Answer:
Total weight = 70.5 kg
Step-by-step explanation:
Rectangular frame is made from 5 straight pieces of metal. One of them goes through the diagonal of the rectangle.
2 pieces form the length of the rectangular frame, hence, they have a length of 12 m each
2 pieces from the width of the rectangular frame, hence, they a length of 5 m each
To find the length of the diagonal, we can use Pythagoras Theorem:
Hypotenuse² = Base² + Perpendicular²
Hypotenuse² = 5² + 12²
Hypotenuse² = 169²
Hypotenuse = 13
Hence, the length of the piece of metal placed at the diagonal is 13cm
Find the sum of all lengths of the metal pieces.
Total length = 12 + 12 + 5 + 5 + 13
Total length = 47 m
Total weight = 1.5 × Total length
Total weight = 1.5 kg/m × 47m
Total weight = 70.5 kg
The total weight of the metal in the frame is 70.5 kg
If a rectangular frame is made from 5 straight pieces of metal, with a length of 5m and a width of 12m
Get the diagonal
[tex]d^2= 5^2 + 12^2\\d^2 = 25 + 144\\d^2 = 169\\d= 13m[/tex]
Get the perimeter of the rectangular frame:
Perimeter of the frame = 2(5 + 12) + 13
Perimeter of the frame = 2(17) + 13
Perimeter of the frame = 34 + 13
Perimeter of the frame = 47m
If the weight of the metal is 1.5 kg per metre, the total weight will be expressed as:
Total weight = 47 * 1.5
Total weight = 70.5kg
Hence the total weight of the metal in the frame is 70.5 kg
Learn more here: https://brainly.com/question/10452031
Help! I'm trying to solve this for A and B, and it keeps telling me I'm wrong. The equation is:
√x(7x-4√x)=Ax^(3/2) + Bx
Where A =
and B =
Answer:
A must be 7 and B must be -4
Step-by-step explanation:
Perform the indicated multiplication, obtaining:
7x^(3/2) - 4x = Ax^(3/2) + Bx
Then A must be 7 and B must be -4
PLEASE I NEED HELP!!. i don't know how to do this.
Answer:
∠ FGE = 52.5°
Step-by-step explanation:
The secant- secant angle is half the difference of the measures of the intercepted arcs, that is
∠ FGE = [tex]\frac{1}{2}[/tex] (arc BD - arc FE )
= [tex]\frac{1}{2}[/tex] × (135 - 30)°
= [tex]\frac{1}{2}[/tex] × 105°
= 52.5°
Does anyone know how to do all of this
Answer:
price paid of speakers= £40.5
price paid of headphones=£ 5.6
price paid of book=£6.65
price paid of mobile phone=£42
price paid of mouse=£ 15.75
price paid of DVD=£11.05
solution,
1. Cost of speakers:
Discount percent=10 %
Marked price=£45
discount amount= discount % of MP
=10% of 45
=£4.5
Selling price= MP - discount amount
=£45-£4.5
=£ 40.5
2. cost of headphones:
discount amount= discount% of MP
=20% of 7
=£1.4
Selling price= MP- Discount amount
=£7-£1.4
=£ 5.6
3. cost of books:
discount amount= discount percent of MP
= 30% Of 9.50
=£ 2.85
selling price= MP- Discount amount
= £ 9.50-£2.85
=£ 6.65
4. cost of mobile phone:
discount amount= discount% of MP
=40% of 70
=£ 28
selling price= MP- Discount amount
=£70-£28
=£ 42
5. cost of mouse:
discount amount= discount% of MP
= 25% of 21
=£ 5.25
selling price= MP- Discount amount
=£21-£5.25
=£ 15.75
6. cost of DVD:
discount amount= discount % of MP
= 15% of 13
= £ 1.95
selling price= MP- discount amount
=£ 13 -£ 1.95
=£ 11.05
Hope this helps...
Good luck on your assignment..
Please help ASAP
These box plots show the number of electoral votes won by the democratic and republican candidates for the elections 1984 through 2012
Answer:
A.
Step-by-step explanation:
The interquartile range for republicans is 185.5. The interquartile range for democrats is 186.5.
367.5 - 181 = 186.5
356 - 170.5 = 185.5
Answer:
A
Step-by-step explanation:
Circle F is congruent to circle J, and ∠EFD ≅ ∠GJH. Circles F and J are congruent. Line segments F E and F D are radii. A line connects points E and D to form a triangle. Line segments J H and J G are radii. A line connects points H and G to form a triangle. Angles D F E and G J H are congruent. m∠DFE = 80°. What is the measure of arc Arc G H? °
Answer:
[tex]mGH=80^\circ[/tex]
Step-by-step explanation:
Circle F and J are congruent.
[tex]\angle DFE \cong \angle GJH[/tex]
Given that: m∠DFE = 80°
DFE is the central angle of the circle F.
The measure of arc GH is equal to the central angle of Circle J.
Since both circles are congruent
[tex]mGH=\angle DFE = 80^\circ[/tex]
The measure of arc GH is 80 degrees.
Answer:
Arc GH=80°
Step-by-step explanation:
Edge 2020
what is y=2/3x-4 graphed
Answer:
Please see attached
Step-by-step explanation:
The measures of two angles of pairs of triangles are given. Which pairs of triangles are similar?
Triangle 1:25°, 35
Triangle 2: 25°, 120
Triangle 1: 100°, 60°
Triangle 2: 100°, 20°
Triangle 1: 90°, 45
Triangle 2: 45°, 40
Triangle 1: 37", 63
Triangle 2:63', 107
Triangle 1: 90° 20°
Triangle 2: 20°, 90°
Answer:
Triangle 1: 90°, 20°
Triangle 2: 20°, 90°
Step-by-step explanation:
According to AA or Angle-Angle Similarity, any two triangles with two of the same angle measurements are similar. Only Triangle 1: 90°, 20° and Triangle 2: 20°, 90° have the same two angle measurements.
f(x) = x2. What is g(x)?
Answer: C
Step-by-step explanation:
f(x) = x²
g(x) has the same vertex as f(x) but is wider so has a vertical stretch by a factor of (1/3).
g(x) = (1/3)x²
In a class of 80 students, every student had to study mathematics or biology or both mathematics and biology ,If 65 students studied mathematics and 62.5% of teh class studies biology ,how many students studied both subjects.pls detial properly
Answer:
Well, 80 x 62.5% is 50.
So, 65 + 50 is 115.
I think there is a mistake in the question
Well, It could not, but please check again TT
Step-by-step explanation:
Find the area of the triangle. a) 225 units2 b) 75√3 units2 c) 150√3 units2 d) 27.5√3 units2
Answer:
Thus, area of triangle is [tex]225/\sqrt{3}[/tex]
Step-by-step explanation:
Area if triangle is given by 1/2( base*height)
Given
Height = 15 units
also one angle is given as 30 degrees
we know Tan of any angle is ratio of perpendicular and base
[tex]tan\alpha = perpendicular /base[/tex]
lets calculate tan 30 in the given triangle
we will take the smaller triangle containing angle 30 degrees and right angle
perpendicular will be half of base of triangle
base will be side with length 15 units
tan30 = perpendicular/15
[tex]1/\sqrt{3} = perpendicular/15\\=> perpendicular = 15/\sqrt{3}[/tex]
Thus, half of base of full triangle is [tex]15/\sqrt{3}[/tex]
so full base will be [tex]15*2/\sqrt{3} = 30/\sqrt{3}[/tex]
Full full triangle
height = 15 units
base = [tex]15*2/\sqrt{3} = 30/\sqrt{3}[/tex]
Thus, area of triangle is [tex]1/2* 30/\sqrt{3}*15= 225/\sqrt{3}[/tex]
find clarissa salary when she sells $1700 worth of merchandise.
Answer:
361.25
Step-by-step explanation:
first subtract her sales
900 - 500 equals 400
next subtract her earnings
489-405= 85
next divide the remainder of her earnings by the remainder of her sales
85/400=.2125
finally multiply this by 1700
0.21 to 5 * 1700 equals 361.25
Which of these sets of points lie within plane w?
A.
Cand G
B.
Hand E
C.
C and E
D
A and D
Answer:
option c boo if it's for plata
What are the constants in the expression below? Select three options.
12+x-3.7-8y+1/3
-8
-3.7
1/3
x
12
Answer:
12, -3.7, ⅓
(2nd, 3rd and 5th option)
Step-by-step explanation:
Constants are numbers without any variables with it.
x and y are the variables here.
-8 is the coefficient of y and hence it is not a constant.
*the value of a constant will not change
Note that the constant includes the symbol too, hence it is -3.7 and not 3.7.
Answer: 2nd 3rd and 5th option hope this helps
Step-by-step explanation:
Use the graph of f to describe the transformation that results in the graph of g. f(x) = log x; g(x) =
Hey there!
Answer:
2nd choice, The graph of g(x) is the graph of f(x) reflected in the x-axis, expanded vertically by a factor of 5, and translated 8 unit(s) down.
Step-by-step explanation:
Recall that the transformation form of a logarithmic function is:
y = ±alog(b(x-h))+k
Given g(x) = -5logx-8:
Negative in front of equation: reflection over the x-axis
'a' value of 5: expanded vertically by a factor of 5
'k' value of -8: translated 8 unit(s) down.
WILL MARK BRAINIEST IF CORRECT!!!
1) Write a real-world problem that can be represented by the inequality 8x - 15 ≥ 25.
2) What do the values in the solution set represent in your problem?
Answer:
Look below
Step-by-step explanation:
8 boxes of toothpicks were given to at LEAST 25 students but 15 threw them out
8x= 8 boxes
At least 25= no less than 25 students
-15= the 15 that threw them out
x=boxes
the people= All real numbers
HOPE THIS HELPS!!!
Answer:
1 2 3 4
Step-by-step explanation:
Please help me ASAP (Each choose is Yes/No)
Answer:
MARK me brainliest please
Step-by-step explanation:
yes
yes
no
no
yes
Which expression is equivalent to −(4−3)?Which expression is equivalent to −(4−3)?
Answer: −22+3
Step-by-step explanation:
Answer:
−22+3
Step-by-step explanation:
Triangle ABC is rotated 180° using the origin as the center of rotation.
Answer:
The third answer- a reflection over the x axis then a reflection over the y axis
Answer:the answer is C
Step-by-step explanation:I took the test
find the area of the figure below. round your answer to the nearest tenth
Step-by-step explanation:
Area 1 = the rectangle
8×3=24cm²
Area 2= semi circle
3.14r² 314/100×4×4 = 50.24cm²
add. 24+50.24 = 74.24cm² ( 10th)
= 74.2What is the y-intercept of the function f(x)=4 - 5x?
-5
-4
4
5
Answer:
b = 4
Step-by-step explanation:
Use the slope-intercept form y = m x + b to find the y-intercept b .
Answer:
C: 4
Step-by-step explanation:
HELP!
After a rotation, A(-3, 4) maps to A'(4, 3), B(4, -5) maps to B'(-5, -4), and C(1,6) maps to C'(6, -1). Which rule
describes the rotation?
R0, 90°
R0, 180°
Ro, 270°
RO, 360°
270 degree counterclockwise rotation around the origin
=============================================================
Check out the diagram below. In the diagram, I only focus on points A and A'.
We have A = (-3,4) move to A ' = (4, 3). We see the x and y coordinates swap places. Then the new second coordinate -3 becomes positive, or it has flipped sign. So the rule applied here is [tex](x,y) \to (y,-x)[/tex] which describes a 90 degree clockwise rotation; which is equivalent to a 270 degree counterclockwise rotation
The other points follow the same idea.
Answer:
c
Step-by-step explanation:
Think of a number, multiply it by 6 and increase the product by 7. It will equal a number, multiplied by 2 and
then increased by 6. What number is it?
1
4
1
10
ent
1
8
Answer:
x = -1/4
Step-by-step explanation:
Step 1: Write out 1st equation
6x + 7
Step 2: Write out 2nd equation
2x + 6
Step 3: Set equal to each other
6x + 7 = 2x + 6
Step 4: Solve
4x + 7 = 6
4x = -1
x = -1/4
Solve 2x+2>10
A. x < 4
B. x > 4
C. x > 6
D. x < 6
Answer:
B
Step-by-step explanation:
2x+2>10
2x>10-2
x>8/2
x>4
Find the total surface area of this square based
pyramid.
Answer:
125
Step-by-step explanation:
Surface area is the total area of all the surfaces of a shape. In order to calculate the surface area we need to consider each unique face individually.
The base of the pyramid is a square of side-length 5, and its area is 5×5=25
The side faces form an iscosoles triangle of height 10 and base length 5, its area is 10×5×[tex]\frac{1}{2}[/tex]=25.
The total surface area = Triangle +Triangle +Triangle +Triangle +Square = 25+25+25+25+25 = 125
a number cube numbered 1-6 is rolled 30 times and lands on an even number 18 times. How does this frequency compare to the expected frequency based on the probability of the number cube landing on an even number?
Answer:
The frequency is 3 more than expected
Step-by-step explanation:
There are 3 favourable outcomes: {2, 4, 6}
There are 6 possible outcomes: {1, 2, 3, 4, 5, 6}
probability of the number cube landing on an even number = favourable outcomes / possible outcomes = 3/6 = 1/2
If the cube is rolled 30 times, it is expected that in 1/2*30 = 15 times landed on an even number. The frequency: 18 is 3 more than expected
5x+2y=57 what is x and y equal to?
ffefefertjuylijhq DS3NUFHUFH4UFUFHUFUEFNUEFNUEFN
Vanessa built an enclosed area in the shape of a square in her backyard for her dogs. She used an outside wall of the garage for one of the sides. She had to buy 3 yards of
fencing in order to build the other sides. What is the area of the enclosure?
Which function has the following characteristics? A vertical asymptote at x=-4 A horizontal asymptote at y=0 A removable discontinuity at x=1
Answer:
[tex]\frac{2x - 2}{x^2+3x-4}[/tex]
Step-by-step explanation:
In the figure attached, the question is shown. The function:
[tex]\frac{2x - 2}{x^2+3x-4}[/tex]
has a horizontal asymptote at y = 0 because the degree of the nominator polynomial is less than the degree of the denominator polynomial.
The roots of x² + 3x - 4 are -4 and 1
(-4)² + 3(-4) - 4 = 01² + 3(1) - 4 = 0Then, x² + 3x - 4 = (x + 4)(x - 1)
The function has a vertical asymptote at x = -4 because it is a root of the denominator polynomial.
The function can be simplified as follows:
[tex]\frac{2(x - 1)}{(x+4)(x-1)}[/tex]
[tex]\frac{2}{x+4}[/tex]
Then, it has a removable discontinuity at x = 1
Answer:
D
Step-by-step explanation:
Create a word problem that uses rates
Answer:
Ken can walk 404040 dogs in 888 hours.
How many dogs can Ken walk in 121212 hours?
Step-by-step explanation:
answer= 60
Answer:
if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.
Step-by-step explanation:
What is the value of xx) = 9^x when x= -2?
A. 1/81
B. 81
C. 1/81
D. 18
Answer:
C. [tex]9^{-2} = \frac{1}{81}[/tex]
Step-by-step explanation:
Given
[tex]9^{x}[/tex]
Required
Find the expression where x - 2
[tex]9^{x}[/tex]
Substitute 2 for x
[tex]9^{-2}[/tex]
From law of indices which states
[tex]a^{-b} = \frac{1}{a^b}[/tex]
So, the expression becomes
[tex]9^{-2} = \frac{1}{9^2}[/tex]
Expand the denominator
[tex]9^{-2} = \frac{1}{9 * 9}[/tex]
[tex]9^{-2} = \frac{1}{81}[/tex]
Hence, [tex]9^{x}[/tex] is [tex]\frac{1}{81}[/tex] when x = 2