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.
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]
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
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:
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.
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 help with this
Answer:
Is D
Step-by-step explanation:
Because is moving four times right and four times down.
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
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
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
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
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 ;)
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:
What is the surface area of the prism
Please answer the attachment below Correctly
Step-by-step explanation:
Find the cost of one part and then multiply that number by 9
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.
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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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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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!
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.
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
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
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:
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.
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
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
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 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
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:)
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
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
