What is the area of triangle XYZ? Round to the nearest tenth of a square unit. Trigonometric area formula: Area 14.7 square units 14.9 square units 15.0 square units 15.3 square units

Answers

Answer 1

Complete Question:

The perimeter of triangle XYZ is 24 units. Triangle X Y Z is shown. The length of X Y is 3 and the length of Y Z is 11. Angle Y X Z is 102 degrees What is the area of triangle XYZ? Round to the nearest tenth of a square unit. Trigonometric area formula: Area 14.7 square units 14.9 square units 15.0 square units 15.3 square units

Answer:

14.7 square units

Step-by-step Explanation:

Given the triangle shown in the figure attached below, having the following measures:

<YXZ = 102°

Length of XY = z = 3

Length of YZ = x = 11

Length of XZ = y = ?

Perimeter of ∆XYZ = x+y+z = 24 units

Length XZ = y, would be 11+y+3 = 24

14+y = 24

y = 24 - 14

Therefore, y = 10

==>Required:

Area of ∆XYZ to the nearest tenth of a square unit

==>Solution:

Using the Trigonometric area formula, area of ∆XYZ = ½(yz)sin X

Plug in values for x, y, and sin X:

Area of ∆ XYZ = ½×10×3×sin 102

= ½×30×0.9782

= 15 × 0.9782

= 14.673

Area of triangle XYZ approximated to the nearest tenth = 14.7 square units

What Is The Area Of Triangle XYZ? Round To The Nearest Tenth Of A Square Unit. Trigonometric Area Formula:

Related Questions

Real life Applications of Polynomials?

Answers

Since polynomials are used to describe curves of various types, people use them in the real world to graph curves. For example, roller coaster designers may use polynomials to describe the curves in their rides. Combinations of polynomial functions are sometimes used in economics to do cost analyses.

-Shin ( and no need to thank me vote and give brainliest if you want, because i only wanna help! )

How do you solve the inequality 2x − 3 < −5

Answers

Answer:

x=< -1

Step-by-step explanation:

move the constant to the right-hand side and change its sign. 2x<-5+3

Calculate the sum

2x<-2

Divide both sides of the inequality by 2

x <-1

what is the slope of the line shown below (4,8) (2,2)

Answers

Answer:

slope = 3

Step-by-step explanation:

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

= (8-2)(4-2)

= 6/2

= 3

Answer:

If those are 2 points on the line, then the slope is 3.

Step-by-step explanation:

slope is rise over run.  (8-2)/(4-2) = 6/2 = 3

4. Rewrite a formula to isolate a variable:
The velocity(v) of a rocket depends on the time it was firing its boosters(t), and on
the exhaust velocity(c) and on the ratio of mass full to empty(R). Units are km/s.
v = -0098t + c ln R
a. Rewrite the formula so that it solves for R.
V=-0098t + clnR

Answers

Answer:

[tex]v=-0.098t+c\ln(R)\\c\ln(R)=v+0.098t\\ln(R)=\frac{v+0.098t}{c} \\R=e^{\frac{v+0.098t}{c}}[/tex]

NEED HELP ASAP! Arianna correctly simplified an expression. When she substituted \ into the simplified expression, the value was –4. Which could be Arianna’s original expression? One-sixth (negative 3 x minus 24) One-sixth (negative 5 x minus 8) One-sixth (negative 10 x minus 4) One-sixth (negative 12 x minus 16).

Answers

Answer:

(1/6)(-10x - 4) = -4

Step-by-step explanation:

(1/6)(-3x - 24) = -4

=> -3x - 24 = -4 x 6

=> -3x - 24 = -24

=> -3x = 24 - 24

=> -3x = 0

=> x = 0 (not 2) => Incorrect option

(1/6)(-5x - 8) = -4

=> -5x - 8 = -4 x 6

=> -5x - 8 = -24

=> -5x = 8 - 24

=> -5x = -16

=> x = 16/5 (not 2) => Incorrect option

(1/6)(-10x - 4) = -4

=> -10x - 4 = -4 x 6

=> -10x - 4 = -24

=> -10x = 4 - 24

=> -10x = -20

=> x = 2 => Correct option

(1/6)(-12x - 16) = -4

=> -12x - 16 = -4 x 6

=> -12x - 16 = -24

=> -12x = 16 - 24

=> -12x = 8

=> x = -3/4 (not 2) => Incorrect option

=> Option C is correct

Hope this helps!

Answer: C. One-sixth (negative 10 x minus 4)

Step-by-step explanation: On Edgenuity!!!!!!!!!!!!!

The Nth term of a sequence is 3n^2/2
a) what is the second term of the sequence?
b) what is the fifth term sequence?
c) which term in the sequence is the first to have a value higher than 50?
Please help

Answers

c should be the correct answer

The second and fifth term for the given sequence are 6 and 48 respectively and a₆ > 50.

What is an inequality expression?

An inequality expression refers to the relation between an algebraic expression to some known value that contains inequality sign. Unlike an equation it can have a range of values inside an interval.

The given problem can be solved as,

(a) The nth term of the sequence is given as aₙ = 3n²/2

Then, substitute n = 2 to get second term as below,

a₂ = (3 × 2²)/2 = 6

(b) The fifth term is obtained as,

a₅ = (3 × 2⁵)/2  = 48.

(c) The inequality expression for the given case can be written as,

3n²/2 > 50

⇒ 3n² > 100

⇒ n² > 33.33

This is possible only for n = 6.

Hence, the second and fifth terms are 6 and 48 respectively. And, the 6th term will be the first to be greater than 50.

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Please Help!!! Examine parallelogram ABCD. Opposite sides AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ have lengths of 4y and y+42, respectively. Determine the value of y and answer the following question. Quadrilateral A B C D with side measures as given in the problem. What is the length of AB¯¯¯¯¯¯¯¯?

Answers

Answer:

y = 14

Length of AB = 56 units

Step-by-step Explanation:

==>Given:

Parallelogram ABCD, with the following lengths:

AB = 4y

DC = y + 42

==>Required:

a. Value of y

b. Length of AB

==>Solution:

i. Recall that one of the properties of a parallelogram is that opposite sides are congruent. This implies that side AB is congruent to DC.

To find the value of y, let's set the opposite sides of the parallelogram equal to each other (i.e. AB = DC)

Thus,

4y = y + 42

Subtract y from both sides

4y - y = y + 42 - y

3y = 42

Divide both sides by 3

3y/3 = 42/3

y = 14

ii. Length of AB = 4y

Plug the value of y

Length of AB = 4(14)

Length of AB = 56 units

The table represents the function f(x)=2x+1
Which value goes in the empty cell?
A.3
B.5
C.8
D.23

Answers

Answer:

5

Step-by-step explanation:

we want to find f(2)

f(x) = 2x+1

Let x=2

f(2)= 2*2+1

     = 4+1

    =5

F) 77.1%

Thanks if you helped me

Answers

Answer: 43.5

Step-by-step explanation:

185/425

divide them, you should get 0.435

move it to the left 2 times and thats your answer

1. If the original price is $75 and you get a 30% discount. What is the sale
price?

Answers

Answer:

the sale price is 52.50

Step-by-step explanation:

30% discount means that the person pays 70% of the original price

multiply 75 by 70% written as a decimal 0.70

75*0.70 = 52.50

Answer:
The 30% discount is $22.50 off the original price. Thus, a 30% discount on $75 brings the total to $52.50.

Explanation:
First, calculate the 30% discount.

75 • .30 = 22.5

So, this means the 30% discount gives us $22.50 off the original price.

Next, subtract the discount from the original price to find the final total.

75 - 22.5 = 52.5

So, the final total is $52.50.

Which of the following is false?
A a child's age and the height of a child is a positive correlation
B none, since all of the other answer choices are true
C the number of hours a person studies and the numerical score on the
exam is a positive correlation
09
D the speed of a vehicle and the time it takes the vehicle to travel 60
miles is a positive correlation
09
09

Answers

Answer:

A

Step-by-step explanation:

A because the height and age are sometimes not proportional or ideal. Some kids don't develop due to health problems for example, which make them look smaller than normal. Other people might a conditions, which makes them grow to tall.

Penny had a bag of marbles. She gave one-third of them to Rebecca, and then one-fourth of
the remaining marbles to John. Penny then had 24 marbles left in the bag. How many marbles were
in the bag to start with?
pls explain.

Answers

Given That:

x - (Rebecca's share + John's share) = 24

x - (x/3 + x/4) = 24

12x/12 - (4x / 12 + 3x / 12) = 24

5x/12 = 24

5x = 24 x 12

5x = 288

x = 57 or 58

hat logarithmic function represents the data in the table?

x f(x)
25 2
125 3
625 4

Answers

Answer:

1

Step-by-step explanation:

Answer:

The answer is A!

If 7+5x+9=−3x , then x=−2 . Drag and drop the reasons to correctly complete each box.

Answers

Answer:

Where are the reasons and boxes? Could you repost with more information or a picture please? Thank you!

Step-by-step explanation:

10+12+14+...+(2n)=90 n=?

Answers

Answer:

n=10

Step-by-step explanation:

The given equation is  

[tex]10+12+14+...+2n=90[/tex]        ...(1)

Let nth term is 2n.

We need to find the values of n.

It is clear that [tex]S_n=10+12+14+...+2n[/tex] is sum of A.P., whose first term is 10 and common difference is 2.

Sum of A.P. is  

[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]

where, a is first term and d is common difference.

Substitute a=10 and d=2 in the above formula.

[tex]S_n=\dfrac{n}{2}[2(10)+(n-1)2][/tex]

[tex]10+12+14+...+2n=n[10+n-1][/tex]

[tex]10+12+14+...+2n=n[9+n][/tex]     ...(2)

From (1) and (2), we get

[tex]n(9+n)=90[/tex]

[tex]n^2+9n-90=0[/tex]

Splitting middle term, we get

[tex]n^2+15n-6n-90=0[/tex]

[tex]n(n+15)-6(n+15)=0[/tex]

[tex](n+15)(n-6)=0[/tex]

[tex]n=-15,6[/tex]

Since, n represents the number of terms so n cannot be a negative number, therefore number of term is 6.

Note: nth term and variable n both are different.

[tex]a_n=a+(n-1)d[/tex]

[tex]a_6=10+(6-1)2=10+10=20[/tex]

Sixth term is 20. So,

[tex]2n=20[/tex]

[tex]n=10[/tex]

Therefore, the value of n is 10.

What is the value of x in the equation 3 minus 2 x = negative 1.5 x? People say the Answer is 6. What's the work to get the answer?

Answers

Answer:

6

Step-by-step explanation:

3-2x=-1.5x

3=2-1.5x

3=0.5x

X=(3÷0.5)=6

can someone show me how pls, Find m∠UTS, if m∠UTV=x+15, m∠VTS=140∘, and m∠UTS=15x+15.

Answers

Answer:

165

Step-by-step explanation:

First, m<UTS=m<UTV+m<VTS by Angle Addition Postulate.  Then, you substitute all the values that you provided for the angles.  15x+15=x+15+140.  You then solve for x.

15x+15=x+155

14x=140

x=10

You then plug back in 10 for X in the value of m<UTS.  15(10)+15=165

What is the correct formula for calculating a 3 x 3 determinant?

Answers

To work out the determinant of a 3×3 matrix:

Multiply a by the determinant of the 2×2 matrix that is not in a's row or column

Likewise for b, and for c

sum them up, but remember the minus in front of the b

_____________________________________________________

Hope this helps, stay safe, have a good day :D

Answer: it’s C

Step-by-step explanation:

just took the assignment

The sum of the measures of two complementary angles exceeds the difference of their measures by 86. Find the measure of the larger angle.

Answers

You will need to know that the sum of "two complementary angles" is 90
therefore
Let x = one angle
then
90-x = second angle
.
Now, we construct our equation based on the sentence:
"The sum of the measures of two complementary angles exceeds the difference of their measures by 86°."
x + 90-x = x-(90-x)+86
90 = x-90+x+86
90 = 2x-90+86
90 = 2x-4
94 = 2x
47 degrees = x (first angle)
.
Second angle:
90-x = 90-47 = 43 degrees (second angle) hope it helps

Which of the following is an angle shown in the drawing?

Will mark as brainliest if correct. Please answer ASAP please.

Answers

Answer: All of them besides <AEB

Step-by-step explanation:

Everyone of those can be measured but the <AEB therefore all the answers besides <AEB is correct

Medical statistics indicate that 20% of the population will have cancer in their lifetimes. A group of 12 babies is selected at random. a. What is the probability that exactly 5 in the group will get cancer in their lifetime? b. What is the probability that at least 5 will get cancer in their lifetime? Record the answer to four decimal places (x.Xxxx)

Answers

Answer:

a. 5.3%

b. 7.3%

Step-by-step explanation:

we have to:

n = 12

p = 0.2

q = 1 - 0.2 = 0.8

We apply the binomial formula:

p (x) = nCx * p ^ x * p ^ (n-x)

a. P (x = 5) = 12C5 * 0.2 ^ 5 * 0.8 ^ (12-5)

12C5 = 12! / (5! * (12 -5)!) = 792

P (x = 5) = 792 * 0.2 ^ 5 * 0.8 ^ (12-5)

P (x = 5) = 0.053

which means that the probability is 5.3%

b. P (x => 5) = 1 - p (x <5)

P (x => 5) = 1 - p (x <= 4)

P (x => 5) = 1 - [P (x = 0) + P (x = 1) + P (x = 2) + P (x = 3) + P (x = 4)]

P (x = 0) = 12C0 * 0.2 ^ 0 * 0.8 ^ (12-0) = 0.069

P (x = 1) = 12C1 * 0.2 ^ 1 * 0.8 ^ (12-1) = 0.206

P (x = 2) = 12C2 * 0.2 ^ 2 * 0.8 ^ (12-2) = 0.283

P (x = 3) = 12C3 * 0.2 ^ 3 * 0.8 ^ (12-3) = 0.236

P (x = 4) = 12C4 * 0.2 ^ 4 * 0.8 ^ (12-4) = 0.133

replacing:

P (x => 5) = 1 - [0.069 + 0.206 + 0.283 + 0.236 + 0.133]

P (x => 5) = 1 - 0.927

P (x => 5) = 0.073

Which means that the probability is 7.3%

Please answer correctly !!!! Will mark brianliest !!!!!!!!!!!!!!

Answers

Answer:

C

Vertex at (-4 , 18)

Step-by-step explanation:

The vertex's x-coordinate is -4

To find the y-coordinate plug -4 into any of the equations but I recommend using the third one because it'll be the fastest route.

-2 (-4 + 4)^2 + 18

-2(0)^2 + 18

= 18

Vertex at (-4, 18)

1. Find a. The length of side
b. The Apothum
c. The area of the regular polygon inscribed in a circle of radius r= 13 cm of hexagon,
2. The side length of inscribed regular polygon is 10 unit long. Find the area of hexagon.
3. The area of inscribed regular hexagon is 18 V3 cm2. Find
8. The radius
b. The side length
c. The Apothum
d. The perimeter
4. If a regular polygon of 12 sides with radius units long is given. What is its area?
please help guys i dont understand ​

Answers

Are you good at math

find the value of x when m<2= 8x

Answers

Answer:

x = 10

Step-by-step explanation:

The base angles of an isosceles triangle measure the same

The three angles of the triangle and 50 , 50 and <2

They sum to 180 degrees

50 +50 + 8x = 180

Combine like terms

100+8x = 180

Subtract 100 from each side

100-100 +8x = 180 - 100

8x= 80

Divide by 8

8x/8 = 80/8

x = 10

Answer:

x =10

Step-by-step explanation:

this is isosceles Δ so it has base ∠ that are =

sum of angles in Δ is 180 so 180 -50-50 = 80

m<2= 80

80= 8x

x =10

Angel wants to distribute a certain amount of money among his children. IF you split $10 each, you have $35 left, and if you split $15 each, you still have $5 left. Indicates the amount of money distributed.

Answers

Answer:

95

Step-by-step explanation:

Let x be the number of children

10x+35 = money

15x+5 = money

Set  the equations equal

10x+35 = 15x+5

Subtract 10x from each side

35 = 5x+5

Subtract 5 from each side

30 =5x

Divide by 5

30/5 =5x/5

6 =x

There are 6 children

10x+35 = money

10(6) +35

60+35

95

The amount of money is 95

–5 d + (–6) u – 3, when d = 2 and u = 7

Answers

Answer:

-55

Step-by-step explanation:

when d= 2 and u=7

-5(2)-6(7)-3

-10 - 42 -3 = -55

Please mark as Brainlest

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The final value of the expression -5d + (-6)u - 3 when substituted d = 2 and u = 7 is 55

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

3x + 4 is an expression.

3x = 4 is an expression.

We have,

-5d + (-6)u - 3 ______(1)

Substitute d = 2 and u = 7 in (1).

-5 x 2 + (-6) x 7 - 3

Add all the like terms.

-10 - 42 - 3

-10 - 45

- 55

Thus,

The final value of the expression -5d + (-6)u - 3 when substituted d = 2 and u = 7 is 55.

Learn more about expressions here:

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What can be concluded about the sequence 19, 15, 11, 7, . . . represented on the graph? Check all that apply. The common difference of the sequence is the same as the slope of the graph. The slope of the graph is –4. The next term in the sequence is represented by point (4, 3). f(x) = –4x + 19 represents the sequence. An infinite number of points can be determined to follow this sequence.

Answers

Answer:

3, -1

Step-by-step explanation:

the answer is A,B,E

i took the test

Find the simplest pattern and fill in the missing number. 45, 30, 18, 9, ... 0

Answers

Answer:

3 the patten is the previous subtracted about decrease by 3

Step-by-step explanation: the pattern decrease the number subtracted by 3 so it starts with 15 and goes to 12 then to 9 so the last one would be six and 9 - 6 = 3

, 8 technicians can test 560 samples in 36 hours. How long
(in days) can 15 technicians'test 525 samples?

Answers

Answer:

0.75 days (im a bit unsure but i tried my best, hope this helps :) )

Step-by-step explanation:

If it takes 8 technicians 36 hours to test 560 samples, find how many technicians can test 525 samples.

8: 560

x: 525

x= 7.5 (which is considered 7)

Then, find how long it takes to sample 525 samples, when 560 are done in 36  hours;

560: 36

525: x

x= 33.75 (which is considered 34 hours)

The last step is to check how long 15 technicians take to sample 525 samples when 8 can do the same number in 34 hours. this is inverse proportion so dont forget to flip one numerator and denominator

8; 34

15; x

it will become

15:34

8: x

x= 18 hours

Divide by 24 for days hence 0.75 days

PLEASE HELP WILL MARK BRAINLIEST

Graph the inequality below on the number line.

Answers

Answer:

open circle on negative 10 with the arrow going to the right. one trick is when the variable is on the left the inequality sign points to where the arrow will go and > is open circle > with a line under is closed circle

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