/tex]

On solving (i) and (ii) we get

[tex]\Rightarrow x=25,y=45[/tex]

So, the current age of victor is 45 and his daughter is 25

Answer:

45 , 25

Step-by-step explanation:

plss answer
plss answer

Answers

AYou need soneolper...

Step-by-step explanation:

Op in the chgat

find the area of this circle
Radius: 7ft

Answers

Area of circle =153.86ft²

Answer:

Solution given;

Radius[r]: 7ft

To find;

Area of circle;

Step-by-step explanation:

use formula:

Area of circle =πr²

Calculation:

Area of circle =πr²

substitute value

.Area of circle =3.14*7²=153.86ft²

Solve for x.
4(x + 3) = x +42
x = [?]

Answers

Answer: x=10

Step-by-step explanation:

[tex]4(x+3)=x+42\\4x+12=x+42\\4x-x=42-12\\3x=30\\x=10[/tex]

Consider functions p and q.

On which interval are both functions increasing?
(See Below)

Answers

Answer:

(-2, 3)

Step-by-step explanation:

Function given in the graph 'p' is increasing from x = -2 to x = ∞.

Another function 'q' represented by the equation is,

q(x) = -|x - 3| + 4

By using graphing utility, graph of the function will be as shown in the attachment.

Graph of the function 'q' will be increasing from x = -∞ to x = 3

Therefore, common domain in which both the function are increasing is (-2, 3)

Answer:

(-2, 3)

Step-by-step explanation:

PLATOO

What is the inverse of the function f(x) = 2x + 1?|
Oh(x) =
Oh(x) -
12 12
2 1212
Oh(x) =
1
-X-2
2
Oh(x) =
(8) 글 +2

Answers

Answer:

1st option

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = 2x + 1 ( subtract 1 from both sides )

y - 1 = 2x ( divide both sides by 2 )

[tex]\frac{y-1}{2}[/tex] = x

Change y back into terms of x with x being the inverse h(x)

h(x) = [tex]\frac{x-1}{2}[/tex] = [tex]\frac{1}{2}[/tex] x - [tex]\frac{1}{2}[/tex]

1. In the figure below, PU = 12, VT = 5, and VQ = 6. Which of the following is FALSE?

Answers

Answer:

for 1 its a and for 2 its c...

Find x. PLEASE HELP ASAP

Answers

Answer:

[tex]22\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\frac{sin(30)}{11\sqrt{2} } = \frac{sin(90)}{x}[/tex]

PLEASE HELP!! i dont understand it

Answers

Answer:

 a.  y^ -1 = e^x    +2

Step-by-step explanation:

y = ln (x-2)

Exchange x and y

x = ln (y-2)

Solve for y

Raise each side with a base of e

e^ x = e^(ln(y-2)

e^x = y-2

Add 2 to each side

e^x  +2 =y

Evaluate in 7
0.51
1.95
0.85
1.61

Answers

Answer:

We may log in directly in our scientific calculator the given value ln 7 and get an answer of 1.9459. On the other hand, we can rewrite the expression as,

                            log to the base e or 7 = x

which can be written as,

                              e^x = 7

The value of x from this is still equal to 1.9459.

Step-by-step explanation:

please help me with this problem !

Answers

Answer:

a you cant add if they are not the same denominator

Answer:

Finding the least common denominator

[tex]Answer: A[/tex]

------------------------

Hope it helps...

Have a great day!!

Find the value of z such that 0.04 of the area lies to the left of z. Round your answer to two decimal places.

Answers

Answer: The value of z is -1.75.

Step-by-step explanation:

Given: P(Z<z)=0.04

To find the value of z such that 0.04 of the area lies to the left of z.

We will use z-score table to get the value of z here.

IN z-score table, we have

For P(Z<-1.7507)=0.04

Hence, the value of z is -1.7507.

Its approximate value is -1.75

So the final answer is z=-1.75.

Corine needs 4 pieces
each a foot long to make one
friendship bracelet. She has a total of 144 inches of string. How many friendship bracelets can Corina make?
[?]friendship bracelets

Answers

Answer:

Corina can make 3 friendship bracelets.

Step-by-step explanation:

Solve for how much string is needed for one friendship bracelet:

4 pieces × 1 foot

4 feet

Convert feet into inches (1 foot = 12 inches):

4 feet × 12 inches

48 inches

Divide the total string by each bracelet's string:

144 inches ÷ 48 inches

3 friendship bracelets

Answer:лаксдкннйд

Step-by-step explanation:

Find the product of these complex numbers.
(2-3i) * (1 - i) =

Answers

Answer:

- 1 - 5i

Step-by-step explanation:

note that i² = - 1

Given

(2 - 3i)(1 - i) ← expand using FOIL

= 2 - 2i - 3i + 3i²

= 2 - 5i - 3

= - 1 - 5i

Answer: -1 - 5i

Step-by-step explanation: It's important to understand that we

can work this problem as if we were multiplying two binomials together.

In other words, we can use the F.O.I.L. method. First, Outer, Inner, Last.

The product of the first terms in each complex number is 2.

The product of the outer terms is -2i.

The product of the inner terms is -3i.

The product of the last terms is 3i².

Next, we combine our like terms. So -2i + -3i = -5i.

Also, i² is -1 so our last term is just 3(-1) or -3.

So we have 2 - 5i + (-3) or 2 - 5i - 3 which is -1 - 5i.

if x=(a+4 and y=(a-4),show that xy=a square -16 ​

Answers

(a+4) (a-4)

according to formula,

x square - y square : (x+y) (x-y)

(a+4) (a-4)

xy : a square - 4

I need helppppppppppppppppppppppppppppppppppppppppppppp nowwwwwwwwwwwwwwww i am desperate

Answers

Answer:   14  2/3

This is the same as saying [tex]14\frac{2}{3}[/tex] which is the mixed number 14 and 2/3

whole part = 14

fractional part = 2/3

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

Explanation:

To find the volume of a prism, we multiply the base area by the height.

The base area is shown in green as 7  1/3 square units.

This multiplies with the height 2 to get

2*(7  1/3) = 2*(7 + 1/3) = 2*(7) + 2*(1/3) = 14 + 2/3 = 14   2/3

As alternative notation, you can write  14  2/3  as 14 & 2/3.

Or you could write [tex]14 \frac{2}{3}[/tex]. Keep in mind that this does not mean 14 times 2/3.

A startled antelope started running and covered 1,110 feet in 15 seconds. What was the antelope’s speed, in feet per second, during this short burst

Answers

Answer:

74 feet per second

Step-by-step explanation:

Divide 1,110 by 15 to get 74, which is how many feet the antelope ran per second in its short burst.

Hope this helps!

HELPPPPP
A geometric series has three terms. The sum of the three terms is 42. The third term is 3.2 times the sum of the other two. What are the terms?

Answer is : 2,8, and 32
Please show steps because I'm very confused

Answers

Let x be the first term in the geometric sequence. Then the next two terms in the sequence are xr and xr ², where r is some constant. (This is the defining characteristic of geometric sequences.)

The sum of the first three terms is 42, so

x + xr + xr ² = 42

x (1 + r + r ²) = 42

The third term is 3.2 times the sum of the other two, so that

xr ² = 3.2 (x + xr )

Solve the second equation for r :

xr ² = 3.2 x (1 + r )

We can divide both sides by x since x ≠ 0. (This is obvious, since if x was zero, then all three terms in the sequence would be 0.)

r ² = 3.2 (1 + r )

r ² = 3.2 + 3.2r

r ² - 3.2r - 3.2 = 0

r ² - 16/5 r - 16/5 = 0

5r ² - 16r - 16 = 0

(5r + 4) (r - 4) = 0

==>   r = -4/5 or r = 4

Since there are two possible values of r that might work, there are two possible sequences that meet the criteria.

Plug either of these solutions into the first equation:

r = -4/5   ==>   x (1 + (-4/5) + (-4/5)²) = 42

… … … … … …   21/25 x = 42

… … … … … …   x = 50

r = 4   ==>   x (1 + 4 + 4²) = 42

… … … … …  21x = 42

… … … … …  x = 2

Then the two possible answers would be

• if r = -4/5, then the three terms are {50, -40, 32}

• if r = 4, then they are {2, 8, 32}

Answer:

Step-by-step explanation:

A geometric series means that we multiply one number by a common ratio to get the second number. Let's say our first number is x, and our common ratio is y. We can write the first term is x, and to get the second number, we multiply x by our common ratio, y. For example, if 5 was the first number and 2 was the common ratio, the second number would be 5*2 = 10, and the third would be 10 * 2 = 20.

For our question, the first number is x, the second is x*y, and the third is x*y*y = x*y²

The sum of these three terms is 42, so we can say

x + x*y + x*y² = 42

Next, the third term is equal to 3.2 times the sum of the other two. First, we have 3.2 times something. That something is the sum of the other two, so we must prioritize calculating the sum of the first two numbers, and then multiply that by 3.2 to get the third. We can write this as

(x + x*y) * 3.2 = x*y²

factor out x

x * 3.2(1 +y) = x*y²

divide both sides by x

3.2(1+y) = y²

expand

3.2 + 3.2y = y²

subtract (3.2 + 3.2y) from both sides to make this a quadratic equation

y²-3.2y-3.2 = 0

use the quadratic formula to solve for y  (note that +- here stands for "plus or minus")

[tex]y = \frac{-(-3.2) +- \sqrt{3.2^{2}-4(-3.2)(1)} }{2} \\= \frac{3.2+-\sqrt{10.24+12.8} }{2} \\= \frac{3.2+- 4.8}{2}[/tex]

=  -0.8 or 4

With these two possibilities, we can try each in our other equation to see what works.

x + x*y + x*y² = 42

for y = -0.8

x + -0.8x + 0.64x = 42

x - 0.16x = 42

0.84x = 42

multiply both sides by 1/0.84 to isolate the x

x=50

This works, with x (the first number) =50, the second number being 50 * -0.8 = -40, and the third being -40 * -0.8 = 32. 50+(-40) = 10, 10*3.2=32, and 50-40+32 = 42

Next, for y=4, we have

x+4x + 16x= 42

21x = 42

divide both sides by 21 to isolate the x

This works as well, with x=2, the second value being 2*4 = 8, and the third value being 8*4 =32. 2+8=10, 10*3.2 = 32, and 2+8+32 = 42

The places X and Y are 76km apart on a highway one car starts from Y and other from X at the same time. If the cars travel in the same direction at different speeds, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What are the speeds of two cars?​

Answers

Answer:

Fast car = 45.6

Slower car = 30.4

Step-by-step explanation:

Let the speed of the first car = x

Let the speed of the second car = y

Travelling towards each other.

x *1 + y*1  = 76 miles

x*5 - y*5 = 76 miles. This is kind of tricky. You have to understand that the first car that is 76 miles from the second car and makes up that 76 in 5 hours. The distance they both travel is subtracted out.

Divide by 5

x - y = 76/5

x - y = 15.2       The speeds differ by 15.2

x + y = 76

x - y  = 15.2

2x = 91.2

x = 45.6

y = 76 - 45.6 = 30.4

When the two vehicles speeds are multiplied by 5, the difference is 76 km

Please find attached herewith the solution of your question.

If you have any query, feel free to ask.

help me plsssssssssssss

Answers

Answer:

bro the co ordinates are in the picture itself

Answer:

A'(-3,0) ; B'(0,0); C'(3,6) ; D'(-3,6)

Step-by-step explanation:

O(-6,-6)

A( -5 , -4)  = A( -6+1 , -6 + 2)

A'(-6+3 ,-6+6) = A'(-3,0)

B(-4,-4) = B(-6+2 , -6+2)

B'(-6+6,-6+6)= B'(0,0)

C(-3,-2) = C(-6+3, -6+4)

C'(-6+9 , -6+12) = C'(3,6)

D(-5 , -2) = D(-6+1 , -6 +4)

D'(-6+3, -6+12)=D'(-3,6)

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