ANSWER
See below
EXPLANATION
To solve the triangle means to find all sides and angles.
The right triangle has an angle of 38 degrees and an opposite leg of 12 yards
The third angle is 90-38=52°
We use the sine ratio to find the hypotenuse, h.
[tex] \sin(38 \degree) = \frac{opposite}{hypotenuse} [/tex]
[tex] \sin(38 \degree) = \frac{12}{h} [/tex]
[tex]h = \frac{12}{ \sin(38) } [/tex]
[tex]h = 19.49[/tex]
The hypotenuse is 19.49 yards to the nearest hundredth.
We can find the adjacent leg using the cosine ratio.
[tex] \cos(38) = \frac{adjacent}{hypotenuse} [/tex]
[tex]\cos(38) = \frac{a}{19.49} [/tex]
[tex]a = 19.49 \cos(39) [/tex]
[tex]a = 15.36[/tex]
to the nearest hundredth.
10 points One question NEED TO SHOW WORK
Answer:
h = 3πx
Step-by-step explanation:
The volume (V) of the cylinder is calculated using the formula
V = πr²h ( r is the radius and h the height )
V = π × x² × 3x = 3πx³
The volume of the cuboid therefore has volume of 3πx³, that is
x × x × h = 3πx³
x²h = 3πx³ ( divide both sides by x² )
h = 3πx³ ÷ x² = 3πx
Tate has a bag of golf balls. 3 red 5 blue 2 yellow 2 green. What is the probability that he pulls out a blue one?
5/11 or 2.2 I believe you do this bye adding all them up and put the 5 as the numortor and 11 as the bottom
Answer:
1/22
Step-by-step explanation:
what is the slope of (2 , -2) (0,4)
Answer:
-3
Step-by-step explanation:
The slope for two points is found by
m = (y2-y1)/(x2-x1)
= (4--2)/(0-2)
= (4+2)/(0-2)
= (6/-2)
=-3
Answer:
The slope is -3
Step-by-step explanation:
[tex]\frac{y}{x}[/tex]
You do the change in y over the change in x
[tex]\frac{-2 - 4}{2 - 0}[/tex]
which equals
[tex]\frac{-6}{2} = -3[/tex]
A needle is 2 inches long. A piece of ribbon is 6 feet long. Which diagram and statement best represents their lengths?
The answer is D . The bottom right corner .
The diagram and statement that best represents their lengths is as follows:
The ribbon is 36 times as long as the needle.
LengthLength is use to identify the size of an object or the distance.
The needle is 2 inches long
The piece of ribbon is 6 feet long.
Let's convert the sizes to same unit to be able to compare them . Therefore,
12 inches = 1 ft
2 inches = ?
Therefore, 2 inches = 2 / 12 = 1 / 6 ft
Therefore, the ribbon is 36 times as long as the needle.
1 / 6 × 36 = 6 ftlearn more on length here: https://brainly.com/question/5870703?referrer=searchResults
Find the height of a prism if the base is a right triangle with legs 3 inches and 5 inches, and the volume of the prism is 150 cubic inches
Answer:
the height is 20 inches
Step-by-step explanation:
Answer: 20 inches
Step-by-step explanation:
This is a triangular prism, we first need to find the area of the triangle!
A (triangle) = 1/2 x base of triangle x height of triangle
A = 1/2 x 3 x 5 = 7.5 square inches
Now lets work out the height of the prism, we can use the volume of the prism to do so.
V = Area of triangle x height
150 = 7.5 x height
Height = 150/7.5 = 20 inches
List in order from least to greatest
Answer:-5/6 -1/6 5/3
Given: ΔXYZ
AB is a midsegment parallel to XY. The slope of AB is
2
3
.
What is the slope of XY?
A) 0
B) -
2
3
C)
2
3
D) undefined
Answer:
C) 2/3Step-by-step explanation:
If AB is parallel to XY, then they have the same slope.
If the slope of AB is 2/3, then the slope of XY is 2/3 too.
NEED ANSWER ASAP
the expression below is the factor of what trinomial -6(x+6)(x+7)
Answer:
[tex]-6x^{2}-78x-252[/tex] or [tex]-(6x^{2}+78x+252)[/tex]
Step-by-step explanation:
we have
[tex]-6(x+6)(x+7)[/tex]
Applying distributive property
[tex]-6(x+6)(x+7)=-6[x^{2}+7x+6x+42]\\=-6[x^{2} +13x+42]\\=-6x^{2}-78x-252\\=-(6x^{2}+78x+252)[/tex]
picking a purple marble from a jar with 10 green and 10 purple marbles
Answer:
9 purple 10 green
Step-by-step explanation:
20 total- you have a 50 50 chance (50 percent) to get either color
Please help me! I do not understand one of the questions and it would be outstanding if you could help me! I'm sorry if I seem a little desperate, I've been working on this quiz for the past hour.
Dan wants to arrange his red, blue, and green bags in a row on a shelf, where R is red, B is blue, and G is green. Which tree diagram best shows the sample space of all the possible ways to arrange the three bags in a row on a shelf?
Option one: A tree diagram is shown. The lines branch out to R, B, and G. In the first row, the lines branch out from R to B to G and from R to G to R. In the second row, the lines branch out from B to R to G and from B to G to B. In the last row, the lines branch out from G to R to B and from G to B to R.
Option two: A tree diagram is shown. The lines branch out to R, B, and G. In the first row, the lines branch out from R to B to B and from R to G to B. In the second row, the lines branch out from B to R to B and from B to G to R. In the last row, the lines branch out from G to R to B and from G to B to R
Option three: A tree diagram is shown. The lines branch out to R, B, and G. In the first row, the lines branch out from R to B to G and from R to G to B. In the second row, the lines branch out from B to R to G and from B to G to B. In the last row, the lines branch out from G to R to B and from G to B to G.
Option four: A tree diagram is shown. The lines branch out to R, B, and G. In the first row, the lines branch out from R to B to G and from R to G to B. In the second row, the lines branch out from B to R to G and from B to G to R. In the last row, the lines branch out from G to R to B and from G to B to R.
Thank you in advanced for helping me, it really means a lot. I don't know where I would be without you all, thank you! <3
See the attached image. The tree should consist of paths (left-to-right) that exhaust all the possible arrangements. 3 choices for the first bag (R, G, or B), 2 choices for the second (color availability depends on the first bag), and 1 for the third (again dependent on previous color), so there are [tex]3\cdot2\cdot1=3!=6[/tex] possible arrangements/permutations.
Answer: It's option 4
Step-by-step explanation: Let me fill you in on a trick I learned and why this is right so... every time you see a tree diagram like this you have to make sure that each letter across from each other match EX. P Q
Q P
See how p and p match across from each other that means it's correct here's why because each time you have a tree diagram you have EX. Q P but now you have to find another way you can make it and another way is to flip it when EX. Q P now if you flip it...
P Q
Now if you do this the letters end up matching every time which is how you know it's correct.
I know this looks long but its actually an easy trick to understand I hope you get what I'm saying hope this helps have a good day !
i’ll mark brainliest please help
Answer:
False
Step-by-step explanation:
The distance between two points is found by
d = sqrt((y2-y1)^2 + (x2-x1)^2)
= sqrt( (4-7)^2 + (6-2)^2)
=sqrt( 3^2 +4^2)
= sqrt(9+16)
=sqrt(25)
= 5
Answer:
False
Step-by-step explanation:
Because....
[tex]\sqrt[]{(6-2)^2+(4-7)^2}[/tex][tex]\sqrt{(4)^2 +(-3)^2}[/tex][tex]\sqrt[]{16+9}[/tex][tex]\sqrt{25}[/tex] ≈ 5 NOT 6 units* Hopefully this helps:) Mark me the brainliest:)!!!
∞ 234483279c20∞
Jolene invests her savings in two bank accounts, one paying 6 percent and the other paying 9 percent simple interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual interest is 7266 dollars. How much did she invest at each rate?
Amount invested at 6 percent interest is $
Amount invested at 9 percent interest is $
Answer:
Amount invested at 6 percent interest is $69,200
Amount invested at 9 percent interest is $34,600
Step-by-step explanation:
Let the amount invested (or principal) at 6 percent interest be $2x
The principal(P) (amount invested) at 9 percent interest will be $x
Amount(A) = P(1 + rt)
Time(t) = one year = 1
Amount at 6% interest = 2x(1 + 0.06) = $2.12x
Interest accumulated = Amount - Principal = $2.12x - $2x = $0.12x
Amount at 9% interest = x(1 + 0.09) = $1.09x
Interest accumulated = Amount - Principal = $1.09x - $x = $0.09x
Total interest = $7,266
So, $0.12x + $0.09x = $7,266
$0.21x = $7,266
x = [tex]\frac{7,266}{0.21}[/tex] = $34,600
The principal (amount invested) at 9 percent interest rate is $34,600
The principal (amount invested) at 6 percent interest rate is 2 × $34,600 = $69,200
The number of tickets sold is an example of continuous data. True or False?
Answer:
False
Step-by-step explanation:
Continuous data is data that can take any value within a range, including non-whole number values.
Because the number of tickets sold can only take whole number values, it is not an example of continuous data.
False
I hope this helps you understand continuous data. Have a great day. :)
Answer: False
Step-by-step explanation: Continuous data is data that can be measured. The number of tickets that were sold would only be positive integers meaning that there can't be a fraction of a ticket sold. Since discrete data is data that can be counted, the number of tickets sold would be an example of data that is discrete.
Please Answer Attachment Below Thanks
Answer:
Step-by-step explanation:
The interior angles of a heptagon add up to 5*180 = 900
So
x + 143 + 116 + 135 + 135 + 116 + 155 = 900 Add up the known angles
x + 800 = 900 Subtract 800 from both sides
x + 800 - 800 = 900 - 800 Combine
x = 100
Please help:):):) Your awesome
Answer:
Q1: 11x - 8
Q2: 2x + 10
Q3: -3v + 12
Answer:
Q1: 11x + 8
Q2: 2x + 10
Q3: 3v - 12
Joey can put together 4 budgets in 2 minutes. What is the unit rate for one burger?
30 seconds/per burger
Answer:
30 seconds
Step-by-step explanation:
4 burgers in 2 mins
1 burger
= 2 ÷ 4
= 0.5 min
= 30 seconds
I still need help answering these questions
Answer:
[tex]-2\frac{2}{3} y^{2} -1\frac{8}{9}y -3\frac{1}{9}[/tex]
Step-by-step explanation:
solve by completing the square x^2+12x+32=0
Answer:
hello : x = - 4 or x = - 8
Step-by-step explanation:
x²+12x+32=0
(x² +2(6)(x) +6²) - 6² +32 = 0....by completing the square
(x + 6 )²- 2² = 0
(x+6-2)(x+6+2)=0 by idetity : a² - b² = (a - b ) ( a + b )
(x+4)(x+8) =0
x+4=0 or x+8= 0
x = - 4 or x = - 8
Answer:
x = - 8, x = - 4
Step-by-step explanation:
Given
x² + 12x + 32 = 0 ( subtract 32 from both sides )
x² + 12x = - 32
To complete the square
add (half the coefficient of the x- term)² to both sides
x² + 2(6)x + 6² = - 32 + 6²
(x + 6)² = - 32 + 36 = 4
Take the square root of both sides
x + 6 = ± 2 ( subtract 6 from both sides )
x = - 6 ± 2
Hence
x = - 6 - 2 = - 8
x = - 6 + 2 = - 4
What part of 5 3/5 is 7/10
Answer:
[tex]\frac{7}{10}[/tex] is [tex]\frac{1}{8}[/tex] of [tex]5\frac{3}{5}[/tex]
Step-by-step explanation:
step 1
we know that
To find what part of [tex]5\frac{3}{5}[/tex] is [tex]\frac{7}{10}[/tex], divide [tex]\frac{7}{10}[/tex] by [tex]5\frac{3}{5}[/tex]
but
First convert mixed number to an improper fraction
[tex]5\frac{3}{5}=\frac{5*5+3}{5}=\frac{28}{5}[/tex]
so
substitute
[tex]\frac{(7/10)}{(28/5)}=\frac{7}{56}=\frac{1}{8}[/tex]
therefore
[tex]\frac{7}{10}[/tex] is [tex]\frac{1}{8}[/tex] of [tex]5\frac{3}{5}[/tex]
Evaluate 2x^-4y for x = 2 and y = 4. -64 1/8 1/2
ANSWER
[tex] \frac{1}{2} [/tex]
EXPLANATION
The given expression is;
[tex]2 {x}^{ - 4} y[/tex]
We want to find the value of this expression when x=2 and y=4.
We substitute to get,
[tex]2 {(2)}^{ - 4} (4) [/tex]
[tex]8 \times {2}^{ - 4} [/tex]
Recall that
[tex] {a}^{ - m} = \frac{1}{ {a}^{m} } [/tex]
This implies that,
[tex]8 \times {2}^{ - 4} = 8 \times \frac{1}{ {2}^{4} } [/tex]
[tex]8 \times {2}^{ - 4} = 8 \times \frac{1}{16 } = \frac{1}{2} [/tex]
Answer:
Step-by-step explanation:
The length of a rectangle is 11 centimeters less than four times its width. Its area is 45 centimeters. Find the dimensions of the rectangle
Answer:
The answer is length: 9, width: 5
Step-by-step explanation:
5 x 9 = 45
5 x 4 = 20
20 - 11 = 9
Hope this helps :P
The length of a rectangle is 9 cm and width of the rectangle is 5 cm.
What is Area of Rectangle?The area of Rectangle is length times of width.
Length of a rectangle is 11 centimeters less than four times its width.
Length=4W-11
Width=W
Area=45
Area=Length×Width
=(4w-11)w
45=4w²-11w
4w²-11w-45=0
After applying a =4, b=-11 and c=-45 in the quadratic formula
we get w=5
Plug in the value of w in length
Length=4W-11
=4(5)-11
=20-11
=9
Hence, the length of a rectangle is 9 cm and width of the rectangle is 5 cm.
To learn more on Rectangle click:
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If f(12)=4(12)-20 which function gives f(x)
hope it helps you!!!!!!!!!!
Enter the number that belongs in the green box
Answer:
x=96°
y=96°
Step-by-step explanation:
y=84° because of vertical angles. the measure of all 4 angles added together is 360°, so we add the 84° and the other 84° angle, and subtract them from 360° to get the sum of the other two angles
360°-(84°+84°)=192°
divide 192° by 2 to get the measure of one angle
therefore, x=96°
Answer:
x = 96 and y = 84
Step-by-step explanation:
Given
A Point
Angles x,y and 84 degrees
Required
Find x and y
First, we should note that angle x and 84 degrees are supplementary.
Two angles are said to be supplementary if they add up to 180 degrees
i.e. x + 84 = 180
x + 84 = 180
Make x the subject of formula
x = 180 - 84
x = 96
In the similar vein, angle x and y are supplementary.
so, x + y = 180
Substitute 96 for x
So, we have
96 + y = 180
make y the subject of formula
y = 180 - 96
y = 84
Hence, x = 96 and y = 84
If y varies inversely with x and y =5 when x=2.5 what is the value of y when x=20
Answer:
If x = 20, then y = 12.5/20 = 0.625
Step-by-step explanation:
The pertinent relationship is y = k/x, where k is the constant of proportionality.
Subbing 5 for y and 2.5 for x yields 5 = k/2.5, so k = 12.5.
Then the specific relationship fit to this problem is y = 12.5/x.
If x = 20, then y = 12.5/20 = 0.625
Find x pleeeasssseee
the answer will beeeeeeeeeeeeeeeeee c
The answer to your question is b
if y varies directly as z and inversely as x and y=16 and z=2 when x=42, find y when x=14 and z=8
*Edit* It's high school math. Forgot to change it from middle.
Answer:
y = 192
Step-by-step explanation:
Given y varies directly as z and inversely as x then the equation relating them is
y = [tex]\frac{kx}{z}[/tex] ← k is the constant of variation
To find k use the condition y = 16 and z = 2 when x = 42
k = [tex]\frac{yx}{z}[/tex] = [tex]\frac{16(42)}{2}[/tex] = 336
y = [tex]\frac{336z}{x}[/tex] ← equation of variation
When x = 14 and z = 8, then
y = [tex]\frac{336(8)}{14}[/tex] = 192
Helpppp show work please
So, input into distance formula to get ....
√(22-(-18))²+(0-9)²
√1600+81
√1681 is about 41.
Answer:
41 units
Step-by-step explanation:
Distance equation: Distance = √((x₁ - x₂)² + (y₁ - y₂)²), where (x₁, y₁) is one coordinate, and (x₂,y₂) is the other.
Plug in: √((-18 - 22)² + (9 - 0)²)
Add: √((-40)² + (9)²)
Exponents: √(1600 + 81)
Add: √1681
Square roots: ± 41
Domain: 41 units (negatives are not allowed)
solveing systems of equations by substitution y=6x-11 -2x-3y=-7
[tex]\bf \begin{cases} \boxed{y}=6x-11\\ \cline{1-1} -2x-3y=-7 \end{cases}\qquad \implies \stackrel{\textit{substituting \underline{y} in the 2nd equation}}{-2x-3\left( \boxed{6x-11} \right)=-7}[/tex]
[tex]\bf -2x-18x+33=-7\implies -20x+33=-7\implies -20x=-40 \\\\\\ x=\cfrac{-40}{-20}\implies \blacktriangleright x=2 \blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that }}{y=6x-11}\implies y=6(2)-11\implies y=12-11\implies \blacktriangleright y=1 \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (2,1)~\hfill[/tex]
Step 1: Plug 6x - 11 in for y in the equation -2x - 3y = -7
-2x - 3(6x-11) = -7
Step 2: Distribute -3 to the numbers inside the parentheses (6x -11)
-2x - 18x + 33 = -7
Step 3: Combine like terms
x's go with x's
-20x + 33 = -7
Step 4: Subtract 33 to both sides
-20x = -40
Step 5: Isolate x by dividing -20 to both sides
x = 2
Step 6: To solve for y plug 2 in for x in the equation y = 6x - 11
y = 6(2) - 11
y = 12 - 11
y = 1
(2, 1)
Check:
1 = 6(2) - 11
1 = 12 - 11
1 = 1
-2(2) - 3(1) = -7
-4 - 3 = -7
-7 = -7
Hope this helped!
ILL MARK YOU AS BRAINLIEST, RATE YOU A 5, AND THANK YOU! 70 POINTS!
what is the surface area of this rectangular prism? i-ready
Answer:
290 in²Step-by-step explanation:
From the net:
S.A. = 2(25 in²) + 4(60 in²) = 50 in² + 240 in² = 290 in²
From the model:
The formula of a Surface Area of a rectangular prism:
S.A. = 2(lw + lh + wh)
l - length
w - width
h - height
We have l = 5 in, w = 5 in, and h = 12 in. Substitute:
S.A. = 2(5 · 5 + 5 · 12 + 5 · 12) = 2(25 + 60 + 60) = 2(145) = 290 in²
Answer: 290 in.^2
Step-by-step explanation: Just did on iready. Hope i helped! (:
What is the expression (3x²y³) ³
Final answer:
The expression (3x²y³) ³ is found by cubing the coefficient and multiplying each variable's exponent by 3, which results in 27x⁶y⁹.
Explanation:
When we deal with the cubing of exponentials, as in the expression (3x²y³) ³, both the numerical coefficient and the variables with their exponents are raised to the power of 3. The rules of exponents guide us to cube the number 3 and multiply the exponents of x and y by 3.
To cube the number 3, we would calculate 3³, which equals 27. For the variables, we apply the exponent to each exponent: x raised to the 2³ (which is 6) and y raised to the 3³ (which is 9). Hence, the expression (3x²y³) ³ simplifies to 27x⁶y⁹. This demonstrates that when cubing an exponential expression, we obtain a new exponent for each variable by multiplying the original exponent by 3, and we cube the numerical coefficient as well.