Answers
Answer:
b = 8.89, c = 11.96 and m∠B = 48°
Step-by-step explanation:
From the given triangle ABC,
We will apply sine ratio for angle A,
sin(A) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(42)° = [tex]\frac{BC}{AB}[/tex]
sin(42)° = [tex]\frac{8}{AB}[/tex]
AB = [tex]\frac{8}{\text{sin}(42)}[/tex]
AB = 11.96
c = 11.96
By triangle sum theorem,
m∠A + m∠B + m∠C = 180°
42° + m∠B + 90° = 180°
m∠B = 180 - 132
m∠B = 48°
By cosine ratio of angle A,
cos(A) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(42)° = [tex]\frac{AC}{AB}[/tex]
AC = AB.cos(42)°
AC = (11.96)cos(42)°
AC = 8.89
b = 8.89
Related Questions
Please explain the answer. Thank you!
Answers
Answer:
Neither
Step-by-step explanation:
Neither because sometimes as x increases, y increases and sometimes as x increases, y decreases so this graph have no corrleation so it neither.
Jake buys a bag of popcorn at a movie theater. He
eats half of the popcorn during the 15 minutes of
previews. After eating half of the popcorn, he stops
eating for the next 30 minutes. Then he gradually
eats the popcorn until he accidentally spills all of the
remaining popcorn. Which of the following graphs
could represent the situation?
Answers
Answer:B
Step-by-step explanation:
bc i’m like that
The graph of the situation is shown below.
What is graph?A graph is a diagram that depicts the relationship between two variables, usually measured along opposite axes in a pair.
Given that,
Jack eats half of the popcorn in 15 minutes,
Implies that, in starting 15 minutes, the graph will decrease,
For the next 30 minutes, Jake does not eat popcorn,
Therefore, the graph will be constant in interval of 30 minutes,
After that, Jack gradually eats the popcorn, so the graph will gradually decrease,
And at last Jack spills all the remaining popcorn instantaneously decrease
So the graph can be represented as given below.
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Convert 5432.76 kg to hg
Answers
Answer:
54327.6
Step-by-step explanation:
Write the equation of the line that has a slope of ½ and a y-intercept of -2.
Answers
Answer:
y = 1/2x -2
Step-by-step explanation:
y=mx+b
"m" is the slope, in this case 1/2
"b" is the y intercept (the point on the y-axis), which in this case is -2
Answer:
y = [tex]\frac{1}{2}[/tex]x - 2
Step-by-step explanation:
Hope I could help.
Please help if you can. Thank you
Answers
Answer:
Step-by-step explanation:
x-4 = log (base3) of 6; add 4 to both sides
x= [log (base3) of (2*3) ] +4; split 6 to 2*3
x= [log (base 3) of 3 + log ( base 3) of 2] + 4; use rule log(ab) = log a+log b
x= log (base 3) of 2 + 1+ 4; use rule log (base a) of a = 1
x= log (base 3) of 2 + 5; put in the calculator
x≈5.63
please help and thankzz
Answers
Find the vertical asymptote.
Y= 3 over x+5 x=? Whats is the vertical asymptote
Answers
Answer: Maybe x = -5
Step-by-step explanation: Your equation isn't making complete sense to me. But since it sounds like x+5 is in the denominator, if I had to guess, I'd say when x = -5. This is when the denominator equals 0. Since we can't divide by 0, it's an asymptote.
What is the measure of angle x?
Answers
Because angels between equal parallels
42 out of the 56 students at a school assembly were first-grade students. What percentage of
the students at the assembly were first graders
Answers
Answer:
75%
Step-by-step explanation:
Divide 42 and 56
Find the surface area of this cuboid
Answers
Answer: 76
Step-by-step explanation:
2 times 5 is 10. There are two sides so 10 times 2 is 20.
4 times 5 is 20. There are two sides so 20 times 2 is 40.
4 times 2 is 8. There are two sides so 8 times 2 is 16.
20+40+16 is 76.
Pls answer this question
Answers
Answer:
2.5 cm
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Antonio ran a total of 9 miles in two days. The first day he
ran 52 miles. The equation 9-d=5] can be used to find the distance
din miles Antonio ran the second day. Determine whether d
d = 4, or d = 3 is a solution of the equation, and tell what the
solution means.
Answers
Answer:d=4
Step-by-step explanation:
The table gives the mass of liquids with a volume of 5 cm³.
Density is the ratio of mass to volume.
Density = mass/Volume
what is the density of milk? Use the dropdown menu to complete the statement
The density of milk is _____ g/cm³
A. 0.98
B. 1
C. 1.03
D 1.26
Answers
Answer:1.03
Step-by-step explanation:
A popular teacher at a school asks a sample of students if they would be interested in taking class next year. Of the students asks, 85% are in one of her classes this year. Only 15 % of the students in the school are in one of in classes this year. Will this sample be biased?
Answers
Answer:
who write the our national anthem
What is the value of x in the triangle?
Answers
Answer:
its C
Step-by-step explanation:
yicgjcgcughcgcuugugigcgucgic
Convert the decimal to a fraction in its simplest form. 0.298
Answers
Answer:
149/500
Step-by-step explanation:
Answer:
149/500
Step-by-step explanation:
0.298 = 298/1000 = 149/500
the length of the rectangle is 3 times the width. The perimeter is 65.6cm. find the width
Answers
Answer:
[tex]Let~the~length~of~rectangle~be~3x. Then,~its~breadth~will~be~x.\\Given~that,\\Perimeter~of~the~rectangle=65.6\\or, 2(3x+x) = 65.6 ~[Perimeter~of~rectangle=2(length+width)]\\or, 2(4x)=65.6\\or, 4x=32.8\\or, x = 8.2cm\\So,~the~width~of~the~rectangle~is~8.2cm.[/tex]
I’ll GIVE YOU BRAINLYIEST1. A triangle has coordinates at X(3, 7), Y(6, 7) , and Z(4, 2) . Dixie created transformed the triangle so that the new coordinates were X(- 3, - 7) , Y^ prime (-6,-7) and Z^ prime (-4,-2) . Which rule best describes this transformation?
A. (x, y)—>(x, -y)
B. (x, y)—>(-x, -y)
C. (x, y)—>(-x, y)
D. (x, y)—>(x - 6, y - 2)
Answers
Answer:
B. (x, y) → (-x,-y)
This rule is given triangle is reflection about origin or
Rotation clockwise or counter clock wise with 180°
Step-by-step explanation:
Explanation:-
A triangle has coordinates at X(3,7),Y(6,7) and Z(4,2)
The Rule ( x, y)→ ( - x, -y)
This rule is given triangle is reflection about origin or Rotation clockwise or counter clock wise with 180°
X( 3,7) → X¹ ( -3,-7)
Y(6,7) → Y¹ (-6,-7)
Z(4,2) → Z¹( -4 ,-2)
For the function f defined below, what is the value of f(-1)? fx=x+3
-----
2
Answers
Answer:
6) C 1
7) A 3 (im not sure for this one because it's blurry)
8) C 1
Step-by-step explanation:
6) Replace the f(x) for -1 since we are told f(x) = -1. We then need to use the inverse operation to get x by itself.
[tex] - 1 = \frac{x - 3}{ 2} [/tex]
Since the opposite of division (which is indicated by the fraction line) is multiplication, we need to multiply the number on the left (-1) times 2.
[tex] - 2 = x - 3[/tex]
For this step, the opposite of subtraction is addition so in this step, we must add 3 to -2.
[tex]1 = x[/tex]
7) Can't explain cause I'm not sure if I'm right
8) To find out the slope of two coordinates we must use the following to determine it.
(IN THE PICTURE ATTACHED)In this case, the y with the little two will be 4 and the y with the little one is 1. 4-1 is 3 and that's the y cooridnate sorted
For the x coordinate, the x with the little two is 1 and the x with the little one is -2. Thus, we must solve 1-(-2) which also equals 3.
Since the final coordinates are 3/3 and it simplifies, the final answer is 1.
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answers
Answer:
y = 3x + 74
Step-by-step explanation:
Which recursive rule best describes the sequence 3, 14, 36, 80, ...
Answers
Answer c -step explanation:
The recursive rule that best describes the sequence 3, 14, 36, 80, ...is [tex]a_{n} =2a_{n-1} +8[/tex].
What is a sequence?A sequence is a particular order in which related things follow each other.
Let us cross-check the recursive rule [tex]a_{n} =2a_{n-1} +8[/tex]....(1)
Given sequence is: 3, 14, 36, 80, .....
Put n=1, 2, 3 in (1)
[tex]a_{2} =2a_1+8\\a_{2} =2*3+8\\a_{2} =14[/tex]
[tex]a_{3} =2a_2+8\\a_{3} =2*14+8\\a_{3} =36[/tex]
[tex]a_{4} =2a_3+8\\a_{4} =2*36+8\\a_{4} =80[/tex]
We are getting the sequence as 3, 14, 36, 80, ..... i.e. same as the given sequence.
Therefore, the recursive rule that best describes the sequence 3, 14, 36, 80, ...is [tex]a_{n} =2a_{n-1} +8[/tex].
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A rectangle has a length of x + 5 and a
width of 2x - 9. Using the formula for the
perimeter of a rectangle, P = 2L + 2W, write
an expression to represent the perimeter of
the rectangle in simplest form.
Answers
Answer:
6x - 8
Step-by-step explanation:
[tex]P = 2(x + 5) + 2(2x - 9)\\P = 2x + 10 + 4x - 18\\P = 6x - 8[/tex]
Describe this transformation in words (x,y) + (x-7, y-8)
Answers
Answer:
x translated 7 units to left and y translated 8 units down
Step-by-step explanation:
9514 1404 393
Answer:
translates the figure 7 units left and 8 units down
Step-by-step explanation:
You know that increases in x-coordinate move a point to the right. So, decreasing the x-coordinate by 7 units will move a point to the left by 7 units.
Likewise, increasing the y-coordinate will move a point up. So, decreasing the y-coordinate by 8 units moves the point down 8 units.
The transformation ...
(x, y) ⇒ (x -7, y -8)
translates the figure 7 units left and 8 units down.
i need help pls help me
Answers
Answer:
Brian sold 35 tickets.
Step-by-step explanation:
42 x 5/6 = 35
In the month of February, Doodle Incorporated made 4,000 fidget
spinners. Sales were so good that the owner set a goal to increase
production of the spinners by 13% each month until the production
reached 40,000. About how many months would that take? Round to
the nearest month.
Answers
Answer:
19 months
Step-by-step explanation:
As an equation, this can be represented as: x=4000(1.13ᵃ), where x is the amount being produced now and a is the time in months. To find our answer, let x equal 40,000.
40000=4000(1.13ᵃ)
10=1.13ᵃ
log(1.13)(10)=a
a≈18.84, or 19 months
the expression 3(-2m + 5)-6(-4m-2) can be written in the form am + b what is the value of a + b in number form
Answers
Answer:
45
Step-by-step explanation:
The required simplified value of the given expression a + b is given as 45.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
According to the question,
3(-2m + 5)-6(-4m-2) = am + b
-6m + 15 +24m + 12 = am + b
18m + 27 = am + b
From the comparison,
a = 18 and b = 27
Now,
a + b = 18 + 27
= 45
Thus, the required simplified value of the given expression a + b is given as 45.
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What is the area of this circle? (Use 3.14 for pi)
Answers
Answer:
153.86
Step-by-step explanation:
The area formula for a circle is πr^2
so it would be 3.14 x 7 x 7= 153.86
What is the coefficient of y in the expression 3 ⋅ 6 + 4y?
3
4
10
18
Answers
Answer:
4
Step-by-step explanation:
4 is attached to y (a variable)
alguien puede ayudarme ,no lo entiendo
Answers
30%ggghjjdddfffffdffffffffffffffffffffffddfdffffff
30%
Select all true statements about the greatest common factor and least common multiple of the given numbers.
A. The greatest common factor of 50 and 75 is 25.
B. The greatest common factor of 36 and 54 is 9
C. The greatest common factor of 20 and 40 is 40.
D. The least common multiple of 5 and 9 is 45
E. The least common multiple of 4 and 6
Answers
Answer:
a. is true
b. is true
c. is false
d. true
e. 24