Answer:
Use Heron's formula; see below.
Step-by-step explanation:
Use Heron's formula.
Let the sides of the triangle have lengths a, b, and c.
[tex] s = \dfrac{a + b + c}{2} [/tex]
[tex] area = \sqrt{s(s - a)(s - b)(s - c)} [/tex]
Example:
A triangle has side lengths 3, 4, and 5 units.
Find the area of the triangle.
[tex] s = \dfrac{a + b + c}{2} [/tex]
[tex] s = \dfrac{3 + 4 + 5}{2} [/tex]
[tex] s = 6 [/tex]
[tex] area = \sqrt{s(s - a)(s - b)(s - c)} [/tex]
[tex] area = \sqrt{6(6 - 3)(6 - 4)(6 - 5)} [/tex]
[tex] area = \sqrt{6(3)(2)(1)} [/tex]
[tex] area = \sqrt{36} [/tex]
[tex] area = 6 [/tex]
the diameter of a circle is 13.8cm. Find the length of its radius
Hello!
R = D/2
R= 13,8/2 => 6,9cm
The length of the circle's radius is 6.9 cm.
The diameter of a circle is twice the length of its radius. So, to find the length of its radius (r), you can divide the diameter (d) by 2.
Given: Diameter (d) = 13.8 cm
Length of radius (r) = d / 2
r = 13.8 cm / 2
r = 6.9 cm
The length of the circle's radius is 6.9 cm.
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Multicultural Studies!
HELP PLEASE
Gisela didn't say anything when her friend made a joke about the texture of
Black people's hair. What is Gisela showing?
O A. Assertive behavior toward racism
B. Institutional racism
C. Passive acceptance of racism
D. Intolerance toward racism
Answer:
It is Passive acceptance of racism, There was no reason why she needed to say black people unless she wanted to downplay them. She is being racist because she saying that only black people have this type of texture. If her friend made a joke like this then she would do worse jokes like calling black people monkeys (aka N's that the definition of the N-word monkey).
SUB - Mathematics
Grade - 9th
Q.1) Visualise 3.765 on the number line , using Succescive Magnification.
Note:-
• Kindly Don't spam
• Need Genuine Answer
• Don't need plagiarised answer .
• Spam/wrong/short answers will be reported....
• Don't be greedy for points.
Step-by-step explanation:
Introduction:-Successive magnification:
In this process, we use to represent real numbers and visualize them on the number line such as by the magnifying glass, due to this we refer it as successive magnification.
Solution:-Since, we're given to visualize 3.765 on the number line, we take the number line from between 3 and 4Then, in between 3 and 4, we then visualize the portion of 3.7 and 3.8Again, in between 3.7 and 3.8, we visualize the portion of 3.76 and 3.77.At last, we point out the required number for visualizing that is 3.765, in between 3.76 and 3.77.A bottle is launched from a bottle launcher. The height of the bottle is modeled by the equation h(t) = –16t2 + 78t + 10. How long does it take the bottle to reach the ground?
A.
10 seconds
B.
5 seconds
C.
4.7 seconds
D.
1.1 seconds
Answer:
C: 4.7
Step-by-step explanation:
Axis of symmetry: -b/2a
a=-16
b=78
-78/2(2(-16))= 4.875 seconds in the air.
A number line going from negative 10 to positive 10. Use the number line to help you answer the question. Which statements are true? Check all that apply. –4 < –8 |–4| < |–8| |–5| > 1 –5 > |1| |–2| = |2|
Answer:
2. |-4| < |-8|
3. |-5| > 1
5. |-2| = |2|
Answer:
2,3,5 are correct
Step-by-step explanation:
i took the test
Wendell wants to make a wooden lid for a decorative box. The lid needs to be 612inches wide and 812inches long with sides 2 inches deep. Part A Part B Wendell has a square piece of wood that has a side length of 12 inches. Based on your answer to Part A, does Wendell have enough wood to make the lid? Explain. Wendell has enough wood to make the lid because the surface area of his piece of wood is larger than the surface area of the wood needed. Wendell does not have enough wood to make the lid because the longest piece needed for the lid is longer than the side of his piece of wood. Wendell has enough wood to make the lid because each dimension of the box is less than the side length of his piece of wood. Wendell does not have enough wood to make the lid because the surface area of his piece of wood is smaller than the surface area of the wood needed
Answer:
Step-by-step explanation:
A
Please help ASAP!
The domain of this function is {-12, -6, 3, 15}.
y= 2/3x + 7
Complete the table based on the given domain.
Can you guys please help!!!??
ur mom
Step-by-step explanation:
Pls help i will give 5 starts and brainliest question is down below 9:22
Answer:
D
Step-by-step explanation:
I have done this before
Top row units is 8 i then multiplied both sides so 5*2 which = 10 then multiplied 8*10 to get 80
Answer:
80 square units (D)
Step-by-step explanation:
Base is 16 units, height is 5 units. 16 * 5 = 80
Can someone please answer & show work? Thanks.
ASAPPPPPPPPPPPP!!!!!!
Answer:
angle C measures 31 degrees.
Step-by-step explanation:
because when they are complementary, the two angles add up to 90 degrees and you know the measure of part of that 90 already, so its as simple as subtracting 90-59=31
Answer:
31
Step-by-step explanation:
complementary angles equal 90
90-59=31
The school cafeteria sells two kinds of wraps: vegetarian and chicken. The vegetarian wrap costs $1.00 and the chicken wrap costs $1.90. Today they made $78.60 from the 57 wraps sold. How many of the wraps so ld were vegetarian?
Julian has a points card for a movie theater. He receives 85 rewards points just for signing up. He earns 3.5 points for each visit to the movie theater. He needs 120 points for a free movie ticket. Which equation or tape diagram could be used to represent the context if xx represents the number of visits Julian must make to earn a free movie ticket?
Answer:
an equation that can be used to represent the number of visits needed to earn a free movie ticket is
3.5x+85=120
Step-by-step explanation:
you would multiply 3.5 by the number of visits (x) to determine how many points Julian would have earned in total. you would add 85 to the product of 3.5(x) because he had started with 85 points.
if you want to find how many times Julian would need to visit the movie theater to get a free movie ticket you can subtract 85 from 120, to find out how many visits are necessary before adding the extra 85 points. subtracting that leaves you with 35, and if you divide that by 3.5, the number of points per visit, you are left with 10. Julian would need to visit the theater 10 times before earning a free movie ticket.
if you want to check to see if that's right, you can just do the equation in reverse. rather than 85-120=35/3.5=10, you can do 10*3.5=35+85=120
hope this helps
what is 1 half multiplied by (4+8) equal
Answer:
6
Step-by-step explanation:
What is 1 half (1/2) multiplied by (4+8) equal?
1/2*(8+4) <== add the number in the parenthesis
1/2*12 <== multiply the numbers, half of 12 is 6
6 <== final answer
Hope this helps!
6
Step-by-step explanation:
Hope the pic will help
hello, please answer the question, please show work
What are the factors of 2x2 3x – 54? Select two options. 2x – 9 2x – 6 2x 6 x – 6 x 6.
The factors of expression [tex]2x^{2} +3x-54[/tex] are (x+6) and (2x-9).
The given expression is: [tex]2x^{2} +3x-54[/tex]
What is a factor?A factor is a number that divides another number leaving no remainder.
We can rewrite the given expression as:
[tex]2x^{2} +12x-9x-54[/tex] (middle term has been splitted)
Take 2 as common from first two terms while take -9 as common from last two terms.
[tex]2x(x+6)-9(x+6)[/tex]
Take (x+6) as common
[tex](x+6) (2x-9)[/tex]
So, we got the factors (x+6) and (2x-9)
Therefore, The factors of expression [tex]2x^{2} +3x-54[/tex] are (x+6) and (2x-9).
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HELPPP 50 pointsss
An equation is shown below:
8(2x – 14) + 13 = 4x – 27
Part A: Write the steps you will use to solve the equation, and explain each step. (6 points)
Part B: What value of x makes the equation true? (4 points)
Answer:
x = 6
Step-by-step explanation:
8(2x – 14) + 13 = 4x – 27
Lets go in the order of PEMDAS (Parantheses, Exponents, Multiplication, Division, Addition, Subtraction)
First, distribute 8.
8(2x – 14)
[tex]8*2x=16[/tex]
[tex]8*-14=-112[/tex]
So now our equation is:
16x – 112 + 13 = 4x – 27
Now we can add. We will add 13 to -112.
[tex]-112 +13=-99[/tex]
Now our equation looks like this:
16x – 99 = 4x – 27
Now we have to try to get the variable (x) on one side of the equation.
To do this, we will subtract 4x from both sides of the equation.
16x – 99 = 4x – 27
-4x -4x
12x - 99 = -27
Now we can add 99 to -27.
[tex]99 + (-27) = 72[/tex]
Now we have
12x = 72
Our last step is to divide both sides by 12:
[tex]\frac{12x}{12}= \frac{72}{12}[/tex]
We get x = 6.
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!
Stay Brainy!
−Kallmekrish
Answer:
Step-by-step explanation:
A.
8(2x – 14) + 13 = 4x – 27
Step 1: Distribute 8, meaning multiply 2x and -4 using 8
8(2x – 14)
8(2x) + 8(-14)
16x - 112
New equation:
16x - 112 + 13 = 4x – 27
Step 2: Add any numbers or like terms:
16x - 112 + 13 = 4x – 27
16x - 109 = 4x - 27
New equation:
16x - 99 = 4x - 27
Step 3: Isolate the variable on one side
16x - 99 = 4x - 27
-4x -4x
12x - 99 = - 27
+ 99 + 99
12x = 72
Step 4: Divide both sides by 12
12x = 72
/12 /12
x = 6
B.
Check your answer:
8(2x – 14) + 13 = 4x – 27
8(2(6) - 14) + 13 = 4(6) - 27
8(12 - 14) + 13 = 4(6) - 27
8(-2) + 13 = 24 - 27
-16 + 13 = 24 - 27
-3 = -3
This statement is correct
Therefore, our answer (x = 6) is correct.
Hope this helps!
Does the budgeted amount cover the actual amount for expenses, savings, and emergencies?
A)
No, it's short $207.00,
No, it's short $227,00,
o
Yes, there's a surplus of $207.000
D)
Yes, there's a surplus of $227.00,
Answer:
No its short 207
Step-by-step explanation:
Took the test on UsaTestPrep got it right :)
Bye loves <3
Answer:
the one b4 is wrong its a surplus of 207 .-.
Step-by-step explanation:
this is correct usatestprep also lol
Two basketballs fell, without bouncing, from a net and a chair at the same time. The ball which fell from the net rolled 30 feet. Note: Figure is not drawn to scale The horizontal and vertical distances traveled by the balls formed similar triangles. How far did the second ball roll from the chair? A. 6 feet B. 22 feet C. 4 feet D. 3 feet
Answer:
c
Step-by-step explanation:
-77 Rational of Irrational?
Answer:
Rational
Step-by-step explanation:
A rational number includes any whole number, fraction, or decimal that ends or repeats. An irrational number is any number that cannot be turned into a fraction, so any number that does not fit the definition of a rational number.
PLEAASE SOMEONE HELP ME IM SO STUCK
finish the table using the equation y= x/2
Help me do this question :)
Answer:
[tex]y = \frac{1}{8}x -7[/tex]
Step-by-step explanation:
Slope formula: [tex]y=mx+b[/tex]m = slope[tex]m=\frac{y_2-y_2}{x_2-x_1}[/tex]Find the slope using (8, -6) and (-8, -8):
[tex]m=\frac{-8-(-6)}{-8-8} \\\\m=\frac{-8+6}{-8-8} \\\\m=\frac{-2}{-16}\\\\m=\frac{2}{16}\\\\m=\frac{1}{8}[/tex]
[tex]y=mx + b\\\\y = \frac{1}{8}x + b[/tex]
Now, we use either of our points (8, -6) OR (-8, -8) to find b.
I will be using (8, -6):
[tex]y = \frac{1}{8}x + b\\\\-6=\frac{1}{8}(8) + b\\\\-6=1+b\\\\-1 \ \ -1\\\\-7=b[/tex]
[tex]y = \frac{1}{8}x + b== > y = \frac{1}{8}x -7[/tex]
Check your answer manually: (-8, -8)
[tex]y = \frac{1}{8}x -7\\\\-8 = \frac{1}{8}(-8) -7\\\\-8=-1-7\\\\-8=-8[/tex]
This statement is correct.
*You can also view the attached graph to verify the answer, meaning that those two points should lie on the same line.*
Hope this helps!
A and b are supplementary angles. angle a measures 67° what is the measure of angle b
Answer:
113°
Step-by-step explanation:
because supplementary angles add up to 180°
thus if a is 67° then we subtract 67° from 180° and b will be 113°
In how many years will $1,000 yield an interest of
$6000 at 60% simple interest?
Answer:
10 years
Step-by-step explanation:
The simple interest formula tells you the relationship between interest, principal, interest rate, and time. When the given values are put into the formula, it can be solved for the unknown time.
__
I = Prt . . . interest earned on principal P at rate r for t years
6000 = 1000·0.60·t . . . . use the given values for I, P, r
6000/600 = t = 10 . . . . divide by the coefficient of t
$1000 will yield an interest of $6000 in 10 years.
Mrs Smith visits THE SCHOOL - outfitters to buy school clothes for the new school year.
The price of a school dress is R350 and a blazer is R650.
Calculate the percentage profit the shop makes if the cost price per dress is R280.
The shop makes 25% profit if the cost price per dress is R280.
PLS HELP
WILL GIVE BRAINLIEST
answer:
(-7; -5)
step by step
please help with this math problem
Step-by-step explanation:
please mark me as brainlest
Answer:
10 mm
Step-by-step explanation:
You can find the missing dimension using the triangle area formula with the dimensions you know.
A = 1/2bh
40 mm² = 1/2(b)(8 mm)
b = 40 mm²/(4 mm) = 10 mm . . . . . . . divide by the coefficient of b
The triangle's base is b = 10 mm.
use the muliplier method to increase 88 pound by 14% show your working
Answer:
100.32
Step-by-step explanation:
Since the question is asking to INCREASE, you want to multiply 88 by 1.14
This is because a percent is a number multiplied by 100 (For example 0.1 is 10%)
Whenever you want to increase by a percent, you add 100% to the number.
So:
88 * 1.14 =
100.32
The cities of fayetteville, raleigh and durham form a triangle. they are building a new
baseball stadium. how should they determine where to place the stadium so it is the
same distance from all three cities to the stadium? assume a direct path.
Answer:
it should be built at the centre
What do I have to major in to become an astronomer and approximately how long would I have to stay in college?