Answer:
5229 mm³
Step-by-step explanation:
Volume of square pyramid
[tex]\sf \boxed{Volume \ of \ the \ square \ pyramid = \dfrac{1}{3}*b^2*H}[/tex]
b = base length = 25 mm
H = height
We have to find 'H' using Pythagorean theorem,
slant height (hypotenuse) = 28 mm
leg₁ = base length ÷ 2 = 25÷2 = 12.5
leg₂ = H
H² + (12.5)² = 28²
H² = 784 - 156.25
= 627.75
[tex]\sf H = \sqrt{627.75}[/tex]
H = 25.01 mm
[tex]\sf \text{Volume of square pyramid =$\dfrac{1}{3}*25*25*25.1$ }[/tex]
= 5229 mm³
[tex]\sf \boxed{\text{Volume of square pyramid = \dfrac{1}{3}*25*25*28}}[/tex]
Sarah visited a tree nursery. She measured and recorded the heights of some young trees. This line plot shows her results. How much taller is one of the tallest trees than one of the shortest trees? Enter your answer as a mixed number in simplest form by filling in the boxes. $$ ft
19) Find the ratio between number faces and number of edges in the below rectangular prism.
Answer:
1 : 2
Step-by-step explanation:
Rectangular prism
Faces = 6
Up and bottom ; right and left ; front and back . So total 6 faces.
Edges: Two faces meet at an edge.
Edges = 12
Face :Edges = 6 : 12
= 6÷6 : 12÷6
= 1 : 2
Find the measure of angle s?
a. 90°
b. 45°
c. 30°
d. 15°
The length of an animal is 24.5 inches that is normally distributed. The standard deviation is 1.3 inches. What would be the sections that are one and two standard deviations from the mean? Select all that apply
A) 21.9
B) 22.5
C) 23.2
D) 23.5
E) 25.5
F) 25.8
G) 27.1
Is the realationship below proportional or Non
Answer:
Yeah, it's proportional!
Step-by-step explanation:
It has a constant ratio.
Answer:
yes, the cost is 8 times the number of tickets
Step-by-step explanation:
a. (0,2) (-4,2) (0,0)
b. (2,0) (2,-4) (0,0)
c. (0,2) (-4,2) (0,0)
d. (0,2) (4,2) (0,0)
Answer:
A. (0,2) (4,2) (0,0)
b. (-2,0) (-2,-4) (0,0)
c. (0,2) (4,2) (0,0)
d. (0,2) (-4,2) (0,0)
These pointed are reflected into y-axis.
The drawing will take time to be drawn, that's why i only have written the points.
I hope my answer helps you.
please help me...asap
Answer:
The last option
Step-by-step explanation:
There are 42 species in the sample
the proportions are:
frogs = 18/42 = 3/7
lizards = 18/42 = 3/7
worms = 6/42 = 1/7
The number of frogs and lizards is the same and exceeds that of worms
The only option that meets these proportions is the last
Hope this helps
Yesterday, a movie theater sold 290 bags of
popcorn. A large bag of popcorn costs $4. A
small bag of popcorn costs $1. In all, the movie
theater made $617 from popcorn sales. Write
and solve a system of equations to find how
many bags of each size of popcorn were sold.
Use L for large bags and S for small bags. Type
your answer as an ordered pair (L,S) *
Answer:
Answer: 4x+y=567, x+y=279, where x=96 and y=183.
Step-by-step explanation:
write an expression for jack makes 60% of the free throws he shoots. If he shot 5 free throws in his first game, 8 free throws in his second game, and 2 free throws in his third game, how many free throws would you expect that he made?
A circle with equation
x^2 + y^2 = 10 is graphed in the standard (X,y)
coordinate plane. At which two points does the circle intersect the x- axis.
O a
(o, /T0) (o,-V10)
O b
(-/10,o) (VT0,0)
O c
(-100, 0) (100, 0)
O d
(-10, 0)(10, 0)
O e
(0, 10)(0, -10)
Answer:
(-3.162, 0) and (3.162, 0)
Step-by-step explanation:
Let me know if you need an explanation
Find the length of the segment.
please help
Answer:
[tex]\sqrt{29}[/tex]
Step-by-step explanation:
Use the distance formula!
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
If we plug in the coordinates:
[tex]d=\sqrt{(3-(-2))^2+(4-2)^2} \\d=\sqrt{25+4}\\ d=\sqrt{29}[/tex]
That's our answer!
Answer: 3
Step-by-step explanation: since the negative numbers on the coordinate do not count as a whole number, we will start our count at number 1
Mia buys 404.6 square feet of new wood
flooring. How much did she pay for the wood if it cost $0.99 Per square foot?
Answer:
$400.55 (to the nearest cent)
Step-by-step explanation:
she paid
= 404.6 x 0.99
= 400.554
= $400.55 (to the nearest cent)
hope this helps!
Answer:
$ 400.554
Step-by-step explanation:
Let the unknown price be x.
1 ft² ⇒ $ 0.99
404.6 ft² ⇒ x
Let us use cross multiplication to find the value of x.
0.99 × 404.6 = 1 × x
400.554 = x
Therfore, she'll pay $ 400.554 for 404.6 ft²
HELP NOW I NEED IT AND IS DUE TODAY
Who made an error?
The correct scale factor= ?
Answer:
reggie made an error
the correct scale factor is 2/3
Step-by-step explanation:
we want to get from A to A', B to B', and ultimately C to C'
to get there, we must multiply each value in each point by the scale factor.
let's start out with reggie's scale factor. he multiplies each value in C by 3/2 to get to C'. we can try this out with one point, e.g. A
for A: 3/2 * (-12, -6) = (-18, -9). this is not A' = (-8, -4)! thus, 3/2 cannot be the scale factor
now, onto hillary's scale factor of 2/3
for A: 2/3 * (-12, -6) = (-8, -4). this is A'! thus, hillary is correct and reggie made an error
the correct scale factor is thus hillary's: 2/3
A graph is shown. Which of the following equations are represented by the graph?
Answer:
Equations II and IV
Step-by-step explanation:
See attached image.
Find the equation of the line in the form of y=mx+b, where m is the slope and b the y-intercept. Pick any two points to calculate the Rise/Run, or slope, of the line, as shown. The y-intercept, b, is the value of y when x=0. Rearrange the resulting equation, as necessary, to see if it matches any of the options. In option IV, I rearranged the answer, as it was easier to get it into the desired form of y=mx+b.
As shown, equations II and IV both match.
Ms. Gallegos burns 236 calories while riding her bike each hour. She wants to burn more than 590 calories riding her bike at the same rate.
Which inequality represents all possible values for t, the number of hours Ms. Gallegos must ride her bike to burn more than 590 calories?
Answer:
T > 2.5
Explaination -
t > 2.5
t < 2.5
t > 0.4
t < 0.4
Here it is given that Gallegos burns 236 calories riding her bike each hour.
She wants to burn more than 590 calories riding her bike at the same rate.
Let the time required = t hours
So
236t > 590
⇒ t > 590/236
⇒ t > 2.5
Therefore, the answer is t > 2.5
Annual compounding pays more money than dally compounding.
True
False
Answer:
annual = yearly
daily = everyday
so it's false
Step-by-step explanation:
daily compounding will pay more than yearly compounding because it happens daily.
it about it this way, some giving you interest daily versus yearly.
I hope these answer at least helps you
Good luck
What type of number is 2
Choose all answers that apply:
A
Whole number
B
Integer
Rational
D
Irrational
Answers A and B describe number 2
Answer:
A and B
Step-by-step explanation:
2 is a whole number (is not a fraction or decimal) and an integer is a positive or negative whole number, and irrational numbers never end or repeat.
Find the equation of the line shown
Answer:
y = 2x
PRIMARY METHOD
Identify two points, find their slope, and write an equation
(1, 2) and (3, 6)
m = (y₂ - y₁)/(x₂ - x₁)
m = (6 - 2)/(3 - 1) = 4/2
m = 2
(1, 2)
y - y₁ = m (x - x₁)
y - 2 = 2 (x - 1)
y = 2x - 2 + 2
y = 2x
SIMPLER METHOD
Rise/Run
(0,0) to (1, 2) = 2/1 = 2
(1, 2) to (3, 6) = 4/2 = 2
Answer:
y = 2x
Step-by-step explanation:
The graph shows a straight line that passes trhough the origin, so it is a direct proportion relation with equation of the form y = mx.
To find the slope, use any easy-to-read point, and divide the y-coordinate by the x-coordinate. For example, use (1, 2).
m = 2/1 = 2
y = 2x
A competitor’s lot has Nissans and fords. The number of Nissans is 4/5 of the number of fords
a. What is the ratio of Nissans to fords
b. What is the ratio of fords to all cars
c. If there were 450 cars in all, how many are fords?
Please do NOT answer with links!
Answer: a: Nissan: Ford is 4:5
Ford to all cars 5:9
In 450.cars Ford will be 250
Step-by-step explanation:
c. 5/9 × 450/1
need help asapppp !!!!
Answer:
Both
Claire
Andre
Neither
Step-by-step explanation:
We have to determine whether each point lies on Claire's line (blue) and whether it lies on Andre's line (black).
Point A is the intersection of both lines, hence the statement represents them both.
Point B only lies on Claire's line.
Point C is the start of Andre's line.
Point D is outside of both lines.
Ok for this one im really stuck and i need help.just want to make sure i understand this one.
Answer:
70 - 5√10 ft²
Explanation:
Perimeter is the distance around a two-dimensional shape.
area of rectangle: length x width
Here given:
length: (3√2 + 4√5) ft
width: (-5√2 + 5√5) ft
Solve for perimeter:
length x width
(3√2 + 4√5) x (-5√2 + 5√5)
apply distributive method
(3√2)(-5√2) + (3√2)(5√5) + (4√5)(-5√2) + (4√5)(5√5)
multiply
-15(2) + 15√10 -20√10 + 20(5)
combine
-30 -5√10 + 100
simplify
70 - 5√10
Solve this system of equations
X=y+2
2y-3x=15
Answer:
x=-19, y=-21
Step-by-step explanation:
[tex]\begin{bmatrix}x=y+2\\ 2y-3x=15\end{bmatrix}[/tex]
[tex]\mathrm{Substitute\:}x=y+2[/tex]
[tex]\begin{bmatrix}2y-3\left(y+2\right)=15\end{bmatrix}[/tex]
Simplify
[tex]\begin{bmatrix}-y-6=15\end{bmatrix}[/tex]
Isolate y for -y - 6 = 15: y = -21
[tex]\mathrm{For\:}x=y+2[/tex]
[tex]\mathrm{Substitute\:}y=-21[/tex]
[tex]x=-21+2[/tex]
Simplify
x=-19
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=-19,\:y=-21[/tex]
y=-21,x=-19
you can only solve this using simultaneouse solution. first, make x the subject in the second equation.2y-3x=15
In doing so x=-5+2/3y. You the multiply both equationby the co-efficient of x then you subtract the equations giving 1/3y=-7. hence y=-21.you then substitute the value for y into equation 1 where x=y+2 giving x=-19.
Min rides his bike 2 3/8 miles on Wednesday and 3 1/8 miles on Thursday. Jessica rides her bike 1 5/8 miles on Wednesday and 2 2/8 miles on Thursday. How many more miles does Min ride his bike than Jessica? Please help asap!
Answer:
1 5/8 miles
Step-by-step explanation:
Min:
2+3=5, 3/8+1/8=4/8
5 4/8 miles
Jessica:
1+2=3, 5/8+2/8=7/8
3 7/8 miles
5 4/8- 3 7/8= 1 5/8 miles
-25 × 8 = solution step by step pls
Answer:
- 200
Step-by-step explanation:
=> -25 × 8 { - × + = - }
=> - 200
Lindy works at a pizza restaurant and gets a 10% employee discount. She knows that if she orders d drinks and a medium pizza with t toppings, her total cost can be found using this expression:
0.90(2.25d + 1.40t + 6).
What is the total cost for Lindy and her friends to order 4 drinks and a medium pizza with 3 toppings?
A.
$15.69
B.
$28.40
C.
$17.28
D.
$16.52
Answer:
Option A. $17.28
Step-by-step explanation:
we have the expression for the cost
In this problem we havesubstitute the given values in the expression to obtain the cost
Kane has 623 dimes in his wallet. He has 7 times as many nickels as dimes. How many nickels are in Kane's wallet
Answer:
Kane has 4361 nickels.
Step-by-step explanation:
623 multiplied by 7 equals 4361
In an ordered pair, the y-coordinate tells you how far to move from the origin parallel to the______. X-axis/y-axis
Answer:
y-axis
Step-by-step explanation:
The x-coordinate is the location of a point as measured along the x-axis. The y-coordinate is the location of a point as measured along the y-axis.
__
Another way to describe the y-coordinate is that it tells you how far to move from the origin parallel to the y-axis.
Find the product of this expression.
(2a - 3b)(4a 2 + 6ab + 9b 2 ) =
8a+27b^3 i belive is the solution
Answer:
8a³-27b³
Step-by-step explanation:
use the box method to multiply
combine the like terms
The box below needs to be painted.
How many square inches need to be painted to cover the entire surface of the box?
Answer:
1080in³
Step-by-step explanation:
the formula for a rectangular prism is length×width×height
So 15x12=180
next 180x6=1080
So the amount of juice you can put in is 1080in³