Given:
The given volume formulas to calculate the volume of a rectangular
pyramid.
To find:
The correct volume formula.
Solution:
The volume of a rectangular pyramid is:
[tex]V=\dfrac{1}{3}Bh[/tex]
Where, B is the base area of the rectangular pyramid and h is the vertical height of the rectangular pyramid.
Therefore, the correct volume of a rectangular pyramid is [tex]V=\dfrac{1}{3}Bh[/tex].
Note: In the given problem, the options are not in correct form.
what is the percent of increase from 600,000 to 900,000?
Answer: 50%
Step-by-step explanation:
9. Joanna is considering two job offers. Phoenix Fashions offers
$1500/month plus 2.5% commission. Styles by Rebecca offers
$1250/month plus 5.5% commission.
a) Create a linear system by writing an equation for each salary.
b) What value of sales would result in the same total salary
for both jobs?
c) Which job should Joanna take? Explain your answer.
Answer:
A] 1500 + 0.025x , 1250 + 0.055x ; B] Sales value = 8333
C] Offer 1, if prefers more fix salary over additional incentive. And, offer 2 if prefers additional incentive over fix salary.
Step-by-step explanation:
Let the sales be = x
A] Offer 1 = 1500 + 2.5% comm on sales = 1500 + 2.5%x = 1500 + 0.025x
Offer 2 = 1250 + 5.5% comm on sales = 1250 + 5.5%x = 1250 + 0.055x
B] Value of sales, resulting in total salary : at equation 1 = equation 2
1500 + 0.025x = 1250 + 0.055x
1500 - 1250 = 0.055x - 0.025x → 250 = 0.03x
x = 250 / 0.03 → x (Sales value) = 8333
C] Which job she should take, would depend on her preferences.
If she wants more fixed salary, & less above per unit achievement, she should take offer 1 as fixed salary 1500 > 1250. If she wants less fixed salary & more additional incentives, she should take offer 2, as commission 5.5% > 2.5%
Find the area. THIS IS REALLY IMPORTANT. NEED ASAP!!
Answer:
1246cm
Step-by-step explanation:
26*10=260
29*34=986
986+260=1246
i rlly need help on this question and you won’t help
Answer:
lol wheres the question
Step-by-step explanation:
Simplify: xy(x+5y)(x+2y)
Answer:
x3y+7x2y2+10xy3
Step-by-step explanation:
х
110°
70°
у
x = [? ]
Answer:
I believe it's 180 or 90
180?
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
Angle 4 is ∠A
Step-by-step explanation:
Cos(A) = adjacent / hypotenuse
=> Angle 1: Cos(1) = 40 / 41, or 0.98 (so this is not ∠A)
=> Angle 2: Cos(2) = 9 / 41 or 0.22 (This isn't ∠A either)
=> Angel 3: Cos(3) = 24 / 25 or 0.96 (Not ∠A)
=> Angel 4: Cos(4) = 7 / 25 or 0.28 (This is Angle A, since Cos(A) = 0.28)
Therefore; Angle 4 is ∠A
Hope this helps!
Answer:
Can't type the Full solution
I'll solve for the triangle with angles 1 and 2
You can go for the rest.
CosA = 0.28
Taking the cos-¹(0.28) to determine its Magnitude
A=73.74°
Now
We can use sine Rule to get the values of each of the other angles in the triangle
For the first triangle
Applying sine rule
What basically happens in the rule is... Each side divided by the angle opposite it.
Look below
The angle opposite 40cm is angle '2' and the angle opposite 41cm is 90°
We have this sine rule when all three sides are given with ONE ANGLE(90° is the given angle in this case)
So
Each side over the angle opposite it
We go!!
Let's call angle "2" an alphabet. Say Q
41/sin90 = 40/SinQ
SinQ = 40sin90/41
Recall sin90=1
SinQ = 40/41
Q= Sin-¹(40/41)
Q= 77.32°
so angle 2 is 77.32°
Now apply this to get others
Angle '1' should be 12.68°
Angle "3" should be 16.26°
Angle "4" should be 73.74°
Therefore
conclusion
Angle "4" is same as A. That's the angle we looking for
Option 4 IS CORRECT!!
Help me please!!!!!!!!!!!!!!
Can someone talk to me please?
Answer:
hi
Step-by-step explanation:
Answer:
sure why not .
Hi!:D
Step-by-step explanation:
can I have brainiest
Show by a rough sketch that there are four points which are at a distance of 2cm from the
given line AB and 3cm from the point A.
Answer:
.........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
Step-by-step explanation:
4x-3=2x+7 please help shdjdjsjsjsndjxj
Answer:
x=5
Step-by-step explanation:
Step 1: Subtract 2x from both sides.
4x−3−2x=2x+7−2x
2x−3=7
Step 2: Add 3 to both sides.
2x−3+3=7+3
2x=10
Step 3: Divide both sides by 2.
x=5
And theres our answer.
Hope this helped! :)
Answer:
x=5
Step-by-step explanation:
4x-3=2x+7
4x-2x= 7 +3
2x=10
2x/2=10/2
x=5
simplify 3/36 will choose brainliest
Answer:
3/36 simplified is 1/12
Hope this helps!
a tree cast a 25 foot shadow on a sunny day, if the angle of elevation from the tip of the shadow to the top of the top of the tree is 32 degrees, what is the heights of the tree to the nearest tenth of a foot?
Answer:
Tree height is 15.6 ft
Step-by-step explanation:
Picture a triangle with horizontal side 25 ft and angle 32 degrees on the left. Then the following is true:
x
tan 32 = 0.625 = --------------------- or x = (0.625)(25 ft) = 15.6 ft
25 ft
Doris bought 15 yards of fabric for
$7. How much do 6 yards of the same
fabric cost?
There are 95 candies in the dish.19 of the candies are chocolate. What percent of the candies are left
Answer:
80%
Step-by-step explanation:
20% of the candies are chocolate, leaving the rest of the 80%
All three please 10 points
Answer:
A) x = 3 or -1
B) x = -7
C)x = -7
Step-by-step explanation:
A) x² + 2x + 1 = 2x² - 2
Rearranging, we have;
2x² - x² - 2x - 2 - 1 = 0
x² - 2x - 3 = 0
Using quadratic formula, we have;
x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)
x = (2 ± √16)/2
x = (2 + 4)/2 or (2 - 4)/2
x = 6/2 or -2/2
x = 3 or -1
B) ((x + 2)/3) - 2/15 = (x - 2)/5
Multiply through by 15 to get;
5(x + 2) - 2 = 3(x - 2)
5x + 10 - 2 = 3x - 6
5x - 3x = -6 - 10 + 2
2x = -14
x = -14/2
x = -7
C) log(2x + 3) = 2log x
From log derivations, 2 log x is same as log x²
Thus;
log(2x + 3) = logx²
Log will cancel out to give;
2x + 3 = x²
x² - 2x - 3 = 0
Using quadratic formula, we have;
x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)
x = (2 ± √16)/2
x = (2 + 4)/2 or (2 - 4)/2
x = 6/2 or -2/2
x = 3 or -1
PLEASE HELP WILL MARK BRAINLIEST
Answer:
[tex]1) B[/tex]
[tex]2)\ B[/tex]
[tex]3)\ B[/tex]
[tex]4)\ C[/tex]
Step-by-step explanation:
1)
Let's use the Pythagorean Theorem:
[tex]X^2 + 13^2 = 21^2[/tex]
[tex]X^2 + 169 = 441[/tex]
[tex]X^2 = 272[/tex]
[tex]X= \sqrt{272} = 4\sqrt{17} = 16.5[/tex]
2)
Let's use the Pythagorean Theorem:
[tex]16^2 + 28^2 = x^2[/tex]
[tex]x^2 = 1040[/tex]
[tex]x = \sqrt{1040} = 4\sqrt{65} = 32.2[/tex]
3)
Let's use the Pythagorean Theorem:
[tex]7^2 + 24^2 = 25^2[/tex]
As this equation is correct, these three lengths could be used in a right triangle.
4)
Let's use the Pythagorean Theorem:
[tex]7^2 + 24^2 = 25^2[/tex]
As this equation is correct, these three lengths could be used in a right triangle.
Simplifique a expressão: 5 √2^3
Answer:
10√2
Step-by-step explanation:
5√2³ = 5√8 = 5√(2 x 4) = (2 x 5)√2 = 10√2
Simplify:
- 5 1/4 -( -7 1/2)
Answer:
-5 1/4-(-7 1/2 is simplified to 9/4
Step-by-step explanation:
-5 1/4 is simplified to -21/4 -(-7 1/2
-7 1/2 is simplified to -15/2 and two negatives make a positive.
so the equation now becomes
-21/4+15/2
15/2 times 2 is 30/4
-21/4+30/4 is 9/4
The answer is 9/4
What's the slope of this line? Someone plz answer plz.
Answer:
0.5
Step-by-step explanation:
Answer:
[tex] \frac{1}{2}x + 5[/tex]
Kaia's mom is having triplets. Each baby could be either male or female
Which outcome would be included in the compound event more than one
male"?
First Second Third
baby baby baby
M
Sample space
outcomes
MMM
F
MMF
MEM
A. MFM
B. FFM
C. MFF
D. FMF
Answer:
MMM
Step-by-step explanation:
Given
See attachment for elements of the sample space (in a probability tree)
Required
Which of MMM, FFM, MFF, FMF represents more than one male?
From the question, we understand that:
[tex]M \to Male[/tex]
[tex]F \to Female[/tex]
So, for an event to represent more than 1 male, there must be an occurrence of at least 2 M (i.e 2 M or 3 M)
From the given options, only MMM has more than 1 M.
Hence, MMM represents more than one Male
due soon!!!
find the value of x
Answer:
30 degrees
Step-by-step explanation:
see the opposite side. it is the same thing but upside-down.
(remember straight line is 180 degrees)
Write the equation for the line through the following cities. 16.Ankara and Tbilisi ______________________________________ 17.London and Warsaw ______________________________________ 18.Amsterdam and Minsk ______________________________________ 19.Oslo and Rome ______________________________________ 20.Bern and Riga ______________________________________ 21.Tallinn and Vilnius ______________________________________ 22.Madrid and Sofia __________
Answer:
See explanation
Step-by-step explanation:
The question is incomplete, as the graph or points of each city are not given.
So, I will provide a general explanation.
To calculate the equation of line through two points;
Start by writing out the coordinates of the two points.
For instance:
[tex]London = (4,6)[/tex]
[tex]Warsaw = (20,10)[/tex]
This points will be represented as:
[tex](x_1,y_1) = (4,6)[/tex]
[tex](x_2,y_2) = (20,10)[/tex]
Calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
[tex]m = \frac{10 - 6}{20 - 4}[/tex]
[tex]m = \frac{4}{16}[/tex]
Simplify
[tex]m = \frac{1}{4}[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = \frac{1}{4}(x - 4) + 6[/tex]
Open bracket
[tex]y = \frac{1}{4}x - 1 + 6[/tex]
[tex]y = \frac{1}{4}x +5[/tex]
Apply the above steps in the original question
Graph to solve the system:
y= 2x- 1 and y = -x + 5
At what x-value are the equations equal?
Answer:
Step-by-step explanation:
Question 3
A bucket contains 4 red marbles, 10 blue marbles, 7 yellow marbles, and 5 green marbles.
What is the probability that you will get a blue, then a yellow with replacement?
a: 17/52
b: 10.796
c: 35/388
d: 10/26
Find the area of this circle. Use 3 for .
A = tar2
4 cm
[?] cm2
Answer:
48 is the area
Step-by-step explanation:
A=4squared=16x3=48
Pi is 3.14 but in the question it states just a 3.
please help me
i’m stuck
Answer:
14 mins
Safest answer and may be correct
Find x for this problem
11
11
10
Step-by-step explanation:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
Neva is training for a race. This week, she bikes 5.5 times as far as she runs. Her total distance running and biking this week is 26 mi. How far does Neva run this week?
Answer:
Run = 4 miles
Biked = 22 miles
Step-by-step explanation:
Given :
Let :
Number of miles ran = x
Number of miles biked = 5.5x
Total run and bike distance = 26 miles
Thus ;
x + 5.5x = 26
6.5x = 26
x = 26/6.5
x = 4
Total miles run ; x = 4 miles
Total miles biked, 5.5x = 5.5*4 = 22 miles
Given y varies inversely as x, and y = 5 when x = 9. Write the inverse function
Answer:
y = 45/x
Step-by-step explanation:
Given y varies inversely as x, then;
y = k/x
If y = 5 when x = 9
5 = k/9
k = 5*9
k = 45
Substitute into the formula above;
y = k/x
y = 45/x
Hence the required inverse function is y = 45/x
What is the domain of the square root function graphed below?
Answer:
x ≥ 3
Step-by-step explanation:
The domain is the set of x values in a function
The ordered pair ( 3 , 1 ) represents the point where the function starts
( note that the point is "closed" which means that ( 3 , 1 ) represents a solution to the function ) ( which also means that we will be using ≤ or ≥ )
The x value of that ordered pair is 3 which means that the domain must include 3.
The line then goes to the right of the x value 3, infinitely which means that the domain is anything greater than or equal to 3
or x ≥ 3