Answer:
The length of the other two legs are 6√2.
since the hypotenuse is one of the legs multiplied by √2.
dividing the hypotenuse by √2 will get the length of one leg. since it is a 45 45 90 triangle, the length of the two legs are the same.
12/√2= 12√2/2= 6√2
Select all the rational numbers.
Answer:
A, C and D
Step-by-step explanation:
The locations:
A:(-2, 3) B:(4, -6) C:(10, 2) D:(6, 8)
The EVIDENCE:
Quadrilateral Identified:
Area: The evidence:
The quadrilateral is a trapezoid and the area of the quadrilateral is 85.04 square units
How to determine the quadrilateral?The vertices are given as:
A:(-2, 3) B:(4, -6) C:(10, 2) D:(6, 8)
Next, we plot the vertices (see attachment)
From the attached graph, we can see that the quadrilateral is a trapezoid
How to determine the area?From the plot, we have the following features:
Height: AD
Parallel sides: CD and AB
Calculate the lengths using:
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]
So, we have:
[tex]AD = \sqrt{(-2 -6)^2 + (3 -8)^2}[/tex]
[tex]AD = \sqrt{89}[/tex]
[tex]CD = \sqrt{(10 -6)^2 + (2 -8)^2}[/tex]
[tex]CD = \sqrt{52}[/tex]
[tex]AB = \sqrt{(-2 -4)^2 + (3 +6)^2}[/tex]
[tex]AB = \sqrt{117}[/tex]
The area is then calculated as:
Area = 0.5 * (CD + AB) * AD
This gives
Area = 0.5 * (√52 + √117) * √89
Evaluate
Area = 85.04
Hence, the area of the quadrilateral is 85.04 square units
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Pleeaaaaase help!!!!!!!!!!
Answer:
Step-by-step explanation:
A triangular pyramid has 6 edges, 4 vertices, and 1 base
what’s the answer to this problem , figure out the area and perimeter of this triangle
Answer:
A: 0.3318 m^2 P: 2.66
Step-by-step explanation:
The perimeter is only adding each of the side lengths, so that's not much of an issue. The equation for the area of a triangle is A = (b x h)/2, with "b" being the base length and "h" representing the triangle's height. We must first multiply the base and height, 0.84 x 0.79. This makes 0.6636 which we will then divide by 2. Our area is now proven to be 0.3318 square meters.
y is directly proportional to the square root of x.
y is 24 when x is 36.
Find a formula linking x and y.
Answer:
y=4√x
Step-by-step explanation:
[tex]y = k \sqrt{x} [/tex]
[tex]24 = \sqrt{36} k[/tex]
[tex]24 = 6k[/tex]
[tex]k = 4[/tex]
[tex]y = 4 \sqrt{x} [/tex]
The diameter of a circle is 37 m. Find its area to the nearest whole number.
Answer:
1075
Step-by-step explanation:
Let us say pi/ is 3.14
Diameter is radius times 2, so the radius is half of 37(aka 18.5)
A = n[tex]x^{2}[/tex]
A = 3.14 x 18.5²
A = 3.14 x 342.25
A = 1074.665
snice 6 > 4
A = 1075
PLS I NEED HELP I’LL MARK BRAINLESS
Answer: 17, 13, 9, 5, 1
Step-by-step explanation:
y=-2(-2) + 9 = 13
y=-2(0) + 9 = 9
y=-2(2) + 9 = 5
y=-2(4) + 9 = 1
. Calculate the area and perimeter of a circle with radius
6cm.
Calculate the length of the diameter in a circle whose
Answer:
113.1cm2
Step-by-step explanation:
looked it up
In which data set is the mean greater than the median
Answer:
in 2nd figure will mean greater
Answer:
its the 4th one hopes this help
s
Step-by-step explanation:
dont need to show work at all
Thank you
Answer:
144
Step-by-step explanation:
In a regular decagon like the one shown in the picture each angle is 144 degrees and it all adds up to 1,440. If you want proof search up "angle of a decagon"
Interest is compounded semianually. Find the amount in the account after the given time.
Answer:
5,630.81$
A = 5000(1 + (0.04 × 3)) = 5600
A = $5,630.81
Is ABC similar to DEF? If so, identify the similarity postulate or theorem that applies.
Answer:
B:Similar :SAS
Step-by-step explanation:
The Angle-Side (SAS) Similarity Theorem states that If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides including these angles are proportional, then the triangles are similar.
In the given triangles <B=<E= 40 °
Or,
Hence triangle ABC~ Triangle DEF by SAS similarity theorem.
Give brainliest :)
Option B is correct, by SAS postulate the triangles ABC and DEF are similar.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
ABC and DEF are similar triangle as the corresponding angles are congruent and the corresponding sides are in proportion .
If two sides and the included angle in one triangle are congruent to two sides and the included angle in another triangle, then the two triangles are congruent.
Hence, by SAS postulate the triangles ABC and DEF are similar.
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Find the equation of the line shown. y 4 3 2 1 Х -2 -3 4
Answer:
y = 1/2x + 0.5
or
y = 1/2x + 1/2
Step-by-step explanation:
y = mx + b
b is y-intercept:
when x = 0, y = 0.5 (when the line cross the vertical (y) axis of the graph)
the point is (0, 0.5) so b = 0.5
m is slope:
slope = rise / run
rise = 1
run = 2
for every 2 x values, y increase by 1
slope (m) = 1/2
There are two cubes, one smaller than the other. The two cubes combined has a volume of 118.125in. Find the side length of each cube if the smaller cube is 2/3 the length of the larger cube.
Step-by-step explanation:
let the big cube side be b
small cube side be s
s = 2/3 * b
bv + sv = 118.125
b^3 + 8/9 b^3= 118.125
17 b^3/8 = 118.125
b^3 = 55.58
b = 3.816in
s = 2.544in
need help with all of these questions you see on the top. there the red squares. please someone smart. this is one of the problems I need to finish this tonight
Answer:
V = 36π x 14
Step-by-step explanation:
The volume of a cylinder can be found by multiplying the base area and the height. Therefore, the following equation can be written:
V = 36π x 14
Answer:
Option 4
Step-by-step explanation:
Formula for volume of a cylinder :
Volume = Base Area x Height
Hence :
⇒ V = 36π x 14
Which point is the coordinate of the image of A under the transformation (0,-1 1,0)?
Old coordinate (0,-1)
New coordinate (1,0)
The translation is
(x+1,y+1)Verification
(0+1,-1+1)=(1,0)Image of (0,-1) is (0,1)
Image of (1,0) is (-1,0)
Answer:
(x + 1, y + 1)
Step-by-step explanation:
Translation of x-coordinate :
New - Previous1 - 0+1Rule for x : (x + 1)Translation of y-coordinate :
New - Previous0 - (-1)0 + 1Rule for y: (y + 1)Hence, the points which describes the change :
(x + 1, y + 1)PLEASE HELP ME!!!!!!!!!!!!!!
Answer:
[tex]|-a| =a[/tex]
Step-by-step explanation:
Work out the volume for this prism
[tex]area = 24 \: {cm}^{2} [/tex]
[tex]height = 8 \: cm[/tex]
to find:the volume of the given prism.
solution:[tex]v = area \: of \: cross \: section \times height[/tex]
[tex]v = 24 \times 8[/tex]
[tex]v = 192 \: {cm}^{3} [/tex]
hence, the volume of the prism is 192 cubic centimeters.
9000 dollars is placed in an account with an annual interest rate of 7.75%. How much will be in the account after 18 years
Answer:
34494.79
Step-by-step explanation:
round it up to the nearest cent
hope this helps
pls mark brainliest
Nicole has a loyalty card good for a 18% discount at her local pharmacy. What
number should she multiply the prices on the tags by to find the price she would have
to pay, before tax, in one step?
so let's say the sale price is "P", so Nicole would want to know how much will it be P discounted by 18% of P.
Well, the sale price will just be P or 100% of P, minus 18%, the discounted price will be 100% - 18% = 82%, so the discounted price will be 82% of P.
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{82\% of P}}{\left( \cfrac{82}{100} \right)P}\implies \boxed{0.82}\cdot P\qquad \impliedby \textit{discounted price}[/tex]
what’s the answer to this problem , figure out the area and perimeter of this triangle
Answer:
area: 5×27÷2
perimeter:8+27+34
(geometry)
a trapezoid has an area of 10 square units what scale factor would be required to dilate the trapezoid to have an area of 90 square units
. 9
.6
.3
.1/3
A trapezoid has an area of 10 square units. The scale factor would be 3 to dilate the trapezoid to have an area of 90 square units.
What is the scale factor?The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor.
Let the linear scale factor be k.
The area scale factor is [tex]k^2[/tex]
We'll multiply the old area (10) by the area scale factor ([tex]k^2[/tex] ) to get the area of 90 square units
[tex]10 \times k^2 = 90\\\\k^2 = \frac{90}{10} \\\\k^2 = 9\\\\k = \sqrt{9} \\\\k = 3[/tex]approximately
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5/You spin the spinner
AND flip a coin. Find the
probability of the
compound events. Write
as a fraction and percent.
a) P(1 and tails) =
b) P(even and heads) = (The spinner is 1-5)
Answer:
a) P(1 and tails) = 1/10 = .1
b) P(even and heads) = 1/5 = .2
Step-by-step explanation:
The spinner has 5 outcomes: 1-5.
The coin has 2 outcomes: Heads or Tails.
We want to find the probability of P(1 ∩ T) and P(2,4 ∩ H).
a) P(1 and tails)Spinning the spinner and flipping the coin are independent events; therefore, getting one outcome has no effect on the outcome of another.
For independent events, the multiplication rule is:
P(A and B) = P(A) * P(B)If we use this formula for A, we get that:
P(1 and tails) = P(1) * P(tails)The probability of getting a 1 on the spinner is P(1) = 1/5.
The probability of getting tails on the coin toss is P(tails) = 1/2.
We can now multiply these probabilities together:
P(1 and tails) = 1/5 * 1/2 = 1/10The probability of getting a 1 on the spinner and tails on the coin toss is P(1 and tails) = 1/10 or .1.
b) P(even and heads)There are two even numbers between 1 and 5: 2 and 4.
The probability of getting an even number on the spinner is 2/5.
The probability of getting heads on the coin toss is 1/2.
We can multiply these probabilities together:
P(even and heads) = 2/5 * 1/2 = 2/10 = 1/5The probability of getting an even number on the spinner and heads on the coin toss is P(even and heads) = 1/5 or .2.
A model of a sailing boat is made to the scale
1 : 50, i.e a length of 1 cm on the model
represents 50 centimetres on the real yacht.
If one of the sails on the real yacht has an area
of 5 m² what will be the area of the same sail
on the model?
Answer:
[tex]20cm^2[/tex]
Step-by-step explanation:
We are talking of a linear scale ie 1 cm = 50 cm
So if the real yacht length is 10 meters(10,000 cm), then the model length will be 10000/50 = 200 cm
However, when talking about areas, the scale factor is different. We cannot simply divide 5m by 50
Let's say the sail height is 1 meter and the sail width is 5 meters which will give a sail area of 5 sqm.
The scaled height would be 100/50 = 2cm and scaled width will be 500/50 = 10 cm
So the area of the sail on the model will be 2 x 10 =200 square cm
In short, area of sail on model = (area of sail on real yacht( ÷ (50 x 50)
Since there are 10,000 square cm to 1 square meter we get the answer as 5 x 10000/2500 = 20 square cm
Question 13
2 Points
A farmer has two types of milk, one that is 20% milkfat and one that is 12% milkfat. How much of each is needed to get 20 gallons of 15%
milkfat
An equation is formed of two equal expressions. The amount of 20% milk and 12% milk that is needed to be mixed is 7.5 gallons and 12.5 gallons, respectively.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the amount of 20%milk mixed be represented by x, while the amount of 12% milk mixed is represented by y. Therefore, the two-equation can be written as,
x+y=20 gallons
0.20x + 0.12y = (0.15×20)
Solve the first equation for x, therefore,
x = 20 - y
substitute the value of x in the second equation,
0.20(20-y) + 0.12y = 3
4 - 0.2y +0.12y = 3
-0.08y = -1
y = 12.5 gallons
substitute the value of y in the first equation,
x + 12.5 = 20
x = 7.5 gallons
Hence, the amount of 20% milk and 12% milk that is needed to be mixed is 7.5 gallons and 12.5 gallons, respectively.
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Consider the solid obtained by rotating the region bounded by the given curves about the y-axis. Find the volume v of this solid. V =
The solid was obtained by rotating the region bounded by x² = 27y, x = 0, and y = 1 about the y-axis is 42.411 cubic units.
What is integration?It is the reverse of differentiation.
Consider the solid obtained by rotating the region bounded by the given curves about the y-axis.
[tex]\rm x = 3\sqrt{3y} \ or \ x^2 = 27y[/tex]
x = 0, and y = 1
Then the volume of the solid will be
[tex]\rm Volume = \int _{0}^{1} \pi x^2 dy\\\\Volume = \int _{0}^{1} \pi 27y dy\\\\Volume = 27\pi \int _{0}^{1} \ ydy\\\\Volume = 27 \pi [\dfrac{y^2}{2}] _{0}^{1}\\\\[/tex]
[tex]\rm Volume = 13.5 \times \pi \times [y^2] _{0}^{1}\\\\Volume = 13.5 \times \pi \times (1^2 - 0^2)\\\\Volume = 42.411 \ cubic \ units[/tex]
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write each equation in slope-intercept form.
1. 3x = -8 + y
2. 9 = 3x + 3y
3. 4y – 10 = 20x
[tex]\text{Slope- intercept form is y =mx+c, where m is the slope and c is the y-intercept.}\\ \\\textbf{1)}\\\\~~~~~3x = -8+y\\\\\implies y = 3x +8\\\\\textbf{2)}\\\\~~~~~9=3x+3y\\\\\implies 3y= 9-3x\\\\\implies y= \dfrac 13(9-3x)\\\\\implies y= 3-x\\\\\implies y= -x+3\\\\\textbf{3)}\\\\~~~~~~4y-10 = 20x\\\\\implies 4y = 20x +10\\\\\implies 2y = 10x +5\\\\\implies y = \dfrac 12(10x +5)\\\\\implies y= 5x +\dfrac 52[/tex]
One ruler and 2 pencils cost £1. 40 and one ruler and 6 pencils cost £3. 20 what is the cost of the ruler and pencil?
Answer:
ruler: £0.50
pencil: £0.45
math question on picture
Answer:
28 cm
Step-by-step explanation:
let the unknown side be x , then
using Pythagoras' identity in the right triangle
x² + 21² = 35²
x² + 441 = 1225 ( subtract 441 from both sides )
x² = 784 ( take square root of both sides )
x = [tex]\sqrt{784}[/tex] = 28
Answer:
the unknown side is 28
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2} \\c = 35\\a = 21\\21^{2} + b^{2} = 35^{2}\\441 + b^{2} = 1225\\b^{2} = 1225 - 441\\b^{2} = 784\\b = \sqrt{784} \\b = 28[/tex]
write 17/28 and 11/28 as a fraction, percent, ratio and find the difference
please help me with this question
Answer:
17/28
60.7%
17:28
11/28
39.3%
11:28
Difference: [tex]\frac{3}{14}[/tex]
Explanation:
A fraction can be turned into a percent by dividing the numerator by the denominator and multiplying the result by 100%.
For example:
17/28 = 0.607
0.607 * 100% = 60.7%
A fraction can be turned into a ratio by writing it like this:
numerator:denominator
For example:
11/28
11:28
To find the difference between 2 fractions with the same denominator, simply subtract the 2 numerators.
For example:
[tex]\frac{17}{28} - \frac{11}{28}[/tex]
You subtract 11 from 17, then put the resulting 6 in the fraction with the same denominator. This results in [tex]\frac{6}{28}[/tex] which can be simplified to [tex]\frac{3}{14}[/tex].
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