Answer:
B: All four triangles are congruent.
C: All four triangles are right-angled.
E; Area of rhombus = 4 times the area of one triangle.
Step-by-step explanation:
A rhombus is a quadrilateral with equal length of sides. It stands on one of its edges, and a simple example is the shape of a diamond. It has two diagonals which bisect the angles of the rhombus.
When a rhombus is cut along its diagonals, the following properties of the shape formed can be observed:
B: All four triangles are congruent.
C: All four triangles are right-angled.
E; Area of rhombus = 4 times the area of one triangle.
A fruit juice recipe uses three ingredients. Two of the ingredients use a ratio of 2 ounces of pineapple juice to 5 ounces of fruit punch. Part A: Grape a line on the coordinates plane to represent this relationship
Part B: Create an equation to represent this relationship. Let x represent ounces of pineapple juice. Let y represent ounces of fruit punch.
Answer:
(a) See attachment
[tex](b)\ y =2.5x[/tex]
Step-by-step explanation:
Given
[tex]x \to pineapple[/tex]
[tex]y \to fruit[/tex]
[tex]x : y =2 : 5[/tex]
Solving (a): The graph
First, we create an equation from [tex]x : y =2 : 5[/tex]
Express as fraction
[tex]\frac{x }{ y} =\frac{2 }{ 5}[/tex]
Cross multiply
[tex]2y = 5x[/tex]
See attachment for graph
Solving (b): An expression that represents the relationship
In (a), we have:
[tex]2y = 5x[/tex]
Divide by 2
[tex]y = \frac{5}{2}x[/tex]
[tex]y =2.5x[/tex]
simplify the expressions √(x^2-6x+9) if x>3
Answer:
simplified expression for √x^2+6x+9 if x≥3
is x+3
Step-by-step explanation:
but given that x≥3
then we have to negate solution -(x+3)\
Then simplified expression for √x^2+6x+9 if x≥3
is x+3
Jed works for Metal Fabricators, Inc. Which just lost a large contract and has asked employees to take a 12 percent pay cut. If Jed now makes $34,500 per year, what will his yearly pay be after the pay cut?
Answer: [tex]\$30,360[/tex]
Step-by-step explanation:
Given
Jed makes [tex]\$34,500[/tex] per year
After the loss of contract, a paycut of 12% is there
The amount after the paycut is
[tex]\Rightarrow 34,500(1-0.12)\\\Rightarrow 34,500\times 0.88\\\Rightarrow \$30,360[/tex]
calculate the volume of a ball having a radius of 8 cm
Answer:
267.9 [tex]cm^{3}[/tex]
Step-by-step explanation:
volume of a circle = 4/3 * π *[tex]r^{2}[/tex]
=4/3 *3.14 *[tex]8^{2}[/tex]
=12.56/3 *64
=803.84/3
=267.94
=267.9 [tex]cm^{3}[/tex]
During a canoeing trip, it takes Raymond 4 hours to paddle 12 miles upstream. It takes him 3 hours to make the return trip paddling downstream. Find the speed of the canoe in still water
Answer:
During a canoeing trip, it takes Raymond 4 hours to paddle 12 miles upstream. It takes him 3 hours to make the return trip paddling downstream. Find the speed of the canoe in still water
Step-by-step explanation:
sorry i dont know
A 3050 foot long road travels directly up a 550 foot tall hill. Select the equation that can be used to solve for the angle of elevation (0) from the bottom of the hill.
Answer:
d is the answer ✌sin ०=3000/3050
I was doing my khan and i got stuck
6=2(y+2)
Answer:
[tex]y=1[/tex]
Step-by-step explanation:
Given:
[tex]6=2(y+2)[/tex]
Distribute the parenthesis
[tex]6=2y+4[/tex]
Subtract both sides by 4
[tex]2=2y[/tex]
Divide both sides by 2 to get [tex]y[/tex] alone
[tex]1=y[/tex]
Hope this is helpful
(03.01 LC)
Which of the following is equal to √3√2? (4 points)
Answer:
D
Step-by-step explanation:
We are given:
[tex]\displaystyle \sqrt{\sqrt[3]{2}}[/tex]
Recall the property:
[tex]\displaystyle \sqrt[b]{x}=x^{1/b}[/tex]
Hence:
[tex]\displaystyle \sqrt{\sqrt[3]{2}}=\sqrt{2^{1/3}}[/tex]
Using the same property:
[tex]\sqrt{2^{1/3}}=(2^{1/3})^{1/2}[/tex]
Recall the property:
[tex](x^a)^b=x^{ab}[/tex]
Hence, multiply:
[tex](2^{1/3})^{1/2}=2^{1/6}[/tex]
Therefore:
[tex]\displaystyle \sqrt{\sqrt[3]{2}}=2^{1/6}[/tex]
Our answer is D.
Answer:
The answer is [tex]2^{\frac{1}{6} }[/tex].
Step-by-step explanation:
To find which answer is equal to [tex]\sqrt{} \sqrt[3]{2}[/tex], start by simplifying [tex]\sqrt{} \sqrt[3]{2}[/tex]. The radical will simplify to [tex]\sqrt[6]{2}[/tex].
An easy way to determine which answer is correct, convert each of the numbers to decimal form.
For [tex]\sqrt[6]{2}[/tex], it will look like 1.122 in decimal form.
For [tex]2^{\frac{2}{3} }[/tex], it will look like 1.587 in decimal form.
For [tex]2^{\frac{3}{2} }[/tex], it will look like 2.828 in decimal form.
For [tex]2^{\frac{1}{3} }[/tex], it will look like 1.260 in decimal form.
For [tex]2^{\frac{1}{6} }[/tex], it will look like 1.122 in decimal form.
Then, by seeing which two decimal forms are the same, it causes the answer to be [tex]2^{\frac{1}{6} }[/tex].
solutia reala a ecuatiei 4x la a doua = 6 intregi si 1/4 (dau coroana)
Answer:
x = + 5/4 or x = - 5/4
Step-by-step explanation:
[tex]4 x^2 = 6\frac{1}{4}\\\\4 x^2 = \frac{25}{4}\\\\x^2 =\frac{25}{16}\\\\x = \pm \frac{5}{4}[/tex]
please help me with this question. find the exact circumference of the circle using the given inscribed polygon please help me
53,38
Step-by-step explanation:
x = √15² + 8²
x = √225 + 64
x = √289
x = 17
circle's circumference = π × d
3,14 × 17 = 53,38
1. Convert the quinary number 42 into binary number.
Answer:
42 in binary number is 101010.
PLEASE HELP IM SORRY THE PIC IS BLURRY I NEED TO PASS SUMMER SCHOOL
Aswer:
c represnt the function hope it helps you make me brainlest pls
The mean age of 5 peoplein a room is
36 years
A person enters the room.
The mean age is now 36
What is the age of the person who
entered the room?
tan2°- cot 88° evaluate
Answer:
0
Step-by-step explanation:
tan2°- cot 88° = tan 2° - tan (90-88)°
= tan 2°-tan 2° = 0
Answer:
0Step-by-step explanation:
➡️tan 2° - cot 88°
➡️tan 2° - tan (90° - 88°)
➡️tan 2° - tan 2°
➡️ 0 ✅
What is the first step when factoring the trinomial .,
Answer:
Step 1: Set up a product of two ( ) where each will hold two terms. Step 2: Find the factors that go in the first positions. Step 3: Find the factors that go in the last positions. We need two numbers whose product is 9 and sum is 2.p explanation:
Answer:
A❤️✌️❤️✌️❤️Aaaaaa
state wether the product of √3 and √9 is rational or irrational. explain your answer
√9 is rational and √3 irrational number
So sánh √144 và √169
Answer:
Step-by-step explanation:
√144 < √169
Answcăn169
Step-by-step explanat
ion:cvăn 144
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Solve each equation. Leave the answer as an improper fraction.
16x2 = 49
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Answer:
Given : isosceles right triangle hypotenuse = 8 cm
To find : leg of isosceles right triangle
Solution
isosceles right triangle
Hence Perpendicular = base
Both legs are of Equal length
Applying Pythagoras theorem
Perpendicular² + base² = Hypotenuse²
Hypotenuse = 8 cm given
=> Perpendicular² + base² = 8²
Perpendicular = base = x
=> x² + x² = 64
=> 2x² = 64
=> x² = 32
=> x = 4√2
legs of isosceles right triangle whose hypotenuse is 8 cm
are 4√2 cm
Step-by-step explanation:
Hope this answer helps you :)
Have a great day
Mark brainliest
PLZ HELP ASAP DUE IN 10 MINS I WILL MARK BRAINLIEST!!!!
Answer:
15/8
Step-by-step explanation:
Applying
tanθ = Opposite(O)/Adjacent(A)
tanθ = O/A............ Equation 1
From the diagram,
To get the opposite(O), we apply pythagoras theorem
a² = b²+c²
Where c = opposite
17² = 8²+c²
289 = 64+c²
c² = 289-64
c² = 225
c = √225
c = 15
Substitute into equation 1
Therefore,
tanθ = 15/8
Hence the exact value of tanθ is 15/8
determine the number of terms in the sequence: 1/4, -1/-2, 1, 16384
(full answer )
Answer:245
Step-by-step explanation:
help help help help help
Answer:
y = 45
Step-by-step explanation:
y = 9x
input = 5
y = 9(5)
9(5) = 45
y = 45
which expressions represents 15 more than the product 6 and 8
Please i need help
Answer:
x-15 = 48
or
x= 15 + (6*8)
Step-by-step explanation:
Pls vote as brainliest
Hi,
The correct answer is x=15 + (6x8)
plz help me I'm literally about to cry
Answer:
[tex](2,4)[/tex]
Step-by-step explanation:
Hope it is helpful...
Select the choice that follows the correct sequence of steps in solving this inequality.
-1/2y - 1 < or equal to 3
Answer:
what are the choices?? if you don't mind me asking
What are the coordinates of the point on the directed line segment from ( − 10 , 2 ) (−10,2) to ( − 10 , − 5 ) (−10,−5) that partitions the segment into a ratio of 6 to 1?
Answer: [tex](-10,-4)[/tex]
Step-by-step explanation:
Given
The points joining line segment are (-10,2) and (-10,-5)
Using section formula, a point joining segment [tex](x_1,y_1)\ \text{and}\ (x_2,y_2)[/tex] divides it in k:1 has coordinates
[tex]x=\dfrac{kx_2+1\cdot x_1}{k+1}[/tex], [tex]y=\dfrac{ky_2+y_1}{k+1}[/tex]
Ratio is 6:1
Coordinates are
[tex]\Rightarrow x=\dfrac{6(-10)+(-10)}{6+1}\\\\\Rightarrow x=-10[/tex]
[tex]\Rightarrow y=\dfrac{-5(6)+1(2)}{6+1}\\\\\Rightarrow y=\dfrac{-28}{7}\\\\\Rightarrow y=-4[/tex]
Thus, the coordinates are [tex](-10,-4)[/tex]
Mr.Williams drew
△
A
B
C
on a coordinate grid and asked his students to determine the transformations that will result in a transformed figure
△
A
`
B
`
C
`
such that
△
A
`
B
`
C
`
is similar but NOT congruent to
△
A
B
C
.
Two student responses are shown below.
Student 1: Reflect
△
A
B
C
across the y-axis and then dilate it by a scale factor of 1 with the center of dilation at the origin.
Student 2: Dilate
△
A
B
C
by a scale factor of 2 and the center of dilation at the origin and then reflect it across the x-axis.
Which statement is true?
A.
Neither student 1 nor student 2, because dilations and reflections preserve both side lengths and angle measures.
B.
Both student 1 and student 2, because dilations and reflections preserve angle measures but not side lengths.
C.
Only student 2, because dilations preserve angle measures and side lengths are proportional.
D.
Only student 1, because this dilation preserves angle measures and side lengths.
Answer: Answer C , Only student 2, because dilation preserve angle measures and side lengths are proportional
The true statement is only student 2, because dilations preserve angle measures and side lengths are proportional.
What is Geometric Transformation?Transformation of geometrical figures or points is the manipulation of a given figure to some other way.
Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.
Dilation is a type of transformation where the figure is enlarged or made smaller such that it preserves the shape but not size.
In Reflection the figure is flipped. In other words, a figure when undergoes reflection becomes it's mirror image.
Dilation preserves the angle measures, so the triangles will be similar.
Reflection, on the other hand, will result in congruent triangles.
Student 1 said that Reflect △ABC across the y-axis and then dilate it by a scale factor of 1 with the center of dilation at the origin.
If the scale factor is 1, then the dilated image will be the same as the original image.
So the resulting triangle will be congruent to the original triangle.
In the case of what student 2 said, scale factor is 2. Triangle is enlarged.
So the resulting image will be similar to the original one.
Hence student 2 is correct.
Learn more about Transformations here :
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Find 3v - 4w if v = -3i and w=-i + 5j. Use < > for
vector notation.
Answer:
[tex]<-5, 20>[/tex]
Step-by-step explanation:
What we're given:
[tex]\vec{v}=-3i[/tex] [tex]\vec{w}=-i+5j[/tex]The vector [tex]3v-4w[/tex] is then [tex]3(-3i)-4(-i+5j)=-9i+4i-20j=-5i+20j\implies \boxed{<-5, 20>}[/tex]
Q- y = 7 is a line which is-(A) Parallel to y-axis (B) Parallel to x-axis (C) Passing through (7, 7) (D) Passing through origin
===================================================
Explanation:
Every point on the line y = 7 has a y coordinate of 7. Two such points are (0,7) and (1,7). The x coordinate can be anything you want. This line is completely horizontal and parallel to the x axis.
We can think of y = 7 as y = 0x+7. It's of the form y = mx+b with m = 0 as the slope and b = 7 as the y intercept.
What is the
equation of the graphed line written in
standard form?
O X=-3
O y=-3
O x+y=-3
x-y=-3
Answer:
x = -3
Step-by-step explanation:
This is a vertical line. The x value remains constant.
x = -3
Answer:
x= 5.45 or -5.45
Step-by-step explanation:
Which region represents the solution to the given system of inequalities?
{y < -1/2x }
[y ≥ 2x+3 }
A
B
C
D
The region D represents the solution of the given system of inequalities.
What is the system of linear inequalities?
A system of linear inequalities is a collection of linear inequalities in the same variables.
How to shade the graph of inequalities?Rearrange the equations so "y" is on the left and everything else on the right. Plot the "y≤ ,y≥ ,y> or y< " line.Shade above the line for a " greater then" and below for the "less than".According to the given equation.
We have system of inequalities.
[tex]y < \frac{-1}{2}x[/tex]
and [tex]y \geq 2x + 3[/tex]
Also, the graph of the inequalities.
Since, y is less than [tex]-\frac{1}{2} x[/tex] shade below the line.
And, for the second inequality.
y is greater than and equal to 2x + 3 therefore, shade the above the line.
So, the common region D we get after the shading.
Hence, region D represents the solution of the given system of inequalities.
Find out more information about system of inequalities:
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