Answer:
288
Step-by-step explanation:
1/2*B*H
1/2*(6*12)*8
1/2*72*8
1/2*576
288
Answer:
[tex]V=288\ cm^2[/tex]
Step-by-step explanation:
Step 1: Determine the volume
[tex]V = \frac{b*h}{2}[/tex]
[tex]V = \frac{(6\ cm * 12\ cm) * (8\ cm)}{2}[/tex]
[tex]V = \frac{72\ cm*8\ cm}{2}[/tex]
[tex]V=\frac{576\ cm^2}{2}[/tex]
[tex]V=288\ cm^2[/tex]
Answer: [tex]V=288\ cm^2[/tex]
Emma lends half her collection of anime novels to her friend, Emily. Emma then buys six more novels. If she has 14 books now, how many novels did Sweden have initially?
Answer:
16
(14-6)×2=16 So initially Emma had 16 books.
a right triangle has a height of 27 inches and a base of 30 inches what is the area of the triangle
Answer:
The answer is 405
Step-by-step explanation:
FIrst you would do 27 times 30 which is 810 then you would divided by 2 which in turn gives you 405
Hope this helped!
Ryan ran 0.5 miles on july 1st. each day
thereafter, he ran 0.3 miles more than the
previous day. find the total number of
miles ran in the month of july.
Answer:
155 miles
Step-by-step explanation:
The sum of n terms of an arithmetic series is given by the formula ...
Sn = (2·a1 +d(n -1))(n/2)
__
The number of miles Ryan ran in July is described by the arithmetic series ...
0.5 +0.8 +1.1 +... (a total of 31 terms)
The first term is a1=0.5, and the common difference is d=0.3.
The total number of miles Ryan ran in July is ...
S31 = (2(0.5) +0.3(31 -1))(31/2) = (1 +9)(31/2) = 155
Ryan ran 155 miles in July.
What is the value of log4 superscript 16?
1
2
4
8
answer ASAP
How many solutions does this system
have?
6x+3y = 9
2x + y = 3
Answer:
The system of equation has infinite solution.
Step-by-step explanation
2x + y = 3
6x = 9 – 3y
First we re-write the second equation in standard form
So, we add 3y both sides
6x+3y=9 ---------------- (2)
2x+y = 3----------------- (1)
3(2x)+3y = 3(3)
6x+3y=9
6x-6x + 3y-3y = 9-9
0=0
LHS=RHS
This is true statement. If statement is true then infinite number of many solution.
Answer:
infinite
Step-by-step explanation:
acellus
QUICK PLSSS im bout to be grounded
Answer:
35
Step-by-step explanation:
Give the MOST specific name for the figure shown. A) parallelogram B) quadrilateral C) rhombus Eliminate D) trapezoid
Answer: C
Step-by-step explanation:
Because there are two pairs of opposite parallel sides, it is a parallelogram.
Since the diagonals intersect at a right angle, the parallelogram is also a rhombus.
The figure below is rotated 180° clockwise. What are the coordinates of the image of point A after this transformation?
Answer:
(-2, -1)
Step-by-step explanation:
The easiest way to approach this problem is to think of each quadrant as being 90 degrees. As you can see, each quadrant has a 90 degree angle.
If we were to move 2 quadrants (or 180 degrees) clockwise, we would end up in the third quadrant (- , -)
Because we are moving clockwise on the graph, the shape would also turn clockwise. 180 degrees is the halfway point, so the shape will appear to be upside down.
If you're a visual learner, I'd recommend finding a website with an online graph (something like desmos or geogebra) that would allow you to actually graph the points and change their position with commands.
Hope this helps :)
What is the length of the hypotnuse in a right triangle with sides lengths of 8 and 15
Answer:
Hypotenuse = 17
Step-by-step explanation:
if: a = 8, b = 15 c = hypotenuse:
[tex]c=\sqrt{a^{2}+b^{2} }[/tex]
[tex]c = \sqrt{(8)^{2} +(15)^{2} } =\sqrt{64+225}=\sqrt{289} =17[/tex]
Hope this helps
verify the identity
sin^3 0 +cos^3 0 / sin 0+ cos 0 = 1 - sin 0 cos 0
Answer:
See below for proof of identity.
Step-by-step explanation:
Since both terms of [tex]\sin^3\theta+\cos^3\theta[/tex] are perfect cubes, we can use the formula [tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex] where [tex]a=\sin\theta[/tex] and [tex]b=\cos\theta[/tex]:
[tex]\displaystyle \frac{\sin^3\theta+\cos^3\theta}{\sin\theta+\cos\theta}\\\\\frac{(\sin\theta+\cos\theta)(\sin^2\theta-\sin\theta\cos\theta+\cos^2\theta)}{\sin\theta+\cos\theta}\\ \\\frac{(\sin\theta+\cos\theta)(1-\sin\theta\cos\theta)}{\sin\theta+\cos\theta}\\\\1-\sin\theta\cos\theta[/tex]
Thus, the identity is proven.
1) How big is a horsefly if 1 cm = 1m?
2) How big is the ghost if 1 cm= 20 cm?
3) How big is the kitty if 1 cm = 10 cm?
Suppose that the mean GPA (grade point average) for a random sample of all seventh graders at your school is 3.25 and the mean GPA for a random sample of all eighth graders at your school is 2.85. Explain why this does not tell us that the mean GPA of all seventh graders at your school is different from the mean GPA of all eighth graders at your school.
Answer:
I don't know how to explain
(rounding) 0.46. whats the nearest tenth?
Answer:
0.5
Step-by-step explanation:
4 is in the tenths place and 6 is in the hundredths place
Since the digit in the hundredths place (6) is greater than or equal to 5, add 1 to the digit in the tenths place (4)
1 + 4 = 5, so the digit in the tenths place becomes 5
The digit in the hundredths place is dropped
0.46 rounded to the nearest tenth (one decimal place) = 0.5
Which two expressions are equivalent?
O z
7 (6+z)
7.6+7.2
O
3 (9+y)
3.9+ y
O
t +(4.5)
(t + 4).5
X + 12 : 4
(4+12) = x
Answer:
First option
Step-by-step explanation:
The result of first expression:
7(6+z) multiply 7 with inside the parenthesis
7(6+z) = 42 + 7z
the result of second expression:
since we need to do multiplying first,
7*6 = 42 and 7*z = 7z
then we add them
42 + 7z this is the same result we found for the first equation
1. it has at least 10 values. 2. it has at least 3 values that are different. 3. it has a mean and median of 12.
Answer: 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17
Step-by-step explanation:
First, we can ensure that 12 is the median by putting it in the middle and putting the same amount of numbers to its left and right side. To make the values have a mean of 12, the easy why to do it is to subtrate one as you move to the left and add one as you move to the right, that way they will cancel each other out and keep the mean at 12. The answer has a total of 11 values, has more than 3 values that are different, and has a mean and median of 12.
7+8+9+10+11+12+13+14+15+16+17=132
132/11=12
There are 5 values to each side of 12, making 12 the median.
11. Evaluate: 5x +1 when x = 2 ? A. -11 C. 6 B. -6 D. 11
help me please
Answer:
11
Step-by-step explanation:
First, you replace x with 2
5×2+1
Then multiplication comes before addition so 5×2
5×2=10
Then just add the 1
10+1=11
Find the values of the numbers m and n that will make (2x + m)2 = 4x2 + nx + 9 true, given
that both m and n are positive numbers.
The values of the numbers m and n that makes the given expression true are 3 and 12 respectively
Solving an equationFrom the question, we are to determine the values of the numbers m and n that will make the given expression true
The given expression is
(2x + m)² = 4x² + nx + 9
Opening the bracket on the left hand side,
(2x + m)²
(2x + m)(2x + m)
4x² + 2mx + 2mx + m²
4x² + 4mx + m²
∴ 4x² + 4mx + m² = 4x² + nx + 9
By comparing,
4mx = nx;
Then, 4m = n
and
m² = 9
∴ m = ±√9
m = ±3
Since we are given that both m and n are positive numbers,
∴ m = 3
Substitute the value of m into the equation, 4m = n
4×3 = n
∴ n = 12
Hence, the values of the numbers m and n that makes the given expression true are 3 and 12 respectively
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Grade 8 Mathematics level 3
The value of x in the given equation [ √( 1 + (25/144) ) = 1 + (x/12) ] is 5.
What is an Equation?
An equation is simply a mathematical formula that expresses the equality of two expressions, using the equals sign as a connection between them.
Given that;
√( 1 + (25/144) ) = 1 + (x/12)Find the value of x.First, we square both sides
√( 1 + (25/144) ) = 1 + (x/12)
(√( 1 + (25/144) ))² = (1 + (x/12))²
1 + (25/144) = 1 + ( x²/144)
Collect like terms
1 - 1 + (25/144) = ( x²/144)
25/144 = x²/144
We cross multiply
25 × 144 = x² × 144
Multiply each sides by 1/144
x² = 25
x = √25
x = 5
Therefore, the value of x in the given equation [ √( 1 + (25/144) ) = 1 + (x/12) ] is 5.
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What is the measure of the base of the rectangle if the area
of the triangle is 32 ft2 ?
Answer:
it would be a
Step-by-step explanation:
8x4=32
The base of the given triangle is calculated as: 16 ft
How to find the area of a triangle?The formula that is used to calculate the area of a triangle is expressed as:
Area of triangle= ½ × base × height
We are given that:
Area = 32 ft²
Height = 4 ft
Thus:
32 = ½ × base × 4
32 = 2 * base
base = 32/2
base = 16 ft
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A scientist uses a submarine to study ocean life.
• She begins at sea level, which is an elevation of o
feet.
. She travels down 20.6 feet.
. She then rises 12.5 feet.
• Next, she descends a second time, 32.4 feet.
How many feet must she now ascend to get back to
sea level?
Based on the illustration given above, the feet that she now need to ascend to get back to sea level is 40.5.
What is the sea level about?Note that the first descend was 20.6 - 12.5 =
8.1 feet
Then she drop 32.4 feet again
So to get back up she need to add:
= 32.4 feet + 8.1 feet
= 40.5
Therefore, based on the calculation given above, the feet that she now need to ascend to get back to sea level is 40.5.
Learn more about sea level from
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PLease Help me for a brainlist its a math problem please see image attached thanks
Answer:
b
Step-by-step explanation:
the answer is b if values are plugged in to function
Answer:
y = -(x - 2)² - 4
Step-by-step explanation:
The vertex of this function is (2, -4), which is given in the tableThe vertex form an equation is given as :
y = a(x - h)² + kSubstitute the vertexy = a(x - 2)² - 4Substitute any point in the table to find a :
-8 = a(0 - 2)² - 44a = -4a = -1Hence, the final equation :
y = -(x - 2)² - 4Option 2Which number sentence is not true?
A. |-20| < 20
B. |9| = 9
C. |-20| > |9|
D. |9| < |20|
Answer:
A
Step-by-step explanation:
|-20| = 20 the positive value of -20
20 is not < 20 so A is false
All the rest are true
(B) |9| = 9
(C) |-20| = 20 > 9
(D) |9| = 9, |20| = 20 and 9 < 20
the simplified form of 6ab + 14a - 2ab + 3a is:
A) 21ab B) 4ab + 11a C) ab + 7a D) 4ab + 17a E) 4 + 17a
the solution to the equation 2x - 3 = 7 is:
A) x = 2 B) x = -5 C) x = 5 D) x = 6.5 E) x = 0.5
the solution to [tex]\frac{x}{3} -1 =4[/tex] is:
A) x = 13 B) x= 7 C) x = 9 D) x = 15 E) [tex]x=\frac{5}{3}[/tex]
the expanded form of 3(2y - 1) is:
a) 6y - 3 b) 5y - 1 c) 6y - 1 d) 6y + 2 e) 3y - 3
an equivalent equation to 5x = 2x + 9 is:
a) 2x = 5 b) 3x = 9 c) 0 = 3x + 9 d) 7x = 9 e) x = 9
the solution to the equation 2(x - 3) = 7 is:
a) x = 5 b) x = [tex]\frac{13}{2}[/tex] c) x = 2 d) x = [tex]\frac{1}{2}[/tex] e) x =[tex]\frac{7}{3}[/tex]
Eli is x years old. his sister is 2 years older. the sum of their ages is 22. a simplified equation to represent this is:
a) x + 2 = 22 b) 2x + 2 = 22 c) 2(x + 2) = 22 d) x(x + 2) = 22 e) 2x = 22
if A = [tex]\frac{1}{2}[/tex]bh with A = 360 and h = 40, then the value of b is:
a) 90 b) 4.5 c) 20 d) 18 e) 9
Answer:
2) x=5
4) 6y-3
Step-by-step explanation:
2) 2x-3=7
Add 3 on both sides (-3+3 cancel each other out and 7+3 is 10)
Now your equation is 2x=10
Divide 2 from both sides
2x/2 cancel each other and 10/2 is. Therefore, x=5
4) 3(2y-1)
3 times 2y is 6y
3 times -1 is -3 (negative times positive is negative)
Equation: 6y-3
15,266,783.93 + 6,332,682.27442 - 92.833 + 20/100 divided by 42
Answer: 21599373.37618
Step-by-step explanation:
There are 914 students enrolled in Lakeview Elementary School. Frederich Elementary School has 276 fewer students enrolled. How many students are enrolled at Frederich Elementary School?
Answer:
638 students.
Step-by-step explanation:
girl this is basic math i don’t think i need to explain
find the surface area of the cube
Please, someone help. I will give brainliest. (I dont need an explanation just an answer please.)
Answer:
C
Step-by-step explanation:
In 3 options, the coefficient of x on both sides is the same. Hence, they will all have no solution. The only one which has exactly one solution is :
C. 6x + 8 = -6x + 20What is the slope of the line that passes through the points (-1, 1) and (-1, 4)? Write your answer in simplest form.
Answer: undefined
Step-by-step explanation:
slope form: [tex]\frac{y2 - y1}{x2 - x1}[/tex]
simply plug in values
[tex]\frac{4-1}{-1-(-1)}[/tex]
[tex]\frac{3}{0}[/tex]
Answer: undefined
you can also tell by realizing both x coords are the same, meaning the line is verticle and verticle lines' slopes are undefined
1. Find the measurement of CD:
2x + 18
a) 6
b) 8
B
c) 24
d) 32
D
8x
А
Step-by-step explanation:
2x + 18
x = 18÷2
x=9
hence the answer is 9
how many pop tarts come in a pop tart?