NEED ANSWER ASAP- MARK AS BRANLIEST

NEED ANSWER ASAP- MARK AS BRANLIEST

Answers

Answer 1

Answer:

  x = 1 +√5

Step-by-step explanation:

There are different formulas for the area of a triangle available, depending on the given information.

Formulas

When two sides and the angle between them are given, the relevant area formula is ...

  Area = 1/2(ab)sin(C)

When the base and height of a triangle are given, the relevant area formula is ...

  Area = 1/2bh

Equal Areas

The problem statement tells us the two triangles shown have equal areas. That means the two formulas will give the same result.

  Area from angle = Area from base/height

  1/2(x·x)sin(30°) = 1/2(x-2)(x+1)

  x² = 2(x² -x -2) . . . . . . . . . . . use sin(30°) = 1/2, multiply by 4

  x² -2x -4 = 0 . . . . . . . . subtract x², eliminate parentheses

  (x -1)² = 5 . . . . . . . . . add 4+1 to complete the square

Value of x

  x = 1 ± √5 . . . . . . take the square root, add 1

The value of x must be greater than 2 in order for the triangle side lengths to be positive. (x-2 > 0) This means x = 1-√5 is an extraneous solution.

The value of x is 1 +√5.


Related Questions

hi can someone help me with this

Answers

Answer:

hi I'm also stuck on this and I'm so confused

Answer:

A and D

Step-by-step explanation:

A.   [tex]4^{\frac{5}{2} } =(\sqrt{4} )^{5}[/tex]

Because:

[tex](\sqrt{4} )^{5} =(4^{\frac{1}{2} } )^{5} =4^{\frac{1}{2}(5) } =4^{\frac{5}{2} }[/tex]

D.  [tex]8^{\frac{9}{2} } =(\sqrt{8} )^{9}[/tex]

Because:

[tex](\sqrt{8} )^{9} =(8^{\frac{1}{2} } )^{9} =8^{\frac{1}{2}(9) } =8^{\frac{9}{2} }[/tex]

Hope this helps

What is the equivalent radian measure of 540°? One-third radians StartFraction 3 Over pi EndFraction radians StartFraction pi Over 3 EndFraction radians 3 pi radians.

Answers

The equivalent radian measure of 540° is calculated to be using the relation between degree and radian.

what is the relation between radian and degree?

The value of 180° is equivalent to π radian.

π radian= 180°

as we know that

180° = π radian

1° = π/180 radian

540° = 540* π/180

3π radian

therefore, The equivalent radian measure of 540°  is 3π.

to get more about degree and radian refer to:

https://brainly.in/question/37465526

Answer:

d on edge

Step-by-step explanation:

i have no clue what is even happening in this qs! help

Answers

Answer:

9

Step-by-step explanation:

median: The middle number after the numbers have been sorted into ascending or descending order.

Mean: The quotient of the numbers added together then divided by the amount of numbers.

So if 9 were the missing number the median would be 5 because in ascending order it would look like this:

1, 3, 5, 7, 9

and as you can see 5 is in the middle.

The mean would also be 5 because

1+ 3+ 5 + 7 +9 =25

and 25 divided by 5 equals 5

So therefore the missing number must be 9.

(Also it was obvious that they just added 2 to each number)

(HELP) what is 10 1/2 ÷ 9 2/6 = ? (show ur work)

Answers

Answer:

9/8 or 1.125

Step-by-step explanation:

10 1/2 ÷ 9 2/6

= 21/2 ÷ 56/6

= 9/8

= 1.125

=》 See the attachment.

Hope it helps ⚜

1 1/8. See pics below for steps

Find Two consecutive positive integers such that the square of the larger integer is nineteen more than nine times the smaller integer

Answers

Answer:

9 and 10

Step-by-step explanation:

To start, let's have what we know:

a and b are two consecutive positive integers

a = first integer

b = second integer, 1 greater than variable a

b = a + 1

b^2 = 19 + 9a

To solve this, we would only have to substitute values in

b^2 = 19 + 9a

(a+1)^2 = 19 + 9a

a^2 + 2a +1     = 19 + 9a

       -9a -19    -19 - 9a

a^2 -7a - 18 = 0

a^2 + 2a - 9a - 18

a(a + 2) - 9(a+2) = 0

(a - 9)(a + 2) = 0

So solving this, we would get a = 9 or a = -2. Since this is supposed to be a positive integer, a will be 9.

Solving for b,

b = a + 1

  = 9 + 1

  = 10

Let me know in the comments if you have any questions! If you could mark this answer as brainliest, I would very much appreciate it!

Why does this happen?

Answers

Answer:

It is an exponential function

Step-by-step explanation:

With every growing value of x, it will multiply itself that many number of times.

Classify the following triangle. Check all that apply.

Answers

Answer:

acute and obtuse and scalene are the answers

18centimeters =_milimeters

Answers

18 cm = 180 mm

since 1cm = 10 mm

Answer:

180 mm

Step-by-step explanation:

1 cm = 10mm

= 18 x 10 = 180 mm

Convert 12/5 into a decimal

Answers

Answer:

2.4

Step-by-step explanation:

12/5 as a decimal is 2.4

Hope this helps!

Answer:

2.4

Step-by-step explanation:

You can either use long-division or a calculator! There's no way to write the exact steps, but let me know if you need them because I can try to write them out for you!

Solve for C⁰... photo above​

Answers

Answer:

c = 9

Step-by-step explanation:

Since angle d and 59 are on a right angle (indicated by the small square)

We can equate the sum of these angles to 90:

d+59=90

Now we subtract 59 from both sides:

d+59-59=90-59

d=31

Since angles d,c and 140 are on a straight line we can equate the sum of these 3 to 180:

c+d+140=180

Substitute d with 31 from previous working out:

c+31+140=180

Simplify:

c+171=180

Subtract 171 from both sides:

c+171-171=180-171

Simplify:

c= 9

In a coordinate plane, what is the distance between the points (−8,−5) and (7,−5)?

Answers

Since these two coordinates are on the same Y-axis, we can assume that this is a straight line and do not need to create a triangle and solve for the hypotenuse. The distance from -8 to 0 is 8, and the distance from 0 to 7 is 7. Meaning that the distance between the two points is 15 units.

Express 0.0426 in standard form

Answers

Answer:

4.26 × 10-2

Step-by-step explanation:

decrease 70 in the ratio 3:2​

Answers

Answer:

105

Step-by-step explanation:

What is an equation of the line that passes through the points (-4,-5) and
(-8, -2)?

Answers

Step-by-step explanation:

first we need to find the slope of the line.

the slope is the ratio of "y coordinate change / x coordinate change" when going from one point to the other.

we see here

x changes by -4 (from -4 to -8).

y changes by +3 (from -5 to -2).

so, the slope is +3/-4 = -3/4

there are two main forms for the equation of a line :

the slope-intercept form

y = ax + b

and the point-slope form

y - y1 = a(x - x1)

where "a" is the slope, and (x1, y1) is a point on the line.

we can pick any point, and I would pick (-4, -5).

so we get as point-slope form

y + 5 = -3/4 × (x + 4)

or for the slope intercept form we simplify the point-slope form

y + 5 = -3/4 x + -3/4 × 4 = -3/4 x - 3

y = -3/4 x - 8

Х
Number & Operations - 578
Caden has 40 chips that he wants to share evenly amongst 8 friends. Caden
takes 12 chips for himself before he splits the chips. How many chips does
each friend get? Are there any chips left over?
A) Each friend gets 3, there are 3 left over
B) Each friend gets 3, there are 4 left over
C) Each friend gets 3, there are 2 left over
D) Each friend gets 3, there are 5 left over

Answers

Answer:

B) Each friend gets 3, there are 4 left over

Step-by-step explanation:

Caden starts with 40 chips.

He takes 12 chips for himself.

40 - 12 = 28

He now has 28 chips left to divide evenly by 8.

28/8 = 3 remainder 4

Check: 3 × 8 = 24, and 24 + 4 = 28

Answer: B) Each friend gets 3, there are 4 left over

we need the (x,y) to tell us where?

Answers

Answer:

a point on a two-dimensional graph

Step-by-step explanation:

x is up and down, y is left and right

X is the horizontal shift of the point, and y is the vertical shift of the point.

For a party, Susan estimated there would be 14 people in attendance, but only 12 showed up. What was the percent error in her estimation?
10.7%
16.7%
10.3%
7.1%

Answers

Answer:

16.7% (rounded)

Step-by-step explanation:

Step 1. Make a proportion, which is 2/12 times x%/100

Step 2. Cross multiply = 2*100/12

Step 3. Solve = 16.(6) or, 16.7% rounded!

percent error = (error / actual) x100
(2 / 12) x 100 = 16.6 recurring
round up to 16.7


The diagram below shows the dimensions of a rectangular house with a
rectangular backyard.
40 ft House
Backyard
50 ft
30 ft
80 ft
What is the total area, in square feet, of the house and backyard?
A
200
B
400
с
4,000
D
5,200

Answers

Answer:

Your labels are weird and I can't tell what the dimensions are.

Step-by-step explanation:

Remember that the area of rectangles is the length times width. So The long side times the short side. There are two rectangles here so find the area of both and add them up.

I agree you need to number it make sure it’s there

two random samples of 25 people were asking how many 12 oz cans of soda they consume each week first sample contains both males and females aged 12 to 19 and females aged 20 to 39 thee results are shown in the table below. Sample 1: 16 11 9 12 11 10 10 8 15 0. 2 15 14 7 11 5 14 20 3 11 13 7 0 5 21. Sample 2: 18 14 0 7 5 7 10 7 6 9 12 3 14 4 11 16 0 10 9 5 0 16 11 2 4. (Show all work on these questions) A: Find the mean and MAD of Sample 1. B: how many data points in s1 are closer than one MAD from the mean of Sample 1. C: find the mean abs made of Sample 2. Part D: same thing as part b but with Sample 2.

Answers

Answer:

One inference that can be made is that the age group of 12-19 consume more sodas than the age group of 20-39.

Step-by-step explanation:

I need help will u determine the surface area of this pyramid
50 points​

Answers

Answer:

 [tex]224mm^{2}[/tex]

Basic fact:

area of a triangle = b x h /2

Step-by-step explanation:

we know the three main values

10mm

8mm

8mm

10 x 8 / 2

10 x 8 = 80

80/ 2 = 40

there are 4 of these

40 x 4 = 160

the base is l x w

8 x 8 = base

base = 64

64 + 160 = surface area

surface area = [tex]224mm^{2}[/tex]

the equation for this pyramid would be:

4LH (length x height) + LW( length x width)

or

4lh ( 8 x 10) + lw (8 x 8

Find the amount paid for the loan.

$2400 at 10.5% for 5 years.

Answers

Answer:

0.525

Step-by-step explanation:

10.5%x5

by definition p%=p/100

10.5/100x5

divide the numbers

0.105x5

multiply the numbers

0.525

Answer:

0.525 is correct answer. Please Mark it as brainlist answer.

HELP ASAP
On a map, 1/2 inch represents 4/5 mile. What distance on the map represents 1 mile? HINT. Remember Keep, Change, Flip
• 2/5
• 5/8
• 1 3/5
• 2 1/2​

Answers

Answer:

5/8

Step-by-step explanation:

please mark brainliest

PLEASE HELP WILL GIVE BRAINLIEST
Below is the table of values of a function. Write the output when the input is n.

Answers

If we look at the rest of the input and output, we also realize that:

         output = input + 5

Thus if the input is 'n' then the output is 'n+5'

Hope that helps!

HELP

Angel has a rectangular garden that is 15 feet longer than it is wide. A cement path that is 4 feet wide surrounds the garden. The total area of the path is 632 sq. ft. what are the dimensions of the garden?

Answers

Answer:

43 ft. long, 28 ft. wide, area is 1204 sq. ft.

Explanation:

I had to draw a diagram for this, and I scribbled all over it, so bear with me as I try to describe this:

The garden is x+15 ft long, and x ft wide. The path is x+23 ft long, and x+8 ft wide, because the path adds 4 ft all around. If you cut the path into smaller rectangles, and find the area of the rectangles, the path is concluded have an area of 16x+184 sq. ft. We already know the area of the path is 632 sq. ft, which in equation form is 16x+184=632. If you solve for x, you get 28 ft. That means the width of the garden is 28 ft. If the length is 15 ft. longer than the width, the length is 43 ft. I also calculated the area for just in case you need it. Let me know if this was helpful in the comments.

if ad=30 and dc=30 what is the length of bd

Answers

BD =√30 +√30

BD = 2√30

Here you go

Art and his friends spent $62 at the movies. Admission tickets cost $12 apiece, and a bucket of popcorn costs $7. Which equation written in standard form represents the number of tickets bought, t, and the number of buckets of popcorn bought, p?

12p + 7t = 62
7p + 12t = 62
12p = 62 – 7t
7p = 62 – 12t
.

Answers

Answer:

12p + 7t = 62

Step-by-step explanation:

Dora goes to a store and buys a phone originally priced at $45. The store is running a discount of 18%. What is the price of the phone after the discount?​

Answers

Answer: 8.1 $

Step-by-step explanation: 18 percent of 45 is 8.1 ez math hope this helps.

write the equations of the circle with center at -1,5 that passes through the point 2,9​

Answers

[tex]d = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \\ d = \sqrt{( {2 - ( -1))}^{2} + {(9 - 5)}^{2} } \\ d = \sqrt{ {3}^{2} + {4}^{2} } \\ d = \sqrt{9 + 16} \\ d = \sqrt{25} = 5 \: answer[/tex]

Find the distance around each figure.Use 3.14 for pi.

Answers

Answer:

13.) 257.08

14.) 33.57

Step-by-step explanation:

Assume you mean the perimeter.

The circumference is 2[tex]\pi[/tex]r, then just add the extra measurements

DIG DEEPER! A truck produces 22 pounds of carbon dioxide for every gallon of diesel
fuel burned. The fuel economy of the truck is 18 miles per gallon. Write and graph a
function that describes the relationship between carbon dioxide produced y and distance
traveled x.

Answers

Answer:

y=22    x=18

Step-by-step explanation:

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