Find the area of triangle ABC.
Give your answer correct to 1 decimal place.
А
9 cm
C
10 cm
B
8cm
The area of the triangle ABC is 34.2 square centimeters
How to determine the triangle area?The complete question is in the image
Start by calculating the semi-perimeter using:
s = 0.5 * (a + b + c)
This gives
s = 0.5 * (9 + 10 + 8)
Evaluate
s = 13.5
The area is then calculated as:
[tex]A = \sqrt{s * (s - a) * (s - b) * (s - c)[/tex]
This gives
[tex]A = \sqrt{13.5 * (13.5 - 9) * (13.5 - 10) * (13.5 - 8)[/tex]
Evaluate
A = 34.2
Hence, the area of the triangle ABC is 34.2 square centimeters
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Emily is entering a bicycle race for charity. Her mother pledges $0.60 for every 0.5 mile she bikes. If Emily bikes 10 miles, how much will her mother donate?
(6x^2−5x)−(4x^2−3x+4)
Answer:
2 • (x + 1) • (x - 2)
Step-by-step explanation:
2 times (x + 1) times (x - 2)
Help!!! I give CROWN T-T
Answer:
120, remember the angles have to add up to 180
Step-by-step explanation:
Answer:
60 because 30+30=60 and a triangle is 180° so 180-60= 120 and it's a line so 180-120=60 ifykyk
The ratio of yellow sweets to purple sweets is 5:4.
Alice eats 3 purple sweets and the ratio is now 5:3.
Work out how many sweets there were at the beginning.
Answer:
27
Step-by-step explanation:
The ratio of yellow : purple = 5 : 4 = 5x : 4x ( x is a multiplier )
After Alice eats 3 purple sweets, then ratio is
5 : 3 = 5x : 4x - 3
Express the ratio in fractional form, that is
[tex]\frac{5}{3}[/tex] = [tex]\frac{5x}{4x-3}[/tex] ( cross- multiply )
5(4x - 3) = 15x
20x - 15 = 15x ( subtract 15x from both sides )
5x - 15 = 0 ( add 15 to both sides )
5x = 15 ( divide both sides by 5 )
x = 3
Then
number of sweets at beginning = 5x + 4x = 9x = 9(3) = 27
Help me with this ASAP
Answer:
The slope is 3To graph it you should put a point at any of the points that are in the table. Some easy ones are (0,0) and (2,6)Step-by-step explanation:
To find the slope you need to follow the formula shown below.
Slope (m) = ΔY/ΔX
Now solve
ΔY = 6 – 0 = 6
ΔX = 2 – 0 = 2
Write as a fraction
6/2
Convert to a number
6/2 = 3
And you have your slope. Now you just have to plot the points on the graph. As I said before, you can use any two points from the table.
James uses 5 1/2 bags of soil to fill 1/4 of his garden. How many bags will James use to fill his entire garden?
Answer:
22 bags
Step-by-step explanation:
Multiply 5 1/2 by 4 and you'll get 22
Answer:
22 bags
Step-by-step explanation:
5 1/2 for 1/4....4/4 for the whole garden. So you can multiply 5 1/2 times 4
Mark bought a car for x dollars. One year later the car was 0.85x. What was the percent decrease.
Answer:
[tex]Let~the~percentage~decrease~be~equal~to~y.\\Then,\\0.85x = x-\frac{y}{100}(x)\\or, 0.85x = x-0.01xy\\or, 0.85x = x(1-0.01y)\\or, 0.85 = 1-0.01y\\or, 0.01y = 1-0.85 = 0.15\\or, y =15\\So, ~the~decrease~of~the~price~is~15%.[/tex]
Alternative method:
[tex]Percentage~decrease = \frac{Initial~Rate-Final~rate}{Initial~Rate}(100) \\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\frac{1-0.85}{1}(100) = 0.15(100)=15[/tex]
Answer:
thr percent decrease is 15%
Step-by-step explanation:
you get 1.00 which represent beginning price u subtract the current price 1.00-0.85 you get0.15 which is 15%
given that ABCD is a parallelogram, find each of the following
AB
AD
< A
< D
Answer:
AB = 8
AD = 10
<A = 118
<D = 62
Step-by-step explanation:
1. AB
Because opposite sides in a parallelogram are equal, DC = AB = 8.
2. AD
Because opposite sides in a parallelogram are equal, BC = AD = 10.
3. <A
Adjacent angles are supplementary in a parallelogram, so A = 180 - 62 = 118
4. <D
Opposite angles are equal in a parallelogram, so B = D = 62
Answer:
AB = 8
AD = 10
m∠A = 28°
m∠D = 62°
Step-by-step explanation:
A few facts to remember about a parallelogram.
1. Opposites sides are congruent
2. Opposites angles are congruent
3. Consecutive angles are complementary
So, AB = 8, AD = 10, m∠A = 90 - 62 = 28°, m∠D = 62°
Which number is a solution for the
8.
inequality below?
3n< 18
What 8?
There is no 8 in the problem.
The answer is not a specific value for n.
3n < 18
Divide both sides by 3.
3n/3 < 18/3
n < 6
ANSWER: n < 6
What does the answer mean?
It means that n must be less than 6 to make the original inequality a true statement.
Find the value of x.
44.8
37.5
17.5
22.0
Answer:
x = 17.5
Step-by-step explanation:
[tex] \frac{16}{10} = \frac{28}{x} [/tex] (angle bisector theorem)
Cross multiply
16 × x = 28 × 10
16x = 280
Divide both sides by 16
x = 280/16
x = 17.5
Mary has 4 gallons of water. She wants to put 2/3 gallon in each bottle. How many bottles can she fill?
Mary can fill 4 bottles of water.
Mary can fill 14 bottles of water.
none of these
Mary can fill 6 bottles of water.
Answer:
she can fill 6 if them
Step-by-step explanation:
2/3 ÷ 4 = 1/6
Please help 2/4
Solve the binomial
4(3d-1)(3d+1)
Answer:Isolate the variable by dividing each side by factors that don't contain the variable.
d=−5
Step-by-step explanation:
HELPPPPPP!!!!! ASAPPPPP!!!!
Answer:
c.
Step-by-step explanation:
hopes this helps
Find the volume of each figure below. Round to the nearest 10th, if necessary
Answer:
1692.5 ft³
Step-by-step explanation:
Thank you for giving the equation which would help me in solving. We know that our h which is the height is 11 ft. We have to find what the radius. Radius is the have of the diameter. In the figure, the 14 ft is the diameter. So in order to find the radius, we would divide it by 2.
14 ft ÷ 2 = 7 ft
h = 11 ft
r = 7 ft
Now plug it in the equation.
[tex]\pi[/tex]
In the equation you have this sign above. Remember this is the pi sign which is 3.14.
V = 3.14r²h
V = 3.14(7)² × 11
V = 3.14(49) × 11
V = 153.86 × 11
V = 1692.5 ft³
Hope this helps, thank you :) !!
Please help me and hurry! Its due on Thursday!
Translate the sentence into an equation.
Six times the sum of a number and 5 equals 7.
Use the variable w for the unknown number.
[tex]6 \times (w + 5) = 7[/tex]
Answer:
6 x w (+2)<4+3i>
Step-by-step explanation:
express in exponential form 200×75
Do you mean exponential form as in scientific notation or as in prime factorization.
Now matter I will do both.
As in scientific notation.
200*75
=150*100
=1.5*10000
=1.5*10^4
As in prime factorization.
200*75
=2^3*5^2*3*5^2
=2^3 * 3 * 5^4
Do the one your teacher ask for :) Hope it helps!
Given that for all values of
6) = 4x+p
x) = x + 1
and f = 12x + 4
where p and are constants
Work out the values of panda
Answer:
f=−px+8x−2/x
Step-by-step explanation:
its a fraction
Sarah has four friends. Lauren is 1.54m tall, Sophie is 1.50m tall, Kristy is 1.52m tall and Natalie is 1.49m tall. If they all stood on top of eachother how high would theybe?
Answer:
It would be 6.05m tall.
Which graph best represente y 6x13
Answer:
B
Step-by-step explanation:
Solve using substitution. The solution is 4x-2y=-20 y=-3x
Answer:
X=-2
Step-by-step explanation:
4x-2(-3x)= -20
4x+6x=-20
10x=-20
/10 /10
x=-2
Hope this helps!
Find the degree of the monomial.
6r2n4t
Answer:
idek
Step-by-step explanation:
On the grid below, which point is located in the quadrant where the x-coordinate is a negative number and the y-coordinate is a positive number?
A coordinate plane is shown. Point A is in quadrant 1, point B is in quadrant 2, point C is in quadrant 3, and point D is in quadrant 4.
A
B
C
D
Answer:
B
Step-by-step explanation:
Quadrant 1 is (+,+), quadrant 2 is (-,+), quadrant 3 (-,-), and quadrant 4 is (+,-).
A science fair has 180 entries. There
are 72 entries from sixth grade
students.
Answer:
40%
Step-by-step explanation:
Total entries= 180
Entries from 6th grade= 72
Percentage = 72/ 180 x 100= 40%
Hope its right!!!
Solve the inequality.
x + 7 > 18
The solution is __.
Graph the solution.
Answer:
7+18=25 that's the answer
aidez moi en math je donne le maximum des points!
Step-by-step explanation:
[tex]\large \mathcal{Answer}[/tex]
Answer:
Ils sont amicaux, regardez sur le site nosdevoirs
Step-by-step explanation:
Find the slope and the y-intercept of the line.
y=5x-6
slope:
y-intercept: :
Answer:
slope is 5 y intercept is -6
Step-by-step explanation:
URGENT will give brilliant mark For the reaction 2Na + Cl2 ------ 2NaCl, how many grams of sodium chloride can be produced from 500g of chlorine? ( atomic masses : Na = 23 , Cl = 35.5 g/mol) *
1 point
112 g
319 g
409 g
825 g
Answer:
825 g
Step-by-step explanation:
Here's my work:
500g Cl2 l 1mol Cl2 l 2 mol NaCl l 58.5 g NaCl
l 71 g Cl2 l 1 mol Cl2 l 1 mol NaCl
= 823.94 - the rounding can be a little off
The first thing you have to do is convert the 500 g of Cl2 into moles. So you get the mass of Cl which is 35.5, but Cl is diatomic by itself so you multiply 35.5 x 2 and get 71. now on the third column you are comparing the mol ratios of the equation. The equation is 2Na + Cl2 ---> 2NaCl, so you see that there is no coefficient in front of Cl2 so that means there is 1 mol, and then you see that in the product there is a coefficient of 2 in front of NaCl so that means there is 2 moles. Then finally you have to convert the moles backs into grams where you just add the masses of Na and Cl . You multiply across the top and then divide that number by the bottom row.
The length of a rectangle is
8 inches longer than the
width. If the ratio of the
length to perimeter is 5:16,
what is the area of the
rectangle?
Answer:
Step-by-step explanation:
The area of the rectangle is 240 square inches if the length of a rectangle is 8 inches longer than the width. If the ratio of the length to the perimeter is 5:16.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
It is given that:
The length of a rectangle is 8 inches longer than the width. If the ratio of the length to the perimeter is 5:16
As we know, the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.
Let l and w be the length and width of the rectangle:
l = 8 + w
w = l - 8
l/P = 5/16 (the length to the perimeter is 5:16)
P is the perimeter of the rectangle.
P = 2(l + w)
l/[2(l + w)] = 5/16
16l = 10(l + w)
8l = 5(l + l - 8)
8l = 10l - 40
2l = 40
l =20 inches
w = 20 - 8 = 12 inches
Area = 20x12 = 240 square inches
Thus, the area of the rectangle is 240 square inches if the length of a rectangle is 8 inches longer than the width. If the ratio of the length to the perimeter is 5:16.
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What is 13 divided by 0.22 and round to the nearest hundredth
Answer:
59,09
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