answer:
1393.84
Step-by-step explanation:
since the formula for a square base pyramid is a^2×h/3
we can find out the height for the pyramid by dividing the a^2×h/3 by a^2 =h/3
1568/7^2=32 since 32 = h/3 we multiply by 3 to find the height which = 96
now that we have the height we usee the pathagorean Therom to find the height of one of the face triangles
so 96^2+3.5^2=L^2 so L =96.06
so now that we have all we need
the surface area of the square at the bottom of the pyramid is 7×7
the surface area of the triangles are 96.06 ×7/2 since the area of a triangle is h×b/2
since there are 4 triangles and on square 49+4(96.06×7/2)= 1393.84
1. Jeremy has $12000 cash to invest in the bank compounded at 4% interest annually.
a.
What equation will calculate the value in x years? y =
Answer:
[tex]A(x) = 12000(1.04)^x[/tex]
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
$12000 cash
This means that [tex]P = 12000[/tex]
Compounded at 4% interest annually.
This means that [tex]r = 0.04, n = 1[/tex]
What equation will calculate the value in x years?
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(x) = P(1 + \frac{r}{n})^{nx}[/tex]
[tex]A(x) = 12000(1 + 0.04)^x[/tex]
[tex]A(x) = 12000(1.04)^x[/tex]
In ΔDEF, the measure of ∠F=90°, ED = 25, DF = 24, and FE = 7. What ratio represents the sine of ∠D?
Answer:
39/89
Step-by-step explanation:
Answer:
7/25
Step-by-step explanation:
(sin) = opp/hyp
look at pic 10 pts will mark brainilest
Answer:
111
Step-by-step explanation:
y-18=14
y=14+18
y=32
substitute the vale of y
3(y+5)
3(32+5)
3*37
111
14+6×(9-6)
please answer
Answer:
32
Step-by-step explanation:
14+6(9-6)
[9-6=3]
14+6x3
[6x3=18]
14+18
32
---
hope it helps
Answer:
14+6×(9-6)=32
0.87 written as a fraction
Answer:
[tex] \frac{87}{100} [/tex]Step-by-step explanation:
Convert to a mixed number by placing the numbers to the right of the decimal over 100. Reduce the fraction.
Hope it is helpful...Answer:
87/100
Step-by-step explanation:
Find the size of the of angle x.
Answer:
80 degrees
Step-by-step explanation:
Since a triangle is 180 degrees
you then add to 2 degrees given and subtract it from 180
65+35=100
180-100=80 degrees
Use the zero product property to find the solutions to the equation x2 – x – 6 = 0.
Answer:
x=3 and x=-2 is the root of given eq
Answer:
Use the zero product property to find the solutions to the equation x2 – x – 6 = 0.?
x = –2 or x = 3 is the answer
Step-by-step explanation:
Help please, it’s for average rate of change.
Answer in fraction form = -3/2
Answer in decimal form = -1.5
=========================================
Work Shown:
[tex]m = \frac{g(b)-g(a)}{b-a}\\\\m = \frac{g(1)-g(-3)}{1-(-3)}\\\\m = \frac{0-6}{1-(-3)}\\\\m = \frac{0-6}{1+3}\\\\m = \frac{-6}{4}\\\\m = -\frac{3}{2}\\\\m = -1.5\\\\[/tex]
Effectively, we're finding the slope through the points (-3, 6) and (1, 0)
The g(b)-g(a) represents how y changes when going from x = a to x = b.
(d) 4 – 0.2 x (0.4 + 0.7)
Answer:
4d - 0.22
Step-by-step explanation:
A spinner is divided into 8 equal sections where 3 are black, 4 are yellow, and I is red. If it is spun randomly, what is the probability of it landing either on a yellow or a red section?
Given:
A spinner is divided into 8 equal sections where 3 are black, 4 are yellow, and 1 is red.
To find:
The probability of it landing either on a yellow or a red section.
Solution:
We have,
Total number of sections = 8
Black sections = 3
Yellow sections = 4
Red sections = 1
Now,
Either yellow or red sections = 4 + 1
= 5
Now, the probability of it landing either on a yellow or a red section is:
[tex]\text{Required probability}=\dfrac{\text{Either yellow or red sections}}{\text{Total number of sections}}[/tex]
[tex]\text{Required probability}=\dfrac{5}{8}[/tex]
Therefore, the required probability is [tex]\dfrac{5}{8}[/tex].
According to a NY Times article on December 13, 2009, The average selling price of a 32-inch LCD TV was $600. Use the annual CPI values from your text to compute the cost of that same TV in 2010 dollars. Express your answer rounded to the nearest cent.
Answer:
Your answer should be 647.51
Explanation : the price was 215.949 in December, 2009.
the price was 233.049 in December, 2013.
divide 233.049 by 235.949 and got 1.079185363.
multiply that by 600 and got 647.5112179.
The cost of the TV in 2010 is $647.5
Calculations and ParametersGiven that the complete information contains the Consumer Price Index values:
To find the CPI,
CPI= [tex]\frac{C_t}{C_0}[/tex]
Where C_t= cost of the market basket in the current period
C_0 = cost of the market basket in the base period
In December 2009, the price was 215. 949
In December 2013, the price was 233.049
Hence,
215. 949/233.049
= 1.079185363.
Then we would multiply by the base selling price
[tex]1.079185363 * 600 = 647.5112179.[/tex].
Read more about the consumer price index here:
https://brainly.com/question/1889164
#SPJ6
A rectangle has a length of 16
inches and a width of 6 inches. A similar rectangle has a length of 24 inches. What is the width of the similar rectangle?
Answer:
9 inches
Step-by-step explanation:
Given
Let;
[tex]L = Length; W= Width[/tex]
So:
[tex]L_1=16in; W_1 = 6in[/tex]
[tex]L_2 = 24[/tex]
Required
Determine [tex]W_2[/tex]
To do this, we make use of the following equivalent ratios
[tex]L_1 : W_1 = L_2:W_2[/tex]
This gives
[tex]16 : 6= 24:W_2[/tex]
Express as fraction
[tex]\frac{6}{16}= \frac{W_2}{24}[/tex]
Multiply by 24
[tex]W_2 = 24 * \frac{6}{16}[/tex]
[tex]W_2 = 9[/tex]
Wei has 150.00 to make a garland using 60-cent balloons
Answer:
The answer is 0.60b + 0.30w = 150; 60 + 0.30w = 150
Step-by-step explanation:
Oliver wants to compare the number of hours 7th graders
and 8th graders play video games per week. He makes a
box-and-whisker plot for each data set.
8th Grade
7th Grade
10
12
14
16
18
20
22
24
26
28
30
32
Which value do you know is lesser for 7th grade than 8th
grade?
Circle O has a circumference of approximately 25077 ft.
Nhat is the approximate length of the diameter o?
40 ft
O 80 ft
0 125 ft
250 ft
Answer:
7,982 ft
Step-by-step explanation:
c = πd
25077 = πd
Divide both sides by π
25077/π = d
d = 7,982 ft
----------------------
I think the 25077 number in the question might be a typo
Just divide the correct number by 3.14 to get the diameter.
Calculating area of rectangle
Your measurments Another student's measurements
Length (cm) 20.70 20.74
Width (cm) 10.44 10.46
Area (cm2)
Required:
Why might two students have different calculated areas when measuring the same rectangle?
Answer:
[tex]Area = 216.108cm^2[/tex] --- You
[tex]Area = 216.940cm^2[/tex] --- Another student
Reason: Because there is a variation in the given dimensions
Step-by-step explanation:
Given
Your measurement
[tex]Length = 20.70cm; Width =10.44cm[/tex]
Another students'
[tex]Length = 20.74cm; Width =10.46cm[/tex]
Solving (a): The area
Area is calculated as:
[tex]Area = Length * Width[/tex]
For you
[tex]Area = 20.70cm * 10.44cm[/tex]
[tex]Area = 216.108cm^2[/tex]
For the other student
[tex]Area = 20.74cm * 10.46cm[/tex]
[tex]Area = 216.940cm^2[/tex]
Solving (b): Reason for the variation in the areas
The given measurements are estimates of the dimensions of the rectangle.
Since there is a variation in the estimates, there will be some level of variation in the calculated area.
factorise y^3- 7y+6
Answer:
(y−1)(y−2)(y+3)
Step-by-step explanation:
Factor y3−7y+6
y3−7y+6
=(y−1)(y−2)(y+3)
Answer:
(y - 2) (y-1) (y+3)
Step-by-step explanation:
y³-7y+6
= y³ +2y² - 2y² - 3y - 4y +6
= ( y³ +2y² - 3y) - (2y² + 4y -6)
= y( y² +2y -3) - 2( y² + 2y -3)
= (y² +2y -3)(y-2)
= ( y² +3y -y -3)(y-2)
= [ y( y+3) -(y+3)] ( y-2)
= (y-1)(y+3)(y-2)
There were 436 tickets purchased for a major league baseball game. The general admission tickets cost $6.50 and the upper reserved tickets cost $8.00. The total amount of money spent was $3284.00. How many of each kind of ticket were purchased?
How many general admission tickets were purchased? ____
How many upper reserved tickets we purchased? ___
Answer:
How many general admission tickets were purchased? __136__
How many upper reserved tickets we purchased? _300_
Step-by-step explanation:
Let the number of general tickets = g.
Let the number of reserved tickets = r.
6.5g + 8r = 3284
g + r = 436
6.5g + 8r = 3284
(+) -8g + -8r = -3488
--------------------------------
-1.5g = -204
g = 136
g + r = 436
136 + r = 436
r = 300
Answer:
How many general admission tickets were purchased? __136__
How many upper reserved tickets we purchased? _300_
Answer:
136 general admission tickets were purchased
300 upper reserved tickets were purchased
Step-by-step explanation:
This is a classic system of equations problem. Let the number of general admission tickets sold be [tex]g[/tex] and the number of reserved tickets sold be [tex]r[/tex]. We can write the following system of equations:
[tex]\begin{cases}6.50g+8.00r=3284,\\g+r=436\end{cases}[/tex]
Multiply the second equation by -8 and add both equations to isolate [tex]g[/tex]:
[tex]-8(g+r)=-8(436),\\-8g-8r=-3488,\\\begin{cases}6.50g+8.00r=3284,\\-8g-8r=-3488\end{cases},\\-1.5g=-204,\\g=\frac{-204}{-1.5}=\boxed{136}[/tex]
Now substitute [tex]g=136[/tex] into [tex]g+r=436[/tex] to find the number of reserved tickets sold:
[tex]g+r=436,\\136+r=436,\\r=436-136=\boxed{300}[/tex]
find the probability of spinning an A 3 times
Có 6 quyển sách và 7 quyển vở. Hỏi có bao nhiêu cách chọn
một trong các quyển nói trên?
Answer:
eeeeeee
Step-by-step explanation:
xdddddddudjdjdjdjdjdjsjsjsjsjsjsjsjjsjsjsjsjsjsjsjsjsjsjjs
Help me out plsssssss
Answer:
125
Step-by-step explanation:
the bearing of b to a is equal to 85+45
Mr. Jackson lengthened the fence along the back of his yard. Before he added 130 feet, the fence was 300 feet long. He divided the fence into 5-foot sections.
How many 5-foot sections does he have now?
A. 86
B. 60
C. 26
D. 430
is it A?
Answer:
The answer is A, 86 sections.
Step-by-step explanation:
Step one : Add the 130 feet on to the 300 feet to find the new length of the fence.
130 + 300 = 430
Step two : find how many 5 foot sections he has now, divide 430 by 5.
430/5 = 86
Mr. Jackson can divide the new fence into 86 5-foot sections.
The answer is A, 86 sections.
solve 14a-3b+9c=18 for a. Do not use a= in your answer
Answer:
9/7 + 3/14b - 9/14c
Step-by-step explanation:
See image below:)
Using the quadratic formula to solve x2 + 20 = 2x, what are the values of x?
O 1+√211
O-1+ 19;
O 1+2 V19;
O 1+ 19;
Answer:
1 ± √19i
Step-by-step explanation:
verify that A(3, 1), B(0, 5), and C(-1, -1) are the vertices of a right triangle.
By the distributive law, 49 * 17 + 49 * 3 =
Answer:
980
hope it helps
Angles D and G are complementary. What statement must always be true about angles D and G?
Answer:
They will never intersect. I'm pretty sure that is right
Can y’all help on question 29?!
Answer:
Option C: 20 cm^2
Step-by-step explanation:
Essentially, surface area is just area added up. In this question, there are 4 same rectangles and 2 squares with the areas given. So you have to figure out the total.
Since there are 4 rectangles and each of them has an area of 4cm just multiply 4 by 4 to get 16.
Then, since there are 2 squares with an area of 2 cm each just multiply 2 by 2 to get 4.
Add both numbers, 16 + 4 = 20 and you get your answer.
The total surface area would be 20cm^2.
Write the slope-intercept form of the equation of the line through the point (-1,-4) with the slope of 6.
Answer:
y-y1=m(x-x1)
y+4=6(x+1)
y=6x+2
Which ones are correct?
Answer:
Th answer is D
Step-by-step explanation:
