Answer:
The difference between area of pyramids is 125 sq.m.
Step-by-step explanation:
Length of base = 10m
Breadth of base = 10 m
Slant height = 15 m
Area of pyramid = Area of 5 bases
Area of pyramid = [tex]\frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+10 \times 10[/tex]
Area of pyramid = 400 sq.m.
Now the length of base is increased to 15
Length of base = 15m
Breadth of base = 10 m
Slant height = 15 m
Area of pyramid = Area of 5 bases
Area of pyramid =[tex]\frac{1}{2} \times 15 \times 15+\frac{1}{2} \times 15 \times 15+\frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+10 \times 10[/tex]
Area of new pyramid = 525 sq.m.
Difference between area of pyramids=525 sq.m. - 400 sq.,. = 125 sq.m.
Hence The difference between area of pyramids is 125 sq.m.
benjamin writes an expression for the sum of 1 cubed, 2 cubed, and 3 cubed. What is the value of the expression
Answer:
14
Step-by-step explanation:
(1*1)+(2*2)+(3*3)
1+4+9
5+9
14
Given ( 12 -13 17 -22) (x y)= (7 -51), what is |A y|?
B.) | 12, 7, 17, -22 |
The complete question is attached below:
What is matrix ?A set of numbers arranged in rows and columns so as to form a rectangular array.
Given:
[tex]\left[\begin{array}{ccc}12&-13\\17&-22\end{array}\right]* \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}7\\-51\end{array}\right][/tex]
[ 12x - 13 y
17x - 22y ] = [tex]\left[\begin{array}{ccc}7\\-51\end{array}\right][/tex]
As we need to find Ay for that the matrix on RHS of equal sign [tex]\left[\begin{array}{ccc}7\\-51\end{array}\right][/tex] is to be putted in the matrix [tex]\left[\begin{array}{ccc}12&-13\\17&-22\end{array}\right][/tex]
Hence, Ay = [tex]\left[\begin{array}{ccc}12&7\\17 & -51\end{array}\right][/tex]
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Help me please!!!! Thank you
Answer:
[tex]ange a is 5[/tex]
angle b is 20
Answer:
angle a is 40
angle b is 20
amgle c is 120
Step-by-step explanation:
What is the surface area of the prism
Can someone help me with this?
You flip a coin 50 times. What is the probability that you will get tails exactly 35 times?
Answer:
35:50 would be the probability:)
Look at the attached photo
Answer:
Step-by-step explanation:
radius of the circle=12 cm / 2=6 cm
Area of the square=side²=(12 cm)²=144 cm²
Area of the circle=πr²=(3.142)(6 cm)²≈(3.142)*36 cm²≈113.112 cm²
Area of the four sides between the square and the circle=
=Area of the square - area of the circle=144 cm²-113.112 cm²=30.888 cm²
shaded area =30.888 cm²/4=7.722 cm²
Answer =7.722 cm²
Match the words with their definitions.
1.
denominator
symbol with three parts: a horizontal bar, a whole number
above the bar, and a whole number below the bar
number with a value less than 1, written in place value
notation, using a decimal point
2.
numerator
3. of a fraction, the number above the horizontal bar
fraction
4. of a fraction, the number below the horizontal bar
percent
5. number with a whole number part and a fraction part
decimal fraction
6. per hundred; out of every hundred; hundredths
improper fraction
7.
fraction with a numerator greater than its denominator, giving
it a value greater than 1
mixed number
Answer:
denominator-of a fraction the number below the horizontal bar
numerator-of a fraction the number above the horizontal bar
fraction- ??? I don't see the definition
decimal fraction-symbol with three parts: a horizontal bar, a whole number above the bar, and a whole number below the bar number what's up value less than one, written place value notation, using a decimal point
percent-per hundred; out of every hundred; hundredths
improper fraction - fraction with a numerator greater than its denominator, giving it a value greater than 1
mixed number - number with a whole number part and a fraction part
Find the maximal and minimal value of z = 3x + 4y subject to the
following constraints:
x +2y 14
3x- y>/0
x- y 2
Answer:
Refer to the screenshots provided
Answer: look at the screenshots
Step-by-step explanation: Hope it helps ;)
Please help me . (Right now)
Answer:
The area of trapezoid is 39.6cm²
Step-by-step explanation:
Given that the formula of area of trapezoid is A = 1/2×(a+b)×h where a and b is the length and h is the height. So you have to substitute the values into the formula :
[tex]area = \frac{1}{2} \times (a + b) \times h[/tex]
[tex]let \: a \: = 8.9 \\ let \: b \: = 5.5 \\ let \: h \: = 5.5[/tex]
[tex]area = \frac{1}{2} \times (8.9 + 5.5) \times 5.5[/tex]
[tex]area = \frac{1}{2} \times 14.4 \times 5.5[/tex]
[tex]area = \frac{1}{2} \times 79.2[/tex]
[tex]area = 39.6 {cm}^{2} [/tex]
Answer: The area is 39.6
Step-by-step explanation:
First multiply 5.5×5.5= 30.25
Then subtract 8.9 - 5.5=3.4
Then multiply 5.5 x 3.4=18.7
Divide 18.7/2=9.35
Add 30.25 + 9.35 =39.6
b x h ÷2
[tex]l *w=a[/tex]
Hope this helps.
Lines m and n are parallel. Parallel lines m and n are cut by transversals s and t. Clockwise from top left, the angles formed by m and t are blank, blank, (5 x minus 1) degrees, blank; formed by m and s are blank, (9 x + 2) degrees, blank, 1; formed by n, s, and t are blank, 2, 74 degrees, blank, blank, blank. What is Measure of angle 2? 39 degrees 57 degrees 67 degrees 74 degrees
Answer:
67
Step-by-step explanation:
Answer:
67
Step-by-step explanation:
the average human hair measures about 90 micrometers wide which is 0.00009 correctly represent this in scientific notation
Answer:
90 micrometers / 1,000,000 = 0.00009 meters =
9 x 10^-5 meters
Step-by-step explanation:
Answer:
0.9 x 10^-4
Step-by-step explanation:
its pretty simple lol
Solve -3 1/2= 1/2x+ 1/2x+x
Answer:
-1 3/4
Step-by-step explanation:
1/2x + 1/2x + x
2x = -3 1/2
/2 /2
x = -1 3/4
A transversal is:
A. a line that makes an angle with another line.
B. a line that crosses at least two other lines.
O. C. a sksies of parallel lines.
D. a line that crosses just one other line.
The totalnumber of combinations are ______.
Answer:
b.
Step-by-step explanation:
Answer:
b) 75
Step-by-step explanation:
The totalnumber of combinations are: 5×3×5 = 75
You have 5 choices for a drink and for each drink you have 3 choice for a sandwich and for each chosen sandwich you have 5 choices for a side.
a combination is :
( drink , sandwich, side )
5 × 3 × 5
A spinner has 4 equal-sized sections. To win the game, the pointer must land on a purple section.
Complete the statement.
favorable outcomes
?
P(purple) =
= ?
total number of possible outcomes 4
Click the icon to view the spinner.
favorable outcomes
P(purple) =
total number of possible outcomes
(Type integers or simplified fractions.)
4
Answer:
1/4
Step-by-step explanation:
In a spinner which has 4 equal-sized sections., the probability of pointer must land on a purple section to win the game is 1/4.
What is probability?
Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
A spinner has 4 equal-sized sections. To win the game, the pointer must land on a purple section. Thus, the number of favorable outcomes is,
[tex]P(\text {purple}) =1[/tex]
Total number of possible outcomes is 4 as there is 4 equal-sized sections. Thus, the probability of the pointer must land on a purple section is,
[tex]P=\dfrac{1}{4}[/tex]
Thus, in a spinner which has 4 equal-sized sections., the probability of pointer must land on a purple section to win the game is 1/4.
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What is the length of CD?
Round to one decimal place.
Answer:
CD = 3.9 (if you round up then it would be 4)
Step-by-step explanation:
6.5 - 2.6 = 3.9
The height (h) of a fireball launched from a Roman candle with an initial velocity of 64 feet per second is given by the equation h(t) = -16t^2 + 64t, where t is time in seconds after launch. Use the graph of this function to answer the questions. Estimate the time when the fireball is at its maximum height.
A. 2.3 seconds
B. 2 seconds
C. 0 seconds
D. 4 seconds
Answer: C or 2 seconds.
Step-by-step explanation:
To find the vertex in a standard form equation: (-b/2a,f(-b/2a))
plug it in: -64/2*-32 = 2
Using the information given, select the statement that can deduce the line segments to be parallel. If there are none,
then select none.
When m
8=m4
Answer:
b) AD || BC
Step-by-step explanation:
The missing options are:
a) AB || DC
b) AD || BC
c) none
The missing drawn is shown in the figure attached.
The only way that m∠8 = m∠4 is that segment AD and segment BC are parallel. Because in that case, they are alternate angles, and therefore, they are equal. Notice that angle 8 lies on side AD and angle 4 lies on BC
Answer:
b) AD || BC
Step-by-step explanation:
PLEASEE HELPP....Simplify the expression using properties of exponents.
Answer:
D
Step-by-step explanation:
Using the rule of exponents
[tex]\frac{a^{n} }{a^{m} }[/tex] = [tex]\frac{1}{a^{(m-n)} }[/tex]
Given
[tex]\frac{25a^{-5}b^{-8} }{5a^{4}b }[/tex]
= [tex]\frac{25}{5}[/tex] × [tex]\frac{a^{-5} }{a^{4} }[/tex] × [tex]\frac{b^{-8} }{b^{1} }[/tex]
= 5 × [tex]\frac{1}{a^{(4-(-5))} }[/tex] × [tex]\frac{1}{b^{(1-(-8))} }[/tex]
= 5 × [tex]\frac{1}{a^{9} }[/tex] × [tex]\frac{1}{b^{9} }[/tex]
= [tex]\frac{5}{a^{9}b^{9} }[/tex] → D
10. You are given the equation 2(1/2t+3)=1to solve as part
of a homework assignment.
PART A
Describe the first step needed to solve
the equation.
PART B
Solve the equation for t.
Please help with this
Answer:
Is D
Step-by-step explanation:
Because is moving four times right and four times down.
7/8 of my money is £4.90. What is 5/8 of it?
AWARDING BRANLIEST TO WHOEVER CAN ANSWER!!
Answer:
£3.50
Step-by-step explanation:
£4.90 = 7/8
£4.90/(7/8) = £5.60 (Total Amount of Money)
£5.60 x (5/8) = £3.50
Answer:
£3.50
Step-by-step explanation:
[tex]\frac{7}{8}[/tex] = £4.90
(÷7) (÷7)
[tex]\frac{1}{8}[/tex] = £0.70
(×5) (×5)
[tex]\frac{5}{8}[/tex] = £3.50
I hope this helps <3
What is the perimeter of the triangle?. I need help with this pretty please
Answer:
132
Step-by-step explanation:
13x2= 26 26+18 = 44
44x3=132
If you spun the spinner 1 time, what is the probability it would land on a white piece? Put your answer in fraction form.
Answer:
4/7
Step-by-step explanation: Since there are 7 possible outcomes because there are 7 triangles the denominator will be 7. Since there are 4 white squares the chances of landing on one is 4/7
Find the equation of a line passing through the point (6,−5) and parallel to the line y = 7x + 1. answers : y = 7x − 47 y = −17x + 41 y = −17x +477 y = 7x − 29
Answer:
y = 7x-47Step-by-step explanation:
[tex]y = 7x + 1.\\(6,-5)\\m= 7\\x1= 6\\y1 = -5\\y-y1=m(x-x1)\\y-(-5) = 7(x-6)\\y+5=7x-42\\y=7x-42-5\\y = 7x-47[/tex]
If the base is 4, what is the value if the exponent is 2? What if the exponent is -2?
A) 16, 1/16
B)16, -16
C)8, -8
D)8, 1/8
The right answer is 16,1/16
Please see the attached picture for full solution
Hope it helps..
Good luck on your assignment
For the base value of 4, if the exponent is 2; the value will be 16.
For the base value of 4, if the exponent is -2; then value will be 1/16.
Base and ExponentA base number and an exponent are typically used to denote a power.
What is base value?The total number of digits required to express numbers in a number system is known as the base in mathematics. What number is being multiplied is revealed by the base number.
What is exponent?The exponent, a little number printed above and to the right of the base number, provides the multiplicative power of the base number.
Calculation for the exponent of 2:The base number is given as 4.
The exponent is given as 2.
So, the number becomes,
=> [tex]4^{2} =4[/tex]×[tex]4[/tex]
= 16
Thus, the base 4 with exponent 2 becomes 16.
Calculation for the exponent of -2:The base number is given as 4.
The exponent is given as -2.
So, the number becomes,
=> [tex]4^{-2} =\frac{1}{4^{2} }[/tex]
= [tex]\frac{1}{16}[/tex]
Thus, the base 4 with exponent -2 becomes 1/16.
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What is 588.75 to the nearest cubic inch?
Answer:
589
Step-by-step explanation:
To find the nearest cubic inch, round your volume measurement down to the nearest whole number if the number to the right of the decimal point is less than 0.5 . If the decimal point is 0.5 or greater, round up.
In this case, your decimal point is 0.75 , which is greater than 0.5 . This means we round up.
588.75 --> 589
Answer:
589
Step-by-step explanation:
588.75 rounded up would be 589!
2) Trisha owns 25 shares of a common stock in a pharmaceutical company. Last month the price of the stock was $35.48 per share. Today, the price of the stock is $27.36. By how much did the value of the stock decrease? Enter your answers as a number like 105.
Answer: 77 percent
Step-by-step explanation:
The value of the stock decrease by 23.13%.
What is Percent Decrease?The difference between starting and final numbers is the percentage drop. It displays a percentage loss of value compared to the original regardless of the units. The difference between the initial and final amounts is the amount of decline.
Given:
The price of the stock was $35.48.
Then The price of the stock is $27.36.
So, the decrease in amount= 35.48 - 27.36 = 8.12
Then, percent decrease
= 8.12/ 35.48 x 100
= 23.13%
Hence, the percent decrease is 23.13%.
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Please answer the attachment below Correctly
Step-by-step explanation:
Find the cost of one part and then multiply that number by 9
Find the domain of the function.
y = 5[tex]\sqrt{x}[/tex]
Answer:
[0, infinity)
Step-by-step explanation:
The domain is including all numbers from 0 to infinity.
The reason negative numbers are not included is because of the [tex]\sqrt{x}[/tex]. A negative number cannot be included there, otherwise it would be what's called an "imaginary number" (i).
Therefore, every number besides negative numbers are included in the domain.
