1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
SSSSS [86.1K]
3 years ago
5

Given that triangle ABC has angle ABC = 90 degrees, AB = 6 cm and BC = 9 cm. Calculate the length of AC in cm to 1 decimal place

Mathematics
1 answer:
Luda [366]3 years ago
6 0

Answer:

AC = 6.7

Step-by-step explanation:

If this is a 90 degree triangle which I am assuming it is you would the Pythagorean theorem c^2 = a^2 + b^2 since bc seems long I am using that as the hypotenuse.

9^2 = 6^2 + b^2

81 = 36 + b^2

81-36 = b^2

45 = b^2

6.7 = b

so AC = 6.7

You might be interested in
Sin cos and tan help
Nikitich [7]
Sin(B) = opp/hyp = 32/40 = 0.8
cos(B) = adj/hyp = 24/40 = 0.6
tan(B) = opp/adj = 32/24 = 1.33 (repeating)
7 0
3 years ago
27 PTS + BRAINLIEST. I need all of these questions answered. I will award brainliest to the fastest and most correct answer. I w
erik [133]
2 Simpify:
a -4 X x = -4x
b -10 X y = -10y
c -1 X a = -a
d b X (-1) = -b
e -4 X 2m = -8m
f 6 X -3a = -18a
g -8 X -3a = 24a
h -6m X 4 = -24m
i -7 X 8n = -56n
j -a X -3 = 3a
k 6x / -2 = -3x
l -10m / -5 = 2m
m -24a / 8 = -3a
n 2(m+3)-8=2(m)+2(3)-8=2m+6-8=2m-2
o 5(m-1)+9=5(m)+5(-1)+9=5m-5+9=5m+4
p 3(a-5)+10=3(a)+3(-5)+10=3a-15+10=3a-5
q 4(2x+1)-8x=4(2x)+4(1)-8x=8x+4-8x=4
r 3(10-2x)+3x=3(10)+3(-2x)+3x=30-6x+3x=30-3x
s 4(3-x)+9x=4(3)+4(-x)+9x=12-4x+9x=12+5x

3 Simplify by collecting like terms:
a 7a-5b+2a-6b=(7+2)a+(-5-6)b=(9)a+(-11)b=9a-11b
b 11x-2y-5x+7y=(11-5)x+(-2+7)y=(6)x+(5)y=6x+5y
c 3m+2g-5g-4m=(3-4)m+(2-5)g=(-1)m+(-3)g=-m-3g
d 6a-7-9a+10=(6-9)a+(-7+10)=(-3)a+(3)=-3a+3
e 7p-2q-6p+3q=(7-6)p+(-2+3)q=(1)p+(1)q=p+q
f 3x+7-12-5x=(3-5)x+(7-12)=(-2)x+(-5)=-2x-5
g 2ab+3bc-5ab+bc=(2-5)ab+(3+1)bc=(-3)ab+(4)bc=-3ab+4bc
h 6t^2+3t-5t^2-8t=(6-5)t^2+(3-8)t=(1)t^2+(-5)t=t^2-5t
i 9y-6z-9y+5z=(9-9)y+(-6+5)z=(0)y+(-1)z=0-z=-z
j 2k-3k^2-4k+k^2=(2-4)k+(-3+1)k^2=(-2)k+(-2)k^2=-2k-2k^2
k 10t+5w+t-7w=(10+1)t+(5-7)w=(11)t+(-2)w=11t-2w
l 7a-3b-8a-5b=(7-8)a+(-3-5)b=(-1)a+(-8)b=-a-8b
8 0
3 years ago
Suppose S and T are mutually exclusive events. Find P(S or T) if P(S) = 8/9 and P(T) = 1/10.
blsea [12.9K]

Answer:

\textbf{$P(S \cap T) = \frac{89}{90}$ }\\

Step-by-step explanation:

\textup{Mutually events are events that cannot occur at the same time.}\\\textup{When you toss a coin you get only $head$ or only $tail$ but never both.}\\ \textup{In mathematical terms $P(A) \cup  P(B) = 0$, where $A$ and $B$ are mutually exclusive events. }\\\textup{We know the formula:}\\$$ P(A \cup B) = P(A) + P(B) - P(A \cup B) $$\\\textup{When $A$ and $B$ are mutually exclusive, it will simply be:}\\$$ P(A \cup B) = P(A) + P(B) $$\\\textup{Now given:}\\ $P(S) = 8/9$ , $P(T) = 1/10$\\

$ \implies P(S \cup T) = \frac{89}{10}$

6 0
3 years ago
the perimeter of a rectangular picture frame is 32 in the length of the frame is 2 inches longer than the width what are the dim
stich3 [128]

Answer:

the length is 9 in. and the width is 7 in.

Step-by-step explanation:

this is hard to explain but i promise that this is the correct answer.

7 0
3 years ago
Four circles, each with a radius of 2 inches, are removed from a square. What is the remaining area of the square?
garri49 [273]

<u>Given</u>:

Given that the radius of the circle is 2 inches.

We need to determine the area of the remaining square.

<u>Area of a square:</u>

Given that each circle has a radius of 2 inches.

Then, the diameter of each circle is 4 inches.

Hence, the side length of the square is 2 × 4 = 8 inches.

The area of the square is given by

A=s^2

A=8^2

A=64 \ in^2

Thus, the area of the square is 64 square inches.

<u>Area of the four circles:</u>

The area of one circle is given by

A=\pi r^2

Substituting r = 2, we have;

A=4 \pi

Thus, the area of one circle is 4π in²

The area of 4 circles is 4 × 4π =16π in²

Hence, the area of the 4 circles is 16π in²

<u>Area of the remaining square:</u>

The area of the remaining square is given by

Area = Area of the square - Area of four circles.

Substituting the values, we get;

Area = 64-16 \pi

Thus, the area of the remaining square is (64 - 16π) in²

Hence, Option c is the correct answer.

5 0
3 years ago
Other questions:
  • On day t=0t=0t, equals, 0, the stock is at its average value of {\$}3.47$3.47dollar sign, 3, point, 47 per share, but 91.2591.25
    15·1 answer
  • Please help one of my last questions.....
    7·1 answer
  • What is the factored form of the expression?<br><br> d^2 = 36d + 324
    6·1 answer
  • Suzie just became a personal trainer and is finalizing her pricing plans. One plan is to charge $59 for the initial consultation
    8·1 answer
  • Kimberly went 5 miles after walking for 2 hours. If Kimberly's rate of travel st
    7·1 answer
  • Select all figures for which there exists a direction such that all cross sections taken at that direction are congruent.
    5·1 answer
  • Can someone help (Geometry)
    11·1 answer
  • 2 divided by 5/12= what
    11·1 answer
  • Translate the following into an equation:
    5·1 answer
  • For the following​ equation, find three ordered pair solutions by completing the table. Then use the ordered pairs to graph the
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!