Answer:
57kg
Step-by-step explanation:
We need to find the length of each piece of metal:
We already know that 2 of them are 6m and 8m and this would be the same for the pieces of metal opposite.
So we have four lengths - 6m, 6m, 8m, and 8m
To find the last length, we need to use pythagoras theory
a² + b² = c² where c is the slanted side, or the diagonal
6² + 8² = c²
36 + 64 = 100
c² = 100
c = √100 = 10
So the five lengths are 6m, 6m, 8m, 8m, and 10m and the total is 38m
If:
1m = 1.5kg
38m = ?kg
We have to multiply both sides by 38
1m × 38 = 38m
1.5kg × 38 = 57kg
So, the total weight of metal in the frame is 57kg
Given that ∠ADC≅∠BCD, AC⊥CD and BD⊥CD, which of the following proves that △ACD≅△BDC?
Answer:
1. ∠ADC≅∠BCD (Given)
2. AC¯¯¯¯¯⊥CD¯¯¯¯¯; BD¯¯¯¯¯⊥CD¯¯¯¯¯ (Given
)3. ∠ACD and ∠BDC are right angles(Def. of ⊥)
4. ∠ACD≅∠BDC (Rt. ∠≅Thm.)
5. CD¯¯¯¯¯≅CD¯¯¯¯¯ (Reflex. Prop. of ≅)
6. △ACD≅△BCD (ASA Steps 1, 5, 4)
△ACD and △BCD are Congruent triangles because Two angles are the same, as is a corresponding side.
What is of congruent triangle?Congruent triangles have comparable sides and angles that are equal. The symbol "≅" represents congruence.The three sides are all the same (SSS: side, side, side)Two angles are the same, as is a corresponding side (ASA: angle, side, angle)We know that two triangles are congruent if all of their sides are the same— thus side, side, side (SAS: side, angle, side). We also know they are congruent if we have a side, an angle between the sides, and another congruent side—so side, angle, side.1. ∠ADC≅∠BCD (Given)
2. AC⊥CD; BD⊥CD (Given
3. ∠ACD and ∠BDC are right angles(Def. of ⊥)
4. ∠ACD≅∠BDC (Rt. ∠≅Thm.)
5. CD≅CD (Reflex. Prop. of ≅)
6. △ACD≅△BCD
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A cleaning solution uses 5 cups of soap for every 2 cups of vinegar. If Emery put 4 cups of soap in a container, how
many cups of vinegar must she use?
1.6 cups of vinegar used for 4 cups of soap.
What is Unitary Method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
For 5 cups of soap = 2 cups of vinegar
For 1 cups of soap = 2/5 cups of vinegar used.
Now we have to find how much vinegar required for 4 cups of soap.
So, for 4 cups of soap
=2/5 * 4
=8/5
=1.6 cups of vinegar used.
Hence, 1.6 cups of vinegar used.
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Find the equation of the line that goes through (-8,11) and is perpendicular to x= - 15. Write the equation in the form x = a, y = b, or y = mx + b.
The equation is
(Type the equation using integers or fractions. Simplify your answer.)
Answer:
y=11
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through the point (-8, 11) and is perpendicular to x=-15
If a line is perpendicular to another line, it means that the slopes of those lines are negative and reciprocal; in other words, the product of the slopes is equal to -1
The line x=-15 has an undefined slope, which we can represent as 1/0, which is also undefined.
To find the slope of the line perpendicular to x=-15, we can use this equation (m is the slope):
[tex]m_1*m_2=-1[/tex]
[tex]m_1[/tex] in this instance would be 1/0, so we can substitute it into the equation:
[tex]\frac{1}{0} *m_2=-1[/tex]
Multiply both sides by 0
[tex]m_2=0[/tex]
So the slope of the new line is 0
We can substitute it into the equation y=mx+b, where m is the slope and b is the y intercept:
y=0x+b
Now we need to find b:
Since the equation passes through the point (-8,11), we can use its values to solve for b.
Substitute -8 as x and 11 as y:
11=0(-8)+b
Multiply
11=0+b, or 11=b
So substitute into the equation:
y=0x+11
We can also write the equation as y=11
Hope this helps!
A line passes through the points (−6,−8) and (−3,−7). What is the equation of the line in Slope-Intercept Form?
13 For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a
coordinating response. Be sure to clearly label each part of your response as Part A Part B, and Part C.
Part A: Jamal has $35 to spend at the mall. If pairs of shorts are $9.99, how many can he buy?
Part B: Round your answer to an appropriate number.
Part : In a short paragraph, explain in your own words your work for Steps A and B.
Answer:
35 / 9.99 = can buy 4 rounded
paragraph: To find how many pairs of shorts we can buy, we must divide our total money with the cost. We are diving because we need to find how many times 35 can go into 9.99 to find our number. 35 / 9.99 = 3.5035035035035. Our answer must be rounded now because shorts are in whole numbers and can't be in decimals. Take the tenth place of the decimal and round it to the nearest number. 5 is closer to 10 than 0 so we just round it to 4 and there is our answer.
please help me thank you
Answer:
Step-by-step explanation:
1.x +y = 1 Yes
2. Power of variable e is 3. So, it is not a linear equation
No.
3) Great than symbol is there. No, it is not a linear equation.
4. 2x -y = 2x + 5
2x - y - 2x = 5
-y = 5 is not a linear equation with two variable.
No.
5. No.
1) (5,14) ; (19,7)
[tex]Slope = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{7-14}{19-5}\\\\=\dfrac{-7}{14}\\\\=\dfrac{-1}{2}[/tex]
2) (-10 , 1) ; (-10 ,4)
x- coordinate is same for both the points. So, the line is parallel to y-axis
Slope = undefined
[tex]3) (-3,-3) ; (15,13)\\\\slope=\dfrac{13-[-3]}{15-[-3]}\\\\=\dfrac{13+3}{15+3}\\\\=\dfrac{16}{18}\\\\=\dfrac{8}{9}[/tex]
[tex]4)(\dfrac{-1}{2},\dfrac{1}{7}) ; (\dfrac{-3}{2},\dfrac{2}{7})\\\\Slope=\dfrac{\dfrac{2}{7}-\dfrac{1}{7}}{\dfrac{-3}{2}+\dfrac{1}{2}}\\\\\\=\dfrac{\dfrac{1}{7}}{\dfrac{-2}{2}}\\\\\\=\dfrac{\dfrac{1}{7}}{-1}\\\\\\=\dfrac{-1}{7}[/tex]
Compare with y = mx + b ; here m is slope
1. y = -2x - 8
slope = -2
2. x = 3
Line is parallel to y-axis.
So, slope = undefined
3.2x - y = 4
2x - 4 = y
y = 2x - 4
Slope = 2
4.) 2x + y - 5 = 0
y = -2x + 5
Slope = -2
Subtract the linear expressions. (−2.6x+4.2)−(3.9x+2.5) What is the difference? Enter your answer in the box.
Answer:
-13x/2+1.7
Step-by-step explanation:
The difference of the given expression is - 6.5 x + 1.7.
Given that, (−2.6x+4.2)−(3.9x+2.5).
What is the subtraction of expressions?To subtract an algebraic expression from another, we should change the signs (from '+' to '-' or from '-' to '+') of all the terms of the expression which is to be subtracted and then the two expressions are added.
Now, (−2.6x+4.2)−(3.9x+2.5)
= (-2.6x-3.9x)+4.2-2.5
= - 6.5 x + 1.7
Therefore, the difference of the given expression is - 6.5 x + 1.7.
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Find the slope of the line through each pair of points.
(−13, −19), (13, 3)
Find the slope of each line.
y = 2x − 1
The question gives us two points, (−13, −19) & (13, 3), from which we can find the slope and later the equation of the line.
Finding the Slope
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= ((3 - (-19)) ÷ (13 - (-13))
= 22 ÷ 26
= ¹¹/₁₃
Checking my answer:
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line. If the line passes through both of the points then we calculated the slope correctly.
⇒ y + 19 = ¹¹/₁₃ (x + 13)
I have included a Desmos Graph that I graphed using the information equation (including the slope) and the points given.
I need help!!! Can you figure this out?
Answer:
128 degrees
Step-by-step explanation:
38+90=128
The formula F=95C+32 changes a temperature reading from the Celsius scale C to the Fahrenheit scale F. What is the temperature measured in degrees Fahrenheit when the Celsius temperature is 50°C?
Answer:
122°F
Step-by-step explanation:
F=(50×9/5)+32
= 122°F
construct a quadrilateral Zeus in which NE=7 cm ,EW = 6 cm <N=60° , <E=110° and <S=85°
Answer:
look it up online
Step-by-step explanation:
look it up online
Answer:
Hello didi
Step-by-step explanation:
I am changing my account
so can u tell me how I sellect as friend on this app
so didi my new id is of nature lover
What the answer?????
Okay,
So this equation is non existent. It is not an equation nor expression.
Key Info:
x - variable
0.256 - decimal
10.3 - decimal
Hope this helps.
Add more information to your answers. ( GIVE CONTEXT )
is 24:4 equivalent to 6:1
PLEASE HELP ILL MARK BRAILIEST!!!!!
Answer:
(-6,2)
Step-by-step explanation:
Answer:
y=4/5x-17/5
Step-by-step explanation:
Hope this helps!
The second picture is the same as the picture you have thus the equation is correct
5 ( x + y) +3 (2x +y)
Answer:
11x + 8y
Step-by-step explanation:
(5x + 5y) + 3 ( 3 · 2x + 3y)
(5x + 5y) + (6x + 3y)
5x + 5y + 6x + 3y
5x + 6x + 5y + 3y
11x + 8y
A concert venue can hold up to 2,400 people. 50 tickets are automatically reserved for radio stations to give out. When tickets go on sale for a Coldplay concert, 30 tickets are sold every minute. Which inequality below represents times in minutes , m, before the concert is sold out?
tickets for the school play cost 6 dollars for the adults and 3.50 for the students
Answer:
what's the problem i know that "tickets for the school play cost 6 dollars for the adults and 3.50 for the students" but you didn't say how many people are going
Step-by-step explanation:
8= -2/5c c=
What does c= ?
Answer:
c = -20
Step-by-step explanation:
8/-0.4=-20.
8 = (-2/5) * 20
32 is 4 times as much as what number
Answer: 8
Step-by-step explanation:
The 4 times of the number 8 results to 32.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values. In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
32 is 4 times as much as what number
let the number be x.
So, 4 times of x = 32
4x = 32
Divide both side by 4.
4x/4 = 32/4
x= 8
Hence, the 4 times of the number 8 results to 32.
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identify the errors made in finding the inverse of y = x2 + 12x. An image shows a student's work. Line 1 is x = y squared + 12 x. Line 2 is y squared = x minus 12 x. Line 3 is y squared = negative 11 x. Line 4 is y = Start Root negative 11x End Root, for x greater-than-or-equal 0.
solving for the inverse of y = x² + 12x
Line 1: x = y² + 12 x.
Line 2 y² = x - 12 x.
Line 3 is y²= - 11 x.
Line 4 is y = √(- 11x) for x ≥ 0.
The error lies in Line 1. All x's have to be switched with y's and vice versa for the method to work.
As such Line 1 should be x = y² + 12y NOT (x = y² + 12 x)
Since Line one is wrong, it messes with all the other lines.
how can I Simplify 4p³ × 3p⁷
[tex] = 12 {p}^{10} [/tex]
hope it helps
#carry on learning
calculate the area of the shape
Step-by-step explanation:
Area of a trapezium = ¹/₂ (a + b) h
But the height isn't given. So we have to solve for it.
h = √(10² - 6²) [using the Pythagorean theorem]
= 8
∴ Area of the shape = ¹/₂ (13 + 28) 8
= 164 u²
(6)(−3)(−5) ........................
Answer:
-2? maybe
Step-by-step explanation:
please please please answer ill pay you
Answer:
Your answer is :
There are three basic Transformations ( changes ) that can be done to a shape. They are Reflection, Rotation, and Translation. These transformations move the shape without making any Changes to its shape or size. A Reflection flips a shape over to create a mirror image. The dotted line in the video is like a Mirror. The copied second shape we see across the line is called an Image. It is exactly Opposite the first shape.
Step-by-step explanation:
Hope this helps!
There are three basic transformations that can be done to a shape. They are reflection, rotation, and translation.
Reflection RotationTranslationThese transformations move the shape without making any changes to its shape or size. A reflection flips a shape over to create a mirror image. The dotted line in the video is like a reflection. (The triangle below on the right side has been reflected (flipped) over the dotted line to create a mirror image. The second shape we see across the line is called an image. It is exactly opposite of the first shape.
Ron earned $95 in interest for leaving $1,000 in an account for 3 years. What was his rate? Round to the nearest hundredth (2 decimal places).
Answer:
x=0.0307
Step-by-step explanation:
Two cars start at a given point and travel in the same direction at average speeds of 45 miles per hour and 52 miles per hour (see figure). How far apart will they be in 4 hours?
Answer:
half apart
Step-by-step explanation:
hope it help you
A college student takes out a $7 500 loan from a bank. Assuming the student has not started paying back the money, how much does the student owe . . .
1.1 . . . after 1 year, if the bank charges 3.8% interest each year?
Which type of parent function is f(x) =^3cubed x
—
A. Square root
O B. Cube root
O C. Reciprocal
D. Quadratic
Help quick!!!
Answer:
Cube Root
Step-by-step explanation:
Because there is a 3 outside the symbol.
That means the equation is stating: y * y * y = x
Hope this helps :)
(02.01)Which translation will change figure ABC to figure A'B'C'?
3 units right and 3 units up
4 units right and 3 units up
4 units right and 4 units up
4 units left and 3 units down
Answer:
4 units right and 3 units up.
Step-by-step explanation:
Answer Asap!
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