A pyramid is 24ft tall. A scall model has a height of 2 ft and is 1 foot wide at the base. Identify the scale factor that was used to create the model
Answer:
1 : 12
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
24/2 = 12
1 : 12
ABDE is a rectangle ED is 8cm BDC is a right-angled triangle bc is 4.5cm ABC is a straight line the area of the rectangle abde is 40cm^2 work out the area of the triangle BDC
also I need working out sooooooo
Answer:
11.25cm^2
Step-by-step explanation:
given the area of the rectangle as 40cm^2, we can get the width of the rectangle.
Area =Length x width
40cm^2 = 8cm x width
we can divide both sides 8 to be left with the width
40/8 = 5cm
so the width is 5cm which is equal to the height of the triangle.
Area of BDC = 1/2 x base x height
BDC = 1/2 x 4.5 x 5
=11.25cm^2
1.)A loan of 12,000 was borrowed from a bank at 14% per annum. calculate (i) the intrest loan at the end of the first year.
(ii)the total amount owing at the end of the first year
Answer:
(i) interest = $1680
(ii) total amount = 13680
Step-by-step explanation:
Interest.
12000 × 14/100
=168000/100
=1680
Total amount.
Interest + Loan
1680 + 12000
=13680
hi please answer me asap I will mark brainlist please please I don't have
10.) x-23=-3x+5
x+3=5+23
4x=28
x=711.) C. 2ab12.) -4ab+5-(-2ab + 3)
-4ab+5+2ab-3
-2ab+213.) (-3)+(-5)
-3 -5
-814.) 8.4Add.
3 7/11 + 9 6/11
Write your answer as a mixed number in simplest form.
Help
Answer:
13 2/11
Step-by-step explanation:
40/11+105/11
145/11
13 2/11
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{= \ 3\dfrac{7}{11}+ 9\dfrac{6}{11}}[/tex]
[tex]\mathsf{ 3\dfrac{7}{11} =\boxed{ \bf \dfrac{40}{11}}}[/tex]
[tex]\mathsf{9\dfrac{6}{11}= \boxed{\bf \dfrac{105}{11}}}[/tex]
[tex]\mathsf{= \ \dfrac{(40\times11)+(105\times11)}{(11\times11)}}[/tex]
[tex]\mathsf{40\times11=\boxed{\bf 440}}[/tex]
[tex]\mathsf{105\times11=\boxed{\bf 1,155}}[/tex]
[tex]\mathsf{=\ \dfrac{440+ 1,155}{11\times11} }[/tex]
[tex]\mathsf{11\times11=\boxed{\bf 121}}[/tex]
[tex]\mathsf{\dfrac{440+1,155}{121}}[/tex]
[tex]\mathsf{440 + 1,155=\boxed{\bf 1,595}}\leftarrow\mathsf{Your\ numerator\ (TOP\ number)}[/tex]
[tex]\mathsf{= \dfrac{1,595}{121}}[/tex]
[tex]\mathsf{= 13\dfrac{2}{11}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: } \mathsf{\boxed{\bf \dfrac{1,595}{121}\ or\ 13 \dfrac{2}{11}}\\\large\textsf{either one of those should work they equal the same}}}}\huge\checkmark}[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
[tex]\frak{Amphitrite1040:)}[/tex]
7.) There are about 9,987,000 people that live in Michigan. How do you write
9,987,000 in scientific notations?
a.) 99.87 x 105
b.)9.987 X 105
c.) 9.987 x 107
d.) 9.987 X 106
can someone help me with this please ?
Answer:
Step-by-step explanation:
∠EMC = ∠EMD + ∠DMC
∠EMC = 90
∠EMD + ∠DMC = 90
∠EMD + 20 =90
∠EMD = 90 - 20
∠EMD = 70
∠FMD + ∠DMB = 180 {Linear pair}
90 + ∠DMB = 180
∠DMB = 180 - 90
∠DMB = 90
Kevin bought dvds of different movies he spent $5 for each movie the equation y=5 shows how much he spent for the movies
Answer:
The dependent variable is y (the amount paid)
Step-by-step explanation:
Given
[tex]y = 5x[/tex]
Where
[tex]x \to[/tex] number of movies
[tex]y \to[/tex] amount paid
Required
The dependent variable
From the question, we have:
[tex]y = 5x[/tex]
This means that the value of y is determined by the value of x.
Take for instance:
[tex]x = 2[/tex]
The value of y will be:
[tex]y =5*2 = 10[/tex]
If x changes (say; x = 12), y will also change
[tex]y =5*12 = 60[/tex]
Hence, y is the dependent variable
Prove that the following four points will form a rectangle when connected in order
by showing the diagonals are congruent. Show all work.
A(0, -3), B(-4, 0), C(2,8), D(6.5)
Answer:
Step-by-step explanation:
If the diagonals of the rectangle are congruent,
AC = BD
By using formula to calculate the distance between two points,
Distance between two points = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Distance between A(0, -3) and C(2, 8),
AC = [tex]\sqrt{(8+3)^2+(2-0)^2}[/tex]
= [tex]\sqrt{125}[/tex]
= [tex]5\sqrt{5}[/tex]
Similarly, distance between two points B(-4, 0) and D(6, 5),
BD = [tex]\sqrt{(5-0)^2+(6+4)^2}[/tex]
= [tex]\sqrt{125}[/tex]
= [tex]5\sqrt{5}[/tex]
Therefore, both the diagonals are congruent.
Hence, given quadrilateral ABCD is a rectangle.
please help
it would mean the
absolute world:/ giving away lots of points:/
Answer:
:)
Step-by-step explanation:
[tex]M = 3x^2y^3-4xy +x^3y\\\\2M = 2 \times (3x^2y^3-4xy +x^3y) \\\\[/tex]
[tex]= 6x^2y^3 - 8xy + 2x^3y[/tex]
[tex]N = -2x^3y + 6x^2y^3 -8xy -8[/tex]
[tex]= 6x^2y^3 -8xy -2x^3y -8[/tex] [tex][ re-arranging \ the \ terms][/tex]
a)
[tex]2 M - N = ( 6x^2y^3 -8xy +2x^3y) - (6x^2y^3-8xy -2x^3y - 8)[/tex]
[tex]= 6x^2y^3 - 8xy +2x^3y -6x^2y^3 +8xy +2x^3y + 8\\\\= 4x^3y +8[/tex]
b)
[tex]2M - N \ for \ x = -1 \ and \ y = 2: (4(-1)^3\times (2)) + 8 = -8 + 8 = 0[/tex]
I need a math genius
Answer:
yuh?
and what help do you need from me?
im a math genius, thank you very much
:)
need help don't understand
Answer:
the mode is found by how much of the same number there is making the mode 1
the average is found by adding up all of it and dividing it by how many there is making it 4.2 if you need to round it, tha anwser is 4
PLEASE HELP! BRAINLIEST! AND EXTRA POINTS
Tamara uses a coupon to save 20% off her purchase at the bookstore. The original cost of Tamara's purchase is d dollars
Answer:
The discount is $0.8d.
Step-by-step explanation:
Given that,
The original cost of Tamara's purchase is d dollars.
Tamara uses a coupon to save 20% off her purchase at the bookstore.
Discount = 20%
Discount is applied to the original cost.
Discount = d-(20/100)d
Discount = 0.8 d
Hence, the discount is $0.8d.
Jane and Tannic split the cost of buying a video game. The game costs$25, and the sales is 6% markup. How much do they each pay?
Answer:
$13.25
Step-by-step explanation:
Given data
Cost of game = $25
Markup= 6%
Let us find the total cost of the game
First, the markup cost
=6/100*25
=0.06*25
=$1.5
Now the total cost is
=25+1.5
=$26.5
So, each is expected to pay
=26.5/2
=$13.25
Peters mom gave him a $10 bill he purchased a magazine for $4.50 and the tax was 6% how much change did peter get
Answer:
$5.50
Step-by-step explanation:
10 - 4.50 = 5.50
What is the missing number? I’ll mark brainly
Answer:
I think it is 4
I am not sure about it
y< 3x + 12
y> 5x + 7
Answer:y< 3x + 12
y> 5x + 7
Step-by-step explanation:
Increase 25cm in the ratio 6:5
Answer:
Step-by-step explanation:
25 x 6/5 = 30
The areas of the squares adjacent to two sides of a right triangle are shown below.
What is the area of the square adjacent to the third side of the triangle?
Answer:
[tex]85\:\mathrm{units^2}[/tex]
Step-by-step explanation:
All side lengths of a square are equal. The three squares create a right triangle, and the hypotenuse of this triangle represents the side length of the square.
All right triangles must follow the Pythagorean Theorem [tex]a^2+b^2=c^2[/tex] where [tex]c[/tex] is the hypotenuse of the triangle.
Therefore, let [tex]h[/tex] be the side length of this largest square. Since the area of a square with side length [tex]s[/tex] is given by [tex]s^2[/tex], [tex]h^2[/tex] will represent the area of the square:
[tex]\sqrt{35}^2+\sqrt{50}^2=h^2=\boxed{85\:\mathrm{units^2}}[/tex]
Answer:
85
Step-by-step explanation:
We can use the Pythagorean theorem (a^2+b^2=c^2) to find the area of square adjacent to the third side.
Area of a square=side^2
So, we can substitute the areas of the squares that share side lengths with the triangle for a^2, b^2, and c^2 in the Pythagorean theorem.
For example, in the diagram above, the area of the square that shares a side with side length a is 35 square units. So, a^2=35.
Let's fill in the remaining values:
a^2 + b^2 = x^2
35+50-x^2
85=x^2
The area of the square adjacent to the third side of the triangle is 85 units^2.
Find the measure for angles 1 and 2.
20,085 rounded to the nearest hundreds place is?
Answer:
20,100
Step-by-step explanation:
hundreds place is the third from the right
Answer:
20,100
Step-by-step explanation:
085 represents 0 hundreds, 8 tens and 5 ones.
That place keeper 0 is rounded up to a 1 because the following '8' is greater than 5.
Thus, the desired rounded off number is 20,100.
How many pieces ,each of length 3 ¾ m can be cut from a rope of length 30m?
Answer:
8
Step-by-step explanation:
Divide 30 by 3.75 to get 8.
Hope that this helps!
What is the value of w?
Answer:
It would be 1 or just w
Step-by-step explanation:
What is the volume of the rectangular prism?
Answer:
The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height * Width, or V = L * H * W. Ex: V = 5 in.
Find the 7th term in the
sequence
,
32
1, 3, 9,...
Hint: Write a formula to help you.
1st term • Common Ratio desired term – 1)
Enter
Answer:
243
Step-by-step explanation:
formula is
Un = ar^n-1
U7 = ar^7-1
U7 =ar^6
U7 =1/3 ×3^6
where a=1/3 and r= 3
U=243
Find the volume of the cylinder.
Either enter an exact answer in terms of π or use 3.143.t, 14 for π.
Answer:
V =128 pi
Step-by-step explanation:
The volume of the cylinder is given by
V = pi r^ h
V = pi 4^2 *8
V = pi *16*8
V =128 pi
find the x-intercept of the function y=4x+6
Answer:
The x-intercept = -3/2
Step-by-step explanation:
Set y = 0 to find the x-intercepts;
=> y = 4x + 6
=> 0 = 4x + 6
=> 0 - 6 = 4x
=> -6 = 4x
=> -6/4 = x
=> -3/2 = x
Therefore the x-intercept = -3/2
Hope this helps!
Can 17, 9, and 11 be the side lengths of a triangle?
Answer:
No it cant
Step-by-step explanation:
You have to use the Pythagoras theorem which is a^2 + b^2 = c^2. So 9^2 + 11^2= 202. Then 17 is the hypotenuse so 17^2= 289. They are not equal so they are not.
Please helppppppp me
Answer:
13
Step-by-step explanation:
< W = <V Given
WV = 8 Given
XV = 13 Given
Find XW
In an isosceles triangle if you are given the length of one of the sides opposite one of the two equal angles, then the side opposite the other equal angle is equal to the given side.
In sort XV = 13. < V = <W XW = 13
If you are using a compound microscope with an ocular lens with a magnification of 10x and an objective lens of 25x, what is the total magnification of the sample?
Answer:
250×
Step-by-step explanation:
The ocular lens of the compound microscope is 10×
The objective lens of the compound microscope is 25×
Therefore the total magnification can be calculated as follows
= 10×25
= 250
Hence the total magnification of the compound microscope is 250×