the area is 40 square meters
You are welcome
Answer:
40 square meters
Step-by-step explanation:
Find the area of ABC.
Answer:
Suppose, a triangle ABC, whose sides are a, b and c, respectively. Thus, the area of a triangle can be given by; Area= 30
Area = 1/2 x 15 x4 = 30 square yards
Step-by-step explanation:
Area of a triangle is 1/2 x base x height
Area = 1/2 x 15 x4 = 30 square yards
What is the solution to 3x-8<5x+2
The volume of prism having its base a right angled triangle is 864cm^3.if the length of the sides containing the right angle are 6cm and 8cm calculate the height of the prism.
Answer:
height: 36 cm
Step-by-step explanation:
volume of triangle prism = 0.5 * base * altitude * height
using the formula:
0.5 * 8 * 6 * height = 864
24 * height = 864
height = 864/24
height = 36 cm
Answer:
36 cm
Step-by-step explanation:
volume of a triangular prism = area of triangle x height of prism
area of triangle = 1/2 x base x height
Therefore, given the perpendicular sides of the triangle are 6 cm and 8 cm, the area of the triangle is:
⇒ area of triangle = 1/2 x 6 x 8 = 24 cm²
If the volume of the prism is 864 cm³:
⇒ 864 = 24 x height of prism
⇒ height = 864 ÷ 24 = 36 cm
A transformation rotates about the origin by an angle of $45^\circ$ counter-clockwise, then dilates (with center at the origin) by a factor of $\sqrt{2}.$ Find the matrix for this transformation.
The matrix for the combined rotation transformation of 45° and dilation
of [tex]\sqrt{2}[/tex] gives the matrix for the transformation as follows;
[tex]Matrix \ for \ the \ rotation \ and \ dilation \ is;\left[\begin{array}{cc}1 &-1\\1&1\end{array}\right][/tex]
How can the transformation matrix be found?
The angle by which the transformation rotates about the origin = 45°
The dilation following the rotation = A factor of √2
Required:
The matrix for the transformation
Solution:
The dilation matrix for a scale factor of [tex]\mathbf{\sqrt{2}}[/tex] is presented as follows;
[tex]\mathbf{\left[\begin{array}{cc}\sqrt{2} &0\\0&\sqrt{2} \end{array}\right]}[/tex]
[tex]The \ transformation \ for \ a \ rotation \ of \ 45^{\circ} \ is; \left[\begin{array}{cc}cos(45^{\circ})&-sin(45^{\circ})\\sin(45^{\circ})&cos(45^{\circ})\end{array}\right][/tex]
[tex]\left[\begin{array}{cc}cos(45^{\circ})&-sin(45^{\circ})\\&\\sin(45^{\circ})&cos(45^{\circ})\end{array}\right] = \mathbf{\left[\begin{array}{cc}\dfrac{\sqrt{2} }{2} &-\dfrac{\sqrt{2} }{2} \\&\\ \dfrac{\sqrt{2} }{2} &\dfrac{\sqrt{2} }{2} \end{array}\right]}[/tex]
Which gives;
[tex]\left[\begin{array}{cc}\dfrac{\sqrt{2} }{2} &-\dfrac{\sqrt{2} }{2} \\&\\ \dfrac{\sqrt{2} }{2} &\dfrac{\sqrt{2} }{2} \end{array}\right] \times \left[\begin{array}{cc}\sqrt{2} &0\\0&\sqrt{2} \end{array}\right] = \left[\begin{array}{cc}\dfrac{\sqrt{2} \times \sqrt{2} }{2} &-\dfrac{\sqrt{2} \times \sqrt{2} }{2} \\&\\ \dfrac{\sqrt{2} \times \sqrt{2} }{2} &\dfrac{\sqrt{2} \times \sqrt{2} }{2} \end{array}\right] = \left[\begin{array}{cc}1 &-1\\1&1\end{array}\right][/tex]
The required matrix for the transformation is therefore;
[tex]\left[\begin{array}{cc}1 &-1\\1&1\end{array}\right][/tex]Learn more about other forms of transformation matrices here:
https://brainly.com/question/10212935
Jane spent 8/9 of her savings on a gift for Anne. Anne spent 7/8 of her savings on a gift for Jane. Who spent less? How much less?
Answer:
Jane spent the most money, while Anne spent the least.
Step-by-step explanation
Anne spent less because Jane spent 0.888 in decimal form, whereas Anne spent 0.875 in decimal form.
what is 2 and 2/7 as an improper fraction
Have an awesome day!
[tex]\huge\textbf{TheStarryNights :)}[/tex]
Answer:
16/7
Step-by-step explanation:
-4.3 - 9.32 help me help me help me
Answer:
-13.62
explanation:
use a method called keep change change, meaning you keep the -4.3, change the minus to a plus, and change the positive to a negative, and then add.
what does Antonym/contrast mean?
synonym: a word of opposite meaning
contrast: to show noticeable differences
When history writers use the word ancient, what do they mean?
answer:
when historians use the term ancient they mean “pre-historic” or “long ago” it symbolizes something old.
help me it it due today if you get it right I will give you the crown
Answer:
Step-by-step explanation:
You can break the entire figure into two semi-circles, two triangles, and a rectangle.
The area of a semi-circle is 1/2 the area of a full circle. The area of a circle is πr^2. The area of the semi-circle is therefore:
[tex]\pi r^2/2=\pi (10^2)/2=50\pi[/tex]
The other semi-circle also contributes a value of 50π.
Moving on to the triangle, we must use Pythagorean's Theorem to find the value of the base:
[tex]a^2+b^2=c^2[/tex]
[tex]11^2+b^2=20^2[/tex]
[tex]121+b^2=400[/tex]
[tex]b^2=279[/tex]
[tex]b=\sqrt{279}[/tex]
The area of a triangle is:
[tex]Area=b*h/2[/tex]
[tex]A=(\sqrt{279} *11)/2[/tex]
The other triangle also contributes the same area.
Finally, the rectangle. To find the length of the rectangle, we must subtract the base of the triangle from 22. The length is:
[tex]l=22-\sqrt{279}[/tex]
The area of a rectangle is:
[tex]Area=l*w[/tex]
[tex]A=(22-\sqrt{279} )*(11)[/tex]
The total area of the figure is:
[tex]Area=2*(50\pi) +2*(\sqrt{279} *11/2)+11*(22-\sqrt{279} )[/tex]
[tex]Area=100\pi +11*\sqrt{279} +11*(22-\sqrt{279} )[/tex]
[tex]Area=100\pi +242[/tex]
[tex]Area=556.2[/tex]
Answer:
556.2 unit square
Step-by-step explanation:
Solution given:
Area of left semi circle= ½*πr²
where r is radiussince diameter is given 20.
so radius =diameter/2=20/2=10
substituting value
Area of left semi circle =½*π*10²=50π unit square
Since
Right semi circle's diameter is same as left semi circle
so
it's area will also be same.
Area of right semi circle= 50π unit square
Again
Area of middle rhombus= base* height
where base=22 and height is 11
substituting value
Area of middle rhombus=22*11 =242 square units
Now
Total Area=Area of left semi circle+Area of right semi circle+ Area of middle rhombus
Total Area= 50π+50π+242=556.159 unit square in nearest 10 is 556.2 unit square
Compare the two groups from question #8-13
The mean of the group that studied is about 16 points ________ than the mean of the group that did not study.
The MAD of the group that did not study is about ________ as much as the MAD of the group that did study.
There is more variation in the scores of the group that ________
1: lower, twice, did study
2: higher, twice, did not study
3: higher, half, did not study
4: lower, half, did study
Question hi what school do you do cuz i have the same question
Step-by-step explanation:
Someone please help asap! I will mark as brainliest, thank you!!
Answer:
19 square units
Step-by-step explanation:
Hello!
Step 1: Plot the points
We are first going to plot the points on the coordinate graph and connect the points to create a shape.
Refer to attachment titled "Step 1"
Step 2: Box the shape
Since this is an irregular shape, I'm going to make a box around the shape and subtract the area of the empty spaces to find the area of the original polygon.
Refer to attachment titled "Step 2"
Step 3: Area of Edges
We are going to find the area of the shapes A, B, and C and subtract them from the area of the big box to find the area of the polygon.
Area of a triangle = 1/2(base x height)
Area of Box = 6 un x 7 unArea of Box = 42 un²Area of A:
Area A = 1/2(4 un x 2 un)Area A = 1/2(8 un²)Area A = 4 un²Area of B:
Area B = 4 un x 4 unArea B = 16 un²Area of C:
Area C = 1/2(2 un x 3 un)Area C = 1/2(6 un²)Area C = 3 un²Step 4: Area of the polygon
Now, we can simply subtract the values of A, B, and C from the box to get the area of the polygon.
Area Polygon = Box - A - B - CArea Polygon = 42 un² - 4 un² - 16 un² - 3 un²Area Polygon = 38 un² - 16 un² - 3 un²Area Polygon = 22 un² - 3 un²Area Polygon = 19 un²The area of the polygon is 19 un²
-Chetan K
Solve for x. 42= -7 (z-3)
Answer: x = -3
Step-by-step explanation:
42=-7(x - 3)
-7(x - 3) = 42
-7(x - 3)/-7 = 42/-7
x - 3 = -6
x - 3 + 3 = -6 + 3
x = -3
Roughly 75% of students take the bus to school. If you were to ask 9 students in your class, what is the probability that at most 8 of them take the bus to school?
77.9%
90.4%
22.5%
92.5%
The probability that at most 8 of them take the bus to school is 0.925, written in percentage form this is 92.5%
How to find the probability?
We know that roughly 75% of the students take the bus, then, if we select a student at random.
There is a probability of 0.75 that the student takes the bus.There is a probability of 0.25 that the student does not take the bus.The probability that at most 8 out of 9 students take the bus, is equal to one minus the probability of the 9 taking the bus, which is:
p = (0.75)^9 = 0.075
Then we have:
P = 1 - 0.075 = 0.925
The probability that at most 8 of them take the bus to school is 0.925, written in percentage form this is 92.5%
If you want to learn more about probability, you can read:
https://brainly.com/question/251701
1. Solve.
A rectangular picture has a
width that is 2 times wider
than its length. The area of
the frame is 50 square
inches. What are the
dimensions of the frame?
Answer:
width = 10
length = 5
Step-by-step explanation:
It works
help meee
Does this graph have a maximum or a minimum? Given:
f(x) = x²+6x-7
A Minimum
B Neither
C Maximum
D Both
Answer:
A minimum
Step-by-step explanation:
This graph is a parabola which is a U-ish V-ish graph. Since there is no negative in front of the x^2 it opens UPWARDS, so it has a bottom. Thats a lowest point which is a minimum.
Please help
Can you also leave a step-by-step explanation?
Answer: it will take 6 weeks for both of the to have the same amount of money
Step-by-step explanation: i hope this helps :d
ASAP WILL GIVE BRAINLEST
f(x) = 2x ^ 2 - 3x + 2 find f(m + 2)
3. What are the first three terms of the Arithmetic Sequence a, = 12 - 2(n - 1)?
11, 10,9
1,2,3
12,10,8
0 10 20
Answer:
12, 10, 8
Step-by-step explanation:
Substitute n = 1, n = 2 and n = 3 to find the 1st, 2nd and 3rd terms of the sequence:
[tex]a_n=12-2(n-1)[/tex]
[tex]\implies a_1=12-2(1-1)=12-2+2=12\\\\ \implies a_2=12-2(2-1)=12-4+2=10\\\\ \implies a_3=12-2(3-1)=12-6+2=8[/tex]
Hi! having an exam soon and kind of confused about this. any help appreciated!
!!!
PROBLEM 8!!!!
!!!
Answer:
(14, 23)
area = 400 square units
Step-by-step explanation:
Part (a)
To find the point where two equations meet (the point of intersection), equal the equations to each other, then solve for x. Substitute the found value of x into one of the equations (it doesn't matter which) and then solve for y. (x, y) is the point of intersection.
Equation 1: y = 2x - 5
Equation 2: y = 23
Equate the equations:
y = y
⇒ 2x - 5 = 23
⇒ 2x = 23 + 5
⇒ 2x = 28
⇒ x = 28 ÷ 2
⇒ x = 14
Usually we'd substitute the found value of x into one of the equations and solve for y, however, as one of the equations is literally the y value, we don't need to do that.
So y = 23
Therefore, the point of intersection is (14, 23)
Part (b)
The vertices of the triangle will be the points where each pair of lines meet each other. We have already determined that one pair of lines meets at point (14, 23).
y = 2x - 5 is a diagonal line, y = 23 is a horizontal line, and x = -6 is a vertical line.
So x = -6 and y = 23 meet at (-6, 23)
Now we just need to determine where y = 2x - 5 and x = -6 meet.
Simply substitute x = -6 into y = 2x - 5:
⇒ y = 2(-6) - 5
⇒ y = -17
Therefore, the point of intersection is (-6, -17)
So we have three points of intersection which are the three vertices of the triangle:
(14, 23) (-6, 23) (-6, -17)
As y = 23 is a horizontal line and x = -6 is a vertical line, their point of intersection (-6, 23) is a right angle.
Therefore the can determine that the height of the triangle is the difference between the y-coordinates of (-6, 23) and (-6, -17).
Similarly, the base (width) of the triangle is the difference between the x-coordinates of (-6, 23) and (14, 23).
Therefore, the height = 23 - -17 = 23 + 17 = 40
Therefore, the base = 14 - -6 = 14 + 6 = 20
Area of a triangle = 1/2 x base x height = 1/2 x 20 x 40 = 400 square units
see attached diagram
48 is 12% of what?
With solution pls
Answer:
5.76
Step-by-step explanation:
i hope this was what u were looking for
We have: x is n% of y <=> y = x/n% (n < 100% or n = 100%)
So: 48 is 12% of y <=> y = 48/12% = 400
Answer: 400
Ok done. Thank to me :>
Gasta is 4 years older than his sister. If his sister is 12 years old. How old is Gasta
Answer:
16 years old
Step-by-step explanation:
let Gastas age be g
since Gasta is four years older
g=12+4
g=16 years old
What is the correct answer need answer ASAP
question 9
What is the period of the function shown in the graph?
PLEASE help! BRAINLIEST to correct answer.
Check the picture below, notice, after 0 goes up then down back up at 4, and then it begins repeating after that, it begins to "periodically" be the same curve, that's the period.
C. Yesterday, on Kelly's class trip, 4 groups of 52 students visited the Sea Animal Park. The students attended a special dolphin show in which they were able to pet the dolphins. The students were placed in groups, with 7 students in each group.Kelly used division to find the total number of groups that were needed so that each student was able to pet the dolphins. She said that a total of 29 groups were needed.
Did Kelly correctly solve the division problem? Why or why not?
Answer:
the real answer is 29.714
Kelly's answer is almost correct.
The circumference of a circle is 6.28 millimeters. What is the circle's diameter?
plsssss i need help!!!!!!!!
[tex] \quad{\rule{300pt}{1.5pt}}\quad[/tex]
Ⲋⲟⳑⳙⲧⳕⲟⲛ :We are given that :
The circumference of a circle is 6.28mmWe know that :
[tex]\qquad\bull{\boxed {\mathfrak{Circumference = 2 \pi r }}}\bull[/tex]
Therefore,
[tex] \quad\dashrightarrow\quad \sf { 6.28 = 2 \pi r }[/tex]
[tex] \quad\dashrightarrow\quad \sf {r = \dfrac{6.28}{2\pi} }[/tex]
[tex] \quad\dashrightarrow\quad \sf {r = \dfrac{6.28\times 7}{22\times 2} }[/tex]
[tex] \quad\dashrightarrow\quad \sf {r =\cancel{\dfrac{43.64}{44}} }[/tex]
[tex] \quad\dashrightarrow\quad \sf {r = 0.9989 }[/tex]
As we know,
[tex] \quad\dashrightarrow\quad \sf { Diameter = 2\times radius}[/tex]
[tex] \quad\dashrightarrow\quad \sf { Diameter = 2\times 0.9989}[/tex]
[tex] \quad\dashrightarrow\quad \sf { Diameter = 1.98 }[/tex]
[tex] \quad\dashrightarrow\quad {\pmb{\sf {Diameter = 2 mm ( approx ) }}}[/tex]
[tex] \rule{300pt}{2pt}[/tex]
A cylindrical barrel has a radius of 5.7 ft and a height of 8.4 ft. Tripling which dimension(s) will triple the volume of the barrel?
Answer:
tripling the height (8.4 ft) will triple the volume of the barrel (from 857.39 to 2,572.17)
Step-by-step explanation:
By Tripling the height we can triple the volume of the barrel.
What is the volume of a cylinder?In geometry, a cylinder's volume is referred to as its capacity, which aids in determining how much material it can carry.
Given, A cylindrical barrel has a radius of 5.7 ft and a height of 8.4 ft.
From the general formula of volume of cylinder = πr²*h
The volume of the given cylinder = π * (5.7)² 8.4
The volume of the given cylinder = 856.95 ft³
As we can see that the volume of a cylinder is directly proportional to its height of the cylinder.
Therefore, The barrel's volume can be tripled by tripling the height.
learn more about the volume of the cylinder here:
https://brainly.com/question/16134180
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please only answer if u know will mark brainliest 25 POINTS Evaluate the following expression when x = 6 and y = 2:
x² + y³
2 + ×
Answer:
The answer is 5.5
Step-by-step explanation:
6 x 6 = 36
2x2x2 = 8
36 + 8 = 44
2 + 6 = 8
44/8 = 5.5
Therefore, the answer to this problem is 5.5
I hope I helped! ^-^
What is 1/2 of 50? I will mark as brainliest.
Answer:
25. hope this helped you brother!
A casino wants to determine if the spins on its roulette wheel are truly random. Which statistical test would you use to determine if this were the case
Answer: dividing the amount of posibilities the wheel has by the amount of spins you have
Step-by-step explanation:
hope this helps
