Answer:
A=29.12ft^2
Step-by-step explanation:
first, find the area of the triangle and semicircle separately, then add them together to find the total area of the figure:
area of a triangle: 1/2bh
1/2(6)(8)=24ft^2
area of a circle: πr^2
(**we're using 3.14 instead of pi, and it's a semicircle)
1/2(3.14)(4)^2
1/2(3.14)(16)
1/2(50.24)
25.12ft^2
total area of the figure:
24+25.12=29.12ft^2
Answer: 49.12 ft²
Step-by-step explanation:
This figure is composed of
a half-circlea right triangleFirst, find the area of the half-circle.
The area of a full circle is π · r², but since it's only half a circle, we divide that by half, resulting in (π · r²)/2
π = pi ≈ 3.14r = radius = 8/2 = 4 ftTherefore, the area of the half-circle is:
(3.14 · 4²)/2 = (3.14 · 16)/2 = 50.24/2 = 25.12 ft²
Second, find the area of the right triangle.
The area of a triangle = ½bh.
b = base length = 6 fth = height = 8 ftTherefore, the area of the triangle is:
½ · 6 · 8 = ½ · 48 = 24 ft²
Add the two areas together:
24 + 25.12 = 49.12 ft²
1) Jeffrey has two bags of marbles. One has a 2 green marbles and 3 red marbles. The second bag has a blue and 2 yellow marble. Darren draws one marble from each bag. What are all the possible outcomes? How large is the sample space?
A sample space is the space of all the possible outcomes in this event.
Let's define each outcome as:
(first marble, second marble)
Where the first marble can be green or red.
The second marble can be blue or yellow.
Then the possible outcomes are:
(green, yellow)
(green, blue)
(red, yellow)
(red, blue)
So we have four different outcomes, which means that the sample space has 4 elements.
Notice that the number of marbles of each color does not affect this, these numbers only affect the probability of each one of these possible outcomes.
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I need help this is urgent
Write an equation of the line below
School is stressful.
Also, I don't know what I am supposed to put in this text box.
Answer: A) 4
Explanation:
For any 30-60-90 triangle, the short leg is half as long as the hypotenuse.
The short leg is opposite the smallest angle (30 degrees), so we see that
x = 8/2 = 4.
how do i rename 2/7 and 10/21 and whats the most common denominator for them
The most common denominator for them is the LCM which is 21
Now
2/7 = 2/7×3/3
= 6/21
Therefore 6/21 and 10/21
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Which of the following statements is false?
B. A parallelogram is a rectangle.
Please help explanation if possible
Answer:
I don't know ask to your teacher
What is the slope of the function? Then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?
Complete question is;
Alejandra correctly wrote the equation y – 3 = (1/5) (x – 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?
Answer:
y – 3 = 2(x – 10)
Step-by-step explanation:
Since the original line is;
y – 3 = (1/5) (x – 10)
This means the slope is 1/5 and the x and y coordinates are (10, 3) respectively.
Now, if she changes the slope to 2 and it still passed through the same point, then it means it's x and y points are still (10, 3). Thus, the equation will now be;
y – 3 = 2(x – 10)
Determine the 3 digit chopping and rounding approximately of the number 0.9
Answer:
We want to "chop and round" the periodic number 0.9 at 3 digits.
First, remember that we can write our periodic number as:
0.9 = 0.9999...
Such that the nine repeats infinitely.
Now we want to chop it at the third digit, and then round.
To chop at the third digit we just "cut" the number at the third digit after the decimal point, we will get:
0.9 ≈ 0.999
Now we round.
Remember that to round a number, we need to look at the last digit after the decimal point.
If the last digit is 5 or larger, we round up, adding 1 to the previous decimal.
If the last digit is 4 or smaller, we round down, don't adding anything to the previous decimal.
in our number:
0.999
The last digit is a 9, so we round up.
Then we add "1" to the previous decimal
but the previous decimal is a 9, so when we add 1, it will transform into a 10.
So it also adds one to the previous decimal, which also is a 9, so the process repeats, this time adding 1 to the decimal to its left, in this case, that decimal will be the first decimal at the left of the decimal point.
So after rounding, we will get:
0.999 ≈ 1
Then we can conclude that:
he 3 digit chopping and rounding approximately of the number 0.9 is 1"
HELP PLZ!!!!!!!!!!!!!!!!!
Step-by-step explanation:
[tex]15)2n \\ 16)1 \times {10}^{7} \\ 17) {m}^{5} \\ 18)xy \\ 19)5 {n}^{2} - 6 \\ = - 6 \\ 20)9 {a}^{ 3} + 1 \\ = \frac{d}{da} (9a {}^{ 3} + 1) \\ 21) {x}^{3} . {y}^{3} \\ = (x.y) {}^{3} \\ = {x}^{3} {y}^{3} \\ 22)c {}^{4} .d {}^{6} \\ = {c}^{4} {d}^{6} \\ 23)3e + {e}^{2} \\ = e(e + 3) \\ \\ \\ hope \: it \: is \: help \: to \: you[/tex]
15 2 times n
16 10 race to the power 7
17 m race to the power 5
18 x times y
19 6 subtracted from 5 times n race to the power 2
20 1 added to 9 times a race to the power 3
21 x race to the power 3 times y race to the power 2
22 c race to the power 4 times d race to the power 6
23 3 times e added to 2 times e race to the power 2
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Can someone help me out
Answer:
82.8
Step-by-step explanation:
area of the parallelogram = base × height
= 13.8×6
= 82.8 in²
Answered by GAUTHMATH
9.
For which discriminant is the graph possible?
A. b2 – 4ac = 3
B. b2 – 4ac = –4
C. b2 – 4ac = 0
Answer:
C. b2 – 4ac = 0
Step-by-step explanation:
The circumference of a circle is 6pi inches. What is the area of the circle
Answer:
B0 A = 9 Pi
Step-by-step explanation:
c = 6 Pi (given)
c = Pi 2r (standard formula)
r = c / (2 Pi)
r = 6 Pi / (2 Pi) = 3 (substitute 6 Pi for c)
So
A = Pi r**2
A = Pi 3**2
A = 9 Pi
Given that ABCD is a rhombus, what is the value of x?
B
C.
(3x + 12)
D
A. 19.5
B. 78
C. 15.8
D. 26
E. 52
F. Cannot be determined
Answer:
Diagonals of a rhombus intersect at right angles
Therefore, [tex]\angle AOD=90[/tex]
[tex]Now,in\: \bigtriangleup AOD[/tex]
[tex]\angle OAD+\angle AOD+\angle ADO=180[/tex]
[tex]x+90+3x+12=180[/tex] [tex]\leftarrow [combing \: like\: terms][/tex]
[tex]4x+102=180\\-102 \: -102[/tex] [tex]\leftarrow [subtracting \:102 ][/tex]
[tex]\frac{4x}{4} =\frac{78}{4} \leftarrow [dividing \: by\: 4][/tex]
[tex]x=19.5[/tex] [tex]\Longleftarrow[/tex]
OAmalOHopeO
a sailboat travels a distance of 2 1/2 miles in 1/6 of an hour.which complex fraction represents the unit rate in miles per hour.
Answer:
2 1/2 miles = 1/6 hours 2 1/2 miles * 6 = 1/6 hours * 6 12 1/2 miles = 6/6 hours 12 1/2 miles = 1 hour 12 1/2 miles/hr
Answer:
[tex]\frac{\frac{5}{2} * 6 }{\frac{1}{6} * 6}[/tex] = [tex]\frac{\frac{30}{2} }{\frac{6}{6} }[/tex]
Step-by-step explanation:
Which are corresponding pairs
Answer:
pandn
Step-by-step explanation:
jsubeuodoqok1kwnebhxhhw
emdndiiwjwkd
d
ddnjd
convert solar days into minutes
Answer:
1 Solar day = 86,400 seconds (SI Base Unit)
1 day = 1,440 minutes
Step-by-step explanation:
If need anymore help just ask I'm not really good at explaining but I'll try just comment haha ☺️
salini's mother's present age is 8 times salini's present age five years from now salini's age will be 1/4th of of his mother's present age what are their present ages
Answer:
salini -= 5 years
mother = 40years
Step-by-step explanation:
[tex]salini = x \\ mother =8x \\ x + 5 = 1 \: of \: 8x \\ x + 5 = 2x \\ 5 = x [/tex]
[tex]5 = x[/tex]
then you equate the values of x
What is the ratio of 16 and 8
Answer:
Convert fraction (ratio) 8 / 16 Answer: 50%
Step-by-step explanation:
Given m|n, find the value of x.
(6x+9)
(4x-19)
Answer:
Submit Answer
attempt i out of 2
I NEED HELP PLS
Answer:
x = 19
Step-by-step explanation:
The angles sum are complementary so they will sum to 180
(6x+9) +(4x-19) = 180
Combine like terms
10x - 10 = 180
Add 10 to each side
10x-10+10 =180+10
10x =190
Divide by 10
10x/10 = 190/10
x = 19
please answer this!!!!!
Answer: Choice A. 338 meters
Step-by-step explanation:
tan(31°)=203/x
Answer: 338 m
Step-by-step explanation:
Tan 59 = x/203
(1.66)(203)=338m
find the value of the trigonometric ratio.
Answer:
12/13
Step-by-step explanation:
sinX = opposite/hypotenuse = 12/13
Find "k" if a force of 10 Newtons produces an extension of 5 cm.
K = 5n/m
F=KE
K= F/E
= 10/5
K = 5n/m
ILL MARK BRAINIEST IF YOU DO THIS CORRECTLY!!!
Answer:
C. 12 for $6.00
Step-by-step explanation:
Answer:
C. 12 for $6.00
Step-by-step explanation:
better than $13.00 for 24. as that'd be $6.50 for 12..
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
(0,0)
(-1/2, -3)
O A. y = 2x
O B. y=*
O C. y = 3x
ООО
OD. y = -6x
E. y=-*
OF. y = 6x
Answer:
I think the correct answer is F. y = 6x
We will see that the line equation is y = 6*x
How to find a linear equation?
A general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we know that the line passes through two points (x₁, y₁) and (x₂, y₂) then we can write the slope as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
In this case, the line passes through the points: (0, 0) and (-1/2, -3)
Then the slope is:
[tex]a = \frac{0 - (-3)}{0 - (-1/2)} = 6[/tex]
Then the line is of the form y = 6*x + b
To find the value of b, we use the fact that the line passes through the point (0, 0), then we have:
0 = 6*0 + b
0 = b
We can conclude that the line is y = 6*x
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A rectangular garden has links twice as great as it's with a second rectangular garden has the same link as the first garden and with that is for meters greater than the width of the first garden the second Gordon has area of 120 m² what is the length of the two gardens
Solution :
For the bigger rectangle
Width of bigger rectangle = W
Length of bigger rectangle, L = 2W
For the smaller rectangle
Width , w = W+4
Length, l = L = 2W
Area, a =120 [tex]m^2[/tex]
Now we know,
Area = length x width
[tex]$a=l \times w$[/tex]
[tex]$120=(2W) \times (W+4)$[/tex]
[tex]$120=2W^2 + 8W$[/tex]
[tex]$2W^2+8W-120=0$[/tex]
[tex]$W^2+4W-60=0$[/tex]
[tex]$(W+10)(W-6) = 0$[/tex]
We get, either [tex]W=-10[/tex] (rejecting)
or [tex]W=6[/tex]
∴ length of the bigger rectangle, [tex]$L=2W $[/tex]
= 2(6)
= 12 m
Length of the smaller rectangle, [tex]$L=2W$[/tex]
= 2(6)
= 12 m
Hence, the length of the two gardens is 12 m.
Write the area A of an equilateral triangle as a function of the length s of its sides.
STEP 1: Find the base of the equilateral triangle in terms of s.
STEP 2: The height of an equilateral triangle can be found via the Pythagorean theorem. Use this information to find h in terms of s.
Write the area A of an equilateral triangle as a function of the length s of its sides. Draw the triangle; label each side "2s". Draw the altitute; it will bisect the base into s and s. ... Therefore, the area is equal to the measure of the bisected side times the measure of the altitude, quantity divided by 2.
HOPE SO IT HELPS YOU
Answer:
Step-by-step explanation:
Part A
Each side including the base is s.
Part B
Use 1/2 the base to find the height. The height meets the base at 90 degrees which gives you the right to use c^2 = b^2 + a^2
The hypotenuse is s
The base is 1/2s
h^2 = s^2 - (1/2s)^2
h^2 = s^2 - 1/4 s^2
h^2 = 3s^2/4
h = sqrt(3)/2 *s
Area = 1/2 * s * sqrt(3)/2 s
Area = 1/4 * s^2 * sqrt(3)
solve this question :
-10k2+7
Answer:
-10k×2+7
= -20k+7
Step-by-step explanation:
is the answer
SOMEONE HELP ME PLEASE
For the given question,
Total number of outcomes
= 6 (i.e. 1, 2, 3, 4, 5 and 6)
Number of favourable outcomes
= 4 (i.e. 3, 4, 5, 6)
So,
[tex]P = \frac{Number \: of \: favourable \: outcomes}{Total \: number \: of \: outcomes} \\ = > P= \frac{4}{6} \\ = > P = \frac{2}{3} \\ = > P = 0.6666......[/tex]
what are the coordinates of vertices of quadrilateral ABCD? use the coordinates to find the length of DA.
A(-5,-4)
B (1,4)
C(4,0)
D(1,-4)
Need help ASAP ???
We can conclude that the length of DA is 6.
For a quadrilateral defined as ABCD, the vertices of the quadrilateral are the points in the name, so the four vertices are the points A, B, C, and D.
These are given, so we know that the vertices are the points:
A(-5,-4)
B (1,4)
C(4,0)
D(1,-4)
Now we want to find the length of DA, this is the distance between points D and A.
Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Then for the case of the points:
A (-5, -4) and D (1, -4)
the distance is given by:
[tex]d = \sqrt{(1 - (-5))^2 + (-4 - (-4))^2} = \sqrt{(1 + 5)^2} = 6[/tex]
Then we can conclude that the length of DA is 6.
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square root of 800 to the nearest thousandth
Answer:
28.284
Step-by-step explanation: