The area of a triangle is 30 square inches. What is the length of the base if the height is 6 centimeters?

The Area Of A Triangle Is 30 Square Inches. What Is The Length Of The Base If The Height Is 6 Centimeters?

Answers

Answer 1

Answer:

x = 10 cm

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = x, h = 6 and A = 30 , then

[tex]\frac{1}{2}[/tex] × 6 × x = 30

3x = 30 ( divide both sides by 3 )

x = 10

Answer 2

The length of the base is 25.4 cm.

A triangle is a 3-sided polygon. The sum of angles in a triangle is 180 degrees.

Types of triangle

Equilateral triangle Scalene triangle Isosceles triangleRight triangle

Length of the base of a triangle = (2 x area) / height

1 inch = 2.54 cm

30 x 2.54 = 76.20cm

(2 x 76.20) / 6 = 25.4 cm

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Related Questions

Determine the vertical asymptotes and holes for the graph of the equation below.

y=[tex]\frac{x+7}{x^2+8x+7}[/tex]

Please show all steps to solve!

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Since x ² + 8x + 7 = (x + 7) (x + 1), we have for x ≠ -7,

y = (x + 7) / (x ² + 8x + 7) = 1/(x + 1)

so y is undefined at x = -1, indicating a vertical asymptote, and there is a hole/removable discontinuity at x = -7. Then the answer is D.

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Answer: She had 22 incorrect answers

Step-by-step explanation: You divide 44 by 2.

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In ΔMNO, the measure of ∠O=90°, the measure of ∠N=48°, and NO = 73 feet. Find the length of MN to the nearest tenth of a foot.

Answers

Answer:109.1 feet

Step-by-step explanation:

What function uses the ADJACENT and the HYPOTENUSE?

\text{SOH-CAH-TOA}

SOH-CAH-TOA

\cos N = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{73}{x}

cosN=

hypotenuse

adjacent

=

x

73

\cos 48=\frac{73}{x}

cos48=

x

73

x\cos 48=73

xcos48=73

Cross multiply.

\frac{x\cos 48}{\cos 48}=\frac{73}{\cos 48}

cos48

xcos48

=

cos48

73

Divide each side by cos 48.

x=\frac{73}{\cos 48}=109.0968\approx 109.1\text{ feet}

x=

cos48

73

=109.0968≈109.1 feet

Type into calculator and roundto the nearest tenth of a foot.

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Which of the following equations will produce the graph shown below?

Answers

Answer:

A. 6x^{2}+6y^{2}=144

Step-by-step explanation:

Can a triangle have two obtuse angles? please Justify your answer.

Answers

Answer:

No, a triangle cannot have 2 obtuse angles. The definition of an obtuse angle is an angle with a measure that is greater than 90°.

Step-by-step explanation:

Answer:

No, because if the triangle have two obtuse angles i.e., more than 90° angle, then the sum of all three angles of a triangle will not be equal to 180°.

Step-by-step explanation:

Sarah went to lunch with 4 friends. The total bill was $125.68 and they had coupon for $20 off. How much did each person pay?

Answers

$21.13 you do $125.68-$20=... then divide the answer ___ /by 5!

If p:q = 34 :2 and p:r = 13 : 12, find the ratio of p:q:r​

Answers

Answer:

p:q:r = ?

p:q = 13/2

p:r = 34/12

= 17/6

p:q:r = 221:34:78

Step-by-step explanation:

quotient 2 divided by 2 3

Answers

Answer: 11.5

Step-by-step explanation:

ANSWER FAST PLEASE

Which of the following is not an example of a Mixed Number?
A. 5 1/4
B. -3.85
C. 16/8
D. 27 2/3

Answers

Answer:16/8

Step-by-step explanation:

2/3x-3=19. Help? solve X

Answers

Answer:

x=33

Step-by-step explanation:

Answer: x=33

Step-by-step explanation:

2/3x-3=19

     +3  +3

2/3x=22

Divide by 2/3 on each side

x=33

Two business women are having lunch at a restaurant. Their bill came to $47.85, and they want to leave an 18% tip. What is the amount of the tip?

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Answer: $8.61
Explanation: 47.85 times .18

7. Find the missing length. A. 36 B. 48 C. 49 D. 80 ​

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Answer:

A. 36

Step-by-step explanation:

100-64= 36

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Point form:(1,7) equation form: x=1,y=7

A teacher is planning a class trip to the aquarium. The aquarium requires 2
chaperones for every 15 students. The teacher plans accordingly and orders a
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Use a table.
(Fill rows as needed.)
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Answers

Answer:

The aquarium requires 2 chaperones for every 15 students. The teacher plans accordingly and orders a total of 85 tickets. How many tickets are for chaperones, ...

Step-by-step explanation:

Kan buys 35pound of mixed nuts for $ 3.50. At this rate, how many pounds of mixed nuts can he buys for $15?

Answers

Answer:

i think its 150 pounds if i wrong im super sorry

Step-by-step explanation:

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What is the area, in square of the parallelogram below?

Answers

Answer:

35 square units

Step-by-step explanation:

Area of the parallelogram = 7*5 = 35 square units

which function is shown in the table? (see image)

Answers

A is the answer the answers of f(x) are being multiplied by 3


HELP PLZ FAST!!!!!! 100 POINTS PLZ HELP!!!!!!
An equivalent ratio to the tape diagram shown is __ to __.

Chose A: 8, 9, 7

Chose B: 20, 16, 17

Answers

Answer:

A. 8B. 16

Step-by-step explanation:

The ratio as per diagram:

2 to 4

Equivalent ratio from the options is:

8 to 16

There are no matches for 9, 7, 20, 17

Answer:

Equivlent ratio is 8:16

Step-by-step explanation:

8:16 can be further simplified into 2:4 but 8:16 is correct choice.

The list price on a winter coat is $84. It is being sold at a 23% discount. What is the sale price of the coat?
A)$64.68
B)$61.32
C)$47.48
D)$22.68

Answers

Answer:

A) $64.68

Step-by-step explanation:

Note that 23% = 23/100 = 0.23

First, multiply $84 with 0.23:

84 x 0.23 = 19.32

Next, subtract 19.32 from the total cost:

84 - 19.32 = 64.68

A) $64.68 is your answer.

~

Answer:

A)$64.68

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Can someone help me pls

Answers

Answer: Angle B is 27 degrees

Step-by-step explanation:

All angles in a triangle must add up to 180 degrees so if two angles 63 and 90 add up to 153 then the last number added to 153 (x+153)=180 so 27 degrees

Answer:

Angle B is 27°

Step-by-step explanation:

90°-63°=27°

please help
ill mark as the brainliest

Answers

180-130=50 so we know y=50 degrees now we need to add 50+68=118 degrees we know that all angles in a triangle add up to 180 degrees so we subtract 118 from 180 which gives us 62 so x=62 degrees

HELP PLEASE!!!
This meal costs $14.00.
A 7% sales tax is applied, followed by an automatic tip of 18%.
What is the total with tax and tip?

Answers

Answer:

17.6764$

Step-by-step explanation:

14 * 1.07 = 14.98$

14.98$ * 1.18 = 17.6764$

The tax is $0.98 and tip is $2.52

what is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Original Cost = $14

Tax = 7%

So, Price after tax = 14 + 7% of 14

                              = 14 + 0.98

                              = $14.98

and, after 18% tip = 14 + 18% of 14

                             = $16.52

Hence, the tax is $0.98 and tip is $2.52

Learn more about Unitary Method here:

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Annabelle has 56 1 cm³ what are the dimensions of the rectangle Langer prism Annabelle could build with all the cubes

Answers

Answer:

The six possible rectangular prisms Anabelle could build are;

W = 1,  B = 1,  L = 56

W = 1, B = 2,  L = 28

W = 1,  B = 4,  L = 14

W = 2,  B = 2,  L = 14

W  = 1,  B = 7,  L = 8

W = 2,  B = 4,  L = 7

Step-by-step explanation:

The number 1 cm³ Annabelle has = 56

The dimensions volume of the cubes Annabelle could build with the 1 cm³ = 56 cm³

The volume of rectangular prism, V = L × B × W

∴ For the rectangular prism, V = 56 cm³ = L × B × W

Therefore, the possible dimensions of the prism are three factors of 56, including;

1, 2, 4, 7, 8, 14, 28, 56

The combination of 3 factors of 56 that can be multiplied together to give 56 and therefore, the possible rectangular prisms includes;

  W × L × B = A

1) 1 × 1 × 56 = 56

2) 1 × 2 × 28 = 56

3) 1 × 4 × 14 = 56

4) 2 × 2 × 14 = 56

5) 1 × 7 × 8 = 56

6) 2 × 4 × 7 = 56

There are therefore 6 possible rectangular prisms Annabelle could build

please help asap!!!!

Answers

Answer:

2,145.612

Step-by-step explanation:

Read the file upload!

1.

Write the slope-intercept form of the equation for the line.


A. y = [tex]\frac{1}{2}[/tex]x - 1

B. y = – 2x – 1

C. y = 2x – 1

D. y = [tex]\frac{1}{2}[/tex]x + 1

Answers

Answer:  Here is the answers after I graphed it

1: The equation of the line that has a slope of 1 and a y-intercept of -1 is:

y=1x-1.

...............................................................................................................................................

2: The equation of the line that has a slope of 1 and a y-intercept of -3 is:

y=1x-3.

Step-by-step explanation:  I graphed it

1: You want to find the equation for a line that has a slope of 1 and a y-intercept of -1.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

All you really have to do here is

replace m with 1, which is the slope you gave, and

replace b with -1, the y-intercept you gave,

in the equation y=mx+b.

The equation of the line that has a slope of 1 and a y-intercept of -1 is:

y=1x-1.

...............................................................................................................................................

2: You want to find the equation for a line that has a slope of 1 and a y-intercept of -3.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

All you really have to do here is

replace m with 1, which is the slope you gave, and

replace b with -3, the y-intercept you gave,

in the equation y=mx+b.

The equation of the line that has a slope of 1 and a y-intercept of -3 is:

y=1x-3.

PLEASE HELP ME OMG I WILL LOVE U FOREVER

Answers

Answer:

Extreme points of [tex](3-x)^{2}[/tex]  (6-x) : Minimum (3,0), Maximum (5, 4)

I hope that helps hshshs :)

x + 2y = 10
-6x + 5y = -9
- what is the solution using substitution

Answers

X+2Y=10
X=10-2Y

-6X+5Y= -9
-6(10-2Y)+5Y= -9
-60+12Y+5Y= -9
17Y= -9+60
17Y=51
Y=3

X=10-2Y
X=10-2•3
X=10-6
X=4

A car drives 120 miles at a speed of 40 mph. How long did it take?

Answers

Answer:

3 hours

Step-by-step explanation:

Answer:

3 hours

Step-by-step explanation:

120/40=3

Plz, answer this question plz!

Answers

Answer:d

d

Step-by-step explanation:

Answer: C. 2/3

Step-by-step explanation:

Take the number of times the coin was flipped on heads (12)

and the total number of times the coin was flipped (18)

make it a fraction

12/18

reduce the fraction by dividing both numbers by 6

2/3

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