Answer:
A≈10.83cm²
Step-by-step explanation:
Unit Conversion:
P=15cm
Using the formulas
A=3
4a2
P=3a
Solving forA
A=3P2
36=3·152
36≈10.82532cm²
Answer:
10.8 cm^2 to nearest tenth.
Step-by-step explanation:
You can use Hero's formula to do this:
Area = √[s(s-a)(s-b)(s-c)] where s = semi-perimeter, a b and c are the lengths of the 3 sides,
Here s = 15/2 = 7.5 and a, b and c = 5.
area = √(7.5 * 2.5 * 2.5 * 2.5)
= √117.1875
= 10.8253.
Another method would be to use trigonometry
h = 5 sin 60 and 1/2 * base = 1/2 * 5 = 2.5
So area = 5 sin60 * 2.5 = 10.8253,
find the product of (p+3q2)pq
Answer:
p²q + 3pq³
Step-by-step explanation:
(p + 3q²) pq ← multiply each term in the parenthesis by pq
= p²q + 3pq³
Pablo wants to pour 82.69 grams of salt into a container. So far, he has poured 38.4 grams. How much more salt should Pablo pour?
please help =)
helppppp
Answer:
44.29 grams
Step-by-step explanation:
82.69 - 38.4 gives you 44.29.
44.29 + 38.4 gives you 82.69.
Which group(s) reported having the widest range of time to relax? Please estimate what that range is.
Answer:
Divorced ; Never married
Step-by-step explanation:
The range of a dataset can be obtained from a boxplot by taking the difference of the readings of the minimum and maximum values. These values are culled from the boxplot by taking the reading on the endpoint of the lower whisker and endpoint of the upper whisker respectively. In the figure Given, we Can deduce that the divorced group and never married group have the widest range of time to relax
Maximum = 8
Minimum = 0
Estimated range: Maximum - Minimum = (8 - 0) = 8
I NEED HELP IMMEDIATELY!!!! PLS HELPP. PLS DO NOT GUESS EITHER BUT PLS CMON AND HELP ME PLSSS
Answer:
The Clubhouse and the Swimming Pool
Step-by-step explanation:
If you look closely the points are on the buildings. The X axis is left to right.
The Clubhouses coordinate is (12,12) but the Swimming Pools coordinates is (8,12). They have the same X-Axis
Answer:
club house and swimming pool
Step-by-step explanation:
club house and swimming pool both have an x-coordinate of 12.
What is simplifying? I honestly know what it is, but I forgot the definition.
Select the equation that represents the graph of the line y=x-1 y=1/2x-1 y=1/2x + 2 y=x+2
Answer:
[tex]y = \frac{1}{2}x - 1[/tex]
Step-by-step explanation:
Given
See attachment for graph
Required
The graph equation
First, pick any two corresponding points on the line
[tex](x_1,y_1) = (2,0)[/tex]
[tex](x_2,y_2) = (4,1)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
This gives:
[tex]m = \frac{1 - 0}{4 - 2}[/tex]
[tex]m = \frac{1}{2}[/tex]
The line equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
Where
[tex](x_1,y_1) = (2,0)[/tex]
[tex]m = \frac{1}{2}[/tex]
So:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = \frac{1}{2}(x - 2) + 0[/tex]
[tex]y = \frac{1}{2}x - 1 + 0[/tex]
[tex]y = \frac{1}{2}x - 1[/tex]
HURRY! Roberto concluded that 8th graders are more likely than 9th graders to have a summer job because more 8th graders than 9th graders responded that they have a summer job. Is Roberto correct? Explain why or why not
Answer :What words or phrases did the author use to express his opinion about city gardening?
Step-by-step explanation:
DUS is a 30°-60°-90° triangle with short leg SU. If SU = x, determine the
length of the long leg and the length of the hypotenuse.
Answer:
SD = 2x
UD = x[tex]\sqrt{3}[/tex]
Step-by-step explanation:
The hypotenuse of a 30-60-90 triangle is 2 times the length of the shorter leg.
SU is the shorter leg = x
So, SD = 2x
The longer leg of a 30-60-90 triangle is [tex]\sqrt{3}[/tex] times the shorter leg.
So, UD = x[tex]\sqrt{3}[/tex]
Answer:
Below in bold.
Step-by-step explanation:
In a 30-60-90 triangle the sides are in the ratio 1:√3:2 so if the shortest side SU = x then the long leg = √3x and the hypotenuse = 2x.
A circle has a radius of 17 in. Find the length s of the arc intercepted by a central angle of 0.7 radians.
Round your answer to the nearest tenth .
Given:
The radius of the circle is 17 in.
Central angle of intercepted arc is 0.7 radians.
To find:
The length s of the intercepted arc.
Solution:
The formula for the length of intercepted arc is:
[tex]s=r\theta[/tex]
Where, r is the radius of the circle and [tex]\theta [/tex] is the central angle in radians.
Substituting [tex]r=17,\ \theta =0.7[/tex] in the above formula, we get
[tex]s=17\times 0.7[/tex]
[tex]s=11.9[/tex]
Therefore, the length of the intercepted arc is 11.9 inches.
Find the percent of change.
A coat costs $250 and is on sale
for $100.
The percent of change in price is________
Answer:
150
Step-by-step explanation:
250 - 100
pls ans.thanks a lot
Answer:
you're answer is -2
Step-by-step explanation:
i hope this helped you have a nice day :)
I need the answer to this equation
y-x=20 I need the slope and y intercept pls help
Answer:
slope: 1
y-intercept: (0,20)
Step-by-step explanation:
hope this helps
Answer:
slope: 1
y-intercept: (0, 20)
find the mode from the given below:
b. Age
Age &
No.of stule
10
20
28
210
22
16
Answer:
no mode
Step-by-step explanation:
because their is no reptetion on the number
Please help I’m failing the class!! also please show your work if possible thanks!
9514 1404 393
Answer:
m∠c = 52°
Step-by-step explanation:
Corresponding angles are congruent:
13x +11° = 15x -7° . . . . . the corresponding angles have equal measures
18° = 2x . . . . . . . . . . . . add 7° -13x to both sides
9° = x . . . . . . . . . . divide by 2
Now, we can find c. It is supplementary to the corresponding angles.
c = 180° -(15x -7°) = 180° -15(9°) +7° . . . . . substitute for x
m∠c = 52°
Find the value of x.
The formation of the solar system
Step-by-step explanation:
Our solar system formed about 4.5 billion years ago from a dense cloud of interstellar gas and dust. The cloud collapsed, possibly due to the shockwave of a nearby exploding star, called a supernova. When this dust cloud collapsed, it formed a solar nebula—a spinning, swirling disk of material.
Answer:
Our solar system formed about 4.5 billion years ago from a dense cloud of interstellar gas and dust. The cloud collapsed, possibly due to the shockwave of a nearby exploding star, called a supernova. When this dust cloud collapsed, it formed a solar nebula—a spinning, swirling disk of material. It was gaseous, filled with billions of stars.
Mark me brainliestt :)) ehehe
An art class contains 87 jars of paint. One third of the paint colors is red the remaining two thirds is purple.what is the ratio of purple paint to red paint.
9514 1404 393
Answer:
2 : 1
Step-by-step explanation:
purple : red = (2/3) : (1/3) = 2 : 1
The ratio of purple paint to red paint is 2 : 1.
Answer:
Solution :-⅓ are red
So,
No. of red colors = 1/3 × 87 = 29
No. of purple colors = 2/3 × 87 = 2 × 29 = 58
So,
Ratio = 58:29
Ratio = 2:1
[tex] \\ [/tex]
Write a polynomial expression that has the following characteristics: The polynomial expression is a trinomial. The polynomial expression has degree 2. The leading coefficient is -5. 6
Answer:
[tex] { - 5.6}xy ^{2} + yx + 2x[/tex]
HELP ASAP PLEASE
(3^2)^4
Answer:
6561
Step-by-step explanation:
3^2= 3*3=9 9^4= 9*9*9*9= 6561
Answer:
[tex]((3)^2)^4 = (9)^4 = 6561\\\\\\OR\\\\\\(3)^2)^4= 3^8 = 6561[/tex]
Mancuso wants to draw a sector whose area is 2 times the area of the sector shown
Which method will NOT work?
Answer:
Multiply the radius, r, by 2. Keep the angle measure x.
Step-by-step explanation:
The area of the sector whose area is double as that of given sector is : A{new} = {x/90} × πr².
What is function?A function is a relation between a dependent and independent variable.
Mathematically, we can write → y = f(x) = ax + b.
Given is that Mancuso wants to draw a sector whose area is 2 times the area of the sector shown.
The area of the sector given is -
A = {x/180} x πr²
For the area to be double, we can write the area of the sector as -
A{new} = 2 × {x/180} × πr²
A{new} = {x/90} × πr²
Therefore, the area of the sector whose area is double as that of given sector is : A{new} = {x/90} × πr².
To solve more questions on sectors, visit the link-
brainly.com/question/29014197
#SPJ2
7/2 x+1/2x=1/2+9/2x help
Answer:
[tex]x=-1[/tex]
Step-by-step explanation:
[tex]\frac{7}{2}x+\frac{1}{2}x=\frac{1}{2}+\frac{9}{2}x[/tex]
Step 1: Simplify both sides of the equation.
[tex]\frac{7}{2}x+\frac{1}{2}x=\frac{1}{2}+\frac{9}{2}x[/tex]
[tex](\frac{7}{2}x+\frac{1}{2}x)=\frac{9}{2}x+\frac{1}{2}[/tex] (Combine Like Terms)
[tex]4x=\frac{9}{2}x+\frac{1}{2}[/tex]
[tex]4x=\frac{9}{2}x+\frac{1}{2}[/tex]
Step 2: Subtract [tex]\frac{9}{2}x[/tex] from both sides.
[tex]4x-\frac{9}{2}x=\frac{9}{2}x+\frac{1}{2}-\frac{9}{2}x[/tex]
[tex]\frac{-1}{2}x=\frac{1}{2}[/tex]
Step 3: Multiply both sides by [tex](\frac{2}{-1})[/tex].
[tex](\frac{2}{-1})*(\frac{-1}{2}x)=(\frac{2}{-1})*(\frac{1}{2})[/tex]
[tex]x=-1[/tex]
Therefore, [tex]x=-1[/tex] will be your final answer.
Sorry this took very long. I had to calculate all of this.
Find the area of a circle with a circumference
of 50.24 units.
units2
Use 3.14 for II and label your answer in square units. Ex: 4 square units OR 4 units squared
Answer:
Hello! answer: 200.96
Step-by-step explanation:
50.24 ÷ 3.14 = 16 16 ÷ 2 = 8 8 × 8 × 3.14 = 200.96 therefore are area is 200.96 HOPE THAT HELPS!
Answer:
200.96
Step-by-step explanation:
Khan academy
Use the graph to write a linear function that relates y to x
Answer:
y=-4x
Step-by-step explanation:
Select 2 points, I will be using (-1,2) and (0,-2)
As you can see, for every x unit to the left, there are four y units down
Jason plays the tuba 30 minutes a day. Which expression shows how many minutes Jason practiced in d days?
A. 30 + d
B. 30 – d
C. 30 ÷ d
D. 30d
Answer:
The answer is D
Step-by-step explanation:
30d = 30×d
Answer:
Step-by-step explanation:
option d is correct .
70 POINTS PLEASE HELP
Answer:
decreases by about 5 beats per minute
His resting heart beat is about 80 beats per minute
Which factors of −14 are used to factor x2+5x−14?
Answer:
+ 7 and - 2
Step-by-step explanation:
Given
x² + 5x - 14
Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)
The factors are + 7 and - 2 , since
7 × - 2 = - 14 and 7 - 2 = + 5 , then
x² + 5x - 14 = (x + 7)(x - 2) ← in factored form
A phone originally cost £70 and is increased to £77
What is the percentage increase?
Answer:
mark me brainliest
Step-by-step explanation:
10% increased
Answer:
10%
Step-by-step explanation:
100%-> 70
1%->0.7
77-70=7
7÷0.7=10
Rotate the given triangle
90°clockwise about the origin.
21
2 21
-1 3
?
1
Answer:
Step-by-step explanation:
-1 -1 3
1 -2 -2
The new coordinates of the vertices after a 90° clockwise rotation about the origin are:
[tex]\left[\begin{array}{ccc}-1&1&-3\\1&2&2\\\end{array}\right][/tex]
What occurred when you rotated 90 degrees clockwise?If we rotate a triangle 90° counter clockwise about the origin,
Then if one of its vertices be (x, y), it will be changed to (y, x).
The triangle is given as follows:
[tex]\left[\begin{array}{ccc}-1&2&2\\-1&-1&3\\\end{array}\right][/tex]
To rotate the given triangle 90° clockwise about the origin, we can use the rotation matrix:
[tex]\left[\begin{array}{ccc}cos90^{o}&-sin90^{o}\\sin90^{o}&cos90^{o}\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}0&-1\\1&0\\\end{array}\right][/tex]
To apply this rotation matrix to each vertex of the triangle, we multiply it with the coordinate vector of each vertex.
Let's denote the vertices of the triangle as A, B, and C.
A = (-1, -1)
B = (2, -1)
C = (2, 3)
Applying the rotation matrix to each vertex, we have:
[tex]A' = \begin{bmatrix} 0 & -1 \ 1 & 0 \end{bmatrix} \begin{bmatrix} -1 \ -1 \end{bmatrix} = \begin{bmatrix} 1 \ -1 \end{bmatrix}[/tex]
[tex]B' = \begin{bmatrix} 0 & -1 \ 1 & 0 \end{bmatrix} \begin{bmatrix} 2 \ -1 \end{bmatrix} = \begin{bmatrix} 1 \ 2 \end{bmatrix}[/tex]
[tex]C' = \begin{bmatrix} 0 & -1 \ 1 & 0 \end{bmatrix} \begin{bmatrix} 2 \ 3 \end{bmatrix} = \begin{bmatrix} -3 \ 2 \end{bmatrix}[/tex]
Therefore, the new coordinates of the vertices after a 90° clockwise rotation about the origin are:
A' = (1, -1)
B' = (1, 2)
C' = (-3, 2)
This can be written as follows:
[tex]\left[\begin{array}{ccc}-1&1&-3\\1&2&2\\\end{array}\right][/tex]
Learn more about the rotating triangle here:
https://brainly.com/question/22878771
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Arc measure - Hello! Can you please help me and if you can explain the formula that would be awesome!
9514 1404 393
Answer:
88°
Step-by-step explanation:
Angle MQP is called an "inscribed angle." Its vertex (Q) is on the circle, and its sides are chords of the circle. The ends of the sides intercept arc MP. The relationship between an inscribed angle and the intercepted arc is that the measure of the arc is twice the measure of the angle.
arc MP = 2×∠MQP = 2×44°
arc MP = 88°
(2m - 5m^3 ) - (5m + 3m^3- 7m^4 ) + (8 - 3m^3- 5m^4+ 4m)
Answer:
2m^4 - 11m³ + m + 8
Step-by-step explanation:
(2m - 5m³) - (5m + 3m³ - 7m^4) + (8 - 3m³ - 5m^4 + 4m)
2m - 5m³ - 5m - 3m³ + 7m^4 + 8 - 3m³ - 5m^4 + 4m
7m^4 - 5m^4 - 5m³ - 3m³ - 3m³ + 2m - 5m + 4m + 8
2m^4 - 11m³ + m + 8
Answer:
8 + m - 11m^3 + 2m^4
Step-by-step explanation:
Add and subtract like terms:
8 + (2m - 5m +4m) + (-5m^3 - 3m^3 - 3m^3) + (7m^4 - 5m^4) =
8 + m - 11m^3 + 2m^4