Answer:
6.4 meters per second
Step-by-step explanation:
Sarah the cheetah ran 100 meters at a speed of 16.8 meters per second. An olympian ran the 100-meter dash in 9.6 seconds. How much faster was Sarah the cheetah’s speed, to the nearest tenth of a meter per second?
0.9 meters per second
1.6 meters per second
6.4 meters per second
10.4 meters per second
Speed = distance / time
Olympian's speed = 100 / 9.6 = 10.4 meters per second
Sarah's speed = 16.8 meters per second.
Difference in speed = 16.8 - 10.4 = 6.4
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
What is the area of the triangle shown below?
Answer:
12
Step-by-step explanation:
Each half of the isosceles triangle is a right triangle with side lengths 3, 4, 5.
A = bh/2
A = 8 * 3/2
A = 12
Verify Expreimentally that if all sides and all angles of a quadrilateral are equal then it is the square
Answer:
Wikipedia says:
"In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles)."
https://en.wikipedia.org/wiki/Square
Step-by-step explanation:
In a school the ratio of boys to girls is 3:2. What percentage of the students are girls?
Whats 8^6 ÷ 8 pls ty :D
Answer:
[tex] {8}^{6} \div 8 \\ = {8}^{6} \div {8}^{1} \\ = {8}^{(6 - 1)} \\ = {8}^{5} [/tex]
Answer:
[tex]8^{5}[/tex] or 32768
Step-by-step explanation:
When dividing exponents, you subtract the exponent on the top from the one on the bottom:
[tex]8^{6}[/tex]/[tex]8^{1}[/tex] = [tex]8^5[/tex] because 6-1 = 5
PLEASE HELP ME!!! THANK YOU i really need it
The radius of a circle is 6 inches. What is the area of a sector bounded by a 102° arc?
give exact answer in simplest form
explaining your answer = brainliest/ five stars
Answer:
10 1/5 pi
Step-by-step explanation:
First find the area of the circle
A = pi r^2 = pi *6^2 = 36 pi
Then find the fraction of the circle that is shaded
A circle is 360 degrees
102/360 =17/60
Multiply the fraction by the area
17/60 * 36 pi
51/5 pi
10 1/5 pi
Answer:
32.04
Step-by-step explanation:
firstly area of a sector is angle/360 multiplied by pi *r squared
so in this case it is going to be 102/360 *pi *6^2
6 squared is 36 all multiplied by pi and 106/360
it is advisable that you enter them all at once in your calculator
the final answer will be32.0444507
which is rounded to 32.04
Acellus
If P = (3,2), find the image
of P under the following rotation.
90° counterclockwise about the origin
([?], [])
Enter the number that belongs in
the green box
Enter
Answer:
(-2, 3)
Step-by-step explanation:
Think of this in the future:
Counter-clockwise rotations:
90-degree --> (x,y) = (-y,x) ex. (3,2) --> (-2,3)
180-degree --> (x,y) = (-x,-y) ex. (3,2) --> (-3, -2)
270 degree --> (x,y) = (y,-x) ex. (3,2) --> (2, -3)
Clockwise rotations:
90-degree --> (x,y) = (y, -x) ex. (3,2) --> (2, -3)
180-degree --> (x,y) = (-x,-y) ex. (3,2) --> (-3,-2)
270-degree --> (x,y) = (-y, x) ex. (3,2) --> (-2,3)
El angulo de elevacion del sol es de 29°12'35''. Calcular la longitud de la sombra proyectada por un hombre de 1,75m de estatura.
Respuesta:
3,59 metros
Explicación paso a paso:
Conversión del ángulo de elevación a grados;
29 ° 12 '35 "
= 29 ° + 12 '/ 60 + 35 "/ 3600
= 29,20972 °
Resolviendo el triángulo de solución adjunto:
La longitud de la sombra se puede obtener utilizando la relación trigonométrica;
Sin θ = opuesto / hipoteno
Sin 29.20972 = 1.75 / sombra
Sombra = 1.75 / Sin 29.20972
Longitud de la sombra = 3,59 m
Lee drove 635 miles and used 25 gallons of gasoline. How many miles did Lee's car travel per gallon of gasoline?
The height of a parallelogram is four times the base. The base measures 3.5 ft. Find the area of the parallelogram.
Answer:
49ft^2
Step-by-step explanation:
3.5ft X 4= 14ft
Area of parallelogram formula:
(perpendicular height)(base)= area
(14ft)(3.5ft)=49ft^2
Please help it's urgent!
PLEASE HELP ME! this is due TONIGHT!! thank you so much
explaining your answer = brainliest/ five stars
the area of the parallelogram is ___ square feet
Answer:
Step-by-step explanation:
here,
base=28 ft
height=24 ft
are of parallelogram=base*height
=28*24
=672 ft^2
Answer:
672 ft²
Step-by-step explanation:
Area of parallelogram is the same as the area of a rectangle.
28 × 24 = 672 ft²
I need help ASAP plz
Answer:
a = 14.4
Step-by-step explanation:
It's a right angled triangle. so it has to follow Pythagoras Theorem
according to it square of hypotenuse = sum of squares of other two sides
[tex]16 {}^{2} = {x}^{2} + 7 {}^{2} \\ 256 = x {}^{2} + 49 \\ 256 - 49 = x {}^{2} \\ 207 = x {}^{2} \\ x = \sqrt{207 } \\ x = 14.387 \\ x = 14.4[/tex]
after rounding the decimal a= 14.4 in
Please help me i'm struggling!
What is the length of a diagonal of a rectangle 9m long and 5m wide?
A 2 kg hammer is used to nail a 0.002 kg nail with a force of 10 N. How much force is applied to the hammer?
Answer:
19.62N
Step-by-step explanation:
Given data
Mass =2kg
Force =10N
The applied force is
F=mg
F=2*9.81
F=19.62N
Hence the applied force is 19.62N
Find all angles, 0≤θ<360, that satisfy the equation below, to the nearest 10th of a degree. 4tan^2 θ+tanθ=−4tanθ−1
Answer:
135 and 315degrees
Step-by-step explanation:
Given the expression
4tan²θ+tanθ=−4tanθ−1
Equate to zero
4tan²θ+tanθ+4tanθ+1 = 0
4tan²θ+5tanθ+1 = 0
Let x = tanθ
4x²+5x+1 = 0
Factorize;
4x²+4x+x+1 = 0
4x(x+1)+1(x+1) = 0
4x+1 = 0 and x+1 = 0
4x = -1 and x = -1
x = -1/4 and -1
Since x = tanθ
-1 =tanθ
θ = arctan(-1)
θ = -45degrees
Since tan is negative in the 2nd and fourth quadrant;
In the second quadrant
θ = 180 - 45 = 135degrees
In the fourth quadrant;
θ = 360 - 45 = 315degrees
Hence the required angles are 135 and 315degrees
Pam likes to practice dancing while preparing for a math tournament. She spends 80 minutes every day practicing dance and math. To help her concentrate better, she dances for 20 minutes longer than she works on math.
How much time does Pam spend practicing math every day? Show your work.
Answer:
30 minutes
Step-by-step explanation:
20+30+20--80
The ratio of girls and boys in Aamir’s class is 3:2 if the number of girls in his class is 21 , what is that number of boys ? The number of boys in Aamir’s class=
Answer:
16
Step-by-step explanation:
for every 3 boys there is 4 girls
divide 12 by 3 and the answer is 4
multiply 4 by 4
16 This will be your answer
Find the rest of the equation.
Answer:
D = 48 E= 90 F = 42 FE = 15
Step-by-step explanation:
Sorry, i dont know how to get DF and DE yet
BRAINLIEST FOR CORRECT ANSWER.
I drew what option c was for the third answer
Answer:
B A B
Step-by-step explanation:
Answer:
1. A or one meter
2. A or 4 kilometers
3. B or 4 thousand strides
Step-by-step explanation:
marathon is 4 kilometers and a kilometer is 1000 strides or meters.
Which numbers are written in scientific notation? Check all that apply.
0.87x10^8
15.489 x 10^6
O 10.1x 10^-12
07.08 x 10^6
1.2345 x 10^-1
Answer:
The last two
Step-by-step explanation:
Scientific notation:
a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8
A swimmer breaks a world record by 0.07 seconds. The old record was 49.51 seconds. What is the swimmer's new world record?
a. 49.58 seconds
b.49.44 seconds
c.48.81 seconds
d.48.58 seconds
Answer:
B
Step-by-step explanation:
Simply subtract 0.07 from 49.51 too get 49.44.
Hope that this helps!
PLEASE HELP!
*multiple choice*
List the sides in order from shortest to longest.
Answer:
I think it's a
I'm not that sure tho
what is the length of side x in the above right triangle
Answer:
4
Step-by-step explanation:
b² - a² is the formula
5² - 3²
16
√16
= 4
The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m.). They selected 13 patrons and had them get in line between 2 and 3 p.m. Each was given a stopwatch to record the time they spent in line. The times recorded were as follows (in minutes): 118, 124, 108, 116, 99, 120, 148, 118, 119, 121, 45, 130, 118. What is the mode
Answer:
118
Step-by-step explanation:
Mode refers to a value that appears most frequently in a data set.
For example the mode in the data set below is 3 :
1, 2,3 4,3,3,9,10
3 is the mode because it appears 3 times while others appear once in the data set while the other values appear only once.
Mode is a measure of central tendency
118 appears 3 times while others appear once so it is the mode
Jason wants to know the percentage of M & M's that are green. He chooses a sample of 30 M & M's from a bag, and 3 of them are green. What is the margin of error of his experiment (round to 4 decimal places)? .1074 .1074 .9845 .9845 .1235 .1235 .8824
Answer:
The margin of error of his experiment is of 0.1074.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
30 M & M's from a bag, and 3 of them are green.
This means that [tex]n = 30, \pi = \frac{3}{30} = 0.1[/tex]
Standard 95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Margin of error:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.96\sqrt{\frac{0.1*0.9}{30}}[/tex]
[tex]M = 0.1074[/tex]
The margin of error of his experiment is of 0.1074.
Plot the points P (2, -3) & Q (-5, -3) whose ordinates are same. To which axis the line PQ is parallel.
Given :
The points P (2, -3) & Q (-5, -3) whose ordinates are same.
To Find :
To which axis the line PQ is parallel.
Solution :
In given points the ordinates are same.
Therefore, the line is parallel to the x- axis.
Hence, this is the required solution.
What is the sign of -9. (0/-3)
Answer:
C Zero
Step-by-step explanation:
[tex] -9 \times (\dfrac{0}{-3}) = [/tex]
[tex] = -9 \times 0 [/tex]
[tex] = 0 [/tex]
Answer: C Zero
Pls help me with this
Answer:
5.85
Step-by-step explanation:
100%-> 6.50
100%-10% = 90 %
90%-> 6.50/100 x 90
=5.85
G(x) = 8x - 9 for g(x) = 23