The area of a triangle is 30 square inches. What is the length of the base if the height is 6 centimeters?
Answers
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
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 triangleLength 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
A similar question was answered here: https://brainly.com/question/11952845
Related Questions
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.
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
total of 85 tickets. How many tickets are for chaperones, and how many are for
students? Use the table to help you solve.
Use a table.
(Fill rows as needed.)
kids
chaperones
total
15
2
17
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:
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:
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
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:
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=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
please help
ill mark as the brainliest
Answers
Jenny earned 100 of a possible 144 points on a test. She lost 2 points for each incorrect answer. How
many incorrect answers did she have?
The equation is
There are
incorrect answers.
Answers
Answer: She had 22 incorrect answers
Step-by-step explanation: You divide 44 by 2.
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:
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:
https://brainly.com/question/22056199
#SPJ2
PLS HELP
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
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.
which function is shown in the table? (see image)
Answers
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
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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:
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
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?
Answers
Explanation: 47.85 times .18
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. 16Step-by-step explanation:
The ratio as per diagram:
2 to 4Equivalent ratio from the options is:
8 to 16There 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.
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
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°
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
quotient 2 divided by 2 3
Answers
Answer: 11.5
Step-by-step explanation:
I need to show my work ASAP
Answers
Answer:
intergers
square root of 14 = 3.74
integer is 4
nearest tenth is 3.7
square root of 90 =9.49
interger = 9
nearest tenth =9.5
square root of 175 =13.23
interger =13
nearest tenth =13.2
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
PLEASE HELP MEEEE
Which of the following equations will produce the graph shown below?
Answers
Answer:
A. 6x^{2}+6y^{2}=144
Step-by-step explanation:
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!
Answers
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.
please help asap!!!!
Answers
Answer:
2,145.612
Step-by-step explanation:
Read the file upload!
7. Find the missing length. A. 36 B. 48 C. 49 D. 80
Answers
Answer:
A. 36
Step-by-step explanation:
100-64= 36
Can someone help me on this plzzz