Answer:
4 + x
Step-by-step explanation:
Given that :
Shortest side of tile (s) = 4 inches
Next shortest side (a) = x inches long
Longest side of tile (l ) =?
Since it is modeled in the form of a right angjed triangle ; then we can use Pythagoras rule ;
Length of longest side² = sum of the square of the two other sides
l² = 4² + x²
l² = 16 + x²
Take the square root of both sides
l = 4 + x
Hence, length of longest side = 4 + x
Expression in terms of x that models the longest side of a tile is 4 + x
We have
The shortest side of tile = 4 inches
Other shortest side = x inches
As the tiles is to be in the shape of a right triangle.
So, we can use Pythagoras theorem
Length of longest side² = sum of the square of the two other sides
[tex]a^2= 4^2 + x^2\\a^2 = 16 + x^2[/tex]
Taking the square root on both sides, we get
[tex]a = 4 + x[/tex]
Therefore, length of longest side = 4 + x
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PLEASE HELP ASAP. WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!
Point B is halfway between A and C. The distance from C to D is the same as the distance from D to E, which is the same as the distance from E to F. The area of triangle ACF is 180 cm2. How many square centimeters is the shaded area of triangle BCE?
Answer:
the area of a regular hexagon is A=(3√3/2)a², a is the side length.
so A=(3√3/2)*5.2²=70.25
C is the correct answer
Step-by-step explanation: Hope this helps:)
Answer:
3
Step-by-step explanation: Hope this help u
What is the product of 5 and 2/3
Answer:3 1/3
Step-by-step explanation:5/1 x 2/3=10/3=3 1/3
8
Describe the error in the work shown.
62+ 3+5 x 2
36 +8 x 2
36 + 16
52
Answer:
75
Step-by-step explanation:
you should've done 2 times 5 first but you have done 3+5 first.
I need help ASAP!!
Thanks
Answer:
-|x+2|+2
Step-by-step explanation:
At the book store, you purchased some $3 clearance mystery books and $8
regular-priced science fiction books. How many of each did you buy if you spent a
total of $77?
Answer:
15 of $3 books and 4 of the $8 books
Step-by-step explanation:
15×3= 45
8 × 4= 34
45+32= 77
Solve the system if equations by substitution
Y=4x+9
y=9x+10
please can someone help????
Answer:
I looks like it's A. Hope I helped!
Square P and Square Q are similar squares. The ratio of the side length of Square P to the side length of Square Q is 2:7. if the side length of Square P is 3.5 inches, what is the perimeter of Square Q?
Answer:
3.5 sq
Step-by-step explanation:
Answer:
49 inches
Step-by-step explanation:
Perimeter of square Q is 49 inches.
Let x be the length of side of square P and y be that of square Q.
It is given in the question that :
x\y = 2\7
Also it is given that x=3.5 inches. Hence
3.5/y = 2/7
∴ y=12.25 inches.
Perimeter of square Q is 4y = 4 × 12.25 = 49 inches
In the point (3, 4), which value represents the y-coordinate? *
3
Answer:
4
Step-by-step explanation:
(x,y)
Answer:
4 :)
Step-by-step explanation:
(x,y) so (3,4) would make 4 the y
Write the slope-intercept form of the equation of the line through (-2, 4) with a slope of -4
y = -4x + 4
y = 4x - 4
y = -4x - 4
y = 3x - 4
What is the equation of the line that passes through the point (-8,−7) and has a slope of 11?
Answer:
-7=11*-8+b
-7=-88+b
+88 both sides
81=b
y=11x+81
will mark brainliest
Answer:
3rd answer
Step-by-step explanation:
i think
PLEASE ANSWER ASAAP TODAY WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER.
This graph shows the temperature on a winter night over time.
How many °F does the temperature decrease by every 1 hr?
Enter your answer in the box.
____ °F
A student has a container with a volume of 0.5 liter.She estimates the volume to be 0.4 liter. By what percent is the student's estimate off?
Answer:
20%
hope it helps!
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Merry Christmas
Good day
List three different combinations of coins, each with a value of 30% of a dollar.
heres another one.
for brainliest
Answer:
Max made a mistake in step 5.
He should have used division instead of multiplication.
Step-by-step explanation:
In step #5, he made the mistake of multiply 5/6 by 5/6. The reason why this doesn't work is because y is not a full y. When there isn't a number beside a variable, it is implied that it is 1y. To solve for y, you need 1y or else results or inaccurate.
In reality, 5/6 * 5/6 is equal to 25/36. If you divided 5/6 by 5/6, it is equal to 1, which makes y a full y.
Answer:
he made a lot of mistakes, but i'd say he used division instead of multiplication in step 5
(but the biggest mistake was adding 1/6 to both sides instead of multiplying by it)
Step-by-step explanation:
Just need some help
Step-by-step explanation:
D
a triangle is 180°
180-126= 54
Now you have:
56+54+X=180
110+X=180
-110 -110
X=70
Answer:
70 wanna know why add the sides then divide
Step-by-step explanation:
What is the percent of change if 18 is increased to 45? Round your answer to the
nearest percent.
THE PERCENT OF CHANGE IS
% INCREASE
Answer:
150%
Step-by-step explanation:
% change = change/original x 100
45-18 = 27
27/18 x 100 = 150
The percent of change if 18 is increased to 45, to the nearest percent, is calculated as: 150%.
How to Calculate the Percent of Change?To calculate the percent of change when 18 is increased to 45, we can use the formula:
Percent of change = ((New value - Initial value) / Initial value) * 100
Let's plug in the values and calculate the percent of change:
Percent of change = ((45 - 18) / 18) * 100
Percent of change = (27 / 18) * 100
Percent of change = 1.5 * 100
Percent of change = 150
Therefore, the percent of change is 150%, indicating a 150% increase.
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The machine can produce 168 leaflets in 8 minutes. How many can it produce in an hour
Answer:
1260
Step-by-step explanation:
168 ÷ 8= 21
21 x 60 = 1260
Have a good day can I get a brainiest if right please? :3 Byeee!
What is the common difference of the arithmetic sequence? 2,5,8,11,14...
The common difference is 3.
14-11=3
11-8=3
8-5=3
5-2=3
You can see here that the difference between two consecutive numbers in this sequence are all 3.
If 2 is divided into pieces that are each 1/7 of a whole, how many pieces are there?
Answer:
There are 14 pieces in 2 wholes.
Step-by-step explanation:
In order to solve this question we need to understand that "a whole" is another way of saying 1. So then this question askes the following, "How much does [tex]\frac{1}{7}[/tex] fit into 2. In order to find that out we just have to divide 2 by [tex]\frac{1}{7}[/tex] and so we get.....
2 / [tex]\frac{1}{7}[/tex] = 14
Plsssssssssssssssssssssssssssssssssssss
Answer:
(-4, 3) 2nd quadrant.
Step-by-step explanation:
For $7.90, you purchased 8 items (pens and highlighters) from a local bookstore. Each highlighter cost $1.09 and each pen cost $.68. Write a system of equations that can be used to find how many of each you bought.
A. 8p+8h=7.90 and 1.09+.68h=7.90
B. h+p=8 and .68h+ 1.09p=7.90
C. p+h=7.90 and .68p+1.09h=8
D. h+p= and 1.09h+.68=7.90
Answer:
D, i believe it should be h+p=8 and 1.09h + 0.68p = 7.90
Step-by-step explanation:
purchased 8 items in total; therefore, h+p=8
cost of each item, multiplied by quantity, equals grand total of $7.90
Cut out the shapes of NETS of Cube, Cuboid and Cylinder as per the dimensions given below and find its Total Surface Area and Lateral Surface Area Dimensions of Cube = 5cm x 5cm x 5cm Dimensions of Cuboid = Length=10cm, Breadth=5cm, Height = 4cm Dimensions of Cylinder= Diameter 7cm and height 10cm
Answer:
a. i. 150 cm³ ii. 150 cm³
b. i. 220 cm³ ii. 120 cm³
c. i. 297 cm² ii. 220 cm²
Step-by-step explanation:
a. For the cube
Dimensions of Cube = 5cm x 5cm x 5cm
Length of side = 5 cm
i. Total surface area A = 6L² where L = length of side = 5 cm
So, A = 6 × (5 cm)²
= 6 × 25 cm³
= 150 cm³
ii. Lateral surface area A' = 4L²
= 4 × (5cm)²
= 4 × 25 cm²
= 100 cm²
b. For the cuboid
Dimensions of Cuboid = Length, l = 10cm, Breadth, b = 5cm, Height, h = 4cm
i. Total surface area A = 2(lb + lh + hb)
= 2(10 cm × 5 cm + 10 cm × 4 cm + 4 cm × 5 cm)
= 2(50 cm² + 40 cm² + 20 cm²)
= 2(110 cm²)
= 220 cm²
ii. Lateral surface area A' = 2(lh + hb)
= 2h(l + b)
= 2 × 4 cm (10 cm + 5 cm)
= 8 cm × 15 cm
= 120 cm²
c. For the cylinder
Dimensions of Cylinder = Diameter, d = 7cm and height, h = 10cm
i. Total surface area, A = 2πr(r + h) where r = radius = d/2
A = πd(d/2 + h)
= 22/7 × 7 cm(7 cm/2 + 10 cm)
= 22cm(3.5 cm + 10 cm)
= 22cm(13.5 cm)
= 297 cm²
ii. Lateral surface area A = 2πrh
= πdh
= 22/7 × 7 cm × 10 cm
= 22 cm × 10 cm
= 220 cm²
-7 ≤ x+2 / 4
solve pleeeeeeeeeeeeeeaaaaaaaaaaaaaaseeeeeeeeeeeeeeeeeeee
Answer:
x ≥ 15/2 im pretty sure
Step-by-step explanation:
reduce the fraction: -7 ≤ x + 1/2. move the terms: -x ≤ 1/2 + 7 calculate the sum: -x ≤ 1/2 + 7 = -x ≤ 15/2 and change the signs: x ≥- 15/2.
Please asap maths homework
Answer:
77 red marbles
Step-by-step explanation:
the bag has R and B marbles
P(B)=1/12 = number of blue /total number of marbles
so 1/12=?/84
in the bag must be 84/12=7 marbles that are blue
84-7=77 red marbles
Round 431,857 to the nearest ten thousand
Answer:
i don' think you can
Step-by-step explanation:
find the measure of each angle acute angle in a right triangle where the measure of one acute angle is twice the difference of the measure of the other acute angle and 12
Answer:
The measures of the acute angles are 38 and 52 degrees.
Step-by-step explanation:
In a right triangle, there are three angles, a right angle and two acute angles. In every traingle, the sum of the measures of the angles is 180 degrees. Let's call the acute angles [tex]a[/tex] and [tex]b[/tex].
[tex]a + b +90 = 180[/tex]
The problem also says that one angle is twice the difference of the other angle and 12. That would look like this:
[tex]a = 2(b-12)[/tex]
Now we have two equations. If we simplify them, we get these:
[tex]\left \{ {{a=90-b} \atop {a=2b-24}} \right.[/tex]
Now you can substitute [tex]a[/tex] in the first equation for [tex]a[/tex] in the second equation
[tex]90-b=2b-24[/tex]
Add [tex]b[/tex] to both sides of the equation
[tex]90 = 3b-24[/tex]
Add [tex]24[/tex] to both sides
[tex]114 = 3b[/tex]
Divide both sides by 3
[tex]38 = b[/tex]
Now, you can substitute [tex]38[/tex] for [tex]b[/tex] in the first equation and simplify.
[tex]a = 90-38[/tex]
[tex]a=52[/tex]
Therefore,
[tex]a=52[/tex], and [tex]b=38[/tex]
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The value of the angles are 38° and 52° respectively
Let the acute angles be represented by a and b.
Based in the information given,
a = 2(b - 12)
a = 2b - 24.
Note that the angle in an acute angle equals to 90°.
Therefore,
a = 90 - b.
a = 2b - 24
Equate the equations together
90 - b = 2b - 24
2b + b = 90 + 24
3b = 114
b = 114/3
b = 38
Therefore, a will be:
= 90° - 38° = 52°
The value of the angles are 38° and 52° respectively.
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0.56 divided by 9. I'm just wondering so I can answer my sister
Answer:
0.062 or in fraction form 14/225
Step-by-step explanation:
Answer:
0.062222222
Step-by-step explanation:
Multiply. What is the value of the second partial product?
26 × 107
Answer:
Below
Step-by-step explanation:
(20*100)+(20*7)+(100*6)+(7*6)
