find the length of the missing side in the triangle, give answer in 1 decimal place

Answer:

Step-by-step explanation:

Find what you know.

Perimeter = 64cm

Length = width*3 + 8cm

Width = unknown (use w)

Perimeter of a rectangle formula is:

P = 2*L + 2*W or P = 2(L + W)

We know P and we have a formula for L

64cm = 2[(w*3 + 8cm) + w]

64cm = 2(3w + 8cm) + 2w

64cm = 6w + 16cm + 2w

Combine like terms:

64cm = 8w + 16cm

Subtract 16cm from both sides:

64cm - 16cm = 8w

48cm = 8w

Divide both sides by 8 to isolate the variable.

48cm/8 = w

6cm = w or swap them and w = 6cm

Now take the formula for perimeter again and plug in the value for width

64cm(P) = 2(L + 6cm(W))

64cm = 2L + 12cm

Subtract 12cm from both sides:

64cm - 12cm = 2L

52cm = 2L

Divide both sides by 2 to isolate the variable:

52cm/2 = L

26cm = L or swap them and L = 26cm

Rectangle is 26cm in length and 6cm in width.  There is no height variable in a 2D rectangle, but sometimes (rarely) width is referred to as height. If this is a 3D box, than the height is equal to the width, in which case the information given might be slightly misleading.

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Donald S. answered • 01/06/15

TUTOR  New to Wyzant

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The perimeter = 2l + 2w

l = 3w+8

2l+2w = 64

2(3w+8)+2w = 64

6w+2w+16 = 64

8w + 16 = 64

8w = 48

w = 6 so l = 3(6)+8 = 26

1)3 over 4

2)graves market

3)b+11=15

15-11

b=4

Step-by-step explanation:

1) 1 over 4 divided by 1 over 3=1 over 4 × 3=3 over 4

2)graves markets unit rate=75/12

6

hank's stores unit rate=32/5

6.4

therfore,answer should be graves market

3) b stands for the number of baskets and she has already made 11 baskets so just a quick equation would be this.☝️

Answer:

no ( i think)

Step-by-step explanation:

so if i remember how to do this ratio and proportion.. ummm let me think of it as a fraction soo

3/8 = 15/45 ?

to get 15 (starting at 3) you have to multiply 5, so your guess is to multiply 8 to 5

it equals 40 not 45 so it is wrong and it is not equivalent

No.

[tex]15/3 = 5\\[/tex]

Use the 5 and multiply it by 3:8

[tex]5(3:8) = 15: 40[/tex]

It is equivalent to 15: 40.

[tex]15: 45 \neq 15: 40[/tex]

Work Shown:

[tex]\frac{\sin(a)}{a}=\frac{\sin(b)}{b}\\\\\frac{1}{10}=\frac{\sin(b)}{9}\\\\\frac{\sin(b)}{9} = \frac{1}{10}\\\\\sin(b) = 9*\frac{1}{10}\\\\\sin(b) = \frac{9}{10}\\\\[/tex]

For more info, check out the law of sines.

Answer:

x = -4, y = -2

Step-by-step explanation:

substitute for y

2x - 5(x + 2) = 2

distribute -5

2x -5x - 10 = 2

solve

-3x - 10 = 2

add 10 on both sides

-3x = 12

divide by -3

x = -4

now substitute for x in the equation y = x + 2

y = -4 + 2

y = -2

Answer:
Volume of cylinder = 2712.96 mm³

Step-by-step explanation:
Radius (r) = 12 mm
Height (h) = 6 mm
π = 3.14

Volume of cylinder = πr²h
= 3.14 × (12)² × (6)
= 2712.96 mm³

Hope it helps ⚜

With a rhombus all 4 sides are the same length.

since one side is given as 25 we know the other 3 sides must also equal 25.

8z + 9 = 25

8z = 16

Z = 2

y-3 = 25

Y = 28

2x + 3 = 25

2x = 22

X = 11

answer: x = 11, y = 28 and z = 2

We know the figure is rhombus ; therefore all sides are equal !

Part one :-

To find value of y

→y - 3 = 25

→y = 25 + 3

→y = 28

Part two:-

To find value of x

→2x + 3 = 25

→2x = 25 - 3

→2x = 22

→x = 22/2

→x = (11 × 2)/2

→x = 11/1

→x = 11

Part three:-

To find value of z.

→8z + 9 = 25

→8z = 25 - 9

→8z = 16

→8z = 16/8

→z =(8 × 2)/8

→z = 2/1

→z = 2

Properties of rhombus :-

Formulas related to rhombus :-

Area

Perimeter

Answer:

first number = 2

second number =10

Step-by-step explanation:

here's how you gonna do it

we will use simultaneous equations because there are 2 conditions about the same two numbers ..

X for 1st number ... Y for the 2nd

X + Y = 12 (1)

5X + 2Y = 30 (2)

we have to make one of the variables equalled either by multiplying x in (1) by 5 ..or Y by 2 ...lets do the 2nd option

2X + 2Y = 24 lets call it (1)*

5X + 2Y = 30 (2)

if both 2Y are positive or negative.. we'll use subtraction (if both 2Y were different one's positive and other’s negative we will use addition)

(2) - (1)*

3X = 6 then divide both sides by 3

X = 2

now lets find the other value using equation (1)

2 + Y = 12

then Y = 10

Answer:

Slope is (7/4)

Step-by-step explanation:

Let's use the point-slope format of a straight line equation:

y − y1 = m(x − x1)

(x, y) is (-3,-8)

(x1, y1) is (5,6)

y − y1 = m(x − x1)

-8 − (6)  = m(-3 − 5)

-14  = m(-8)

m = (14/8 or (7/4)

The slope  is (7/4)

b can be calculated by enter on e of the points in y = (7/4)x+ b and solve for b:

y = (7/4)x+ b

6 = (7/4)5+ b

6 = 35/4 + b

b = -2.75

See attached image.

Answer:Richter scale measures intensity of earthquake as power of 10. The intensity of the Chilean earthquake( year 1960) was approx 316.23 times greater than the earthquake in Haiti (year 2010)How to measure the greatness of earthquakes from Richter scale's intensities?Suppose that the first measured earthquake was of  intensity (on Richter scale)Suppose the second measured earthquake was of   intensity(on Richter scale).It is a fact that each unit of the the Richter scale measurement increases as the power of 10.So if b = a + 1, then the second earthquake was 10 times greater than the first earthquake.If we have b = a + x, then we have:Second earthquake was  times greater than the first earthquake.As it was given that the earthquake in Haiti was of 7.0 intensity on Richter scale, and that the Chilean earthquake was about 9.5 intensity on Richter scaleThe difference is 9.5 - 7 = 2.5

Step-by-step explanation:

Answer:

Please post your question.

Step-by-step explanation:

I can help! But you either need to comment your question or create another post.

Answer:

x = 112°

Step-by-step explanation:

Isosceles triangles always have 2 congruent base angles.

Working our way from right to left, we know the base angles are 17° each. Using the sum of interior angles of a triangle, we can find our 3rd angle.

180 - 17 - 17 = 146°

Now we can find the first base angle of the next triangle over because the 146 is part of a supplementary angle, meaning it will add up to 180.

180 - 146 = 34°

Since this is one of the base angles, label the other base and use the sum of interior angles of a triangle again.

180 - 34 - 34 = 112°

Another supplementary angle though this time it's formed from 3 angles.

180 - 112 - 17 = 51°

Label the other base and use the sum of interior angles of a triangle.

180 - 51 - 51 = 78°

3 angle supplementary angle.

180 - 78 - 34 = 68°

Label the other base. Since this is our last supplementary angle formed with only 2 angles, we can subtract 68 from 180 to get the value of x.

180 - 68 = 112°

Hope this helps~!

Answer:

first statement

Step-by-step explanation:

The graph opens up and the vertex is a maximum

Answer:

y= -3/2x - 5

Step-by-step explanation:

Substitute (-6,4) into equation:

y = -3/2x + c

4 = -3/2 x -6 + c

4 = 9 + c

-9

-5 = c

Hope this helps!

Answer:

1600 boys, 2400 girls

Step-by-step explanation:

4000*4/10=400*4=1600

100-40=60

4000*6/10=400*6=2400

Answer:

780,000,000

1,500,000,000

15625

Step-by-step explanation:

[tex]10^{8}[/tex] = 100,000,000

7.8 x 100,000,000 = 780,000,000

[tex]10^{9}[/tex] = 1,000,000,000

1.5 x 1,000,000,000 = 1,500,000,000

[tex]5^{0}[/tex] = 1

([tex]5^{3}[/tex])² = [tex]5^{3}[/tex] x  [tex]5^{3}[/tex] = 125 x 125 = 15625

15625 x 1 = 15625

The wind is blowing at the rate of 4 miles per hour

The formula for calculating speed is expressed as:

Speed = Distance/Time

Given the following parameters

Speed of airplane = 18 miles per hour

Speed in wind = 2.2 * 10  = 22 miles/hr

Speed of the wind = 22 - 18

Speed of the wind = 4mi/hr

Hence the wind is blowing at the rate of 4 miles per hour

Learn more on speed here: https://brainly.com/question/4931057

1/4 x 12

1x 3 (12 has been divided from the number 3)

3

Answer:

3

Step-by-step explanation:

Turn 12 into a fraction:

[tex]\frac{1}{4}*\frac{12}{1}[/tex]

[tex]=\frac{12}{4}[/tex]

Simplify

[tex]=3[/tex]

Answer = 3

[RevyBreeze]

Answer:

X=25

Step-by-step explanation:

Since one side equals 150 then the other also equals 150

150-50=100

Divide 100 by 4 since you have 4x

100/4=25

4(25)+50=150

If the company spends 100 pounds on advertising, it would spend 0.45 x 100 = 45 pounds on the website.

So, we can write the ratio spent on advertising to the amount spent on its website as 100:45

If we divide both numbers by a same number, we get an equivalent ratio (simplification)

100:45 = (100:5):(45:5) = 20:9

So, the ratio in its simplest form is 20:9

Answer:

The ratio of the circumference to the diameter is equal to pi

Step-by-step explanation:

For circles

C = pi d   ( The circumference is equal to  the diameter times pi)

Divide each side by d

C / d = pi   The ratio of the circumference to the diameter is equal to pi

Answer:

The ratio of the circumference to the diameter is equal to pi

Answer:

-2

Step-by-step explanation:

When 2 lines are parallel that means they have the same slope but diffrent y-intercepts. You can also double check this by counting what the slope is on the graph itself, the red line's equation is y=-2x + 2 while the green line's in y = -2x - 4.

Hope this helps!! :)

(Sorry if this is a bit in-depth, I'm just really passionate about people understanding slope)

Answer:

D. 1 square/ 4 meters = 12 square/48 meters

Step-by-step explanation:

You scale down by simplifying the fraction of 12/48. You would divide both 12 and 48 by 12, since it is the highest divisor. And once you divide the two you get 1/4.

Answer:

a42

Step-by-step explanation:

u add multiply and divide

Answer: 3/8 I think or just multiply and divide 0.375 by 1000.

Step-by-step explanation:

Let the numbers be: x and y

Now, we will set up the equation with the variables and given info..

[tex]x \times y = 36 \\ x + y = - 15[/tex]

Solve using the substitution method

[tex]x \times y = 36 \\ x = - 15 - y[/tex]

[tex]( - 15 - y)\times y = 36[/tex]

[tex]y = - 12[/tex]

[tex]x = - 15 - ( - 12)[/tex]

[tex]x = - 3[/tex]

➪ Therefore, The two numbers are: -12 and -3

Answer:3

Step-by-step explanation:

250-3= 247,

If each classmate has to get a whole cookie then

247/3= 3.38

You cannot give more than you have (she can’t give 3.38 cookies because those aren’t whole cookies, she cannot also give 4 cookies because she doesn’t have enough to give 4 one person will probably get only 3 or something) so the only option is to give 3 cookies to each classmate.

Answer:

Step-by-step explanation:

It is choice B.

If you notice the little square at the bottom of the angle, that means that the angle is ninety degrees.

So 5x+30 + 5x = 90

Hope that helps!