Answer:
x = 4
Step-by-step explanation:
Let's find the length of JL as a first step. Knowing the result, we can easily find x.
|JL| 1
sin 30 degrees = ----------------- = --------
8√2 2
Then 2 |JL| = 8√2, or |JL| = 4√2
Next, find x: sin 45 degrees = x / |JL| = x / [4√2], and since sin 45 degrees is 1 / [√2],
1
x / [4√2] = -------- which results in x = 4
√2
Helppppp please it’s timed
Answer:
Estimated population of New Hampshire is
A. 35,000
I sincerely need help because I don’t understand. please write an equation and how to answer AT LEAST one question.
What is the area of the figure below?
3 in.
3 in.
5 in.
5 in.
3 in.
3 in.
7 in.
Answer:
68 inches squared
Step-by-step explanation:
First, let's find the area of the squares at the top and bottom. Area for a square is:
L * W = A
Plug in the values...
3 * 3 = 9
Therefore, the area of the two squares combined is 18 inches (since 9 + 9 = 18). Now, the hexagon in the middle, which is the hardest part. We will have to separate it into 4 triangles and a rectangle, for simplification. We need to find the base widths of the triangles, which are:
7 (total width) - 3 (middle width) / 2 (because there are two sides)
So it is:
(7 - 3)/2
4/2 = 2
So, the base of the triangle is two inches. We also know that the height of the triangle is five inches. The formula for the area of a triangle is:
(B * H)/2 = A
Fill it in...
(2 * 5)/2
10/2 = 5 inches
So, the area of each triangle is 5 inches. Since there are four triangles, we need to do:
5 * 4 = 20 inches
That means that all of the triangles combined is 20 inches. Lastly, we need the middle part of our hexagon. It is 10 inches tall, and three inches wide. So...
L * W = A
10 * 3 = 30
So, that means that the area of the hexagon is:
30 + 20 = 50
Plus, the two squares from the beginning:
50 + 18 = 68 inches squared
Therefore, the area of the figure is 68 inches. Hope this helps you!
PLEASE HELP I WILL MARK BRAINLIEST
40 points!
You are framing a picture with a frame of equal width on each side.
a. Write a polynomial that represents the area of the picture including the frame
b. Find the area of the picture including the frame when the width of the frame is 2 inches
Answer:
Part A)
The polynomial is:
[tex]A=4(x+8)(x+10)[/tex]
Or, expanded:
[tex]A=4x^2+72x+320[/tex]
Part B)
When the width of the frame is two inches, the area of the picture including the frame is 480 square inches.
Step-by-step explanation:
Part A)
For solely the picture, the width is 16 inches, and the length is 20 inches.
If we include the width of the frame, then we will have to add x to both sides of the 16 inches. Then the new width will be (16 + 2x) inches.
Likewise, the new length will be (20 + 2x) inches.
The area of a rectangle is given by its width multiplied by its length. Then the polynomial that represents the area will be:
[tex]A=(16+2x)(20+2x)[/tex]
To simplify calculations, we can factor out a two from both factors. Thus:
[tex]A=2(8+x)\cdot 2(10+x)=4(x+8)(x+10)[/tex]
Expanded, this will be:
[tex]A=4(x^2+18x+80)=4x^2+72x+320[/tex]
Part B)
When the width of the frame is two, x = 2. Then the area is:
[tex]A=4(2+8)(2+10)=4(10)(12)=40(12)=480\text{ inches}^2[/tex]
The area of the picture including the frame will be 480 square inches.
-5x - 5 > 15 solve this inequality
Answer:
-5×-5>15
+5 +5
-5×>20
÷-5 ÷-5
x<-4
whe you divide by a negativr you flip the sign
Which order pair could represent the location of point h
(I will give brainiest) Chelsea has just started her own flower business appropriately named Flowers by C.
She knows that she needs to order carnations and roses for her grand opening in order to make
bouquets and vases to sell. She can order a maximum of 300 carnations and 250 roses. The following inequalities represent the total number of bouquets and vases she can make given the
orders she places. Let x represent the number of bouquets and y represent the number of vases.
If she wants to make 18 vases, what is the maximum number of bouquets she can make?
Answer:
x < -3/5y+ 30
Step-by-step explanation:
x < -3/5y+ 30 for the first one
addboth sides by 6y then divideboth sides by 10
Subtracting fractions with unlike denominators
Answer:
Answer is 9/8
Step-by-step explanation:
18/8-9/8=9/8
Answer:
9/8
Step-by-step explanation:
9/4 - 9/8
9/4 x 2 = 18/8 to match denominators
18/8 - 9/8
= 9/8
Need help asap !!!! It also said round to the nearest tenth
Answer:
4524.9
Step-by-step explanation:
Area of a parallelogram:
A = bh
A = 63 x 90
A = 5670
Area of half-circle:
A = (πr²)/2
A = (π x 27²)/2
A = (π x 729)/2
A = 729/2π
Combined:
5670 - 729/2π
4524.9
Which list orders the numbers from least to greatest
HURRY PLEASE
A teacher surveyed her class after they had taken a vocabulary test. Elghteen of the students claimed they had studled
at least one hour for the test. The remaining twelve students admitted that they had not studied for the test at all. The
test results (expressed as a percent) for the two groups are shown below.
Studied: 87, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 83
Did Not Study. 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89
Part 1: Calculate the mean of the group that did not study, rounded to the nearest tenth.
Part 2: Calculate the mean absolute deviation of the group that did not study, rounded to the nearest tenth.
Part 3: How many of the scores (from the group that did not study) are more than two mean absolute deviations from the
mean?
Answer:
Crown the other person brainliest
Step-by-step explanation:
:)
can yu write a linear equation for this
Answer:
Step-by-step explanation:
Answer: 0.5x + 5 = 20Please mark as brainliest for future answers :)
Answer:20
Step-by-step explanation:
Triangle PQR has vertices at the following coordinates: P(0, 1), Q(3, 2), and R(5, -4). Determine whether or not triangle PQR is a right triangle. Show all calculations for full credit.
Answer:
it's a right angled triangle
The first three terms of a geometric sequence are as follows.
2, -10, 50
Find the next two terms of this sequence.
Give exact values (not decimal approximations).
Answer:
-250, 1250
Step-by-step explanation:
The pattern is to multiply by -5.
2,-10, 50, -250, 1250
Right triangle ABC is shown below. Write an equation that can be used to determine the angle measure, in degrees, of angle DBC. Then determine the measure of n
Answer:
Step-by-step explanation:
Find the value of x.
PLS HELP | Shen invested in a savings bond for 4 years and was paid simple interest at an annual rate of 6%. The total interest that he earned was $2160. How much did he invest?
Answer:
Shen invested $9000.
Step-by-step explanation:
The simple interest formula is i = prt, where p is the principal amuont, r is the annual interest rate as a decimal fraction and t is the time in years.
Here, $2160 = P*0.06*(4 yrs), so:
$2160
P = ----------------- = $9000
0.24
Please help!
How are 3(3x+5) and -9x-15 equivalent to 9x+15?
is y = 7/8x proportional or non-proportional??
Answer:
It is proportional
Step-by-step explanation:
May have brainllest I only need 39 more to get to genius
9. State Bank pays 5.5 percent interest compounded semiannually on regular
savings accounts. Iva Howe deposited $2,800 in a regular savings account for
2 years. She made no other deposits or withdrawals during the period. How
much interest did her money carn?
How do I calculate the volume of this prism?
The diameter of a spherical basketball is 10 inches.
What is the volume of the basketball2
Give the exact solution.
Volume
I NEED THE ANSWER FAST HELPP PLEASE
Answer:
Step-by-step explanation:
Rounded volume: 524 cubic inches.
Step-by-step solution:
The formula for the volume of a sphere is:
Where r is the radius of the sphere.
The radius is half the diameter, therefore it is r=10/2=5
We plug it into the formula and we get:
Then we get:
If we do it in our calculator we get 523.599 that rounded to the nearest whole is 524 cubic inches .
Que funciones madre tienen su punto de inicio en el origen
Answer:
Funciones radicales
Step-by-step explanation:
Funciones radicales Esto significa que el dominio y el rango de y = √x son ambos [0, ∞). El punto de partida o vértice de la función padre también se encuentra en el origen. La función madre y = √x también aumenta en todo su dominio.
help this is khan academy
Answer:
20
Answer:
20
Step by step:
v = l × w × h
v = 2 × 2× 5
v = 4 × 5
v = 20
It wants me to find m∠2 from this
Answer:
Alternate interior angles have the same measure. As we know that 'angle 1 ' and 50° are alternate interior angles hence they must be equal. Also we now that sum of all the angles of a triangle is equal to 180°. Hence, m∠2=15°
Step-by-step explanation:
Answer:
90°
Step-by-step explanation:
This is a kite.
The angle measures of the diagonals (the lines in the middle) are always going to be 90° if they looks like this without any other measures. This goes for all other quadrilaterals as well.
m∠2=90°
Hope I helped.
donner l'écriture scientifiques des nombres ci-dessous
500 000 000=
650 000=
58 400 000 000=
0,000 6=
0,000 032=
0,000 000 072 3=
Answer:
Step-by-step explanation:
salut :
500 000 000= 5× 10^8
650 000= 6,5 ×10^4
58 400 000 000= 5.84 ×10^8
0,000 6= 6×10^-4
0,000 032= 3.2 ×10^-4
0,000 000 072 3= 7.23 × 10^-8
0,000 000 072 3=7,23×10^-7
Find the length of arc JK.
(Round to the nearest hundredth).
Convert Ø to radians
30°=π/6Arc length
s=rØs=2(π/6)s=3.14/3s=1.04ftJordan bought 3 bottles of water at the amusemen park. If the total cost of the water was $6, which equation could be used to find the cost of each bottle of water?
PLEASEEE HELP ME I NEED THIS FOR MY EXAMMM
HELP!!! answer quickly pls
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Each of the green lines has 3 times the length of the corresponding blue line. Thus the dilution factor is 3.