Answer:
5,040 jumps
Step-by-step explanation:
Let's figure out the number of jumps per hour
42 steps/minute * 60 minutes/hour = 2,520 jumps/hour
Mary Beth is jumping for 2 hours, so we need to multiply by 2 hours.
2,520 jumps/hour * 2 hours = 5,040 jumps
(a) The diagram shows a circle, centre 0. AB and CD are chord.
Given that OM = 8 cm, NT = 3 cm, AB = 30 cm.
(1) Calculate the radius
(2) Calculate the length of CD
Answer:
1) Radius = 17 cm
2). CD = 19.3 cm
Step-by-step explanation:
1). O is the center of the given circle.
By joining the center and point A located at the circumference of the circle,
OA = radius of the circle.
Length of chord AB = 30 cm
"Line from the center of a circle to the chord inside the circle is a perpendicular bisector of the chord"
By the given property, OM equally divides the chord AB.
AM = MB
AM = [tex]\frac{1}{2}(AB)[/tex]
AM = [tex]\frac{10}{2}[/tex] = 5 cm
By applying Pythagoras theorem in ΔOAM,
AO² = OM² + AM²
AO² = 8² + 15²
AO = √289
AO = 17 cm
Therefore, radius of the circle = 17 cm
2). Since, OT, OC and OA are the radii of the given circle,
OT = OC = OA = 17 cm
ON = OT - NT
= 17 - 3
= 14 cm
By applying Pythagoras theorem in ΔOCM,
OC² = ON² + CN²
17² = 14² + CN²
CN = [tex]\sqrt{(17^2-14^2)}[/tex]
= [tex]\sqrt{93}[/tex]
= 9.64 cm
Since, CD = 2(CN)
CD = 2 × 9.64
= 19.29 cm
≈ 19.3 cm
Jonah bicycled 12 miles in 4 hours. What is the unit rate?
3 miles per hour
8 miles per hour
16 miles per hour
48 miles per hour
Answer:
3 mph
Step-by-step explanation:
12 divided by 4 is 3
Answer:
The answer is A
Step-by-step explanation:
find the equation of the the line -1/4 that passed through the point (12,-4).
The distance from Earth to the sun is 1.5*10^8 miles. The distance from Neptune to the sun is 5.196*10^9. How many times further is it from Neptune to the sun
Answer: Neptune is 34.64 times farther than Earth from the sun.
Step-by-step explanation:
Given: Distance from Earth to the sun is [tex]1.5\times10^8[/tex] miles.
Distance from Earth to the sun is [tex]5.196\times10^9[/tex] miles.
Number of times farther is it from Neptune to the sun= [tex]\dfrac{\text{distance from Neptune to the sun}}{\text{distance from Earth to the sun}}[/tex]
[tex]=\dfrac{5.196\times10^9}{1.5\times10^8}\\\\=\dfrac{5.196}{1.5}\times10^{9-8}\\\\= 3.464\times10=34.64[/tex]
Hence, Neptune is 34.64 times farther than Earth from the sun.
The comparison of the distances between Earth and Sun, and Neptune and Sun is needed.
Neptune is [tex]34.64[/tex] times the distance between Earth and Sun.
Ratios[tex]d_{es}[/tex] = Distance between Earth and Sun = [tex]1.5\times 10^8\ \text{miles}[/tex]
[tex]d_{ns}[/tex] = Distance between Neptune and Sun = [tex]5.196\times 10^{9}\ \text{miles}[/tex]
Dividing the given distances
[tex]\dfrac{d_{ns}}{d_{es}}=\dfrac{5.196\times 10^{9}}{1.5\times 10^8}\\\Rightarrow d_{ns}=34.64d_{es}[/tex]
Learn more about ratios:
brainly.com/question/2065148
Hurry please! Thank you I really appreciate it :)
Answer:
5 meters
Step-by-step explanation:
you deposit $2000 in a savings account earning 5% simple interest. How long will it take for the balance of the account to be $3800? (PLEASE EXPLAIN)
Answer:
1.8 years
Step-by-step explanation:
Step one:
given data
P= $2000
Rate= 5%
Final amount A= $3800
Step two
A= P(1+rt)
substitute
3800=2000(1+0.05*t)
solve for t
3800=2000(1.05t)
3800=2100t
divide both sides by 2100
t= 3800/2100
t=1.8 years
it will take 1.8 years
Zachary runs steadily at 10km/hr. HIs distance can be modelled by the equation y=10x, where y gives his distance (km) in relation to time (hrs). The kidnapper runs at 5km/hr (since he's carrying a princess) and is already 30km away when Zachary begins his pursuit. Give the equation for the kidnapper's distance (y) in relation to time (x) in slope-intercept form (y=mx+b) and then, standard form( ax + by+ c=0)
Answer:
tuff
Step-by-step explanation:
help me please this one is timed faster
Answer:
The slope is 3 and the y-intercept is 2.
Step-by-step explanation:
Slope is 3/1, following the line up 3 and over 1. The line crosses the y-axis at (0,2), so the intercept is 2. The slope-intercept can then be written as y=3x+2.
What is the least common denominator of the rational expressions below?
Answer:
Answer:
x(x-3)(x+4)
Step-by-step explanation:
Hello! I will give you fifteen points if you solve this correctly!
Answer:
mark each line about 1 in. apart
Plzzzzz give me Brainliest!!!!!
I need help, I don't quite understand
Answer:
1
Step-by-step explanation:
so we have:
f+2>5 2 goes the other side, so
f>5-2
f>3
f+4<9 4 goes to the other side, so
f<9-4
f<5
we have two inequality
f>3
f<5
f belongs (3,5), we have only one value for this, it is 4
(BRAINLIEST)PLEASE HELP ASAP!!
Answer:
(0, 3), (2, -1), (-6, 15)
Step-by-step explanation:
I recommend you use desmos scientific calculator for these problems.
So first you'll wan't to plug in the expression:
y=-2x+3
Then you''l want to put x= then the domains.
x=0, 2 or -6. (it doesn't matter as long as you put them in one at a time.)
youll then get each answer as you plug the numbers in.
x=0 y=3
x=2 y=-1
x=-6 y=15
Sorry if it wasn't clear to understand I'm doing my work at the same time as helping others.
17c+7c-6c^6+2c^8 the polynomial standard form is _
Marty had 10 pens. Four of these pens were blue. What is one way to show the ratio of blue pens to the total number of pens Marty had?
Answer: 2:5 or 2/5
Step-by-step explanation:
Since he has 10 pens, that will be the denominator and the # of blue pens will be the numerator. This gives you 4/10 which you simplify to get 2/5.
Draw an area model to solve 774 divided by 3
what is root3(root3 - 1)
Answer:
3 - root3 or 3 - √3Step-by-step explanation:
root3(root3 - 1) =√3(√3 - 1) =√3(√3) - √3(1) = √3² - √3 =3 - √33 - root3[tex]\boxed{\blue{ 3-\sqrt{3} } }[/tex]
Step-by-step explanation:
[tex]\bold{\sqrt{3}(\sqrt{3}-1) }[/tex]
[tex]\bold{\sqrt{3}(\sqrt{3})-\sqrt{3}(1) }[/tex]
[tex]\bold{(\sqrt{3})^2-\sqrt{3} }[/tex]
[tex]\bold{ 3-\sqrt{3} }[/tex]
Use the drawing tool(s) to form the correct answer on the provided graph.
The graph of f(x) = x is shown on the coordinate plane. Function g is a transformation off as shown below.
g(x) = f(x - 5)
Graph function g on the same coordinate plane.
Answer:
It is clear from the graph the the function g(x) = f(x-5) can be determined when we shift f(x) = x '5' units to the right.
The graph of both functions is attached below.
Step-by-step explanation:
Please check the attached graph.
From the graph:
The red graph represents the parent function f(x) = xThe blue graph represents the transformed function f(x) = (x-5)We know that Horizontal changes affect the input or domain of a function.
It is clear from the graph the the function g(x) = f(x-5) can be determined when we shift f(x) = x '5' units to the right.
The graph of both functions is attached below.
Answer:
A transformation of the form f(x - c) represents a horizontal translation to the right or left. If c is positive, the function will shift to the right and if c is negative, the function will shift to the left.
To find the function g(x) = f(x - 5), substitute in (x - 5) for x.
Step-by-step explanation:
Whats the product of 1/4 x 1/3
Can some one solve 4 for me plz I’ll give a crown
Answer: I'm pretty sure it's the 3rd one
Step-by-step explanation:
my brother needs help with this
Answer:
You cant do 4x+24
7 (5)= 35
7 (2) 14
35+14-49=0
Step-by-step explanation:
Mr. Garza has a picture that measures 4 by 12 inches. It must be reduced so that the longest side measures 4 inches to fit in the school newspaper. Find the length of the shorter side of the picture once it has been reduced.
A. 2 inches
B. 1 1/2
C. 1 1/3
D. 1 inch
Answer: The length of the shorter side is [tex]1\frac{1}{3}[/tex] inches (option C).
Step-by-step explanation:
The ratio of the original picture is [tex]\frac{4}{12}[/tex].The ratio of the new picture is [tex]\frac{x}{4}[/tex].In order to get the longest side to 4, we divided by 3. As a result, we must divide 4 (the original shorter side) by 3 to find the new length.[tex]\frac{4}{3}[/tex] = [tex]1\frac{1}{3}[/tex]Tanya bought a new television for $1,200. The deal was attractive to her because she was required to make interest payments on the $1,200 purchase for the first year. After one year of interest-only payments, how much did Tanya owe on the television?
Answer:
1,200
Step-by-step explanation:
Can someone help me I need it to be broken down
Answer:
[tex]x + 23 + x + 80 = 180 \\ 2x + 103 = 180 \\ 2x = 77 \\ x = 38.5[/tex]
Tabitha has a DVD rack which can hold 42 DVDS. She can fit 8 more DVDS on the rack before the rack is full. How many DVDS are on the rack?
Answer:
34
Step-by-step explanation:
42 dvds total but there is room for 8 more so
42 total size - 8 more can fit = 34 on the rack
i think im right unless i missunderstood the question
Answer:
34
MARK BRAINLIEST
Find the value of x. Round to the nearest tenth. Can you please give me the step by step?
Answer:
x = -4.4
Step-by-step explanation:
i hope this can explain?
GIVING BRAINLIEST SOMENE PLS HELP IM FAILING
Answer:
[tex]\mathrm{D.\:} 7[/tex]
Step-by-step explanation:
A proportional function is given by [tex]y=kx[/tex] for some constant [tex]k[/tex]. We can plug any coordinate this line passes through to find this constant:
[tex]21=k(3),\\k=\fbox{$7$}[/tex].
Can y’all help me with this plz
Answer:
c
Step-by-step explanation:
a diagram shows y = x + 5 what description is correct an increase by 5/6 a decrease by 5/11?
Step-by-step explanation:
nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn
Construct a quadrilateral ABCD, where AB = 7 cm, AD = 6.4 cm, angle A = 75°, angle=
100° and angle D = 110°. What is the measure of angle angle
C?
Answer:
75°
Step-by-step explanation:
Number 1 helppppppppppppppppp
Answer:
infinitely many solutions