Jacob and issac decided to run to the basketball court after school the basketball court is 5 1/4 Miles from school the boys run at a pace 3 3/8 miles per hour
Answers
Answer: [tex]1\dfrac{5}{9}\text{ minutes}[/tex]
Step-by-step explanation:
Complete question is provided in the attachment below.
Given: Jacob and Issac decided to run to the basketball court
Distance between basketball court and school = [tex]5\dfrac{1}{4}[/tex] miles
[tex]=\dfrac{21}{4}[/tex] miles
Speed = [tex]3\dfrac{3}{8}[/tex] miles per hour
[tex]=\dfrac{27}{8}[/tex] miles per hour
Since, time = (distance) ÷ ( speed)
Now, the time taken by boys to arrive at the basketball court = [tex]\dfrac{21}{4}\div\dfrac{27}{8}[/tex] hours
[tex]=\dfrac{21}{4}\times\dfrac{8}{27}\\\\=\dfrac{7\times2}{9}=\dfrac{14}{9}\\\\=1\dfrac{5}{9}\text{ minutes}[/tex]
Hence, the required length of time = [tex]1\dfrac{5}{9}\text{ minutes}[/tex]
Related Questions
Please answer it now in two minutes
Answers
Answer:
∠ I ≈ 60.3°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan I = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{HG}{GI}[/tex] = [tex]\frac{7}{4}[/tex] , thus
∠ I = [tex]tan^{-1}[/tex] ([tex]\frac{7}{4}[/tex] ) ≈ 60.3° ( to the nearest tenth )
the answer is 10 by root 65 so the answer is 10
A 450m long field is drawn to a scale 1cm to 90cm.find the lenth of drawing
Answers
Answer:
5 cm
Step-by-step explanation:
The length of the drawing will be 450 / 90 = 5 cm.
A student stands 20 m away from the footof a tree and observes that the angle of elevation of the top of the tree, measured from a table 1.5 m above the ground, is 34°28'. Calculate the height of the tree tothe nearest metre.
Answers
Answer:
6 to the north
Step-by-step explanation:
mark as brainliest
how do you know if the solutions to a quadratic equation are inside, outside, on, inside and on, or outside and on the parabola??
Answers
Answer:
Plug in the x and y values into the equation
Step-by-step explanation:
Please help.............
.
Answers
Answer:
The length of arc is (7/12)π cm.
Step-by-step explanation:
Given that the formula to find the length of arc is Arc = (θ/360)×2×π×r where θ represents degrees and r representa radius. Then you have to substitute the following values into the formula :
[tex]arc = \frac{θ}{360} \times 2 \times \pi \times r[/tex]
[tex]let \: θ = 30 \\ let \: r = 3.5[/tex]
[tex]arc = \frac{30}{360} \times 2 \times \pi \times 3.5[/tex]
[tex]arc = \frac{1}{12} \times 7 \times \pi[/tex]
[tex]arc = \frac{7}{12} \pi \: \: cm[/tex]
Please answer this in two minutes
Answers
Answer: 1080 degrees
Hoped this helped :)
An observer on the top of a lighthouse observes the angles of depression of two ship at anchor to be 75 and 45 respectively. Find the distance between the two ships if the line joining them points to the base of the light house which is 100 meters high. (use tan 15 = 0.27) Answer should be 73 meter.
Answers
Answer:
Distance between two ships = 73 units
Step-by-step explanation:
Note:
tangent = opposite / hypotenuse
Referring to diagram,
Distance of ship A from tower = 100 tan(90-45) = 100 units
Distance of ship B from tower = 100 tan(90-75) = 100 tan (27) = 27 units
Distance between two ships = 100-27 = 73 units
As mountain climbers know, the higher you go, the cooler the temperature gets. At noon on July 4th last summer, the temperature at the top of Mt. Washington — elevation 6288 feet — was 56◦F. The temperature at base camp in Pinkham Notch — elevation 2041 feet — was 87◦F. It was a clear, still day. At that moment, a group of hikers reached Tuckerman Junction — elevation 5376 feet. To the nearest degree, calculate the temperature the hikers were experiencing at that time and place. When you decided how to model this situation, what assumptions did you make?
Answers
Answer:
The temperature at 5376 ft is approximately 63°F
The assumption made was that the temperature varies linearly with elevation
Step-by-step explanation:
The parameters given are;
Temperature at 6288 feet = 56°F = 286.5
Temperature at 2041 feet = 87°F = 303.71
We are to find the temperature at 5376 feet
Let the temperature be the y-coordinate value and the elevation be the x-coordinate value, to find the temperature, we have the temperature gradient given by the relation;
[tex]m = \dfrac{y_2-y_1}{x_2 - x_1} = \dfrac{303.71-286.5}{2041 - 6288}= -4.05 \times 10^{-3} \ K/ft[/tex]
The temperature at 5376 ft will be the temperature at 2041 added to the decrease in temperature from climbing to 5376 ft
The increase in elevation is 5376 - 2041 = 3335 ft
The decrease in temperature = 3335 ft × (-4.05 × 10⁻³) K/ft = -13 .5 K
The temperature at 5376 ft will then be 303.71 - 13.5 = 290.196 K = 62.68°F ≈ 63°F
The assumption made was that the decrease in temperature with elevation is linear.
State the number of possible triangles that can be formed using the given measurements.
Answers
Answer: 39) 1 40) 2
41) 1 42) 0
Step-by-step explanation:
39) ∠A = ? ∠B = ? ∠C = 129°
a = ? b = 15 c = 45
Use Law of Sines to find ∠B:
[tex]\dfrac{\sin B}{b}=\dfrac{\sin C}{c} \rightarrow\quad \dfrac{\sin B}{15}=\dfrac{\sin 129}{45}\rightarrow \quad \angle B=15^o\quad or \quad \angle B=165^o[/tex]
If ∠B = 15°, then ∠A = 180° - (15° + 129°) = 36°
If ∠B = 165°, then ∠A = 180° - (165° + 129°) = -114°
Since ∠A cannot be negative then ∠B ≠ 165°
∠A = 36° ∠B = 15° ∠C = 129° is the only valid solution.
40) ∠A = 16° ∠B = ? ∠C = ?
a = 15 b = ? c = 19
Use Law of Sines to find ∠C:
[tex]\dfrac{\sin A}{a}=\dfrac{\sin C}{c} \rightarrow\quad \dfrac{\sin 16}{15}=\dfrac{\sin C}{19}\rightarrow \quad \angle C=20^o\quad or \quad \angle C=160^o[/tex]
If ∠C = 20°, then ∠B = 180° - (16° + 20°) = 144°
If ∠C = 160°, then ∠B = 180° - (16° + 160°) = 4°
Both result with ∠B as a positive number so both are valid solutions.
Solution 1: ∠A = 16° ∠B = 144° ∠C = 20°
Solution 2: ∠A = 16° ∠B = 4° ∠C = 160°
41) ∠A = ? ∠B = 75° ∠C = ?
a = 7 b = 30 c = ?
Use Law of Sines to find ∠A:
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b} \rightarrow\quad \dfrac{\sin A}{7}=\dfrac{\sin 75}{30}\rightarrow \quad \angle A=13^o\quad or \quad \angle A=167^o[/tex]
If ∠A = 13°, then ∠C = 180° - (13° + 75°) = 92°
If ∠A = 167°, then ∠C = 180° - (167° + 75°) = -62°
Since ∠C cannot be negative then ∠A ≠ 167°
∠A = 13° ∠B = 75° ∠C = 92° is the only valid solution.
42) ∠A = ? ∠B = 119° ∠C = ?
a = 34 b = 34 c = ?
Use Law of Sines to find ∠A:
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b} \rightarrow\quad \dfrac{\sin A}{34}=\dfrac{\sin 119}{34}\rightarrow \quad \angle A=61^o\quad or \quad \angle A=119^o[/tex]
If ∠A = 61°, then ∠C = 180° - (61° + 119°) = 0°
If ∠A = 119°, then ∠C = 180° - (119° + 119°) = -58°
Since ∠C cannot be zero or negative then ∠A ≠ 61° and ∠A ≠ 119°
There are no valid solutions.
Courtney constructed this figure using a compass with its width set equal to PR, the radius of the circle. She claims triangle PRS is equilateral because all three sides of the triangle are equal to PR. She also claims that applying the same argument to prove each triangle in the figure is equilateral proves that the inscribed hexagon is also equilateral. Which statement is true? A. Courtney's reasoning about triangle PRS is correct, but the hexagon is not equilateral. B. Courtney's reasoning about triangle PRS is correct, and the hexagon is equilateral. C. Courtney's reasoning about triangle PRS is incorrect, and the hexagon is not equilateral. D. Courtney's reasoning about triangle PRS is incorrect, but the hexagon is equilateral.
Answers
Answer:
B
Step-by-step explanation:
It helps if you have the figure included. However, since it is not, we can assume that she has gone around the circle with all six sides of the hexagon is set to PR.
That makes the hexagon with 6 equal sides. It also makes each triangle using one of the sides equal to PR. The radii are all equal. There are 6 triangles making up the hexagon.
Both statements she makes are true and that makes B the answer.
. A used car dealer says that the mean price of a two-year old sedan (in good condition) is at least $20,500. You suspect this claim is incorrect and find that a random sample of 14 similar vehicles has a mean price of $19,850 and a standard deviation of $1084. Is there enough evidence to reject the dealer's claim at a significance level (alpha) =0.05?
Answers
Answer: There is sufficient evidence to reject the dealer's claim that the mean price is at least $20,500
Step-by-step explanation:
given that;
n = 14
mean Ж = 19,850
standard deviation S = 1,084
degree of freedom df = n - 1 = ( 14 -1 ) = 13
H₀ : ц ≥ 20,500
H₁ : ц < 20,500
Now the test statistics
t = (Ж - ц) / ( s/√n)
t = ( 19850 - 20500) / ( 1084/√14)
t = -2.244
we know that our degree of freedom df = 13
from the table, the area under the t-distribution of the left of (t=-2.244) and for (df=13) is 0.0215
so P = 0.0215
significance ∝ = 0.05
we can confidently say that since our p value is less than the significance level, we reject the null hypothesis ( H₀ : ц ≥ 20,500 )
There is sufficient evidence to reject the dealer's claim that the mean price is at least $20,500
Gwen participates in an online rewards program.She earns points for completing surveys. Gwen earns 10 points for each survey she completes,and she wants to predict the total number of points that she will earn based on the number of surveys that she completes. Which quantities in this situation have more than one possible value? Choose All That apply.
The number of surveys Gwen completes.
The number of points Gwen earns for completing each survey.
The total number of points Gwen earns.
Answers
Answer:
Step-by-step explanation:
Hello,
For each survey that Gwen completes she earns 10 points.
So the number of points Gwen earns for completing each survey is 10 and there is only one value.
If x is the number of surveys Gwen completed, her number of points is 10 multiplied by x.
The number of surveys Gwen completes can have several values.
And then, the total number of points Gwen earns can have several values too.
So you need to choose
The number of surveys Gwen completes.
and
The total number of points Gwen earns.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
3/x-2, i'm confused as to what the horizontal asymptote is. The resources I found online conclude that it has a horizontal asymptote of y=0. I know that in order for a horizontal asymptote to be y=0, the denominator has to have a greater degree than the numerator. Im confused because doesn't the numerator have the same degree as the denominator (degree of 1)?
Answers
Answer:
y = 0
Step-by-step explanation:
Given
f(x) = [tex]\frac{3}{x-2}[/tex]
The degree of the numerator is zero 0 ( 3[tex]x^{0}[/tex] )
The degree of the denominator is 1
Since the degree of denominator > degree of numerator.
Then there is a horizontal asymptote at y = 0
Please Help asap!!! Please give explanation
Answers
Answer:
The answer is B CPCT
Step-by-step explanation:
In an isosceles triangle ΔHKJ with
Construct KM, a bisector of the base HJ.
to prove:
in ΔKHM and ΔKJM
bisects [Given]
Segment bisectors states that a line or segment which cuts another line segment into two equal parts.
then, by definition of Segment bisector :
[Given]
Reflexive property of congruence that any geometric figure is congruent to itself.
[by definition of Reflexive property of congruence]
SSS(Side-Side-Side) Postulates states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.
therefore, by SSS postulates
ΔKHM ΔKJM
By CPCT [Corresponding Part of congruent Triangle]
proved!
hope i helped
-lvr
Write the following as an inequality:
y is no greater than 4 but more than -2.
Answers
Answer:
4>Y>-2 :) ..............
Answer:
[tex]\boxed{-2 < y \leq 4}[/tex]
Step-by-step explanation:
For y is no greater than 4, it would be either less than or equal to 4. So, the inequality for it would be:
y ≤ 4
Now, the inequality for y more than -2:
-2 < y
Combining the inequality:
-2 < y ≤ 4
A lead ball weighs 326 grams. Find the radius of the ball to the nearest tenth of a centimeter. the lead=11.35g/cm³
Answers
Answer:
3.14
Step-by-step explanation:
Determine the sum of the first 7 terms of the arithmetic sequence with
general formula t_n = -3n +7
Answers
Answer:
your answer is -35.
Step-by-step explanation:
let the first 7 terms be 1,2,3,4,5,6, and 7.
we have ,
general term t_n = -3n +7 ,then
t_1 = -3*1 +7
= -3+7
= 4
t_2 = -3*2 +7
= -6 +7
= 1
t_3 = -3*3 +7
= -9+7
= -2
t_4 = -3*4 +7
= -12+7
= -5
t_5 = -3*5 +7
= -15+7
= -8
t_6 = -3*6 +7
= -18+7
= -11
t_7 = -3*7 +7
= -21+7
= -14
Now, the sum of first seven terms is
4 + 1 + (-2) + (-5) + (-8) + (-11) + (-14)
= 5 -2 - 5 - 8 - 11 - 14
= -35
Answer:
-35
Step-by-step explanation:
Sum of the first 7 terms of AP is:
S_7= 1/2*7(t_1 + t_7)As per general formula t_n= -3n +7 we find the first and seventh terms and the sum of the first 7 terms:
t_1= - 3*1 + 7= 4t_7= - 3*7 + 7= - 14S_7 = 7/2*(4-14)= 7/2*(-10)= - 35Answer is - 35
Multiply using distributive property.
(2x-5)(4x2-3x+1)
PLEASE HELP!!! ASAP!!!
Answers
Answer:
33x-6x(square)-45
Step-by-step explanation:
(2x-5)(9-3x)
= 2x(9-3x) + -5(9-3x)
= 18x-6x(square) - 45+15x
= 33x-6x(square)-45
Answer:
8x^3 - 26x^2 + 17x - 5.
Step-by-step explanation:
(2x - 5)(4x^2 - 3x + 1)
= (2x * 4x^2) + (-5 * 4x^2) + (2x * -3x) + (-5 * -3x) + (2x * 1) + (-5 * 1)
= 8x^3 + (-20x^2) + (-6x^2) + 15x + 2x - 5
= 8x^3 - 26x^2 + 17x - 5.
Hope this helps!
What is the slope of the line?
3(y - 1) = 2x + 2
Answers
Answer:
The slope is 2/3
Answer:
2/3
Step-by-step explanation:
This is written in point slope form
y - y1 = m(x-x1)
3(y - 1) = 2x + 2
Divide each side by 3
(y - 1) = 1/3(2x + 2)
Factor out a 2
(y - 1) = 2/3(x - -1)
The slope is 2/3
3 3/8 divided by 9 =
Answers
Answer:
0.375
Hope this helps....
Have a nice day!!!!
Answer:
3/8
Step-by-step explanation:
Hey there!
[tex]\frac{3}{8} = \frac{3*8+3}{8} = \frac{24 + 3}{8} = \frac{27}{8}[/tex]
[tex]\frac{27}{8} = \frac{27 / 9}{8} = \frac{3}{8}[/tex]
= 3/8
Hope this helps :)
At a pond, there were 24 ducks swimming. The ratio of ducklings to adult ducks is 5:1. How many ducklings were swimming at the pond?
Answers
Answer:
Hey there!
The ratio of ducklings to adult ducks is 5:1.
This means for every six ducks, five are ducklings and one is an adult.
If there are 24 ducks, then 5 times 4 = 20 ducklings and 4 adults.
Thus, there are 20 ducklings.
Hope this helps :)
Answer:
20 ducklings.
Step-by-step explanation:
(07.02 MC)
An equation is shown below:
3(4x - 2) = 1
Which of the following correctly shows the steps to solve this equation?
Step 1: 12x - 2 = 1; Step 2: 12x = 3
Step 1: 12x - 6 = 1; Step 2: 12x = 7
Step 1: 7x + 1 = 1; Step 2: 7x = 0
Step 1: 7x - 5 = 1; Step 2: 7x = 6
Answers
Step 1: 12x - 6=1; Step 2: 12x = 7
Angle 6 and 7, are complementary angles?
Answers
Answer:
Hey there!
Angle 6 and angle 7 are actually supplementary angles, which are angles that add to 180 degrees.
Complementary angles are angles that add to 90 degrees.
Hope this helps :)
Answer:
∠6 & ∠7 are not complementary angles
Step-by-step explanation:
∠6 & ∠7 are supplementary angles on a line
Evaluate A/B for a = 1/2 and b = -3/7
Answers
Answer:
-7/6
Step-by-step explanation:
If a = 1/2 and b = -3/7, then your given:
1/2 divided by -3/7=
-7/2*3=
-7/6
Sorry if its a bit unclears
Answer:
[tex]\frac{7}{-6}[/tex]
Step-by-step explanation:
To do this you are basically dividing the fractions so when you set up the equation it will look like this [tex]\frac{1}{2}/\frac{-3}{7}[/tex] now that we have this we will take the reciprocal of -3/7 which is 7/-3 and than multiply the 2 fractions we we get 7/-6
i need help quick i will mark brainilest
Answers
Answer:
x-y
Step-by-step explanation:
X is greater than y so we are subtracting the smaller number from the bigger number
That means we do not need the absolute value signs since x-y will be positive
|x-y| when x> y
x-y
Using numbers
| 5-2| 5>2
5-2
R = {(-3, -2), (-3, 0), (-1, 2), (1, 2)} which is a domain
Answers
Answer:
Domain { -3, -1 ,1}
Step-by-step explanation:
The domain is the input values
We write them in order from smallest to largest with out repeating any numbers
Domain { -3, -1 ,1}
What is the equation of the following line? Be sure to scroll down first to see all answer options.
Answers
Answer:
E
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0) and (x₂. y₂ ) = (8, 2) ← 2 points on the line
m = [tex]\frac{2-0}{8-0}[/tex] = [tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex]
y = [tex]\frac{1}{4}[/tex] x → E
Answer:
y=1/4x
Step-by-step explanation:
because its the answer
Helpppppppppp pleasessssss
Answers
Answer:
A.
Step-by-step explanation:
When it says (x + 7), that means the graph will be shifting to the right (so parallel to the x-axis.
A bag contains 1 blue, 2 green, and 3 red marbles, as shown. 1 blue marble, 2 green marbles, and 3 red marbles. What is the probability of drawing a green marble out of the bag without looking? StartFraction 1 over 6 EndFraction One-fifth One-third One-half
Answers
Answer:
1/3!
Step-by-step explanation:
Good Luck On Whatever You Needed This For!
The probability of drawing a green marble out of the bag without looking is 1/3.
Given that, a bag contains 1 blue, 2 green, and 3 red marbles.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes
Total number of outcomes =1+2+3 =6
Number of favorable outcomes = 2
Now, probability of drawing green marble
= 2/6
= 1/3
Therefore, the probability of drawing a green marble out of the bag without looking is 1/3.
To learn more about the probability visit:
https://brainly.com/question/11234923.
#SPJ6
Which graph represents the function f(x)=|x−3|+1 ?
Answers
Answer:
the first one (in quadrant 1, pointing upwards)
Step-by-step explanation:
since the function is positive the graph will be facing upwards and start off at 1