Find the height of the triangle by applying formulas for the area of a triangle and
your knowledge about triangles.
A. 5.8 mm
B. 2.0 mm
OC. 4.4 mm
D. 6.2 mm
Answers
Answer:
Step-by-step explanation:
a= 12 mm ; b = 16 mm ; c = 18 mm
s = (a + b+c)/2
[tex]=\dfrac{12 + 16 + 8}{2}\\\\= \dfrac{36}{2}\\\\= 18\\\\[/tex]
s -a = 18 - 12 = 6 mm
s -b = 18 - 16 = 2 mm
s -c = 18 - 8 = 10 mm
[tex]area = \sqrt{s(s -a)(s-b)(s-c)}[/tex]
[tex]= \sqrt{18*6*2*10}\\\\= \sqrt{2160 }\\\\=46.47\\\\=46 \ mm^{2}\\[/tex]
[tex]\dfrac{1}{2}* \ base * \ height = 46\\\\\dfrac{1}{2}*16* \ height = 46\\\\height = \dfrac{46*2}{16}\\\\[/tex]
= 5.75
Height = 5.8 mm
Answer:
A. 5.8mm
Step-by-step explanation:
[tex]area \: of \: triangle = \sqrt{s(s - a) \times (s - b) \times (s - c)} \\ s = \frac{a + b + c}{2} \\ s = \frac{12 + 8 + 16}{2} \\ s = 18 \\ area \: of \: triangle \: = \sqrt{18(18 - 12) \times (18 - 8) \times (18 - 16)} \\ = \sqrt{2160} \\ = 46.47 {m}^{2} \\ area \: of \: triangle \: = \frac{1}{2} \times base \times height \\ 46.47 = \frac{1}{2} \times 16 \times h \\ h = \frac{46.47}{8} \\ h = 5.8mm[/tex]
Related Questions
What is the segment 7x+5=8
Answers
Step-by-step explanation:
7x - 5 = 8
7x = 8 + 5
7x = 13 (divide both sides by 7 to get x)
7x/7 = 13/7
x = 1.85714285714
Katie and mina both commute to work. Katie's commute on train takes 10 minutes more then 1/2 as may minutes as Mina’s commute by car. It takes Katie 30 minutes to get to work which equation determines how many minutes it takes Mina to get to work. (9th grade Algebra 1)
Answers
Answer:
It’s A.
Step-by-step explanation:
Took the test and got it right
Find the Product.
1.45 X 3.8-
Answers
Answer:
the answer for this question is 5.51
g(x) = f(x) +2
if f(x) is 2x
Answers
Answer:
You didn't put the question well but if I am right, the question is asking of g(x) if f(x) is 2x.
then g(x)=2x+2
halp please???????????
Answers
Step-by-step explanation:
[tex]thank \: you[/tex]
Which of the following describes the correct process for solving the equation 2x − 6 = 22 and arrives at the correct solution?
Answers
Answer:
Subtract 6 from both sides and then divide by 2. The solution is x = 8.
Thank You
Answer:
x=8
Step-by-step explanation:
Translate to an algebraic expression.
29 more than n
Answers
20 letters…
even more math.......
Answers
Answer:
A
Step-by-step explanation:
We don't know the height of the building, and it's changeable because we multiplied it by 1/2, also, the rest of the values are revealed, so the answer is A.
RS = 3y + 3, ST = 2y + 7, and RT=-10y-10
Answers
Explanation:
RS + ST = RT
3y + 3 + 2y + 7 = -10y - 10
5y + 10 = -10y - 10
15y = -20
y = -20/15
y = -4/3
find the distance between the two points in simplest radical form
Answers
The distance between the two points (7, - 1) and (9, - 9) is,
d = √68
We have to given that,
To find the distance between the two points (7, - 1) and (9, - 9)
Since, The distance between two points (x₁ , y₁) and (x₂, y₂) is,
⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²
Hence, We get;
The distance between the two points (7, - 1) and (9, - 9) are,
d = √ (9 - 7)² + (- 9 + 1)²
d = √4 + 64
d = √68
Therefore, the distance between the two points (7, - 1) and (9, - 9) is,
d = √68
Learn more about the coordinate visit:
https://brainly.com/question/24394007
#SPJ7
In the figure MX = NY
MX and NY are parallel.
i) Are the sides of ∠MPX equal to the sides of ∠NPY ?
ii) what is the special about the postion of P on MN
Answers
Answer:
i) yes
ii) it splits MN in half (bisector)
Step-by-step explanation:
We are given that MX and NY are parallel. This means, due to alternate interior angles, <XMN and <YNM are congruent as well as <MXY and <NYX. We are also given MX = NY. This is enough information to prove ΔMPX is congruent to ΔNPY due to ASA(two angles and a side between them).
(i) Now, because of this, we can say that all the sides of ΔMPX are congruent to those of ΔNPY. And, this means MP = NP. Since the point P divides the segment MN into two equal pieces, it's a bisector of MN(splits it in half).
Answer:
YesPoint of intersectionStep-by-step explanation:
SEE the image for solution.
HOPE it helps
Have a great day
The reduce feature on a copy machine is set
at 84%. The picture being copied is 4.5
inches wide. What will be the width of the
reduced picture?
5.35 in.
2.9 in.
3.78 in.
0.72 in.
Answers
Answer:
c) 3.78
Step-by-step explanation:
simplify 9(8x - 9) + 13x
Answers
Answer:
85x-81
Step-by-step explanation:
random word to fill up word counter
9(8x-9)+13x
72x-81 + 13x
Step 2 : combine like terms
72x-81 + 13x
85x-81
Final Answer ? 85x-81
Find the sum of
2x^2- 8x– 6 and 9x^2-8
Answers
Answer:
11x^2-8x-14
Step-by-step explanation:
(2x^2- 8x– 6)+(9x^2-8) = 11x^2-8x-14
Answer:
11x^2-8x-14
Step-by-step explanation:
2x^2- 8x– 6 and 9x^2-8
solution:
2x^2- 8x– 6 +(9x^2-8)
=2x^2-8x–6+9x^2-8
=2x^2+9x^2-8x-6-8
=11x^2-8x-14
Which expression is equivalent to 7.90 + 8.5 + 8.60 + 1.3?
O 16.4u + 9.9
0 -0.7u + 9.8
Submit Answer
O 16.54 + 9.8
0 -0.74 + 7.2
о
Answers
Answer:
[tex]⚪ \: \: 16.5u + 9.8[/tex]
Step-by-step explanation:
[tex]7.9u + 8.5 + 8.6u + 1.3 \\ = (7.9 + 8.6)u + 8.5 + 1.3 \\ = 16.5u + 9.8[/tex]
can any one solve this problem
Answers
Answer:
sorry i can't
please mark me as brainlest
A box of cereal states that there are 90 calories in 3/4 cup serving. How many calories are there in 4 cups of the cereal
Answers
Answer:
480
Step-by-step explanation:
Let x be the calories in 4 cups
Set it up
[tex]\frac{90}{\frac{3}{4}}=\frac{x}{4}[/tex]
Step 1: Switch sides
[tex]\frac{x}{4}=\frac{90}{\frac{3}{4}}[/tex]
Step 2: Apply fraction rule
[tex]\frac{x}{4}=\frac{90\cdot \:4}{3}[/tex]
Multiply
[tex]\frac{x}{4}=\frac{360}{3}[/tex]
Divide
[tex]\frac{x}{4}=120[/tex]
Step 3: Multiply both sides by 4
[tex]\frac{4x}{4}=120\cdot \:4\\\\=480[/tex]
There are 480 calories in 4 cups of the cereal.
Please help!
Please explain your answer because I need to learn this!
Find the measure of angle theta.
Answers
Answer:
48.2
Step-by-step explanation:
We have a right angle so we can do our three trig ratios,
Sine Cosine Tangent
Remeber SOHCAHTOA.
We are given some angle theta, and we are given a side adjacent to the angle and the hypotenuse. We are going to use the cosine rule.
[tex] \cos(theta) = \frac{36}{54} [/tex]
[tex] \cos(theta) = \frac{2}{3} [/tex]
Take the inverse of both sides
[tex] \cos {}^{ - 1} ( \frac{2}{3} ) = x[/tex]
Theta is equal to
[tex]48.2[/tex]
I need a step by step correct answer bc i need to get in this college please help :(
Answers
Answer:
please mark me brainliest
Step-by-step explanation:
-6÷3×2+3÷3
using Bodmas(bracket of division multiplication addition and subtraction)
-2×2+1
-4+1
-3
Scils Practice convert the following factions into decimals. You must show your work.
How can I turn the fraction 3/12 into a decimal?
Answers
0.25
work shown
solve the following compound inequality. graph the solution. -4 < 3x + 2 <= 2
Answers
Answer:
-2 < x <= 0
Step-by-step explanation:
Isolate the variable.
-4 < 3x + 2 <= 2
Subtract 2 from each side.
-6 < 3x <= 0
Divide both sides by 3
-2 < x <= 0
What is 5 2/3 in radical form?
Answers
Third one ( the one below your selection)
Solve 29 – 3:= 5x + 5 for x.
Answers
Answer:
x=4.2
Step-by-step explanation:
29-3=5x+5
21=5x, x=21/5=4.2
YOU WILL GET 50 OR 100 POINTS TO THE FIRST PERSON TO ANWSER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Antonio circled 72, 78, 84, and 90 on a hundreds chart. If Antonio continues his pattern, what two numbers will be next in the pattern?
Answers
Answer:
96, 102Step-by-step explanation:
We can observe the numbers 72, 78, 84, 90 form an arithmetic sequence with common difference of 6.
It can be continued by adding 6 to the last number:
90 + 6 = 9696 + 6 = 10272,78,84,90..are in AP
a=72d=6[tex]\\ \rm\longmapsto a_5=72+4(6)=72+24=96[/tex]
[tex]\\ \rm\longmapsto a_6=72+5(6)=72+30=102[/tex]
Pls help me I’m not very smart
Answers
Answer:
39.90
Step-by-step explanation:
multiply 95x42, ur not smart if you think u arent.
I really need help because I’m so confused where to start and it’s due tomorrow :(
Answers
Answer:
1. 8t+4v
A.9v+7t+6
S.14v+7t
A motorboat travels 275 kilometers in 5 hours going upstream. It travels 405 kilometers going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current?
Answers
Step-by-step explanation:
[tex]275 \times 5 = 1375 [/tex]
The rate of the motorboat on still water is 1375
[tex]405 \times 5 = 2025[/tex]
The current rate of the motorboat is 2025
can you please answer this question
Answers
Answer:
168000
Step-by-step explanation:
5/14 to the son.
that leaves 9/14 of the total.
these 9/14 we need to split into 1/3rds, as 2/3 of these 9/14 go to the daughter, and then the remaining 1/3 of these 9/14 to the wife.
how do we do that ?
well, here it is simple, as we see right away that the numerator 9 can be easily split into 1/3rds (9/3 = 3).
but in general by multiplying. so 2/3 of 8/14 is
9/14 × 2/3 = 9×2 / 14×3 = 3×2 / 14 = 6/14
and then little surprising 1/3 is
9/14 × 1/3 = 9 / 14×3 = 3/14
now, we know, these 3/14 are 36000.
what we need to know is how much is 14/14 or 1/1 : the whole amount.
well, the easiest way in my opinion is now to bring it to 1/14 (by dividing by the numerator 3) and then multiply it by 14 (the denominator) to bring the sum to the whole (14/14).
it in total, multiply it with the reverse fraction : 14/3
36000 × 14/3 = 12000×14 = 168000
93. Let f(x) = 3x - 1 and g(x) = x + 5. Evaluate the following limits. (a) lim x→3 f(g(x)]
(b) lim x→3 g[f(x)]
Answers
Answer:
a) 23 and b) 13
Step-by-step explanation:
I. If f(g(x)) is composit function
Find fog and gof
fog = 3(g) - 1
= 3(x+5) -1
= 3x + 15 -1
= 3x + 14
gof = (f) + 5
= (3x - 1) +5
= 3x + 4
II. Fill in a) and b) question
lim x -> 3 fog
= 3(x) + 14
= 3(3) + 14
= 9 + 14
a) = 23
lim x-> 3 gof
= 3x + 4
= 3(3) + 4
= 9 + 4
b) = 13
Got more question or something to discuss, leave comment below
Write 4/33 as a decimal step by step please
Answers
Answer:
0.12121212121212
Answer:
0.12121212...
Step-by-step explanation:
4÷33
