Answer:
The area is [tex]88cm^2[/tex]
Step-by-step explanation:
The formula for the area of a triangle is : [tex]\frac{base*height}{2}[/tex]
To work this out you would first need to work out the area of the square. You can do this by multiplying the length of 8 by the width of 8, this gives you 64. This is because the formula for working out the area is length multiplied by the width.
The next step is to work out the area of a triangle. You can do this by first multiplying the base of 6 by the height of 8, this gives you 48.
The next step is to divide 48 by 2, this gives you 24. this is because the formula is the same for a square, and that a triangle is half of a square with the same dimensions.
The final step is to Add the area of the square which is 64 by the area of the triangle which is 24, this gives you [tex]88cm^2[/tex].
1) Multiply 8 by 8.
[tex]8*8=64cm^2[/tex]
2) Multiply 6 by 8.
[tex]6*8=48cm[/tex]
3) Divide 48 by 2.
[tex]48/2=24cm^2[/tex]
4) Add 64 and 24.
[tex]64+24=88cm^2[/tex]
Answe the photo and I’ll mark brainliest
Answer:
A ( 1.5, 6 ), B ( 15, 33 ), Slope ⇒ 2
Step-by-step explanation:
We are given the line y - 2x = 3;
For the value 6, let us substitute this value in terms of y such to compute the value of x on the line y - 2x = 3;
6 - 2 * x = 3 ⇒ Subtract 6 on either side,
-2 * x = - 3 ⇒ Divide - 2 on either side of equation
x = 1 and 1 / 2 for y = 6,
Solution; A ( 1.5, 6 )
Now for the value 15, let us substitute this value in terms of x to compute the value of y on the line y = 2x - 3;
y - 2 * ( 15 ) = 3 ⇒ Multiply 15 by 2,
y - 30 = 3 ⇒ Add remaining terms,
y = 33 for x = 15,
Solution; B ( 15, 33 )
To determine the slope of this we could take the formula ( y2 - y1 )/ ( x2 - x1 ) for the two points we have derived or, for simplicity, take a look at the format of the equation;
y - 2x = 3 ⇒ Convert to point slope form, in format y = ax + b, where a ⇒ slope, and b ⇒ y - intercept
y = 2x + 3, ⇒ Solution; Slope ⇒ 2
Prove two triangles congruent by a side, a median drawn to that side, and the angle formed by the side and the median.
Let's call one triangle ABC, and M the midpoint of AB.
Let's call the other triangle DEF, and midpoint N of DE.
We have a congruent side, AB=DE, congruent medians CM=FN, and congruent angles, ∠AMC=∠DNF
AB ≅ DE Given
AM ≅ BM and DN ≅ EN Def median/midpoint
AM+BM=AB and DN+EN=DE Segment addition theorem
2AM=2BM=AB and 2DN=2EN=DE Substitution (eg BM for AM)
AM ≅ BM ≅ DN ≅ EN Transitivity, algebra
CM ≅ FN Given
∠AMC ≅ ∠DNF Given
ΔAMC ≅ ΔDNF Side Angle Side
AC ≅ DF CPCTC
∠BMC ≅ ∠ENF Supplements of congruent angles are congruent
ΔBMC ≅ ΔENF Side Angle Side
BC ≅ EF CPCTC
Δ ABC ≅ Δ DEF Side Side Side
bz is tangent to circle o. ac is a diameter. mbc=90. mcd=30. mde=20.
state the theorem(s) that you used to find the measures of angles 1-10.
Answer:
1. Arc angle
2. Angle at circumference
3. Base angle of an isosceles triangle
4. Sum interior of angles in a triangle
5. Sum interior of angles in a triangle
6. The sum of angles on a straight line
7. Sum interior of angles in a triangle
8. Sum interior of angles in a triangle
9. Angle from a tangent to the radius of a circle
10. Alternate angles of line crossing two parallel lines
Step-by-step explanation:
Here, we note that, the angles where derived as follows;
1. mBC = 90°, therefore, angle subtended by the arc BC at the center of the circle = 1 = 90°
2. 90° The angle at the center which is the straight line diameter with angle 180° = 2 × angle at the circumference
∴ The angle at the circumference, angle 2 = 180°/2 = 90°
3. Angle subtended by the sum of arcs CD + DE at the center = 50°, therefore, ∡EOC = 50° and ∡EOA = 180° - 50° = 130° (the sum of angles on a straight line), since ΔAOE is an isosceles triangle, therefore, ∡OAE = ∡OEA = (180° - 130°)/2 = 25°
4. ∡A + ∡E + ∡C = 180° (Sum interior of angles in a triangle)
∴ 25° + 90° + ∡C = 180°
Hence ∡C = 180° - (90° + 25°) = 65°
5. From arc CD = 30°, ∡COD = 30°, ∴ ∡OBD = 30° = base angle of isosceles triangle with sides equal to the radius
Hence ∡8 = 30° from ∡8 + ∡1 + ∡OBD = 180° which gives
∡8 + 90° + 30° = 180°, hence;
∡8 = 180° - (90° + 30°) = 60°
∡8 = opposite ∡8 = 60°
Opposite ∡8 + ∡C + ∡5 = 180° (Sum interior of angles in a triangle)
Therefore ∡5 = 180° - (opposite ∡8 + ∡C) = 180° - (60° + 65°) = 55°
6. Angles 6 plus angle 5 = 180° (The sum of angles on a straight line)
Therefore, ∡6 = 180° - ∡5 = 180° - 55° = 125°
7. ∡7 + opposite ∡5 + ∡E = 180° (Sum interior of angles in a triangle)
∡E + ∡2 = 180° (The sum of angles on a straight line)
∴ ∡E = 180° - ∡2 = 180° - 90° = 90°
Hence, ∡7 + opposite ∡5 + ∡E = 180° = ∡7 + 55° + 90° = 180°
∴ ∡7 = 35°
8. ∡8 = 60° as found above
9. ∡9 = 90° (Angle from a tangent to the radius of a circle)
10. ∡10 = ∡8 = 60° (Alternate angles).
Solve the system using the method of you choice:
-x + 4y = 12
5x - 2y = -6
Answer:
(0, 3)
Step-by-step explanation:
Let's first eliminate x. To do this, multiply all three terms of the first equation by 5:
-5x + 20y = 60
5x - 2y = -6
----------------------
18y = 54, so that y = 3.
Substituting 3 for y in the first equation yields:
-x + 4(3) = 12, or -x = 0. Thus, x = 0, and the solution is
(0, 3)
Remember: Use ALL numbers below or above
the true median (which was 55)
What is the UPPER quartile?
64.5
69
73
65
Answer:
upper:65 lower:44
Step-by-step explanation:
After analyzing this number line, which set of numbers would all round to 0 when rounding to the nearest hundred?
A) 15, 35, 44
B) 35, 44, 50
C) 44, 50, 55
D) 55, 63, 69
HELP ASAP I WILL GIVE BRAINLIEST
Answer:
the numbers in Set A would round to 0
Step-by-step explanation:
Please write the linear equation when m=30 and b=20
Answer:
y = 30x + 20
Step-by-step explanation:
The equation of a line is
y = mx+b
where m is the slope and b is the y intercept
y = 30x + 20
A drawer has 9 pairs of white socks 7 pairs of black socks 6 pairs of brown socks and 3 pairs of blue socks you get dressed each morning in the dark in randomly reach into the sock drawer to get your socks after a day of wearing the socks you do not replace them until the weekend after you have done some laundry what is the probability that your sock selection goes in the following order for this week?
P(Black then white then white the brown then blue)=____
Answer:
0.0014 = 0.14%
Step-by-step explanation:
First we need to find the total number of pairs:
9 + 7 + 6 + 3 = 25 pairs
Then, we need to find the probability for each case:
First socks black: 7 pairs over 25: P1 = 7/25
Second socks white: 9 pairs over 24: P1 = 9/24 = 3/8
Third socks white: 8 pairs over 23: P1 = 8/23
Fourth socks brown: 6 pairs over 22: P1 = 6/22 = 3/11
Fifth socks blue: 3 pairs over 21: P1 = 3/21 = 1/7
The final probability will the the product of all probabilities above:
P = (7/25) * (3/8) * (8/23) * (3/11) * (1/7) = 0.0014 = 0.14%
Answer:
567/398475 in fraction or 0.0014229249 in decimal
Step-by-step explanation:
In the question, we are given these values
Total pair of socks = 25 pairs of socks
9 pairs of white socks
7 pairs of black socks
6 pairs of brown socks
3 pairs of blue socks
From the question, we can see that, this is probability without replacement.
Hence,
P(Black then white then white the brown then blue)=
7/25 × 9/24× 8/23 ×6/22 × 3/21
= 9072/6375600
= 567/398475
Therefore, the Probability of picking a Black socks then white socks then white socks , then brown socks and then blue socks = 567/398475 in fraction or 0.0014229249 in decimal
What is the area of the triangle shown below?
Answer:
65
Step-by-step explanation:
In order to find the area you have to complete a formula for triangles going Area = 1/2 bh ( bh means base time the height height is the 13 and the base is the 10 in the photo.)
Please Help!!! As quickly as possible!!!
Answer: Bristol's heart rate reaches a maximum of 120
bpm
Step-by-step explanation:
Answer:
Bristol's heart rate reaches a maximum of 120 bpm
At the end of yoga class, Bristol's heart rate returned to her resting heart rate
The graph that models Bristol's heart rate is a parabola
Step-by-step explanation:
what is the value of x and y
Answer:
x = 10.6
y = 10.6
Step-by-step explanation:
To answer this question you will need to use trigonometry. If you don't already have an understanding of trigonometry, this will be very hard to explain. please let me know in the comments if you would like me to give it a go.
I hope this was helpful :-)
Who is the founder of [Hoonigan]?
Answer: Ken Block ??
Step-by-step explanation:
Answer:ken block
Step-by-step explanation:
Can someone please help me out
Graph y=2cos(1/2x)-1
Answer:
.
Step-by-step explanation:
the cut out part on the right side is "the tree"
Answer:
C, just C
Step-by-step explanation:
Demonstrating all calculations would be too much word right now.
in general: Probability of Event A times Probability of Event B, and if there is more than one possible way, add up.
Study the data set shown. Then answer the questions below.
-Enter a number that could be removed from this data set that would not change the range. ANSWER=
-Enter a number that could be removed from this data set that would change the range. ANSWER=
For the first one, 70. For the second one, 100.
Answer:
83 and 85?
Step-by-step explanation:
The major role of carbohydrates in the human diet is to
Answer: Carbohydrates have many roles, but the main one is to provide energy. But, they also build macromolecules and store energy
Hope this helps :)
Answer:
Provide the body with energy
Hope this helps!!!
Do 5,6 for 15 points
Answer:
5) 6 hours
6)
b) $40 + $5 per ticket is the better option
A dice was rolled five times and the following were rolled: 1, 3, 3, 4, 4
Based on this information, find the experimental P(1).
Answer:
1/5
Step-by-step explanation:
the 5 is the total number of times he tried
the 1 is how many times he rolled a 1
Using the graph, determine the equation of the axis of symmetry.
Answer:
the answer is (-1, -9)
that is the axis of symmetry
This is an upward-facing parabola the axis of symmetry is a line of the form x = -a that is constant.
How to find the points symmetric over axes or origin?Let the point be (x,y)
Case 1: Symmetry with respect to the x-axis
The point becomes (x, -y) as the point flips itself up or down which changes its y coordinate to the negative of whatever it was previously. And no motion is done horizontally so no change in x coordinate.
Case 2: Symmetry with respect to y-axis
The point becomes (-x, y) as the point flips itself left or right which changes its x coordinate to negative of whatever it was previously. And no motion is done vertically so no change in y coordinate.
Case 3: Symmetry with respect to origin
Origin is point at (0,0)
Symmetry with this is a bit ill defined. We use a slant line as if its a diagonal of a square.
The point is reflected to its diagonally opposite quadrant to whatever coordinate it belongs to.
Since diagonally opposite reflection causes both x and y axis to become negative of what it was before, thus,
The point becomes (-x,-y)
The axis of symmetry is where the left side is the mirror image of the right side.
Since this is an upward-facing parabola the axis of symmetry is a line of the form x = -a that is constant.
It will be the x coordinate of the vertex
x = 1
Learn more about symmetry here:
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Name the values represented by the box plot.
Lower quartile:
Upper quartile:
Median:
Answer: The lower quartile is 10, the upper quartile is 21, and the median is 17.
Step-by-step explanation:
Answer:
It sould be 5,10,26
Step-by-step explanation:
. can someone help asap will mark brainliest answer
i don' really get the question but the only 2 mistakes i can spot are:
Munich is in the wrong place and so is Oslo.
explanation:
if you look at the way the other 3 are positioned then you will see
George bought a cylindrical water tank for his garden, but he forgot to ask the seller what the diameter of the tank was. He needs to know the diameter of the tank so that he can build a platform for it to sit on. The seller told him the Volume and the height, calculate the diameter of the tank using the information below.
The volume of the tank is 252π 〖ft〗^3 and its height is 7ft.
Answer:
12 ft
Step-by-step explanation:
252π/7=36π, so r=6. d=r*2=12 ft
Can someone help with step by step
Answer:
See explanation
Step-by-step explanation:
[tex] In\: \triangle ABC \:\&\: \triangle EDC\\
\angle ABC \cong \angle EDC... (Right \: \angle s) \\
\angle ACB \cong \angle ECD... (Vertical \: \angle s) \\\therefore \triangle ABC \sim \triangle EDC... (By\: AA\: Postulate) \\[/tex]
math question screen shot down below
Answer:
B. 1/2
It will always be a 50/50 probability cause there are only 2 sides
Answer CORRECTLY please !! Will mark brainliest !!!!
Answer:
i dont know need points
Step-by-step explanation:
Answer Choices:
y= x + 10; linear
y= x + 10; non linear
y= 10x + 1; linear
y= 10x + 1; nonlinear
C. =10x+1
y-intercept is 1 because it is the start up cost. 10 is the factor because it says "$10 a month" The variable x is the months
Please help me. Thank you. I appreciate it :)
Step-by-step explanation:
the answer should be 18
Answer:
Area = Big one - small one = 4 x (3 + 2 + 1) - 3 x 2 = 24 - 6 = 18 cm2.
=> Option B is correct.
Hope this helps!
:)
We can describe 3x-2 as an expression how can we describe the parts of the expression that the arrows point to?
Answer:
If the arrow is pointing to the -2, that’s the constant.
If the arrow is pointing at x, that’s the variable.
If the arrow is pointing at 3, that’s the coefficient.
If arrow points to → 3x → it is a constant value multiplied by a variable.
If arrow points at → 2 → it is a constant number
What are expressions?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
Given is the following expression → 3x - 2.
Parts of the expression are called its terms. Term of a expression can be a constant number, a variable or a constant value multiplied by a variable. The expression given is → 3x - 2.
If arrow points to → 3x → it is a constant value multiplied by a variable.
If arrow points at → 2 → it is called a constant number
Therefore, we can write -
If arrow points to → 3x → it is a constant value multiplied by a variable.
If arrow points at → 2 → it is a constant number
To solve more questions on Parts of expression, visit the link below-
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Is my answer correct?
Answer: Yes, your answer is correct.