Answer:
The width is 5/2 = 2.5 cm
The length is 9/2 = 4.5cm
Step-by-step explanation:
The length is 2 longer than the width
l = w+2
The perimeter is 14
P =2 ( l+w)
14 = 2 (l+w)
Replace l with w+2
14 = 2 ( w+2+w)
14 =2 (2w+2)
Divide each side by 2
14/2 = 2/2(2w+2)
7 = 2w+2
Subtract 2
7-2 = 2w+2-2
5 = 2w
Divide by 2
5/2 = w
The length is w+2
5/2+2
5/2+4/2 = 9/2
The width is 5/2 = 2.5
The length is 9/2 = 4.5
Drilon got 63 out of 72 correct in his test. What fraction of the marks did he get correct?
Answer:
Fraction = [tex]\frac{7}{8}[/tex]
Step-by-step explanation:
Total Marks = 72
Obtained Marks = 63
Fraction = [tex]\frac{Obtained Marks}{Total Marks}[/tex]
Fraction = [tex]\frac{63}{72}[/tex]
In simplified form
Fraction = [tex]\frac{7}{8}[/tex]
Please help ASAP Thankies ;-;
Answer:
RT
Step-by-step explanation:
The diameter goes from one side of the circle to the other side passing through the center
The only diameter given is RT
two polygons are similar. What is the correct similarity statement?
Answer:
option 3
Step-by-step explanation:
Given the 2 triangles are similar then corresponding angles are congruent.
Calculate the missing angles in both triangles.
∠ A = 180° - (90 + 35)° = 180° - 125° = 55°
∠ L = 180° - (90 + 55)° = 180° - 145° = 35°
Consider ACB ~ MNL , comparing corresponding angles
∠ A= 55° and ∠ M = 90° ← not congruent
Consider ABC ~ LMN, comparing corresponding angles
∠ A = 55° and ∠ L = 35° ← not congruent
Consider CBA ~ LMN , comparing corresponding angles
∠ C = 35° and ∠ L = 35° ← congruent
∠ B = 90° and ∠ M = 90° ← congruent
∠ A = 55° and ∠ N = 55° ← congruent
The correct similarity statement is
CBA ~ LMN
Answer: C) CBA ≅ LMN
Step-by-step explanation:
Match up the congruent angles:
∠C = 35°, ∠L = 90° - 55° = 35° --> ∠C ≡ ∠L
∠B = 90°, ∠M = 90° --> ∠B ≡ ∠M
∠A = 90° - 35° = 55°, ∠N = 55° --> ∠A ≡ ∠N
The similarity statement can be written in any order as long as the congruent angles are in the same placement (1st, 2nd, or 3rd).
ΔABC ≅ ΔNML
ΔBCA ≅ ΔMLN
ΔCAB ≅ ΔLNM
ΔCBA ≅ ΔLMN
ΔACB ≅ ΔNLM
ΔBAC ≅ΔMNL
Any of these similarity statements can be used!
The tip jar at a sandwich shop has been found to have a dollar value 0.65ℎ +1.25, where ℎ is the number of hours since the shop opened.
a. By how much is the value of the tip jar increasing
The tip jar is increasing by 65 cents per hour
b. How much is the initial value of the tip jar when the store opens?
Answer:
The intial value is 1.25
Step-by-step explanation:
Erin has x working toys and y broken toys. Bert plays with Ernie's toys and breaks 1/3 of the working toys. Ernie then throws aways 1/4 of all of the broken toys. In terms of x and y, how many toys did Ernie throw away,
Answer:
y/4 + x/12
Step-by-step explanation:
The number of working toys = x
The number of broken toys = y
Bert breaks 1/3 of the working toys, that is:
1/3 * x = x/3
The number of broken toys is now:
y + x/3
Ernie then throws away 1/4 of the broken toys. In terms of x and y, the number of broken toys that Ernie threw away is:
1/4 *(y + x/3)
= y/4 + x/12
_______ natural numbers are whole numbers. 1.) Some 2.) All 3.) No
Answer:
All
Step-by-step explanation:
Whole numbers are numbers 0 to infinity.
Natural numbers are numbers 1 to infinity.
So, your answer is all.
Simplify a^5 take away a^3
Answer:
Step-by-step explanation:
If it was like....[tex]\frac{a^{5}}{a^{3}}[/tex]
then you subtract 5 minus 3 to be left with a^2 on the numerator
That would be how you would take it away.
The climbing wall at Henry's gym has a lower section that is 5,224 centimeters tall and an upper section that is 8,880 centimeters tall. How tall are both sections of the climbing wall in all?
Answer:
14,104 centimeters
Step-by-step explanation:
This equation is asking for the total height of the wall in centimeters. Given that it gives you both sections of the wall, we will want to add them together to find our total.
5,224 + 8,880 = 14,104
Convert the following equation
into slope intercept form.
3x + y = -3
Answer: y = -3x -3
Step-by-step explanation:
y = mx + b
3x + y = -3
y = -3x -3
Answer:
slope intercept form: y=mx+c
*m = gradient
*c = y-intercept
3x + y = -3
y = -3x - 3
find the value of x. m<2= x + 52
Answer: x = - 10
Step-by-step explanation:
a) Linear Pair: 138 + ∠a = 180° --> ∠a = 42°
b) Triangle Sum Theorem: ∠a + 2∠b = 180° --> ∠b = 69°
c) Vertical Angles Theorem: ∠b = ∠c --> ∠c = 69°
d) Congruent sides implies congruent angles: ∠c = ∠d --> ∠d = 69°
∠2) Triangle Sum Theorem: ∠c + ∠d + ∠2 = 180°
69° + 69° + ∠2 = 180°
∠2 = 42
x) m∠2 = 42
x + 52 = 42
x = -10
Maria, Max, Molly, and Mitch are all picking apples at an orchard. The number of apples Max picks is the number of apples Maria picks squared. Molly picks the number of apples that Max and Maria pick combined. Mitch picks the number of apples Molly picks squared plus the number of apples that Maria picks. If Maria picks 3 apples, then how many apples does Mitch pick
Answer:
147
Step-by-step explanation:
Given: Maria=3
Max=3 squared=9
Molly=Max+Maria=9+3=12
Mitch=Molly squared+Maria=144+3=147
Hope this helps!
Solution:
Since Max picks the number of apples that Maria does but squared, then Max picks 3^2=3 * 3=9 apples. Since Molly picks the number of apples that Maria picks plus the number that Max picks, Molly picks 3+9=12 apples. Finally, Mitch picks the number Molly picks squared plus the number Maria picks, so Mitch picks 12^2+3=12 * 12 +3=144+3=147 apples.
The hypotenuse of a 45°-45°-90° triangle measures 18 cm.
A right triangle is shown. The other 2 angle measures are 45 degrees. The length of the hypotenuse is 18 centimeters.
What is the length of one leg of the triangle?
Answer:
Length of leg of triangle = [tex]9\sqrt2\ cm[/tex]
Step-by-step explanation:
We are given a 45°-45°-90° triangle with hypotenuse measuring 18 cm.
Let us assume the following labeling of the diagram, as attached in the answer area.
[tex]\angle XYZ =90^\circ\\\angle YXZ =45^\circ\\\angle ZXY =45^\circ\\\\Hypotenuse, XZ = 18 cm[/tex]
The two angles here are equal to 45° so two sides of the triangle opposite to the equal angles will also be equal to each other i.e. it is an isosceles triangle.
i.e. The sides XY and YZ will be equal.
Let XY = YZ = x cm
It is known that in a right angled triangle, pythagorean theorem holds well.
As per pythagoream theorem:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Height}^{2}[/tex]
Putting the values:
[tex]\text{XZ}^{2} = \text{YZ}^{2} + \text{XY}^{2}\\\Rightarrow 18^2 = x^{2} +x^{2} \\\Rightarrow 2x^{2} = 18^2\\\Rightarrow 2x^{2} = 324\\\Rightarrow x^{2} = 162\\\Rightarrow x = \sqrt{2 \times 81}\\\Rightarrow x = 9\sqrt2\ cm[/tex]
So, the length of leg of triangle = [tex]9\sqrt2\ cm[/tex]
Answer:
answer is B 9 root 2 cm
Step-by-step explanation:
got it right on edg 2020-2021
Anwen walks at an average
speed of 3 km/h for 2 hours
20 minutes. How far has Anwen
walked?
Answer:
7 km
Step-by-step explanation:
2 hours 20 minutes is 2 and 1/3 hours. 3 * 2 and 1/3 = 3 * 7/3 = 7km.
Answer: 7 km
Step-by-step explanation:
In 1 hour, he did 3 km
In 2 hours, he will do 6 km
20 minutes = 20/60 = 1/3
In 20 minutes, he will do 1/3 x 3 = 1 km
So total distance travelled = 7 km
HELP ASAP PLSSSS, I NEED HELP
Answer:
w=6
Step-by-step explanation:
w=6
If you double 5 on the bottom to get 10, you will also have to double 3 on the top.
An easy way you could do this is by cross products. 3(10)=5(w). w=6
Answer:
w = 6
Step-by-step explanation:
3/5 = w/10
Cross multiply.
10 × 3 = 5 × w
Multiply.
30 = 5w
Divide 5 on both sides.
30/5 = w
6 = w
Find the slope of the line passing through (0,-5) and (-4, 7),
Answer:
m = -3
Step-by-step explanation:
The slope formula is y2 - y1 / x2 - x1
7 - -5 = 7 + 5 = 12
-4 - 0 = -4
12 / -4 = -3
I hope this helps :))
Find the product: (50z + 20)(10z + 4) ( 1 ) 12. Find the product: (88a + 80)(8a + 8)
Answer:
1. 60z, 36
2. 96a, 88
Step-by-step explanation:
1.
First, find the like terms for z. (60z)
Second, find the like terms for 20, 4, and 12. (36)
2.
Combine the 88a and 8a (96a)
Then combine 8 plus 80 (88)
Answer:
(50z+20)(10z+4)
=50z(10z+4)+20(10z+4)
=500z²+200z+200z+80
=500z²+400z+80
(88a+80)(8a+8)
=88a(8a+8)+80(8a+8)
=704a²+704a+640a+640
=704a²+1344a+640
Step-by-step explanation:
i hope this will help you:)
Athena is going to draw one marble from a paper sack. Inside the sack, there are 6 blue marbles, 6 black marbles, 3 green marbles, and 2 purple marble. What is the complement to the probability that she will draw a purple marble? A 16/17 B 15/17 C 13/17 D 2/7
Answer:
D. 2/17
Step-by-step explanation:
Add all of the marbles: 6 blue marbles + 6 black marbles + 3 green marbles + 2 purple marbles = 17 marbles altogether.
Since there are 2 purple marbles out of 17 marbles in the paper sack, the complement to the probability that she will draw a purple marble is 2/17.
Your teacher puts four slips of paper in a jar, each with a different shape. Every day,
each person chooses one paper from the jar to determine what activity they get to do
at the end of the day. After choosing, the paper is always returned to the jar.
What is the probability of choosing the paper with a circle on it?
CLEAR
CHECK
%
Answer:
The answer would be a 25% chance of picking the paper with a circle on it
Step-by-step explanation:
Since there are 4 pieces of paper there would be a 25% chance for each 25 x 4 is 100.
Work out the area of this circle with a radius of 6mm. Give your answer in terms of pi
Answer:36π mm^2
Step-by-step explanation:
Formula for area of a circle =
πr^2
r=6mm
π*6^2
π*36
36π mm^2
Answer:
36 π mm²
Step-by-step explanation:
r= 6 mm
A= πr²
A= π* 6²= 36 π mm²
What is the solution to this equation?
7x-2(x - 10) = 40
O A. x= 10
O B. x= 4
O c. x = 12
O D. x= 6
Answer:
B.
Step-by-step explanation:
The quickest and fastest way to do this is to guess and check. Simply plug in the given values one by one into a calc and you should see that x = 4 works.
Answer:
x=4
Step-by-step explanation:
7x-2(x - 10) = 40
Distribute
7x -2x +20 = 40
Combine like terms
5x +20 =40
Subtract 20
5x +20 -20 = 40-20
5x= 20
Divide by 5
5x/5 = 20/5
x =4
A box contains red, purple and green beads in the ratio 4:6:7 There are 1428 more green beads than red beads.
How many green beads are in the box?
Answer:
3332 green beads
Step-by-step explanation:
There are 1428 more green beads than red beads.
There are 3,332 greed beads in the box
Given :
A box contains red, purple and green beads in the ratio 4:6:7
From the given ratio,
number of red beads = 4x
number of purple beads= 6x
number of green beads= 7x
There are 1428 more green beads than red beads.
green beads =1428 + red beads
[tex]7x=1428+4x\\3x=1428\\x=476[/tex]
we know that number of green beads= 7x
number of green beads= [tex]7(476)=3332[/tex]
There are 3,332 greed beads in the box
learn more : brainly.com/question/20318626
In 2007, there were more than 8.14 million cars for sale. The number of cars then decreased by 23% per year. Write an exponential growth or decay model given by the number of c cars over t years after 2007. Use this model to estimate how many cars there were in 2013?
Answer:
In 2013 there were approximately 2.2 million cars for sale.
Step-by-step explanation:
Since the number of cars is decreasing by 23% per year, it is a decay model. This types of decay can be expressed in the following expression:
[tex]cars(x) = cars(2007)*(1 - 0.23)^{x - 2007}[/tex]
Where x is the year, cars(2007) is the number of cars in 2007. Applying this data we have:
[tex]cars(x) = 8.14*(0.77)^{x - 2007}[/tex]
If we want to know the number of cars in 2013, we need to apply that value to x and solve the expression.
[tex]cars(2013) = 8.14*(0.77)^{2013 - 2007}\\cars(2013) = 8.14*(0.77)^{5} = 2.20332[/tex]
In 2013 there were approximately 2.2 million cars for sale.
The model below can be used to find the quotient of 1/2÷1/4. What is the quotient?
Step-by-step explanation:
The quotient is 0.125
I think this should be the answer
Answer:
0.125
Step-by-step explanation:
Which point is located at (4, –2)? On a coordinate plane, point A is 2 units to the left and 4 units up. Point B is 4 units to the right and 2 units down. Point C is 4 units to the left and 2 units up. Point D is 2 units to the right and 4 units down. A B C D
Answer:
Point B is 4 units to the right and 2 units down
Step-by-step explanation:
Since our x is positive, we are going to the right of the x-axis (where positive values lay).
Since our y is negative, we are going down in the y-axis (where negative values lay).
Answer: point B matches (4,-2)
Step-by-step explanation:
Within parentheses, the first number is the x-coordinate. Positive numbers are given without the +sign and they go to the Right. Negative -numbers go to the left.
The second number is the y-coordinate. Positive numbers go up, -numbers that are negative go down.
In this example it will be 4 Right and 2 Down.
Given the line of best fit for a set of data points with the equation y=5x-2.5, what is the residual for the point (3,6)?
========================================================
Explanation:
For the x value x = 3, the observed y value is y = 6 which is from the point (3,6).
The predicted y value is found by plugging x = 3 into the line of best fit equation
y = 5x-2.5
y = 5(3)-2.5
y = 12.5
The residual is the difference between the two y values
e = residual
e = (observed y value) - (predicted y value)
e = 6 - 12.5
e = -6.5
The negative residual tells us the observed y value is smaller than the predicted y value for this given x value.
ANSWER THIS AND ILL FRIEND YOU What is 4(5x+7)/2+5x simplified
Answer:
15x+14Step-by-step explanation:
[tex]4(5x+7)/2+5x\\\\\frac{20x+28}{2} +5x\\Simplify\\ 10x +14+5x\\10x+5x+14\\15x+14[/tex]
If y varies directly with x, and y is 14 when x is 2,
what is the value of x when y is 35?
X =
DONER
nt of
Answer: x = 5
Step-by-step explanation:
14 / 2 = 7
7 * 5 = 35
Same applies for x
2 / 2 = 1
1 * 5 = 5
Please help me out on this!
Answer:
The answer is 22 degrees :)
Step-by-step explanation:
So you know that altogether the right angle forms 90 degrees,
if angles <DAC are 68 degrees you would subtract 90 degrees from 68 degrees because you already have the angle measure for i side now you subtract the total angle from the angle measure you know.
90-68=22 degrees
your answer would be 22 degress :)
3. Nancy and Harry are sliding a stone statue and moving it to a new location in their garden. Nancy is pushing the statue with a force of 120N at a 60° angle to the horizontal and Harry is pulling the statue with a force of 180N at a 40° angle with the horizontal. What is the magnitude of the horizontal force exerted on the statue?
Answer:
197,8879 N.
Step-by-step explanation:
The magnitude of the horizontal force exerted on the statue can be calculated using trigonometric functions.
The question given says that Nancy is pushing the statue with a force of 120 N at a 60° angle to the horizontal and Harry is pulling the statue with a force of 180 N at a 40° angle with the horizontal.
With that information can be calculated the horizontal force exerted on the statue by Nancy, the horizontal force exerted on the statue by Harry and, adding that results, the total horizontal magnitude can be calculated.
The cosine function can be used to calculate the horizontal component of the forces exerted by Nancy and Harry, to determine the horizontal component of the force exerted on the statue.
F= (120 N cos 60°) + (180 N x cos 40°)
F= 197,8879 N
9. Write in point-slope form, slope-intercept form, and standard form an equation that passes
through (- 1, 2) with slope 4.
Answer:
work is shown and pictured