Convert each unit of weight....5,500 Ib = ____T
What is 4,321,109,432 rounded to the nearest ten million?
A. 4,000,000,000
B. 4,320,000,000
C. 4,321,000,000
D. 4,322,000,000
Final answer:
The number 4,321,109,432 rounded to the nearest ten million is 4,320,000,000,hence the correct option is B.
Explanation:
To round the number 4,321,109,432 to the nearest ten million, we need to look at the digit in the ten million's place and the digit to the right of it, which are 3 and 1, respectively. The rule for rounding is that if the digit to the right is 5 or greater, we round up.
In this case, the digit is 1, so we do not round up and the ten million's place remains unchanged.
Therefore, the answer is 4,320,000,000 (Option B), as every digit after the ten million's place is replaced with zero.
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What is the trigonometric ratio for cosN ?
Enter your answer, as a simplified fraction, in the boxes.
Given is a Right triangle LMN with right angle at M i.e. angle M = 90 degrees.
Given are the sides LM = 15, MN = 36, and LN = 39.
It says to find cos(N) = ?
So opposite side would be LM, adjacent side would be MN, and LN is the hypotenuse.
We know about the "Soh-Cah-Toa" rule in which cosine ratio is given by :-
[tex] cos(N) = \frac{Adjacent}{Hypotenuse} \\\\
cos(N) = \frac{MN}{LN} \\\\
cos(N) = \frac{36}{39} \\\\
cos(N) = \frac{12}{13} [/tex]
Hence, final answer is [tex] cos(N) = \frac{12}{13} [/tex].
7y+4x=3; (-4,-7) write the equation in slope intercept form
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Question 16 Unsaved
Which of the following statements is true?
Question 16 options:
-4.5 < -5.8
-3.4 > -4.2
0 < -8.5
3.9 < 1.3
help please thanks
Which trinomials are perfect square trinomials?
Select each correct answer.
a2+15a+75
a2+26a+169
a2+14a+49
a2+4a+16
Which expressions are differences of squares?
Select each correct answer.
t2−4
h2−20
x2−169
a2+1
i need really need help please
the midpoint od EF is point P at (-6 -2). If point E is at (2,-4), what are the coordinates of point F
A box of candy contains 6 lemon, 3 orange, and 4 cherry pieces. If you select a piece of candy at random, what is the probability that you select an orange OR a cherry piece?
rectangle abcd is similar to rectangle pqrs. given ab=14 cm, BC=8cm and pq=21cm, calculate the length of QR
The length of QR in rectangle PQRS is 12 cm, found by setting up the proportional relationship 14/21 = 8/QR, where 14 cm and 8 cm are the lengths of sides AB and BC of rectangle ABCD, respectively, and 21 cm is the length of side PQ of rectangle PQRS.
Since rectangle ABCD is similar to rectangle PQRS, their corresponding sides are proportional. To find the length of QR, we will set up a proportion using the given lengths:
AB/PQ = BC/QR
Substituting the given lengths:
14/21 = 8/QR
Now, solve for QR:
QR = (21 * 8) / 14
QR = 168 / 14
QR = 12 cm
So, the length of QR in rectangle PQRS is 12 cm.
The price of oil recently went from $7.80 to$10.40 per case of quarts. Find the ratio of the increase in price to the original price.
There are 20 children at a library. Six of the children have an average age of 5 years. The remaining children have an average age of 8 years. What is the average age of the children at the library? Enter your answer in the box. WILL GIVE BARINLIYEST
mario earns money mowing his neighbors lawns the revenue for mowing x lawns is r(x)=25x marios cost for gas and the mower rental is c(x)=6x+15 his profit from mowing x lawns is p(x)=(r-c)(x) what is p(x)
Answer:
p(x) = 19+15
Step-by-step explanation:
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A metal rod is
7/8
meters long. It will be cut into pieces that are each
1/56
meters long. How many pieces will be made from the rod?
Write your answer in simplest form.
EMERGENCY PLEASE HELP REALLY HARD!
The first and fourth terms of a geometric sequence are shown.
−2,___ , ___, 128
What are the second and third terms of this geometric sequence?
16x-10y=10
-8x-6y=6
can someone help me understand this question?
Translate this sentence into an equation.
33 is the product of Jenny's height and 3
Use the variable
to represent Jenny's height.
Two rectangles are similar. If the height of the first rectangle is 3 inches, and the height of the second rectangle is 9 inches, how much longer is the second rectangle's perimeter? 3 times as long 6 times as long 9 times as long 6 inches longer
Answer:
Option a.
Step-by-step explanation:
Two rectangles are similar. Height of one rectangle is 3 inches and height of second rectangle is 9 inches.
Let width of rectangles are x inches and y inches.
Then width of the second rectangle will be in the same ratio as of their heights.
[tex]\frac{x}{y} =\frac{3}{9}[/tex]
[tex]\frac{x}{y} =\frac{1}{3}[/tex] ⇒ x = [tex]\frac{y}{3}[/tex]
Now perimeter of first rectangle P₁ = 3 + 3 + x + x = 2x + 6
Perimeter of second rectangle P₂ = 9 + 9 + y + y = 18 + 2y
Ratio of P₁ and P₂ = [tex]\frac{2x+6}{18+2y}[/tex]
= [tex]\frac{2(\frac{y}{3})+6}{18+2y}[/tex] [as [tex]x=\frac{y}{3}[/tex]]
= [tex]\frac{\frac{(2y+18)}{3} }{(18+2y)}[/tex]
= [tex]\frac{2y+18}{3(18+2y)}[/tex]
Ratio of P₁ and P₂ = ([tex]\frac{1}{3}[/tex]) ⇒ P₂ = 3P₁
Therefore, Option a is the answer.
Need this answered today also explain the answers please
Julia measured the high temperature in her town for one week. Using the chart below, find the mean absolute deviation for the high temperatures. Round your answer to the nearest tenth. Be sure to show your work for finding:
the mean of the set of data
the distance of each number from the mean
the mean absolute deviation
Last one give me the best answer
How did convenience store there is a 25% chance as customer enters the store within one minute of closing time describe the complementary and find this probability
Are these correct please help
Suppose two fractions are both less than 1. Can their sum be greater than 1? greater than 2?
help help help!!!ill return
A high-speed elevator can rise 480 feet in 30 seconds. Which expression represents the rate, in feet per minute, of the elevator?
a- 480 × 30
b- 480 ÷ 30
c- 480 × 0.2
d- 480 ÷ 1/2
what formulas could be used to determine the surface area of a cylinder sandwiched between one cone and half of a sphere?
To find the surface area of a cylinder sandwiched between one cone and half of a sphere, use the sum of the cylinder's lateral surface area, the cone's lateral surface area, and half the sphere's surface area. The formula is 2πrh + πrl + 2πr², excluding the base areas where the shapes intersect.
To determine the surface area of a cylinder sandwiched between one cone and half of a sphere, you should first consider the formulas for the surface area of these individual shapes. The shapes consist of simple geometrical forms: a cylinder, a cone, and a sphere. The surface area of these shapes can be described with established formulas within the geometry:
Cylinder: The surface area of a cylinder (excluding the ends) is calculated by multiplying the perimeter of the base circle (which is 2πr, where r is the radius) by the height h of the cylinder plus the area of the two circles (2πr²). This gives: 2πrh + 2πr².Cone: The surface area of a cone is the sum of the area of its base (πr²) and the lateral surface area, which is πr times the slant height. However, if the cone is placed on one end of the cylinder and they share a base, you do not need to calculate the area of the base since it is covered by the cylinder. You would just need the lateral surface area of the cone (πrl, where l is the slant height).Sphere: Half of the surface area of a sphere is 2πr² since the full surface area is 4πr².Therefore, the final formula to calculate the total surface area of the described complex shape is the sum of the surface area of the lateral side of the cylinder, the lateral surface area of the cone, and half of the surface area of the sphere. This could be written as:
Total Surface Area = 2πrh + πrl + 2πr².
Note that you would omit the area of the circle that is common between the cylinder and the cone, as well as the area that is common between the cylinder and the half-sphere, since they are internall and not part of the external surface area.
A student solved this problem by working backward. Janice went shopping with her mom and at the end of the day she had $59.50 left over. She spent $13.65 on a T-shirt, $22.99 on some new sandals, and $40.75 on a new skirt. How much money did Janice have at the beginning? Student's solution - Janice had $59.50 left. Add up all the amounts she spent ($13.65 + $22.99 + $40.75) and add to the amount she has left over ($77.39 + $59.50). So Janice had $136.89 to begin with. Solve this problem. Dale was fixing his fence. At the end of the day, he had 12.5 feet of wood left over. During the day he had used one 3.5 foot long piece of wood, two 5.9 foot long pieces of wood, and one 10 foot long piece of wood. How many feet of wood did Dale have at the beginning of the day? feet
Anyone know this please and thank you
If c=3k+4 and d=7+9k^2, what is d in terms of c?
Answer:
d = (c -4)² +7 = c² -8c +23
Step-by-step explanation:
Both 'c' and 'd' are expressed in terms of the variable k. In general, that variable is eliminated by writing k in terms of 'c' or 'd', then substituting for k in the other equation.
Eliminating kWe recognize that the 9k² term in the expression for 'd' is the square of the 3k term in the expression for 'c'. That means we don't have to solve for k; we only need to solve for 3k. The equation for 'c' gives an easy way to do that.
c = 3k +4
c -4 = 3k . . . . . . . subtract 4 to get an expression for 3k
Substituting into the equation for 'd', we have ...
d =7 +9k²
d = 7 +(3k)² . . . . . writing 9k² in terms of 3k
d = 7 +(c -4)² . . . . substituting for 3k. This is d in terms of c.
This can be simplified to ...
d = c² -8c +23 . . . . another form of d in terms of c.
To express 'd' in terms of 'c', solve the first equation for 'k' and substitute this value into the second equation. This yields: d=7+((c-4)^2)/3.
Explanation:To express d in terms of c, we first need to make k the subject of c=3k+4. We do this by subtracting 4 from both sides, getting c-4=3k, and then dividing both sides by 3, which gives us k=(c-4)/3. Next, we substitute this value of k into the second equation: d=7+9k^2. Substituting, we get d=7+9*((c-4)/3)^2, which, when simplified, gives the result d=7+((c-4)^2)/3. This is the expression for d in terms of c.
Learn more about Equation substitution here:https://brainly.com/question/10852714
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How do u solve g/12=-10