What is the value of s?
units
0
5
В
8
15
S
D
Consider the triangle ABD,
Here,
AB = 5
BD = 15
AD = s
As we know,
In a triangle, the sum of lengths of two sides is greater than the third side.
So,
[tex]5 + 15 > s[/tex]
[tex]15 + s > 5[/tex]
[tex]s + 5 > 15[/tex]
Now,
To satisfy the equation, the value of s can possibly be 11, 12, 13, 14, 15, 16, 17, 18, 19
Answer: the value of s is 17 units
Step-by-step explanation: youre welcome
Jessie lives in a farm and only has 2 animals, chickens and rabbits. One day he decided to count the total number of heads and legs of his animals. He told his friends that there were 30 heads and 76 legs in all.
How many chickens does Jessie have on his farm?
How many rabbits does Jessie have on his farm?
Let x represent number of rabbits and y represent number of chickens.
We have been given that Jessie told her friends that there were total 30 heads for both animals. This means that there are total 30 animals.
[tex]x+y=30...(1)[/tex]
[tex]y=30-x...(1)[/tex]
We have been given that Jessie only had chicken and rabbits. We know that a rabbit has 4 legs, so total number of legs for x rabbits would be [tex]4x[/tex].
We know that a chicken has 2 legs, so total legs of y chickens would be [tex]2y[/tex].
Since all animals has 76 legs in all, so we can represent this information in an equation as:
[tex]4x+2y=76...(2)[/tex]
Upon substituting equation (1) in equation(2), we will get:
[tex]4x+60-2x=76[/tex]
[tex]2x+60=76[/tex]
[tex]2x+60-60=76-60[/tex]
[tex]2x=16[/tex]
[tex]\frac{2x}{2}=\frac{16}{2}[/tex]
[tex]x=8[/tex]
Therefore, Jessie have 8 rabbits on his farm.
Number of chickens would be [tex]y=30-x\Rightarrow 30-8=22[/tex].
Therefore, Jessie have 22 chickens on his farm.
What factors do 6 and 12 have in common?
Answer:
6x^2 im pretty sure thats whats its asking for
Step-by-step explanation:
help please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
4 feet by 3 feet
Step-by-step explanation:
I hope this helped you out
Doug is a dog, and his friend Bert is a bird. They live in Salt Lake City, where the streets are 1/16 miles apart and arranged in a
square grid (see map). They are both standing at the corner of 6th avenue and L street. Doug can run at an average speed of 30
mi/hr through the streets of Salt Lake, and Bert can fly at an average speed of 20 mi/hr. They are about to race to the corner of
10th avenue and Estreet. who would win and why?
No map given but it shouldn't matter.
E is the 5th letter, L the 12th.
Start at S(6,12). End at E(10,5)
The vector between them, E-S=(4,-7)
Each unit is 1/16 of a mile, though that probably doesn't matter that much.
Doug has to stay on the grid, so has to run |4|+|7|=11 units. At 30 mi/hr that takes (11/16)/30 = 0.022916 hours.
Bert can go diagonally, so flies √(4²+7²)=√65 ≈ 8.06 units. At 20 mi/hr that takes (8.06/16)/20 = 0.025194 hours.
Answer: Doug wins
Why? Because it's quicker to cover 4+7 at 30 mph than it is to cover √(4²+7²) at 20 mph. That is, Doug is 1.5 times faster and the 1.5 times the diagonal distance is more than the grid distance.
Answer:
Doug wins. He finishes in 1.38 minutes. Bert takes 1.51 minutes.
Step-by-step explanation:
Each city block is a square 1/16 mile by 1/16 mile.
From 6th Av and L Street to 10th Av and E Street, they need to go 4 avenues and 7 streets over. These two distances along blocks are the legs of a right triangle. The right triangle has legs of length 4 * 1/16 mile and 7 * 1/16 mile.
leg1 = 4 * 1/16 mile = 0.25 mile
leg2 = 7 * 1.16 mile = 0.4375 mile
The hypotenuse of the right triangle can be calculated by the Pythagorean theorem.
a^2 + b^2 = c^2
(0.25 mile)^2 + (0.4375 mile)^2 = c^2
c = 0.50389
The direct distance from one corner to the other is 0.50389 miles.
The bird travels this distance since the bird can fly above the streets.
The dog has to travel along the legs of right triangle by running in the streets and avenues. The dog travels 0.25 mile + 0.4375 mile = 0.6875 miles
Now we need to see what takes less time:
Bird: distance of 0.50389 miles at 20 mph, or
Dog: distance of 0.6875 miles at 30 mph
We start with the formula for speed:
speed = distance/time
s = dt
Now we solve it for time:
st = d
t = d/s
Time equals distance divided by speed.
Now we find the times for the bird and for the dog.
Bird:
t = d/s = (0.50389 mi)/(20 mi/h) = 0.02519 hours = 1.51 minutes
Dog:
t = d/s = (0.6875 mi)/(30 mi/h) = 0.0229 hours = 1.38 minutes
The bird takes 1.51 minutes, and the dog takes 1.38 minutes.
The dog takes less time to get there, so the dog wins.
50 POINTS HELP ASAP
Answer:
its 10 points not 50
Step-by-step explanation:
Chris needs at least a C+ average to pass his math class. His test grades in the class are shown below. 68, 80, 73, 72 The lowest C+ grade is 76. If there are only 5 tests, what is the minimum grade that Chris needs to get on his last test? A. 97 points B. 89 points C. 85 points D. 87 points
Answer:
C
Step-by-step explanation:
Answer:
B 89 points
Step-by-step explanation:
you calculate the mean, basically trial and error. So you add one of the answers to 68+80+73+72 and then divide by 5 because there are five tests
hope this helped<33
The shaded numbers show a pattern in the multiplication table. Which
expression can find the number that comes next in the pattern?
Xo 1 2 3 4 5
0 0 0 0 0 0 0
10 1 2 3 4 5
2 0 2 4 6 8
3 0 3 6 9 12
4 0 4 8 12 16
5 0 5 10 15 20 25
25 X4
25 + 11
25 +
1
25 +1
25 x 6
25 x 6
Answer:
25 + 11
Step-by-step explanation:
As it is summing up by odd numbers
so 16+9 is 25
and then 25 + 11 as eleven is the next odd number after 9
Answer: 25+11
HOPE THIS HELPS
Can someone helpppppppppp
Answer:
A
Step-by-step explanation:
The reason it is A is because
It goes in biggest to lowest A B C D
C and B don't follow that so we are left with A and D
In answer D C and B are too close in percentage therefore it cannot be D
Therefore your answer is A
Hope this helped!
What is the lateral area of the cone to the nearest whole number? The figure is not drawn to
scale.
15,080 m2
25,133 m2
45,239 m2
50,265 m2
Answer:
The lateral surface area of the cone is [tex]25120\ m^2[/tex].
Step-by-step explanation:
We have.
Height of a cone is 60 m
Diameter of a cone is 10 m
Radius, r = 80 m
The lateral surface area of a cone is given by :
[tex]A=\pi rl[/tex]
l is slant height of the cone,
[tex]l=\sqrt{60^2+80^2} =100\ m[/tex]
Plugging all values in above formula,
[tex]A=3.14\times 80\times 100\\\\A=25120\ m^2[/tex]
So, the lateral surface area of the cone is [tex]25120\ m^2[/tex].
A rectangle has a height of 7a^2 and a width of a^4+5a^2+4.
Express the area of the entire rectangle.
The product of Jack's age and Florence's age is 266. Jack is 14 years
old. How old is Florence?
Answer:
19
Step-by-step explanation:
you divide 266 by 14
Answer:
19
Step-by-step explanation:
266 ÷ 14 = 19
Bus a and bus b leave the bus depot at 6pm bus A takes 20 minutes to do its route and bus B takes 45 minutes to complete its route at what time are they both back at the bus depot together
Give your answer as a 12-hour clock time
Answer:
9:00pm
Step-by-step explanation:
20 + 20 + 20 +20 + 20 + 20 + 20 + 20 +20 = 180
45 + 45 + 45 + 45 = 180
Bus A would've taken 9 routes and Bus B would've taken 4, to reach the bus depot together
180 mins - hours = 3 hours
6 + 3 = 9
Write an equation in slope-intercept form for the line that passes through (−2,−5) and is parallel to the line described by y=2x+5 .
Answer:
y + 5 = 2(x + 2)
y + 5 = 2x + 4
y = 2x - 1
Step-by-step explanation:
pls help will mark as brainliest
Answer:
C
Step-by-step explanation:
Answer:
D cannot be used. first 3 are correct
Step-by-step explanation:
Please help
Find answer Asap and I will mark as brainliest!!
Answer:
3 units.
Step-by-step explanation:
If you view the triangle face in halves, the bottom leg is units as 8/2 = 4. The hypotenuse is 5 units given in the centre of the triangular prism. You can then use the Pythagorean theorem to calculate that the height is 3.
Write the equation of the circle P graphed below.
100 to anyone who can answer all of these !!!
Answer:
24yrds is (a) 24.12yrds is (b) 64yrds is (c) And that's all i can do, don't get mad at me please.
Step-by-step explanation:
I will mark brainliest to first correct answer!
Answer:
C
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
Fill in the blank. Given O below, you can conclude that so is congruent to
A. WA
B. WR
C. 0O
D. AO
Answer:
you never showed the graph so if this is it the answer is ao
Step-by-step explanation:
Solve 2x+7>+x +19
and can you do the same if 2 was 3.
2nd question is write an expression if 3 was open inequality and line continues past negative 5
Answer:
Step-by-step explanation:
Original problem:
2x + 7 > x + 19
Subtract x from both sides.
x + 7 > 19
Subtract 7 from both sides.
x > 12
Problem with 3 instead of 2.
3x + 7 > x + 19
Subtract x from both sides.
2x + 7 > 19
Subtract 7 from both sides.
2x > 12
Divide both sides by 2.
x > 6
2nd question (I'm not sure I understand it correctly.)
x < 3
Solving 2x + 7 > x + 19
2x + 7 > x + 19
Move 7 by subtracting from both sides.
2x > x + 19 - 7
2x > x + 12
Move x by subtracting from both sides.
2x - x > 12
x > 12
Therefore, x is greater than 12.
Solving 3x + 7 > x + 19
3x + 7 > x + 19
Move 7 by subtracting from both sides.
3x > x + 19 -7
3x > x + 12
Move x by subtracting from both sides.
3x - x > 12
2x > 12
Divide 2 on both sides to get x.
2x/2 > 12/2
x > 6
Therefore, x is greater than 6.
Part 2:
Write an expression for if 3 was open inequality and line continues past negative 5. This may not be correct due to the vagueness of what it's asking.
Expression: x < -5 < 3
x indicates all real numbers less -5
3 is open inequality and is the greatest
The 2nd question is like really vague.
Which of the following represents the factorization of the binomial below ? x^2 - 144
It factors to (x+12)(x-12)
This is the same as (x-12)(x+12) as we can multiply two expressions in any order we want. This is like saying 7*5 is the same as 5*7
I used the difference of squares rule to factor x^2 - 144. It might help to write x^2 - 144 as x^2 - 12^2, then compare it to a^2 - b^2 = (a-b)(a+b)
HELP PLEASE!!!!!
Predict how many times you will roll a number less than 5 if you roll a standard number cube 350 times. Round to the nearest integer, if necessary.
Answer:
233 Times
Step-by-step explanation:
In a standard cube, there are 6 faces labelled 1 to 6.
Numbers less than 5=1,2,3,4
The probability of rolling a number less than 5 =4/6
Therefore, if the standard number cube is rolled 350 times.
Number of Expected Outcome Less than 5
[tex]=\dfrac{4}{6}X350[/tex]
[tex]=233.33\\\approx 233$ (to the nearest integer)[/tex]
We would roll a number less than 5 233 times.
The graph of f(x) is shown. Estimate f(-3).
f(-3) = 1
Answer:
There is no graph.
But 1 would be a good estimate if f(-3)=1
Step-by-step explanation:
4) The diameter of a circle is 32m. The radius is represented by 4(x + 2).
Part A: Write an equation you can use to find the value of x.
Part B: What is the value of x?
Answer:
The value of x is 2
Step-by-step explanation:
Diameter = 2r -------------------------------------------------------------------(1)
where r is the radius
The value of the diameter = 32 m and radius is given to be 4(x+2)
substitute the above into equation (1) and then solve for x
32 = 2 [ 4(x + 2)]
first open the inner bracket
32 = 2[4x + 8}
then open the outer bracket
32 = 8x + 16
subtract 16 from both-side of the equation
32 - 16 = 8x +16 - 16
16 = 8x
Divide both-side of the equation by 8
16/8 = 8x/8
2 = x
x = 2
Therefore, the value of x is 2
What is 8,080 divided by 37 as a decimal? A) 218.378 B) 218.378 C) 218.378 D) 218.3783
Answer:
218.378 is the answer.
Answer:
D
Step-by-step explanation:
Because it is repeating decimal.
Hope this helps.
Find the missing angle measurements
Answer:
The angle for the top of the triangle is 79. For the right corner would be 56. Then going to the bottom of the blue triangle vertice would be 75. The missing angle next to that one would be 55/
Step-by-step explanation:
I need help.! ASAP PLEASE
Answer: The answer is 9
Step-by-step explanation:
It is 9 because 3x3x3x3 is basically 9x9 and 9x9 is 81, so 81 is the numerator. Then we gat to the denominator, which is 3x3 and 3x3 is 9. So the new fraction you get is 81/9, which is basically 81 divided by 9. 81 divided by 9 is 9.
Answer:
9
Step-by-step explanation:
Subtract 2 from the 4 exponents on the numeral, then multiply that exponent, which would be 3×3=9 .
In the figure below, APE and EPD are congruent.
What is the arc measure of BAD on circle P in degrees?
Answer:
arc BAD = 244°
Step-by-step explanation:
The sum of the angles around the centre of the circle = 360°, thus
∠APD = 360° - (136 + 74 + 42)° = 360° - 252° = 108°
The angle at the centre is equal to the arc that subtends it, thus
arc BAD = arc BA + arc AD = 136° + 108° = 244°
The requried measure of arc BAD on circle P is given as 244°.
What are the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
The Arc of the whole circle measures, 2π = 360°,
Angle ∠APD is given as
∠APD = 360° - (136 + 74 + 42)°
∠APD = 360° - 252° = 108°
The angle at the center is equal to the arc that subtends it, thus
Arc BAD = Arc BA + Arc AD
Arc BAD = 136° + 108° = 244°
Thus, the requried measure of arc BAD on circle P is given as 244°.
Learn more about Angles here:
https://brainly.com/question/13954458
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Which of the following statements best describes the value of the expression 12x + 2 when x = 9?
(HELP IM ON A TEST)
answering is c
Step-by-step explanation:
12×9=108
108+2=110
Answer:
c
Step-by-step explanation:
