Maria needs to reach a window that is eight feet above the ground. When she placed a ladder so that it reached the bottom of the window, the base of the ladder was 6 feet from the house. How long is the ladder?
Answer:
10 feet
Step-by-step explanation:
Given that the distance to be reached is 8 feet above ground and she she placed a ladder so that it reached the bottom of the window, the base of the ladder was 6 feet from the house, the length of the ladder considered with the other lengths forms a right angled triangle.
The length of the ladder represents the hypotenuse side hence using pythagoras theorem
F^2 = 8^2 + 6^2
where F is the length of the ladder in feet
F^2 = 64 + 36
= 100
find the root of both sides
F = 10 feet
The ladder is 10 feet long
Simplify (2.37x10^8)3
Answer:
( 2 . 3 7 1 0 8 ) 3
Step-by-step explanation:
Use the circuits shown to solve each of the following:
Answer:
1. R = 8 ohms 2. V = 32 volts
Step-by-step explanation:
1. We have,Voltage, V = 16 V
Current, I = 2 A
We need to find the resistance of the circuit. Using Ohm's law,
V = IR
So,
[tex]R=\dfrac{V}{I}\\\\R=\dfrac{16}{2}\\\\R=8\ \Omega[/tex]
2. Current, I = 8 A
Resistance, R = 4 ohms
We need to find the voltage of the circuit. Using Ohm's law again,
V = 8 × 4
V = 32 volts
Hence, this is the required solution.
At the grocery store, Henry bought c pounds of cashews for $4.99 per pound. If he buys 2 pounds, how much will they cost?
The cost of 2 pounds of cashews will be;
⇒ $9.98
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
At the grocery store,
Henry bought c pounds of cashews for $4.99 per pound.
Now,
Since, Henry bought c pounds of cashews for $4.99 per pound.
Hence, The cost of 1 pound of cashews = $4.99
So, The cost of 2 pounds of cashews = 2 × $4.99
= $9.98
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Find the missing side lengths. Leave your answers as radicals in simplest form. Show your work to support your answer.
Simplify the expression to a polynomial in standard form: (4x-1)(3x-2)(x+1)
Answer:
12x^3+x^2-9x+2
Step-by-step explanation:
(4x-1)(3x-2)(x+1)
(12x^2-8x-3x+2)(x+1)
(12x^2+(-8x-3x)+2)(x+1)
(12x^2-11x+2)(x+1)
12x^2(x+1)-11x(x+1)+2(x+1)
12x^3+12x^2-11x(x+1)+2(x+1)
12x^3+12x^2-(11x^2+11x)+2(x+1)
12x^3+12x^2-11x^2-11x+2x+2
12x^3+(12x^2-11x^2)+(-11x+2x)+2
12x^3+x^2-9x+2
Simplify.
[tex]\sqrt{289}[/tex] fast plss
Answer:
17 is the answer
Step-by-step explanation:
Since 17 × 17 is 289, the square root of 289 is 17.
so therefor, the answer is 17.
What are the vertices of triangle ABC'if triangle ABC is dilated by a scale factor of 3?
Answer:
where is the picture
Step-by-step explanation:
I need the triangle to be able to solve this for you
y cant people just put the answer y do they have to put all the things like just put a,b,c,d or ect...
what do you mean bruv?
N O R M A L people put the answer up top
A cube is dilated by a scale factor of 0.75 to create a new cube. The surface area of the new cube is…
Answer:
9/16 of original cube area
Step-by-step explanation:
surface area = 6 * side²
side length after 0.75 dilated: 3/4 of original side length
surface area after dilated : 6 * (3/4)² / 6 * 1² = 9/16
please help!! due soon, i’ll give brainliest
Answer:
4
Step-by-step explanation:
an aquarium is in the shape of a cuboid
the depth can be determined from the volume of a cuboid
volume = length x depth x height
11.96 = 2.5 x 1.1 x depth
depth = 11.96 / (2.5 x 1.1 )
depth = 4.3 feet = 4 (to the nearest whole number)
To round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
I have tree pizzas. The radius of one pizza is 4 inches. The radius of the second pizza is 8 inches. The radius of the last pizza is 12 inches. If the first pizza can feed 2 people, how many people can the other pizzas feed?
What is a relative frequency?
Answer:
"A relative frequency distribution is a table that shows the relative frequency for all categories as shown below. Notice that the sum of the relative frequencies is always equal to 1. The percentage of a category is found by multiplying the relative frequency of that category by 100."
Credits To: statistics-made-easy.com › what-is-relative-frequency
Mr. Nelson sold 14 bags of popcorn and 21 bottles of water in today. At this rate, how many more bottles of water than bags of popcorn will Mr. Nelson sell in 5 days?
Mr. Nelson would sell more bottles than bags of popcorn in 5 days
Answer:
Mr Nelson will sell 115 more bottles of water than popcorn. First, you find the rate of popcorn and water being sold. That will be 147 bags divided by 3 and 216 bottles divided by 3. You get 49 bags and 72 bottles. You subtract those two numbers, 72-49=23. 23 is the number more waters sold than the popcorn. Finally, you multiply 23 by 5 days and you get 115. So it's 115 more waters sold than popcorn.
Step-by-step explanation:
Answer:
21×5 = 105.
14×5=70.
105-70 =35
Find the surface area of the figure below
Answer:
Step-by-step explanation:
radius r=16/2=8 in
l=17 in
curved surface=πrl=π×8×17=136 π in²
area of circular base=πr²=π×8²=64 πin²
total surface area=136 π+64 π=200 π in²
Please help me with 2,3,4,5,6 show me the steps and the answers please
the formula is a^2+b^2=c^2
A and B are the sides doesn't matter which
C is always across from the right angle
so fill x in accordingly
4^2+3^2=x^2
16+9=
25= x^2
square root both 25 and x^2
25 becomes 5
x^2 becomes x
x=5
and just apply this to the other problems
help please!! find the area of each triangle. round intermediate values to the nearest tenth. use the rounded values to calculate the next value.
Area of a triangle = (1/2)*base*height
For both of the triangles, you have the base (8.8 for the triangle on the left, 7.6 for the triangle on the right) and the side lengths, but not the height. But since both are isosceles triangles, you can find the height using the pythagorean theorem.
5.
First divide the triangle vertically into two triangles (see attached picture). Now you have two right triangles, you can apply the pythagorean theorem on either one of them to find the height. The pythagorean theorem says that for a right triangle, [tex]a^2+b^2=c^2[/tex], where c is the hypotenuse and a and b are the sides of the triangle.
Substituting the given values and rounding to nearest tenth:
[tex]a^2+b^2=c^2\\4.4^2+h^2=10^2\\h=9.0[/tex]
Now that you have the height, you can find the area of the entire triangle.
A = (1/2)*base*height
A = (1/2)*8.8*9.0 = 39.6
6.
Same procedure.
[tex]a^2+b^2=c^2\\3.8^2+h^2=10^2\\h=9.2[/tex]
A = (1/2)*base*height
A = (1/2)*7.6*9.2 = 35.0
The walls of a farm silo form a hexagonal prism as shown. What is the volume of the silo?
The volume of the silo is ___
The volume of silo is 4840.22 cubic units.
What is hexagonal prism?
A hexagonal prism is a 3-D figure that has two hexagonal bases that are parallel to each other. A hexagonal prism is a prism with hexagonal base and top. This polyhedron has 8 faces, 18 edges, and 12 vertices. Out of the 8 faces, 6 are rectangles, and 2 are hexagons.
For the given situation,
The silo is in a form a hexagonal prism.
The base edge of the silo, a = 9 ft
The height of the silo, h = 23 ft
The formula of volume of the hexagonal prism is
[tex]V=\frac{3\sqrt{3} }{2}a^{2}h[/tex]
Substitute the above values,
⇒ [tex]V=\frac{3\sqrt{3} }{2}(9^{2})(23)[/tex]
⇒ [tex]V=4840.215[/tex] ≈ [tex]4840.22[/tex]
Hence we can conclude that the volume of silo is 4840.22 cubic units.
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Solve for x and show work.
Answer:
x = -5
Step-by-step explanation:
Angles "50" and "x+55" are alternate interior angles which means that they are the same.
So 50 = x + 55
That leaves you with x = -5
What is the solution to the inequality 7x + 2 < 3x + 1?
Answer choices:
X > -1/10
X < -1/10
X > 3/4
X < 3/4
Answer:
none of the answer above
the answer is X < -1/4
Step-by-step explanation:
7x-3x<1-2
4x<-1
x<-1/4
What is 5-(-7) I neeed to know
Answer:
5-(-7)
Step-by-step explanation:
It will be positive 12
Answer:
12
Step-by-step explanation:
5 - (-7)
5 + 7
12
Who do u make 345 cm to *what* m?
Answer:
3.45 m
Step-by-step explanation:
as we know that
1cm=100m
Divide by 100
345/100=3.45 m
PLEASE HELPP!!I need to pass this please!!im confused
Answer:
b
Step-by-step explanation:
AB intersects CD at point E. What is the value of X in degrees?
Answer:
x = 132°
Step-by-step explanation:
∠AED and ∠CEB are both vertical angles. Vertical angles will always be equal to each other, so ∠AED = ∠CEB.
Since they're equal, if ∠AED = 132°, then ∠CEB must also equal 132°.
(∠CEB is the x value you're asking about by the way).
If you have any questions, or anything was confusing, comment them and I'll help you out.
Help I don't get this
Answer:
i think its 2,4, and 5
Step-by-step explanation:
Find the volume of this regular hexagonal pyramid
Answer:
83 is the volume according to my best knowledge and remembrance of Geometry. I hope these calculations help!
Step-by-step explanation:
Since a right triangle is established upon the indication of the right angle marking, and the 50 degree marking is apparent around the one of the legs, the resulting angle of the right triangle unidentified is 40 degrees. Now, the formula is 1/3 × (the area of the base) × (the height), where finding the base area dictates that we apply Area = (3√3 s^2)/ 2, where s = side length, (3√3 (4)^2)/ 2 = 24√3, Substitution Property of Equality: 1/3 * 24√3 * x; find x, "the radius of a hexagon is equal to the length of one side" (mathblog), use the cosine ratio because cosine = adjacent over hypotenuse, cos(50) = 4 (according to the length of side equal radius of hexagon)/x = 6, 1/3 * 24√3 * 6 = 48√3 = 83 is the volume.
2. Which value is the same for both box plots? Full Lunch1 À la Carte 80 100 120 140 160 180 200 220 240 260 280 300
Answer: 100
Step-by-step explanation:
Marc makes 6 1/4 pounds of granola. He wants to freeze 3/4 of the granola. Which expressions can be used to find the number of pounds he wants to freeze?
Answer:
6 1/4 x 3/4
25/4 x 3/4
Step-by-step explanation:
Marc freezes only a proportion of the pounds of granola, the expression for this proportion can be determined by multiplying the total pounds of granola by the fraction he wants to freeze
6 1/4 x 3/4
25/4 x 3/4
Can someone do my math homework for me? i will give you the information you need. My head hurts constantly and i get too distracted easily. i am one almost 2 weeks behind on all my classes work. Math is the hardest and so thats why im asking. please it would be very helpful.
Answer:
I'll do your Home work Just post the questions
Answer:
I will help you too if I know the answer
Step-by-step explanation:
Help me for a kith , I'll also mark brainliest, l.ao
Answer:
its 126
Step-by-step explanation:
Answer:
Step-by-step explanation:
add all amount of birds he saw together to get 140, take 300 and divide it by 140 to get 2.14 now take the amount of blue jays times 2.14 to get 126