Answer:
C. b= a+4
Step-by-step explanation:
How you should answer:
1. Known:
2.Unknown:
3.Rationle:
4.Equation and Solution:
Steps on how to answer:
-State the known
-State the unknown and represent it with a variable
-Provide a rationale for your approach
-Include the equation, exact answer, and decimal approximation
Question 1
Focus on the triangle on the left.
sine is the ratio of opposite over hypotenuse
sin(angle) = opposite/hypotenuse
sin(44) = w/30
w = 30*sin(44)
w = 20.839751 approximately
Now move onto the triangle on the right. We'll use cosine this time.
cos(angle) = adjacent/hypotenuse
cos(x) = w/45
cos(x) = 20.839751/45
cos(x) = 0.463106
x = arccos(0.463106) ... arccosine is the same as [tex]\cos^{-1}[/tex]
x = 62.412286
Answers:w = 20.839751 approximatelyx = 62.412286 approximately==========================================================
Question 2
Focus on the triangle on the left.
sin(angle) = opposite/hypotenuse
sin(32) = w/5
w = 5*sin(32)
w = 2.649596
Now move to the triangle on the right.
sin(angle) = opposite/hypotenuse
sin(x) = w/5
sin(x) = 2.649596/5
sin(x) = 0.5299192
x = arcsin(0.5299192) .... arcsine is the same as [tex]\sin^{-1}[/tex]
x = 31.999996
Answers:w = 2.649596 approximatelyx = 31.999996 approximately==========================================================
Question 3
This time we use the tangent ratio.
Focus on the triangle that has legs of w and 16.
tan(angle) = opposite/adjacent
tan(70) = 16/w
w*tan(70) = 16
w = 16/tan(70)
w = 5.823524
Now let y = x+w and focus on the largest triangle this time.
tan(angle) = opposite/adjacent
tan(41) = 16/y
y = 16/tan(41)
y = 18.405895
This leads to:
y = x+w
x = y-w
x = 18.405895 - 5.823524
x = 12.582371
Answers:w = 5.823524 approximatelyx = 12.582371 approximatelyneed some help with these questions in the image
a. answer:_77
2_ (7 * 9) _ 16
2_ (63) _16
_61_16
_77
The students in a class collected data on the number of minutes some of them spend
brushing their teeth every day. That data is shown in the dot plot below.
What was the median number of minutes students brushed
their teeth?
Answer:
2.5
Step-by-step explanation:
BASED ON GIVEN DATA:
⇒ 2 STUDENTS SPENT 2.5 (2 1/2) MINUTES
⇒ 1 STUDENT SPENT 3 MINUTES
⇒ 1 STUDENT SPENT 4.5 MINUTES
THE MOST COMMON AMOUNT OF TIME TAKEN IS 2.5 MINUTES BECAUSE OF THE 2 STUDENTS.
Answer: 0.5 minutes
Step-by-step explanation:
Select the expression equivalent to (4.5x + 3.1) - (-3x - 5).
a
7.5x + 1.9
b
7.5x - 1.9
7.5x + 8.1
d.
7.7x - 1.9
Answer:
Option C :- 7.5x + 8.1
Step-by-step explanation:
Let's simplify step-by-step.
4.5x+3.1−(−3x−5)
Distribute the Negative Sign:
=4.5x+3.1+−1(−3x−5)
=4.5x+3.1+−1(−3x)+(−1)(−5)
=4.5x+3.1+3x+5
Combine Like Terms:
=4.5x+3.1+3x+5
=(4.5x+3x)+(3.1+5)
=7.5x+8.1
Answer:
=7.5x+8.1
If there are 40% of girls and 250 are boys, find
(i) the total number of students
(ii) the number of girls.
Step-by-step answer:
If there are 40% students that are girls , and the rest are 250 boys. Then that must mean there are 60% boys. Because that is the compliment.
i)
Because we know that 60% of the people in the group are boys, and that the amount of boys amounts to 250, we can model an equation like this.
[tex]Total * 0.6 = 250[/tex].
[tex]Total = 250/0.6[/tex]
[tex]Total = 417[/tex]
There are 417 students
ii)
Because we know that the total amount is 417, we can find the amount of girls there are by multiplying the total by the percentage.
[tex]417 * 0.4 = 167[/tex]
There are 167 students that are girls.
Please help me yall I am so done with hw
Cities are pretty far from each other so you would have to use miles
Answer: the answer is d which is Miles .
Step-by-step explanation: it is Miles because there is a far distance bbetween Cities .HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST . THANKS .
When you use a (______________), you pay for your purchases later.
A credit card
B checking account
C deposit
D credit score
Answer:
A. credit card
Step-by-step explanation:
When using a credit card, the bank is paying for you. Overtime through bills you will pay that amount back usually with interest.
1. What is the magnitude and direction of RS with tail and head points R(4, -6) and S(-2, 1)?
a.9.2 units, 49.4° south of east
b.10.4 units, 40.6 ° south of east
c.9.2 units, 49.4 ° north of west
d. 10.4 units, 40.6 ° north of west
The magnitude and the direction of the vector formed by (4, 6) and (-2, 1) are [tex]\sqrt{85}[/tex] (approx. 9.2 units) and 49.4° north of west. (Correct choice: C)
How to find the magnitude and the direction of a vectorFirst, we need to determine the expression of [tex]\overrightarrow {RS}[/tex] by vector sum:
[tex]\overrightarrow{RS} = S(x,y) - R(x,y)[/tex]
[tex]\overrightarrow{RS} = (-2, 1) - (4, -6)[/tex]
[tex]\overrightarrow {RS} = (-6, 7)[/tex]
The magnitude and the direction of the vector are determined by Pythagorean theorem and inverse trigonometric functions, respectively:
Magnitude[tex]\|\overrightarrow{RS}\| = \sqrt{(-6)^{2}+7^{2}}[/tex]
[tex]\|\overrightarrow{RS} \| = \sqrt{85}[/tex]
Directionθ = tan⁻¹ (7/-6)
θ ≈ 130.601°
The magnitude and the direction of the vector formed by (4, 6) and (-2, 1) are [tex]\sqrt{85}[/tex] (approx. 9.2 units) and 49.4° north of west. (Correct choice: C) [tex]\blacksquare[/tex]
To learn more on vectors, we kindly invite to check this verified question: https://brainly.com/question/13322477
∠C and ∠D are complementary.
Let m∠C=(8x)° and m∠D=(5x−1)°.
What is the value of x?
Enter your answer in the box.
x =
Answer:
x = 7Step-by-step explanation:
Complementary angles are angles that add up to 90°.
We have C and D as complementary.
Their sum is:
m∠C + m∠D = 90Substitute values and solve for x:
8x + 5x - 1 = 9013x = 90 + 113x = 91x = 91/13x = 7Answer:
x = 7
Step-by-step explanation:
Complementary angles are two angles that sum up to 90°. In this case, we are given that ∠C and ∠D are complementary. This means that the sum of ∠C and ∠D is equivalent to 90°.
⇒ ∠C + ∠D = 90°
⇒ 8x + 5x - 1 = 90° [∠C = 8x; ∠D = 5x - 1]
⇒ 13x - 1 = 90°
⇒ 13x = 90 + 1
⇒ 13x = 91
⇒ 13x/13 = 91/13
⇒ x = 91/13 = 7
A shop increases all their prices by 9% A picture frame increases by £153 Find the new price of the picture frame.
The new price of the picture frame is £1853
Discounts and incrementsGiven the following parameters
Percentage increase = 9%
Increment = £153
Determine the original value if the frame
9% of x = £153
0.09x = £153
x = £153/0.09
x = £1700
New price = £1700 + £153
New price = £1853
Hence the new price of the picture frame is £1853
Learn more on discount here; https://brainly.com/question/1548141
The question is in the attachment.
Answer:
0.0816
Step-by-step explanation:
Given:
Total number of students = 5000Number of students taking an online class = 1200Number of students prefer watching baseball to football = 1700Let O = Students taking an online class
Let B = Students prefer watching baseball to football
Therefore,
P(O) = 1200/5000 = 0.24
P(B) = 1700/5000 = 0.34
If events O and B are independent,
⇒ P(O ∩ B) = P(O) · P(B)
= 0.24 × 0.34
= 0.0816
pls help with this Its on ixl
Answer:
142 cm squared
Step-by-step explanation:
the formula used was 2(lw + wh +lh)
where l is length
w is width
and h is height
Answer:
142
Step-by-step explanation:
5 x 3 = 15 Times by 2 = 30
7 x 5 = 35 Times by 2 = 70
7 x 3 = 21 Times by 2 = 42
Will choose Brainliest.
Jessica and Martha each have a bag of cookies with unequal quantities. They have 30 cookies total between the two of them. Each of them ate 6 cookies from their bag. The product of the number of cookies left in each bag is not more than 80.
How many more cookies will Jessica have than Martha?
If x represents the number of cookies Jessica started with, complete the statements below.
The inequality that describes the relationship between the number of cookies each one of them has is x^2- _ x + 224 ≥ 0
Jessica has at least
_ cookies more than Martha.
That part is total cookies as per algebraic formula x^2-(a+b)x+ab=0
Hence
The inequality is
[tex]\\ \rm\rightarrowtail x^2-30x+224>=0[/tex]
[tex]\\ \rm\rightarrowtail (x-14)(x-16)>=0[/tex]
[tex]\\ \rm\rightarrowtail 14\leqslant x\leqslant 16[/tex]
Solution range
[14,16]Atleast means the range
16-142Atleast 2 more than Martha
Inscribed angle
Help please
Answer:
x = 3
Step-by-step explanation:
The measure of the inscribed angle is half of measure of the intercepted arc .
Find the half of 192.
192/2 = 96
The inscribed angle is 96°.
Create an equation and solve for x.
31x + 3 = 96
31x + 3 - 3 = 96 - 3
31X = 93
31x/31 = 93/31
x = 3
can you help me figure this out?
Answer:
D. $8 per hour
Step-by-step explanation:
The rate of pay is found by dividing the pay by the number of hours it is for.
$40/(5 h) = $8/h
The worker gets paid $8 per hour.
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
Which of the following linear equations represents the data chart?
Answer:
option C
Step-by-step explanation:
y = -x + 7
Hope this helps you
change 1.77 tones to kilograms
Answer:
1.77 Tones = 1770 Kilograms
Step-by-step explanation:
Multiply the value of the tone by 1000 to get KG
1.77 x 1000 = 1770
convert 0.001 * km ^ 3 into m ^ 3
Answer:
[tex]1,000,000 \: {m}^{3} [/tex]
Step-by-step explanation:
[tex]0.001 \: {km}^{3} \\ \\ = 0.001 \times {(1000)}^{3} \\ \\ = 0.001 \times 1,000,000,000 \\ \\ = 1,000,000 \: {m}^{3} [/tex]
There are 63 female performers in a dance recital. the ratio of men to women is 5:9. how many men are in the dance recital?
Write an expression equivalent to 6 — 2.2 +5+ 4. that only has two
terms.
Answer:
3.8 + 9?
Step-by-step explanation:
No links no files, please help! I'll give brainest!
Answer:
A = 35 units²Step-by-step explanation:
Calculate the area of the larger and smaller rectangle and subtract the smaller from the larger.
The formula of an area of a rectangle a x b:
A = a · b
Smaller rectangle 5 x 7:
As = 5 · 7 = 35
Larger rectangle (2 + 5) x (7 + 3) → 7 x 10:
Al = 7 · 10 = 70
The area of the shaded region:
A = Al - As
substitute:
A = 70 - 35 = 35
(Little tricky; worth extra points )
Which series of transformations shows that pentagon A is congruent to Pentagon B?
A. Reflect pentagon A over the y-axis, rotate it 180 degrees clockwise about the origin, and translate it 3 units up
B. Rotate pentagon A 90 degrees clockwise about the point (1,1) reflect it over the x-axis, and translate it 3 units to the left.
C. Rotate pentagon A 90 degrees clockwise about the origin, reflect it over the x- axis, and translate it 6 units to the left.
D. Reflect pentagon A over the y-axis and translate it 2 units to the left and 8 units up.
Answer:
i am pretty sure it's A or B
Step-by-step explanation:
hope this helps
→(·°ω°·)←
Tony is working on an arithmetic sequence where t(1) =4 and t(8) =67 Write the explicit equation and recursive equation for this sequence. Is 500 a term of the sequence? Explain why or why not.
This can go on forever, we can then establish the recursive formula which states:
t(n+1)=t(n)+dort(n)=t(n-1)+dExplicit formula:t(2)=t(1)+d
t(3)=t(2)+d, but t(2)=t(1)+d
t(3)=t(1)+d+d
t(3)=t(1)+2d
t(4)=t(1)+3d
t(n)=t(1)+(n-1)dWe can calculate d for these equations:t(8)=t(1)+7d67=4+7d7d=63d=9Explicit relation:t(n)=4+9(n-1)t(n)=9n-5Recursive relation:t(n)=t(n-1)+9t(500)=9(500)-5=4500-5=4495How may you rethink the way you choose people in a group? No links please or I will report you. The best explanation gets Brainliest!
Step-by-step explanation:
How to rethink the way you choose people in a group is to figure out if they like you or not. Don't chose people that do not like you because they will not work well with you. Pick the people you feel will help you succeed in the group. And sometimes the people you pick in your group aren't even your friend, but they can help you succeed by staying on task and focusing on the task at hand.
X + 4y = 7 4x - 3y = 9 equivalent equation and solution
Answer:
x = 3, y = 1
Step-by-step explanation:
Given:
[tex]\begin{bmatrix}x+4y=7\\ 4x-3y=9\end{bmatrix}[/tex]
Solve:
[tex]\mathrm{Substitute\:}x=7-4y[/tex]
[tex]\begin{bmatrix}4\left(7-4y\right)-3y=9\end{bmatrix}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]\begin{bmatrix}28-19y=9\end{bmatrix}[/tex]
[tex]\mathrm{For\:}x=7-4y[/tex]
[tex]\mathrm{Substitute\:}y=1[/tex]
[tex]x=7-4\cdot \:1[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x=3[/tex]
[tex]\mathrm{The\:Answer\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=3,y=1[/tex]
Check Answer:
3 + 4(1)
7 (1) = 7
True
4(3) - 3(1)
12 - 3 = 9
True
Hence, x = 3 , y =1
~lenvy~
Find the measure of
HELP ME PLS. brainy reward it is about hangers.
The Problem: 20/3x = 5(x+1/2) + 4/3
20/3 , 1/2 , 4/3 are fractions. Solve for x
Answer:
x=23/10
Step-by-step explanation:
the dash is a fraction
sin^-1(√3-1/2√2)
please give me answer
use a calculator and the correct answer is 0.019134405
and then round off the that answer into 2 significant number
sin^-1(√3-1/2√2)
please give me answer
type of angle that has the sallest measure
Answer: acute angle
Step-by-step explanation: acute angle is the smallest starting from 0 to 90 DDegrees .