Answer:
The longest side of the cross-section is: [tex]2.4cm[/tex]
Step-by-step explanation:
Given
See attachment for pyramid
Required
The longest side of the cross-section
The base of the pyramid is a rectangle with the following dimension (in terms of length)
[tex]Long = 6cm[/tex]
[tex]Short = 3cm[/tex]
For the cross-section, we have:
[tex]Long = x[/tex]
[tex]Short =1.2cm[/tex]
Since both are parallel, then the following relationship exist between both
[tex]Ratio = Long : Short[/tex]
So, we have:
[tex]6cm : 3cm = x: 1.2cm[/tex]
Express as fraction
[tex]\frac{6cm }{ 3cm }= \frac{x}{1.2cm}[/tex]
[tex]2= \frac{x}{1.2cm}[/tex]
Make x the subject
[tex]x = 2 * 1.2cm[/tex]
[tex]x = 2.4cm[/tex]
determine whether the sequence is geometric. if so, find the common ratio. -3125, 625, -125, 25,....
Does the graph shown below represent y as a linear function of x?
Answer:
No, it does not.
Step-by-step explanation:
A linear function of x will form a straight (non-vertical) line on a graph.
This is caused directly by the equation
y = ax + b
For some constant a and b, which means that the rate of change is constant.
Please HELP I will make you brainlist !!! Need surface area
Answer:
22969.39 yd^2
Step-by-step explanation:
Alright to start, lets do the easier part of it, the sides of it. Since it is an octagonal prism, there are 8 rectangular sides to it. Each of these sides can be found with L*W, so use the given length of 15 and width of 6 to do this.
15 * 6 = 90
Since there's 8 of these:
90 * 8 = 720
Now, with the tricky part with the bases of the octagonal prism. Let's find the perimeter of the octagon, so use the top width of each of the rectangles.
6 * 8 = 48 = Perimeter
Now, here's the magic equation to avoid making this more complicated:
2(1+√2)p^2
Then plug in p
2(1+√2)48^2
(2+2√2) * 2304
(2+2.8284)*2304
4.8284*2304
11124.69...
But there's two bases so: 22249.39
Lastly, add this to the 720 from the rectangular prisms.
22249.39+720 = 22969.39
Hope that helps.
Solve.
-7 2/3+ (-5 1/2) +8 3/4= _
6 7/12
-4 2/3
-21 11/12
-4 5/12
A bird flying at an altitude of 50 feet spies a worm in the ground up ahead. How far must the bird travel to the worm if the angle of depression from the bird to the worm is 56°?
Answer:
33.7 ft
Step-by-step explanation:
We solve the above question using Trigonometric function of Tangent
tan θ = opposite/adjacent
θ = 56°
Opposite = 50 ft
Adjacent = x
Cross Multiply
tan 56 = 50 ft/x
Cross Mulitiply
tan 56 × x = 50ft
x = 50ft/tan 56
x = 33.725425842 ft
Approximately = 33.7 ft
The bird must travel 33.7 ft to meet the worm
Put the puzzle together by solving Last week, Alina walked 1.7 miles on Saturday and 2.56 miles on Sunday. How many miles did she walk last weekend?
Answer:
She walked 4.26 miles
Step-by-step explanation:
I just added both the miles given to get total miles walked on the weekend
10km 12km 13km 3km find the area
Answer:
Step-by-step explanation:
How do you do this?
Find M
Answer:
Step-by-step explanation:
Let angle ABZ be angle 1 and angle ZBC be angle 2.
Angle 1 = 85 degree
Angle 2 = 6x + 9
measure of angle ABC = 24x+4
Angle 2 = ABC - 85
6x + 9 = 24x + 4 - 85
6x - 24x = 4 - 85 - 9
-18x = -90
x = -90/-18 = 90/18 =
x = 5
Therefore the measure of angle 2 = 6*5 + 9 = 30+9 = 39 degree
Therefore the measure of angle ZBC = 39 degree
Hope you understand
Please mark as brainliest
Thank You
Quincy has saved $2500 so far to buy a new car in 4 years. He can put this amount into an account, that
earns 3.2% simple interest, or another with 3.5% compounded annually. Which method of earning
interest should he choose, simple or compound, and how much more interest will the account earn
using that method?
Answer:
he should chose compounded annually because he would have and extra 32.12 dollars at the end of the 4 years
Step-by-step explanation:
hope this helps
For which inequality is x = 7 a solution?
Answer:
letter C HOPE it helps.............
Answer:
B. 15 + x < 24
Step-by-step explanation:
12 + 7 = 19 which is > 16 not < so no
15 + 7 = 22 which is < 24 so yes
16 + 7 = 23 which is = 23 not < so no
17 + 7 = 24 which is < 26 not > so no
24 + 7 = 31 which is = 31 not > so no
Which choice is equivalent to the expression below?
Before rock climbing, Michelle wants to know how
high she will climb. She places a mirror on the
ground and walks backward until she can see the
top of the cliff in the mirror. She drew a sketch of
the situation. What is the height of the cliff?
Answer:
22 feets
Step-by-step explanation:
From the diagram attached :
We have two similar triangles which can be related proportionally :
Hence ;
Mitchell's height / distance from mirror = cliff height / cliff distance
Michelle's height = 5.5
Michell's distance from mirror = 4
Cliff height = h
Cliff distance from mirror = 16
We have ;
5.5 / 4 = h / 16
Cross multiply :
4 * h = 5.5 * 16
h = 88 / 4
h = 22 feets
Please help! I will give Brainliest!
Who is correct?
Point Q was rotated about the origin (0,0) by 180 (this is from khan academy)
Which number is equivalent to 6^2x6^3
Answer: 6^5
Step-by-step explanation:
given - 4x/7greater 10
Answer:
x > 17.5
Step-by-step explanation:
So we are given that; [tex]\frac{4x}{7} > 10[/tex]
=> First multiply 7 on each side of "="
4x = 70
=> Now divide 4 on each side
=> x > 17.5
Hope this helps!
(add. write your answer as a fraction, as a whole or as a mixed number)
PLEASE HELP . WILL GIVE BRAINLIEST !
Answer:
6.4
Step-by-step explanation:
have a good day,night
may i please have a branlliest
I’ll mark the first person to answer
Answer:
$3.00 per person $8.00 per vehicle
Step-by-step explanation:
2x3=6 6+8=14
4x3=12 12+8=20
8x3=24 24+8=32
Hope this helps
3.2 ft 2 fti2 ft 4 ft ft2 plz help
what's the question?
Answer:
Step-by-step explanation:
Using the graph, determine the coordinates of the y-intercept of the parabola.
Answer:
Y-intercept is 7
Step-by-step explanation:
Y-intercept is when the graph crosses the y-axis
What is the final selling price of a $150 phone with 230% markup and then 7% sales tax
Answer:
sorry i don't know
Answer:369.15
Step-by-step explanation:
I need help with math
Answer:
Its the second one
Step-by-step explanation:
tell me the answer for all these no links- I MEAN IT!
Answer:
1 - 3rd option (99.5)
2 - 5.
3 - 3rd option (56)
4 - 3rd option (113)
5 - 10 Im really not sure sorry ):
Step-by-step explanation:
You are playing a game using this spinner. You get one spin on each turn. Provide a probability model.
Answer:
THE ANNOYING ORANGE THE ANOYING ORANGE THE ANNOYING ORANGE THE ANNOYING ORANGE!!!!!!!
Step-by-step explanation:
Answer:
1:4 is the ratio
Step-by-step explanation:
2:8 simplified is 1:4
not sure if this is exactly the right answer but I hope it helps
What is the answer pls I will mark as brainless
Answer:
-10
Step-by-step explanation:
24+8-(7x6)
List at least 5 numbers greater than -1 but less than 2
Answer:
0, 1, 1.5, 1.8, 1.3
Step-by-step explanation:
Find the area for a triangle that has a base of 24 inches and a height of 4 inches.
28 in 2
48 in 2
cannot be determined
96 in 2
Answer:
48in²
Step-by-step explanation:
to find the area of a triangle you first divide the base by 2 then multiply it by the height
Toni rents bowling shoes for $6. She bowls 2 games and spends a total of $22. Write and solve an algebraic equation to find the cost of each game.
Answer:
22=2x+6
Step-by-step explanation:
you subtract 6 from both sides
that leaves u with 16=2x
then divide 2 by 16 and that equals
8
so 8=x
each game costs $8
you put the 2 in front of the x in the beginning due to Toni playing 2 games while the shoes are a one time fee.
FOLKS I NEED YO HELPPP
Enter the patriot equivalent to Tan (A)
And
Enter the ratio equivalent to cos (B)
Answer:
[tex](a)\ \tan A = \frac{5}{12}[/tex]
[tex](b)\ \cos B = \frac{5}{13}[/tex]
Step-by-step explanation:
Given
See attachment for triangles
Solving (a)
[tex]\tan(A)[/tex]
The tan of an angle is:
[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]
From the given triangle.
[tex]Opposite = 5[/tex]
[tex]Adjacent = 12[/tex]
So, we have:
[tex]\tan A = \frac{5}{12}[/tex]
Solving (b)
[tex]\cos(B)[/tex]
The cos of an angle is:
[tex]\cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]
From the given triangle.
[tex]Adjacent = 5[/tex]
[tex]Hypotenuse = 13[/tex]
So, we have:
[tex]\cos B = \frac{5}{13}[/tex]