Answer:
I'll setup the problem and you can do the calculations
Step-by-step explanation:
Total length of straw - L
Length of piece 1 - x
Length of piece 2 - y
Length of piece 3 - z
What's given and the answer to (i)
y = x - 3
z = 2x
(ii) L = x + y + z = x + x - 3 + 2x
L = 4x-3
(iii) x = (21+3)/4 = 24/4
leaving you to calculate x
then substitute x into expressions for y & z above and you will have the answer
comment if you have questions
Find (4.0×105)÷(5.89×102) by using a calculator. Give your answer in scientific notation and round to two decimal places.
Answer: [tex]7\times 10^{-1}[/tex]
Step-by-step explanation:
Given
[tex](4.0\times 105)\div (5.89\times 102)[/tex]
First solve the brackets part in calculator, we obtain
[tex]\Rightarrow 420\div 600.78\\\\\Rightarrow \dfrac{420}{600.78}=0.69909\approx 0.70\\\\\Rightarrow 7\times 10^{-1}[/tex]
PLEASE HELP MEE pleaseee
Answer:
x = 15 and y = 7
Step-by-step explanation:
x = 2y + 1
x + y - 8 = 14
Let's substitute the value of x in the second equation:
(2y + 1) + y - 8 = 14
3y -7 = 14
3y = 14 + 7
3y = 21
y = 21/3
y = 7
And now you substitute the value of y in the first equation:
x = 2•7 + 1
x = 14 + 1
x = 15
HELPpppp
A standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades. Four cards are drawn from the deck at random.
What is the approximate probability that exactly three of the cards are diamonds???
Answer:
0.25 is the probability
Step-by-step explanation:
If there are 13 diamonds in a deck of 52 cards, dividing 13 by 52 will get you 0.25. This is the probability of getting a diamond from the deck of 52 cards.
Which of the following is an arithmetic sequence with a common difference of +3?
A) 17, 14, 11, 8, ...
B) 1, 3, 9, 12, ...
C) 4, 7, 10, 13, ...
D) 12, 15, 19, 24, ...
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
77 - 2n
Step-by-step explanation:
77 is being subtracted by a number doubled. Therefore, 77 - 2n is the expression.
What is the experimental probability of popping a polka dot balloon? Express your answer as a fraction,decimal, and percent
Answer:
Experimental probability [popping a polka dot balloon] = 1 / 8
Step-by-step explanation:
Missing information;
Number of striped balloons = 17
Number of solid balloons = 18
Number of polka dot balloons = 5
F ind:
Experimental probability [popping a polka dot balloon]
Computation:
Experimental probability [popping a polka dot balloon] = Number of polka dot balloons / Total number of balloons
Experimental probability [popping a polka dot balloon] = 5 / [17 + 18 + 5]
Experimental probability [popping a polka dot balloon] = 5 / 40
Experimental probability [popping a polka dot balloon] = 1 / 8
What is the value of x? Round the answer to the nearest tenth
Answer:
The answer is A.
Step-by-step explanation:
The answer is A because an obtuse angle rounds to 120 degrees, then you divide it by 6 which is A.
Nicholas graphed a triangle with vertices of (2, 4), (2, 0) and (5, 0). His classmate, Suzi, graphed a similar
triangle with a perimeter of 36 units. What was the area of Suzi's triangle? Show all work to support your
answer.
An
Step-by-step explanation:
What is the period of the graph of y
5cos(4x + 1) + 3?
Answer:
period=(2π-1)/4
Step-by-step explanation:
4x+1=2π
4x=2π-1
x=(2π-1)/4
Answer:
Period is [tex]\frac{\pi}{2}[/tex]
Step-by-step explanation:
For the function [tex]y=acos(bx-c)+d[/tex], the period is [tex]\frac{2\pi}{|b|}[/tex].
Therefore, the period of the function is [tex]\frac{2\pi}{|b|}=\frac{2\pi}{|4|}=\frac{2\pi}{4}=\frac{\pi}{2}[/tex].
What this means is that the function's wave cycle will repeat every [tex]\frac{\pi}{2}[/tex] units.
Sorry can someone help please…
The vertices of the parallelogram below are given. Use matrices to find the area.
A (0, 0) B (-2, 3) C(4, -1) and D(2, 2) HELP PLEASE HURRY
Answer:
B
Step-by-step explanation:
Pleaseeeeeeee help me
Answer:
The answer is "The discriminant is positive"
Step-by-step explanation:
When the discriminant is positive there is two real solutions.
When the discriminant is equal to 0, there is one real solution.
When the discriminant is negative, there is no real number solutions.
How much total money will Kiara have to pay back at the end of the 9 years?
Answer:
a= $29,505. it. is useful answer
Please I need help with this math homework ASAP thank you!
Answer:
4
[tex] \sqrt{4} = 2 \\ \\ \sqrt{2} \times \sqrt{8 } = \sqrt{16} \\ \\ \sqrt{16} = 4[/tex]
An airplane took off at a constant angle of elevation. After the plane traveled for 25 miles, it reached an altitude of 5 miles. To the nearest tenth of a degree, what was the angle of elevation?
Answer:
11.5 degrees
Step-by-step explanation:
For future reference trianglecalculator.net is very helpful
The angle of elevation to the nearest tenth of a degree is 11.54°.
What is an angle of elevation?An angle of elevation is defined as the angle between the slant horizontal line of an eye and the object in relation to the baseline called the adjacent.
In trigonometry, the angle of elevation can be determined by using the sine rule.
[tex]\mathbf{sin \ \theta = \dfrac{opp}{hyp} }[/tex]
[tex]\mathbf{sin \ \theta = \dfrac{5}{25} }[/tex]
[tex]\mathbf{ \theta =sin^{-1} (0.2)}[/tex]
[tex]\mathbf{ \theta =11.54^0}[/tex]
Learn more about the angle of elevation here:
https://brainly.com/question/88158
100 POINT PLEASE HELP QUICK!!!!
Answer:
[tex]adjacent = \sqrt{ {50}^{2} - {14}^{2} } = 48 \\ \\ \sin(Q) = \frac{14}{50} = \frac{7}{25} \\ \cos(Q) = \frac{48}{50} = \frac{24}{25} \\ \tan(Q) = \frac{14}{48} = \frac{7}{24} [/tex]
[tex] \sin(R) = \frac{48}{50} = \frac{24}{25} \\ \cos(R) = \frac{14}{50} = \frac{7}{25} \\ \tan(R) = \frac{48}{14} = \frac{24}{7} [/tex]
Base
√50²-14²√2500-196√48²48Now
sinQ=P/H=14/50cosQ=B/H=48/50tanQ=P/B=14/48cotQ=B/P=48/14secQ=H/B=50/48cosecQ=H/P=50/14Which of the following ordered pairs is not in the solution set of y < 2x − 5? Question 27 options: (4, 3) (5, 0) (0, −7) (6, 4)
Answer:
[tex](4,3)[/tex]
Step-by-step explanation:
If the solution would've been written has y ≤ 2x - 5, [tex](4,3)[/tex] would've been a solution
Interior and exterior triangle angles
Answer:
m<S = 38°
Step-by-step explanation:
Given:
m<R = (x + 17)°
m<S = (2x - 2)°
m<T = (5x + 5)°
Required:
m<S
Solution:
First, we will need to determine the value of x by creating an equation. Thus:
m<R + m<S + m<T = 180° (sum of triangle)
Plug in the values
(x + 17)° + (2x - 2)° + (5x + 5)° = 180°
x + 17 + 2x - 2 + 5x + 5 = 180
Add like terms
8x + 20 = 180
8x + 20 - 20 = 180 - 20
8x = 160
8x/8 = 160/8
x = 20
Find m<S:
m<S = 2x - 2
Plug in the value of x
m<S = 2(20) - 2 = 40 - 2
m<S = 38°
Solution
We know the angles here are vertical angles and we know that vertical angles are always congruent
Answer:
4 + 6x = 70
6x = 66
x = 11
Two semicircles are drawn inside of a circle with radius 8 inches as shown below. Find the area of the shaded region. Round your answer to the nearest tenth (0.1).
Answer:
Step-by-step explanation:
two semicircles each of diameter 8 inches makes one circle with diameter=8 in.
radius r=8/2=4 in.
area of shaded region= πr^2=π×4²=16 π in²
≈16×3.14
≈50.24
≈50.2 in²
What is the range of this set of data?
Answer: B) [tex]0 \le y \le 100[/tex]
====================================================
Explanation:
The range is the set of possible y outputs. Visually, we look for the highest and lowest points to determine that range of y values. The lowest point occurs when y = 0, which is the left-most point of the graph. The highest point is when y = 100 where the peak is.
So we say that y is between 0 and 100, including both endpoints to lead to the inequality [tex]0 \le y \le 100[/tex]
The range in interval notation is [0, 100]. The square brackets say to include the endpoints.
------------
Side note: The domain appears to be [tex]2.5 \le x \le 9.5[/tex] since the left-most point seems to have the x coordinate x = 2.5 and the right-most point seems to have the x coordinate x = 9.5. The domain is the set of all possible x inputs. So if your teacher was asking about the domain, then the answer would be C.
the value of x which makes 2/3(1/4x-2)=1/5(4/3x-1)
PLEASE ANSWER ASAP 45 POINTS !!!
Answer:
x= -34/3
Step-by-step explanation:
just solve by multiplying both sides by 15, then distribute 10 and 3 through the parenthesis, multiply both sides by 2, move the variable to the left side and change the sign, move the constant and change the sign, combine like terms, calculate the sum, and finally divide both sides by -3
helppppp meeee, I need all three, I need an explanation tooo
Answer:
Step-by-step explanation:
for the first one: d
Check 2. The circumference of a circle is C centimeters. The diameter of the circle is 6 centimeters. Write an expression that represents the value of n.
Answer:
radius of circle = 3cm
circumference = 18.84cm
diameter = 6cm
Step-by-step explanation:
if the diameter of circle is 6cm
radius of circle = diameter/2
= 6/2
= 3
circumference of circle = 2[tex]\pi[/tex]r
= 2 x 3.14 x 3
= 6.28 x 3
= 18.84
Mark me as braniestWhat is the solution to the inequality |X-4 <3?
Answer:
x<7
therefore {x:x<7}
Step-by-step explanation:
x-4<3
x<3+4
x<7
The solids are similar. Find the volume of solid B. Write your answer in terms of pi.
Two cylinders are shown. The cylinder at the left is labeled Cylinder A, and the radius of the base is labeled 12 inches. At the bottom of the cylinder reads, V equals 4608 pi cubic inches. The cylinder at the right is labeled Cylinder B, and the radius of the base is labeled 15 inches.
Help please!
69,120
Step-by-step explanation:
You multiply 15 times 4608
The volume of solid B cylinder is 9000π cubic units.
What is a cylinder?
A cylinder is a 3-D solid figure that has two identical circular bases joined by a curved surface at a fixed distance from the center, that is the height of the cylinder.
For the given situation,
Cylinder A:
Let the radius of cylinder A be r1 = 12 inches
Let the height of cylinder A be h1
The volume of the cylinder A, V1 = 4608 π cubic inches
Cylinder B:
Let the radius of cylinder A be r2 = 15 inches
Let the height of cylinder A be h2
The volume of the cylinder A, V2
The formula of volume of cylinder is
[tex]V=\pi r^{2}h[/tex]
For cylinder A,
⇒ [tex]4608\pi =\pi (12)^{2}h1[/tex]
⇒ [tex]h1=\frac{4608}{144}[/tex]
⇒ [tex]h1=32[/tex]
Cylinder A and cylinder B are similar, so
[tex]\frac{h1}{h2} =\frac{r1}{r2}[/tex]
⇒ [tex]\frac{32}{h2} =\frac{12}{15}[/tex]
⇒ [tex]h2=\frac{(32)(15)}{12}[/tex]
⇒ [tex]h2=40[/tex]
Volume of cylinder B is
⇒ [tex]V=\pi (15)^{2}(40)[/tex]
⇒ [tex]V=9000\pi[/tex]
Hence we can conclude that the volume of solid B cylinder is 9000π cubic units.
Learn more about cylinders here
https://brainly.com/question/15891031
#SPJ2
Three boys and four girls enter a contest at the local movie theater. A randomly chosen winner will be awarded a free movie ticket, a collectible poster, or free popcorn. What is the probability that a girl will win free popcorn?
A. 3/21
B. 4/21
C. 3/7
D. 4/7
Answer:
D. 4/7
Step-by-step explanation:
There are 7 people in people and there are 4 girls, that would be 4/7.
what do you think the soultion is to the queation. I need help???
Answer:
w = 16, x = 11, y = 6, z = 7.5
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original.
scale factor = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]
Then by proportion
[tex]\frac{12}{w}[/tex] = [tex]\frac{3}{4}[/tex] ( cross- multiply )
3w = 48 ( divide both sides by 3 )
w = 16
----------------
[tex]\frac{x}{12}[/tex] = [tex]\frac{3}{4}[/tex]
4x = 36
x = 9
-------------------
[tex]\frac{4.5}{y}[/tex] = [tex]\frac{3}{4}[/tex]
3y = 18
y = 6
----------------------------
[tex]\frac{z}{10}[/tex] = [tex]\frac{3}{4}[/tex]
4z = 30
z = 7.5
If two points on a line are given by (-7, -1) and (-7, 12), we would say the line equation is?
[tex] \large{ \tt{❃ \: SOLUTION}} : [/tex]
Remember : To find the equation of straight line passing through given points ( x₁ , y₁ ) and ( x₂ , y₂ ) , Use [tex] \tt{y - y_{1} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}(x - x_{1}}) [/tex]Let the given points ( -7 , -1 ) be ( x₁ , y₁ ) & ( -7 , 12 ) be ( x₂ , y₂ ).[tex] \underline{ \large{\tt{❁ \: USING \: TWO - POINT \: FORM \: OF \: EQUATION \: OF \: LINE : }}}[/tex]
[tex] \boxed{ \large{ \tt{❈ \: y - y_{1} = \frac{y_{2} - y _{1}}{x_{2} - x_{1}} (x - x_{1})}}}[/tex]
[tex] \large{ \tt{↦y - ( - 1) = \frac{12 - ( - 1)}{ - 7 - ( - 7)} \{x - ( - 7) \}}} [/tex]
[tex] \large{ \tt{↦y + 1 = \frac{12 + 1}{ - 7 + 7}(x + 7)} }[/tex]
[tex] \large \tt \:↦ \: y + 1 = \frac{12}{0} (x + 7)[/tex]
[tex] \large{ \tt{↦ \: y + 1 = 12(x + 7)}}[/tex]
[tex] \large{ \tt{↦y + 1 = 12x + 96}}[/tex]
[tex] \large{ \tt{↦ \: 12x + 96 = y + 1}}[/tex]
[tex] \large{ \tt{↦ \: 12x - y + 96 - 1 = 0}}[/tex]
[tex] \large{ \boxed{ \tt↦12x - y + 95 = 0}}[/tex]
Hence , 12x - y + 95 = 0 is the required equation of the line.✺ STUDY HARD ! No matter if it seems impossible , no matter if it takes time , no matter if you have to wake up all night , Just remember that the feeling of success is the best thing in the entire world. ♪
۵Hope I helped ! ツ
☼Have a wonderful day / evening ! ☃
# StayInAndExplore ! ☂
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What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)?
O A. y=3x+4
OB. y= 3x - 14
O cy=3x-4
OD. y= 3x+12
Answer:
y = 3x + 4
Step-by-step explanation:
Given:
Coordinates
(-3 , -5)
Slope m = 3
Find;
Equation of slope
Computation:
Given, x1 = -3 and y1 = -5
Equation of slope = y - y1 = m(x - x1)
Equation of slope = y - (-5) = 3(x + 3)
Equation of slope = y + 5 = 3x + 9
Equation of slope = y = 3x + 9 - 5
Equation of slope = y = 3x + 4
y = 3x + 4
