Step-by-step explanation:
11.
x is sin(60) in a circle with radius of 8.
x = sin(60)×8 = 6.92820323... ≈ 6.9
12.
x is sin(30) in a circle with radius "diagonal length".
6 is cos(30) in the same circle.
6 = cos(30)×r
r = 6/cos(30) = 6.92820323...
x = sin(30)×r = 3.464101615... ≈ 3.5
13.
similar to 12.
but we refer to the angle at the bottom right vertex.
remember, the sum of all angles in a triangle is always 180°.
so, the angle over there at the right is
180 - 90 - 68 = 22°
x = sin(22)×r
25 = cos(22)×r
r = 25/cos(22) = 26.96336857...
x = sin(22)×r = 10.10065565... ≈ 10.1
14.
9 is the sine of the complementary angle of 49 in a circle with radius x.
the complementary angle is the angle that adds up with the original angle to 90° and is therefore
90 - 49 = 41°
9 = sin(41)×x
x = 9/sin(41) = 13.71827778... ≈ 13.7
18.
we use the extended Pythagoras :
c² = a² + b² - 2ab×cos(C)
with c being the side opposite of the angle C.
so we have
LK² = 16² + 24² - 2×16×24×cos(29) =
= 256 + 576 - 768×cos(29) =
= 832 - 671.7079351... = 160.2920649...
LK = 12.66065026... ≈ 12.7
19.
law of sine
a/sin(A) = b/sin(B) = c/sin(C)
with the sides being always opposite to the corresponding angles.
to find the angle at H we need to find the angle at G first, because we don't know GF yet.
so,
28/sin(76) = 18/sin(G)
sin(G) = 18×sin(76)/28 = 0.623761538...
G = 38.59134528...°
remember the 180° rule in triangles.
H = 180 - 76 - G = 65.40865472...° ≈ 65.4°
20.
GF is now calculated using the law of sine again.
28/sin(76) = GF/sin(H)
GF = 28×sin(H)/sin(76) = 26.23980579... ≈ 26.2
Multiplication of fractions
3/4×7/15
Answer:
[tex]\frac{7}{20}[/tex] or 0.35
Step-by-step explanation:
[tex]\frac{3}{4} * \frac{7}{20} \\3*7=21\\4*15=60\\\frac{21}{60} \\[/tex]
Now simplify.
[tex]\frac{21}{60}[/tex] = [tex]\frac{7}{20}[/tex]
I have no idea how to round to the nearest cent
Solve for x. round to nearest tenth or degree, if necessary 19 32
25 POINTS !!! PLEASE HELP ITS MY LAST QUESTON!!!
A grocery store received two shipments of watermelon. Each watermelon in a shipment was weighed, then a line plot was made of all of the weights in a shipment What statement about the two plots' distributions is true?
Answer:
The degree of overlap between the two distributions is moderate.Step-by-step explanation:A grocery store received two shipments of watermelon. Each watermelon in a shipment was weighed, then a line plot was made of all of the weights in a shipment. What statement about the two plots’ distributions is true?The true statement is - option A - The degree of overlap between the two distributions is moderate.
Step-by-step explanation:
mark me brainliest!!
find the value of x please
Answer:
x=21°
Step-by-step explanation:
in the isosceles triangle, if two sides are equal,then the angles opposite those sides are equal.
so, 2x=42° ( exterior angle of a triangle is equal to the sum of the two opposite interior angles)
x=21°
What is -2x=-8-2y in slope intercept form
Answer: y = x - 4
Step-by-step explanation:
Slope intercept form is y = mx + b
Given:
-2x = -8 -2x
Add 2x and 2y to both sides of the equation:
2y = 2x - 8
Divide both sides of the equation by 2:
y = x - 4
Identify the rule relating each term in the following sequence:
11
&- 4,2,- 1,
1
a. Divide by 2
b. Divide by -2
C. Multiply by -2
d. Multipſ by 2
Answer:
B.
Step-by-step explanation:
8
—4
[tex]8 \div ( - 2) = - 4[/tex]
2
[tex]( - 4) \div ( - 2) = 2[/tex]
—1
[tex]2 \div ( - 2) = - 1[/tex]
1/2
[tex]( - 1) \div ( - 2) = \frac{1}{2} [/tex]
—(1/4)
[tex]( \frac{1}{2} ) \div ( - 2) = - \frac{1}{4} [/tex]
1/8
[tex] (- \frac{1}{4} ) \div ( - 2) = \frac{1}{8} [/tex]
the highlighted question is wrong haha please i need this by 9
x = 5, AB = 14, BC = 8
=====================================================
Explanation:
The triangles are similar, which can be proven through the angle angle theorem.
The similar triangles allow us to form the proportion below.
EB/DB = AB/BC
7/4 = (2x+4)/(x+3)
7(x+3) = 4(2x+4)
7x+21 = 8x+16
21-16 = 8x-7x
5 = x
x = 5 is part of the answer
Then we can use that x value to find the following
AB = 2x+4 = 2*5+4 = 14 is the length of AB
BC = x+3 = 5+3 = 8 is the length of BC
Anyone know the answer to this question it’s about polynomials?!!?!
Answer:
Step-by-step explanation:
x+2) x^3+0x^2+0x-4(x^2-2x+4
x^3+2x^2
- -
_______________
-2x^2+0x
-2x^2-4x
+ +
____________
4x-4
4x+8
- -
______
-12
_____
[tex]\frac{x^3-4}{x+2} =x^2-2x+4+\frac{-12}{x+2}[/tex]
If I have 999 bird(s) (thats alot) and someone comes and takes (steals) 998 bird(s) (oh no), How many bird(s) do I now have left to keep?
Answer:
the correct answer is 1 bird
Step-by-step explanation:
hope this helps
have an awesome day -TJ
may i please have brainliest
Identify the type of the pairs of angles.
∠3 and ∠5
∠1 and ∠8
∠2 and ∠6
∠1 and ∠4
∠4 and ∠5
A student completes 2/5 of a science project in 3/4 hour. At this rate, what fraction of the project can the student complete per hour?
The fraction of the fence completed in one hour at a rate of [tex]\frac{2}{5}[/tex] of the
fence in [tex]\frac{3}{4}[/tex] hours is [tex]\frac{8}{15}[/tex].
How can the fraction completed in one hour be found?The fraction of the fence completed in [tex]\mathbf{\frac{3}{4}}[/tex] of an hour = [tex]\frac{2}{5}[/tex]
Required:
The fraction of the fence the student completes per hour;
Solution;
The time [tex]\mathbf{\frac{2}{5}}[/tex] of the fence is completed = [tex]\frac{3}{4}[/tex] of an hour
Therefore;
[tex]The \ in \ \mathbf{\frac{\dfrac{3}{4} \ hour}{\dfrac{3}{4} \ hour}} = 1 \ hour \ the \ frraction \ completed = \dfrac{\dfrac{2}{5} }{\dfrac{3}{4} \ hour} = \dfrac{8}{15} \ per \ hour[/tex]
The fraction of the fence completed per hour = [tex]\underline{\frac{8}{15}}[/tex]
Learn more about fractions here:
https://brainly.com/question/21339546
In a class of 30 pupils, 12 are boys What percentage of the class are boys?
I need help on this, how many solutions does this equation have.
Answer:
only one (1) solution
Step-by-step explanation:
[tex]6 = \frac{x}{4} + 2 \\ \\ 6 - 2 = \frac{x}{4} \\ \\ \frac{x}{4} = 4 \\ \\ x = 4 \times 4 \\ \\ x = 16.[/tex]
The above equation has one solution .
A business owner purchases supplies for a laundromat and a car wash.
Part A
The owner purchases 6 cases of laundry soap, 8 cases of fabric softener, and 3 cases of bleach for the laundromat. Each case of laundry soap costs $68.45, each case of fabric softener costs $39.71, and each case of bleach costs $52.25.
Which is the best estimate of the total cost, in dollars, of the laundry items?
A. 750.00
B. 830.00
C. 890.00
D. 920.00
Part B
The owner purchases 5 buckets, 10 brushes, 48 towels, and 1 case of air fresheners for the car wash. The total cost of the purchases is $144.08. Each bucket costs $2.89, each brush costs $7.91, and each towel costs $0.36.
What is the cost, in dollars, of the case of air fresheners?
Enter your answer in the box.
Answer:
part a: is c
part b: $33.25
Step-by-step explanation:
PART A: I did 6x68.45=410.70
8x39.71=317.68
3x52.25=156.75
410.7+317.68+156.75=885.13
so the closest thing to it is c
PART B: i did
5x2.89=14.45
10x9.91=79.10
48x0.36=17.28
14.45+79.10+17.28=110.83
144.08-110.83=33.25
so the case of air fresheners was $33.25
divide 100cm in the ratio1/2:1/4:1/5 to the nearest whole number
Step-by-step explanation:
step 1: add the ratios
1/2 + 1/4 + 1/5 = 0.95
step 2: divide each ratio by the total sum of the ratios and multiply by a 100
(1/2 ÷ 0.95) × 100 = 52.63 rounded off equals to 53
(1/4 ÷ 0.95) × 100 = 26.31 rounded off equals to 26
(1/5 ÷ 0.95) × 100 = 21.05 rounded off equals to 21
These ratios should add up to a 100
so the ratio are 53 : 26 : 21
Use the distributive property to evaluate 4(2x – 1) when x = 5.
O4
O 39
O 32
O 36
Every angle in the polygon is a right angle. The area of the polygon is 426 in2. What is the length of the left side of the polygon? Show your work. help fast due in a few hours
Answer:
31 in
Step-by-step explanation:
First let's split the bottom part of the L in two parts of 19 and [tex]26-19=7 in[/tex] each. Now the whole area is made of two rectangles of sides [tex]19\times11[/tex] and [tex]7\times h[/tex],where h is the length of the left side. These two have to add up to 426 so
[tex]19\times 11 + 7\times h = 426\\209+7h = 426\\7h =217 \rightarrow h=31[/tex]
Hurry please!
Find the slope
A straight vertical line has an undefined slope.
Answer: undefined
How many solutions does the system of equations below have?
2x – 3y = -9
4х – бу = -18
Answer:
2
Step-by-step explanation:
because they have the same symbol which let's them be able to add or sybtract
What are the zeros of this function?
A) -8
B) -9 and 10
C) -2 and 4
D) 1
can someone please help me
Step-by-step explanation:
A. First, convert 30 minutes to a hour.
[tex] \frac{30 \: mins}{1} \times \frac{1 \: hour}{60 \: mins} = 0.5 \: hours[/tex]
[tex]4 + 0.5 = 4.5 \: hours[/tex]
Now, we can subsitue.
Part A: 1.
[tex]d(t) = 6 + 5.5 \cos( \frac{\pi}{6}(4.5) ) [/tex]
[tex]d(t) = 6 + 5.5 \cos( \frac{3\pi}{4} ) [/tex]
Part B:
[tex] \cos( \frac{3\pi}{4} ) = - \frac{ \sqrt{2} }{2} [/tex]
so
[tex]6 + 5.5( - \frac{ \sqrt{2} }{2} )[/tex]
which is approximately
2.11. feet.
Part C: The depth of the water is approximately 2.11 feet in 4.5 hours, or 4 hours and 30 minuties.
Michelle has a bag filled with marbles.
In which situations would the probability of drawing a blue marble from a bag for Michelle be 1/3?
HELp Find k if 64 ÷ k = 4.
Answer:
K = 16
Step-by-step explanation:
64 / 4 = 16
64 / 16 = 4
Answer:
k = 16
Step-by-step explanation:
Find k if 64 ÷ k = 4
64 / k = 4
64 / 4 = k
k = 16
What is the answer to
235 x 4035
Answer:
235 x 4035 = 948,225
Step-by-step explanation:
40 points!
Create a different equation with distributive property and show the work to solve it.
Answer:
-10(2x + 1/5)
~
1/2(x -4)
Step-by-step explanation:
-10(2x + 1/5)
Distribute -10 to all terms within the parenthesis by multiplying:
-10 * 2x = -20x
-10 * 1/5 = -10/5 = -2
-20x - 2 is your answer.
~
1/2(x -4)
Divide 2 to all terms within the parenthesis:
(x - 4)/2 = (x/2) - (4/2) = (x/2) - 2
[tex]\frac{x}{4} -2[/tex] is your answer.
~
Answer:
Here's an equation 9 (x+2)
Here's the answer to that equation 9x+18
Step-by-step explanation:
You basically multiply 9 times (x+2) but since you don't know what x is you multiply 9 to each number (or variable) individually. So 9(x) + 9(2). The resulting equation is 9x + 18
[tex]9(x+2)[/tex]
[tex]9(x)+9(2)[/tex]
[tex]9x + 18[/tex]
how do find the area
Answer:
112-40=72in............
......
Write the equation of the line that passes through (3, 4) and (2, −1) in slope-intercept form.
Answer: y=5x-11
Step-by-step explanation:
please hurry find the measure of S
Answer:
m∠S = 29.5
Explanation:
Q
S [tex]\huge\boxed {\sf \triangle}[/tex] R
In this triangle, QR = SQ, which means its an isosceles triangle, angle S and R is similar.
Thus solve:
m∠S = (180° - 121°)/2
m∠S = 29.5°
∆QRS is isosceles
QR=SQSo
<Q=<S=121°
500 POINTS PLEASE HELP FASTEST ANSWER WILL BE MARKED BRAINLIEST
PLEASE HELP ME IM SO DESPERATE LITERALLY DUE IN 5 MINUTES PLEASE HELP!!!!!!!!!
( help with number 6)
Answer:
Five number summary
Step-by-step explanation:
I just relearned this yesterday