Answers
[tex]\cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}\\ \\\\~~~~~~~=\dfrac{3}{\sqrt{3^2 +2^2}}~~~~~~~;[\text{Pythagorean theorem.}]\\\\\\~~~~~~~=\dfrac{3}{\sqrt{9+4}}\\\\\\~~~~~~~=\dfrac{3}{\sqrt{13}}[/tex]
Related Questions
D) If Clarissa pays $84 to buy a watch after a
discount of 20%, find the original price of the
watch
Answers
Answer:
$100.80
Step-by-step explanation:
84 * 1.20 (120%) is 100.80
Answer:100.8
Step-by-step explanation:
0.2x84=16.8 so 16.8 is the discount.
84+16.8=100.8
What is the solution of log(3x+4)^125 = 3? (3x+4) is the base. 125 is the argument.
x=1/3
x=1
x=7/3
x=4
Answers
Answer:
x = 1/3
Step-by-step explanation:
[tex] = > log_{(3x + 4)}125 = 3[/tex]
[tex] = > {(3x + 4)}^{3} = 125 \: ( \because \: log_{a}b = x = > {a}^{x} = b)[/tex]
[tex] = > 3x + 4 = \sqrt[3]{125} = 5[/tex]
[tex] = > 3x = 5 - 4 = 1[/tex]
[tex] \therefore \: \: x = \frac{1}{3} [/tex]
Hope you've understood the solution.
What is the length of BD?
A. 53.3 units
B. 30 units
C. 67.5 units
D. There is not enough information to determine the length of BD.
Answers
Answer: B
Step-by-step explanation:
What is the volume of this cone? use 3.14 for π and round your answer to the nearest tenth. in your answer, give the volume of the cone rounded to the nearest tenth, and then explain how you calculated it.
Answers
Answer:
Volume of a cone = 1/3•pi r•r•h
V = 1/3•pi•2•2•8
V = 33.49333333333333
V = 33.5 inches squared
I hope this helps! Have a good day! :)
The volume of the considered cone whose heigth is 8 inches and radius of the base is 2 inches is 33.5 cubic inches approximately.
How to find volume of a right circular cone?Suppose that the radius of considered right circular cone be 'r' units.
And let its height be 'h' units.
Then, its volume is given as:
[tex]V = \dfrac{1}{3} \pi r^2 h \: \rm unit^3[/tex]
Right circular cone is the cone in which the line joining peak of the cone to the center of the base of the circle is perpendicular to the surface of its base.
The missing image for this problem is attached below.
For this case, the radius is of 2 inches, and height is of 8 inches, thus, the volume of the considered cone is:
[tex]V = \dfrac{1}{3} \pi r^2 h \: \rm unit^3 \approx \dfrac{1}{3} \times 3.14 \times (2)^2 \times 8 \approx 33.51 \approx 33.5 \: \rm in^3[/tex]
(rounded to the nearest tenth, which is first place to right of the decimal point.
Thus, the volume of the considered cone whose heigth is 8 inches and radius of the base is 2 inches is 33.5 cubic inches approximately.
Learn more about volume of a cone here:
https://brainly.com/question/26093363
Khalil is 1.65 meters tall. At 3 p.m., he measures the length of a tree's shadow to be
34.55 meters. He stands 30.4 meters away from the tree, so that the tip of his shadow
meets the tip of the tree's shadow. Find the height of the tree to the nearest
hundredth of a meter.
1.65 m
30.4 m
34-55 m
Answers
Answer:
Step-by-step explanation:
The height of the tree to the nearest hundredth of a meter is 1.875 meters.
Given that:
Khalil is 1.65 meters tall. At 3 p.m., he measures the length of a tree's shadow to be 34.55 meters. He stands 30.4 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow.
Let h be the height of khalil h = 1.65 , H be the tree height , L be the length of the tree's shadow L = 34.55 and l be the length of khalil shadow l = 30.4
Using equivalent ratios of heights:
h : H = l : L
H : 1.65 = 34.55 : 30.4
H/1.65 = 34.55/30.4
H = 34.55/30.4 * 1.65
on solving
H = 1.875 meters which is tree height
Therefore the height of the tree to the nearest hundredth of a meter is 1.875 meters.
Learn more about the height of the tree and shadow here:
https://brainly.com/question/17138922
#SPJ1
A clothing store sells shirts with long, short, or no sleeves. Each style is available in gray, red, or pink. A clerk incorrectly states the sample space for the possible color and sleeve styles as (gray, long), (gray, short), (red, long), (red, short), (pink, long), and (pink, short). Use a table to show the sample space. What error did the clerk make?
Need asap
Answers
x=[ ? ]°
х
x
What is the answer?
Answers
Answer:
x = 60
Step-by-step explanation:
Because the triangle looks like an equalateral triangle meaning all sides and angles are congruent
So triangle equals 180 degrees and 60 times 3 equals 180
Step-by-step explanation:
x + x + x = 180° ( sum of interior angle of triangle is 180°)
3x = 180°
x = 180° / 3
x = 60°
pls help me wat is 10 × 3 + 4
Answers
Answer:
34
Step-by-step explanation:
10 x 3 = 30
30 + 4 = 34
34 is the answer.
Answer:
10×3+4
=30+4
=34
hope this helps you
The area of a rectangular room is 48 square feet and the width is 2 yards. What is the length of the room?
Answers
Answer:
8 feet = 2 ²/₃ yards
Step-by-step explanation:
1 yard = 3 feet
Given width = 2 yards
⇒ width = 2 × 3 = 6 feet
Area of a rectangle = width × length
⇒ 48 ft² = 6 ft × length
⇒ length = 48 ft² ÷ 6 ft
⇒ length = 8 ft
To convert the length to yards, divide by 3:
⇒ 8 ÷ 3 = 2 ²/₃ yards
find the root of 6x^2+13×+6=0 using graphical method of quadratic equation
Answers
Answer....
Ok done. Thank to me >:33
plss help me noww if you can
Answers
Answer:
i cant see the picture at all
Step-by-step explanation:
The amount of Jake’s paycheck is directly proportional to the hours he works. After working 23 hours, his paycheck was $180.55. Determine the number of hours Jake needs to work to receive a paycheck of $290.45.
Answers
Answer:
35 hours
Step-by-step explanation:
Everly's age is 2 years more than 3 times Gage's age .If Everly is 23 years old, which equation represents how to find Gage's age ?
A 2e + 3 =23
B 2 e - 3 = 23
C 3e + 2 =23
D 3 e -2 = 23
need help please .
Answers
Answer:
Solution: C
Equation to find Gage's age: 3g + 2 = 23 (where g is Gage's age)
Step-by-step explanation:
Let e = Everly's age
Let g = Gage's age
Given:
Everly's age is 2 years more than 3 times Gage's age:⇒ e = 3g + 2
Given
Everly is 23 years old⇒ e = 23
Combine the equations to create an equation to find Gage's age:
⇒ 3g + 2 = 23
To find Gage's age, solve the equation for g:
⇒ 3g + 2 = 23
⇒ 3g = 21
⇒ g = 7
Therefore, Gage is 7 years old
Please explain this to me step by step. Thanks!
Answers
Answer:
Step-by-step explanation:
14) Amount in Harper's school lunch account = $ 75
Cos of one meal = $ 3.25
Cost of 'm' meals = 3.25 * m = 3.25m
Balance amount in Harper's account after getting 'm' meals = $ 19.75
Total amount - Cost of 'm' meals = 19.75
75 - 3.25m = 19.75
To find the value of 'm', isolate m. To isolare m subtract 75 from both sides
-3.25m = 19.75 - 75
-3.25m = -55.25
Now divide both sides by (-3.25)
m = -55.25/(-3.25)
m = 17
15) Starting height = 24 ft
Height after t seconds = 4.5*t = 4.5t
To see the river, the drone should reach the height atleast 330 ft above the ground. ⇒ It should be at the height greater than or equal to 330 ft
Initial height + height after 't' seconds ≥ 330
24 + 4.5t ≥ 330
Subtract 24 from both sides
4.5t ≥ 330 - 24
4.5t ≥ 306
Divide both sides by 4.5
t ≥ 306/4.5
t ≥ 68
He will be able to see the river from 68 seconds ( 1 minute 8 seconds) and above.
No, Imani will not be able to the river after the drone has been raising for one minute. At 1 minute 8 seconds Imani will start seeing the river. So at one minute, the drone will not have reached the required height .
What is the first step when rewriting y = 6x2 18x 14 in the form y = a(x – h)2 k? 16 must be factored from 18x 14 x must be factored from 6x2 18x 6 must be factored from 6x2 14 6 must be factored from 6x2 18x
Answers
The first step when rewriting y = 6x2 + 18x + 14 in the form y = a(x – h)2 + k is to factor out 6 from the first two terms
Writing an equation in vertex formThe standard vertx form of an expression is given as y = a(x – h)^2 + k
Given the quadratic expression given as:
y = 6x^2 + 18x+ 14
Before a quadratic equation can be transformed to its vertex form, the coefiicient of x^2 must be 1.
To do that, you will factor out 6 from the first two terms to have:
6(x^2 + 3x) + 14
Hence the first step when rewriting y = 6x2 + 18x + 14 in the form y = a(x – h)2 + k is to factor out 6 from the first two terms
Learn more on vertex form here: https://brainly.com/question/525947
The first step is factoring out the 6 from the 6x2 + 18x.
Which postulate proves these two
triangles are congruent?
A. SSA
B. HL
C. ASA
D. SAS
Answers
Answer:
B
Step-by-step explanation:
Remark
If the Hypotenuse and a corresponding leg in one right triangle = the Hypotenuse and corresponding leg of the second right triangle, then the triangles are congruent.
Answer
HL
Bob shoots off a small rocket from the balcony of his apartment. The balcony is 30 ft above the ground and the rocket travels at 40 ft/second. When does it reach the highest point? What is the highest point? When does it hit the ground (seconds)?
Answers
From the calculations;
The highest point above the ground is 112 feetThe time taken to reach this height is 8 secondsEquations of motionThe equations of motion are used in kinematics to obtain the various variables that has to do with motion.
In this case;
distance covered = 30 ft
initial velocity = 40 ft/second
Final velocity = 0 m/s at the maximum height
Hence;
v^2 = u^2 - 2gh
since v = 0
u^2 = 2gh
h = u^2/2g
h = (40)^2/2(9.8)
h = 82 feet
highest point above the ground = 82 feet + 30 feet = 112 feet
Now;
v = u - gt
since v = 0
u = gt
t = u/g
t = 40/9.8
t = 4 seconds
Time taken to hit the ground = 2(4 seconds) = 8 seconds
Learn more about kinematics:https://brainly.com/question/27126557
Multiply
−3/10xy (60xy^6)
[tex]-\frac{3}{10}xy (60xy^{6} )[/tex]
Answers
Answer:
[tex] - 18 {x}^{2} {y}^{7} [/tex]
Step-by-step explanation:
[tex] - \frac{3}{10} xy(60x {y}^{6} ) = - \frac{3}{10} (60) \times x \times x \times y \times {y}^{6} \\ = - 18 {x}^{2} {y}^{7} [/tex]
six bags of flour and 4 bags of sugar weighs 64 pounds 8 bags of flour weigh 64. all bags of flour weigh the same and all bags of sugar weigh the same. what is the ratio of one bag of flour to one bag of sugar ?
Answers
Answer:
the ratio of one bag of flour is 8
please ayudar -2x + 6 ≤ 41 + 3x
Answers
Answer:
x => -7
Step-by-step explanation:
to solve this equation you should start by subtract 6 on both sides
-2x <= 3x + 35
then subtract 3x to both sides
-5x <= 35
then you divide both sides by -5
x => -7
you must change the signs because you multiplied it by a negative
simplify (2^3)^-2
urgent need for answers
Answers
Answer:
0.015625Step-by-step explanation:
I would REALLY try to explain, but I can't find any explanation.
If this is my best, give other person brainliest.
Answer:
Exact form would be 1/64
Decimal form would be 0.015625
Step-by-step explanation:
WILL GIVE BRAINLIEST
Graph the step function over the interval
Answers
Answer:
hope this helps
a. translation; four units right and six units down
b. translation; four units left and six units down
c. rotation; 90 degrees
d. reflection; across y=-4
Answers
Answer:
b. translation; four units left and six units down
what is the value of the expression below 2816 * 7
Answers
Answer: 19,712
Step-by-step explanation: 2816 times 7 = 19712
Answer:
19,712
With multiplication, you have to follow 4 easy steps to get your answer, as listed below.Count the number of decimal places in both the multiplicand, and the multiplier.Remember to ignore decimals, you need to right align the numbers one on top of the other as if they were integers.Multiply the numbers using long multiplication, an algorithm.Make sure to insert a decimal point into the product, your final result, so that it has the same number of decimal places equal to the total of decimal places from step 1.________________________________________________________
What have we learned?We learned the four steps to solving a multiplication problem, which can be helpful here, and in the future.
Questions?Ask me in the comments box.
Determine the oreadred pair for (-10,3) when it has been reflected over the y-axis
Answers
Answer:
(10 , 3)
Step-by-step explanation:
When you reflect over the y-axis, you are flipping the sign of the x-coordinate.
Likewise, when you reflect over the x-axis, you are flipping the sign of the y-coordinate.
In this case, you are reflecting over the y-axis, and the pair given to you is (-10, 3). When you reflect over the y-axis, you must flip the sign of the x-coordinate.
(-10 , 3) reflected over the y-axis is (10 , 3).
~
a = 28, d = 10 Find the 30th term
Answers
Answer:
318
Step-by-step explanation:
Arithmetic sequence:
a = 28 ; d = 10 & n = 30
[tex]\boxed{a_{n}=a +(n-1)d}[/tex]
a₃₀ = 28 + (30 - 1)*10
= 28 + 29 *10
= 28 + 290
= 318
Sarah paid $3.84 for 32 ounces of carrots. Sue paid $5.20 for 40 ounces of carrots. Who paid less per ounce?
A. Sue
B. They paid the same amount per ounce.
C. Sarah
(Will mark brainliest and pls fast)
Answers
Answer:
C:) Sarah
Step-by-step explanation:
Sarah paid $3.84 for 32 ounces of carrots.
32 ounces = $3.84
1 ounce = x
Cross Multiply
x = $3.84/32
x = $0.12
For Sue
Sue paid $5.20 for 40 ounces of carrots.
40 ounces = $5.20
1 ounce = x
Cross Multiply
x = $5.20/40
x = $0.13
Who paid less per ounce?
Sarah paid less per ounce
PLEASE HELP 20 POINTS + BRAILYEST!!!
(no links please)
The triangle is the picture down below.
Bonnie has a really yummy sandwich that is shaped like a right triangle. There is a 3 in. line, a 5 in. line, and there’s another line that is unknown. How would solve this problem by using the Pythagorean theorem to find the missing length of one of the lines? Be sure to show all of your work.
Answers
Answer:
4 in
Step-by-step explanation:
The Pythagorean theorem tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides. Solve this problem by writing that relationship using the given information, then solving the equation for the missing side.
__
5² = 3² + ?²
25 = 9 + ?² . . . . . simplify
16 = ?² . . . . . . . . . subtract 9
4 = ? . . . . . . . . . . . take the square root
The missing length is 4 inches.
[tex] \huge\green{\overline{\underline{\rm{\purple{꧁⫷ᴀɴsᴡᴇʀ⫸꧂ }}}}} [/tex]
[tex] \large\green{\overline{\underline{\rm{\red{•••••••••••••••••••••••••}}}}} [/tex]
[tex] 5^2 = 3^2 + ( \:)^2 [/tex]
[tex] 25 = 9 + (\:) ^2 [/tex]
[tex] 16 = (\:) ^2 [/tex]
[tex] \sf \green {{=4}} [/tex]
[tex] \large\green{\overline{\underline{\rm{\blue{•••••••••••••••••••••••••}}}}} [/tex]
#CarryOnLearning
#LibreAngMatuto
Rodney’s salary increased by 15% to $48,000 annually. What was his pay before the increase?
Answers
Answer:
$41739.13
Step-by-step explanation:
We will start by creating an equation for the problem.
Set Rodney's salary before the increase as [tex]x[/tex].
Changing the 15% to a decimal and making sure it's an increase we get 1.15
If we work backwards we get the equation:
[tex](1.15)x=48000[/tex]
[tex]\text{Solving for } x\text{ we divide }48000 \text{ by } 1.15 \text{ and we get the answer of } 41739.13[/tex]
On a TV game show, a contestant makes $700 for every correct answer but loses $400 for every wrong answer. After answering 22 questions, Sarah broke even. How many questions did she answer correctly?
Answers
Answer:
She answered 8 of them correctly.
Step-by-step explanation:
