Answers
(A) There is only one possible solution
b = 16.3
C = 26°
B = 87°
_____
If you want to do this yourself, you can use the Law of Sines to find angle C.
.. C = arcsin(7.1/15*sin(67°)) ≈ 25.8302° . . . . don't round intermediate values
Then angle B is 180° -67° -angle C = 87.1698°
and side b is found from the Law of Sines:
.. b = 15*sin(C)/sin(A) ≈ 16.2755
Related Questions
what is 4/5 * 2
[tex] \frac{4}5 \times 2 [/tex]
Answers
---- x ---- = ---- = 1 3/5 or [tex]1 \frac{3}{5} [/tex] or 1.6
5 1 5
4/5+4/5= 1 so far. We now know that we have a whole number.
So then, we subtract 1 from the next fraction. So then, we would then do 1+3/5.
Remember that we took 0.1 from the other fraction.
Therefore, your correct answer would then be (1) 3/5
I hope this helps you!
A rectangular piece of poster board measurea 60 centimeters by 80 centimeters. Linn draws the net of a box on the poster board and cuts it out. If the box measures 10 centimeters by 16 centimeters by 27 centimeters, what is the area of the poster board left....
Plz help me....
thank you
Answers
4(16*27)=4*432=1728 cm squared
add 320+1728= 2048 cm squared
Finally, to find the area of the left poster board you have to subtract the area of the rectangle which is 4800 cm squared by the area of the box which is 2048 cm squared so 4800-2048=2752 cm squared
The pyramid of Khufu, also known as the Great Pyramid of Giza, is one of the Seven Wonders of the World. Its volume is about 2,433,400 cubic meters, and its height is about 138 meters. Substitute these values into the equation S = √3v/h, and solve the equation
Answers
The solution of then given equation is 221.31 meters.
What is the Volume?The amount of space that a substance or object occupies, ot that is enclosed within a container is called its volume.
Now it is given that,
volume of pyramid, v = 2,433,400 cubic meters
height of pyramid, h = 138 meters
Given equation is,
S = √3 v/h,
To find the solution of the given equation,put the value of v and h in the equation. So,
S = √3 x 2,433,400/138 meters
Solving it we get,
S = 221.31 meters
Hence, the solution of then given equation is 221.31 meters.
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leos total bill at the blue lobster ame to $45.90. He wanted to leave a 20% tip what would the total cost with the be?
Answers
Total cost = $45.90 + ($45.90 × 0.20)
Total cost = $45.90 + $9.18
Total cost = $55.08
Therefore, Leo should give $55.08 in total to leave a 20% tip.
which answer choice shows an expression meaning a number plus 13? A)x-13 B)13x C)x+13 D)x÷13
Answers
x plus 13 = x + 13
------------------------------------
Answer: x + 13 (Answer C)
------------------------------------
"number plus 13" = x + 13
Answer is C).
i need help please someone
Answers
Multiply the amount of fabric used by the number of dresses. 3/4 x 3= 9/4. Sammie uses 9/4 yards of fabric to make all 3 dresses.
I hope this helps!
1. A soup company uses a cylindrical can for their soup with a radius of 4 cm.
If the volume of the can is 240π cm3, what is the height of the can?
Explain how you determined the answer.
2.Consider a cylinder with radius 4 cm and a height of 12 cm.
Describe how to calculate the volume of the given cylinder and what the volume means.
3.A cracker company wants to make a rectangular box to hold their crackers.
They want the height of the box to be 10 inches and the width to be 4 inches.
Explain how to calculate the length the box needs to be in order for the volume of the box to be 200 cubic inches.
Answers
Cylinder
V = [tex] \pi r^2[/tex]
Rectangle
V = L x W x H
In the first problem, we have a cylinder and we are looking for the height. We know the volume (240), and we know the radius (4). We can use these values to fill in our formula, and then solve for the missing height. (This process is shown in the image).
In the second problem, we have a cylinder and we are looking for the volume. We know the radius (4), and we know the height (12). We can use these values to fill in our formula, and then solve for the volume. (This process is shown in the image).
In the third problem, we have a rectangle and we are looking for the length. We know the height (10), we know the width (4), and we know the volume (200). We can use these values to fill in our formula, and then solve for the length. (This process is shown in the image).
Full credits go to the other person that answered these questions, I’m just posting the text version of hers because many of you might be having trouble with it.
So, here it is:
1. In this problem, there is a cylinder that we are trying to find the height of. We know the radius which is 4, and we know that the volume which is 240.
V = πr^2
Volume: πr^2h
240 = π4^2h
240/16 = 16π(h)/16
H = 15cm
2. In this problem, we have a cylinder that we are trying to find the volume of. We know the radius which is 4, and we know the height which is 12.
Volume = πr^2h
V = π4^2(12)
= 16 π(12)
V = 192 π^2
3. In this problem, we have a rectangle that we are looking for the length of. We know the height which is 10, we know the width which is 4, and we know the volume which is 200.
Volume = L*W*H
200 = L*4*10
200/40 = 40L/40
L = 5in
Hope I helped!
How many square feet of outdoor carpet will need for this hole
Answers
naomi needs to solve 28 ÷ 7 = ?what related multiplication fact can she use to find the unknown number?
Answers
7•4 is 28 or
7+7+7+7 is also 28
Serena is making a model of one of the Egyptian pyramids. The square base has sides that are all 4.4 in. Each of the triangular faces has a base of 4.4 in and a height of 3.8 in. How much paper would it take to cover the entire pyramid?
A.
73.57 sq in
B.
82.78 sq in
C.
52.8 sq in
D.
12.6 sq in
Answers
Area of a Square: Length x Width
A = 4.4 x 4.4
A = 19.36
Area of a Triangle: [tex] \frac{Base x Height}{2} [/tex]
A = 4.4 x 3.8 ÷ 2
A = 8.36
** We have 4 triangles, and 8.36 is the area for ONE triangle. We can multiply this by 4 to determine the area of all of the triangles together.
8.36 x 4 = 33.44
Now that we have our area for the base of the pyramid and the walls of the pyramid, we can add them together to determine the total area, and how much paper Serena will need.
19.36 + 33.44 = 52.8
So, Serena will need 52.8 [tex] in^{2} [/tex] of paper to cover the entire pyramid.
The center on a target has a diameter of 5 inches. The whole target has a diameter of 25 inches. The center of the target takes up ____% of the whole target
Answers
To find the percentage, first find the area of both circles. The area formula is [tex] \pi r^{2} [/tex] . After finding the area of the center of the target (19.625) and the area of the large target (490.625), set up a percent proportion to determine the percentage that the center takes up:
[tex] \frac{is}{of} = \frac{percent}{100} [/tex]
[tex] \frac{19.625}{490.625} = \frac{percent}{100} [/tex]
Cross multiplying and dividing by 490.625 will give a total of 4%.
A storage room measures 48 inches by 60 inches.what is the total area in square feet of the closet?
Answers
2880 / 12 = 240
PLEASE HELP(.-. )
....
SIMPLIFY THE ROOT√124 AND EXPLAIN YOUR REASONING PLEASEEEE!! °ω°
Answers
I DONT KNOW!
THERES NO EXPLAINATION IN MATH.. LETS BE HONEST HERE.
√124
=√4 x 31
=√2 x 2 x 31
=√2 x 2 x √31
=2 x √31
=2√31
In this box-and-whisker plot, what is the maximum value of the data?
53
56
60
68
Answers
answer is 68
What is the distance between the points (3, 12) and (14, 2)?
Answers
Answer:
√221 or 14.866
Step-by-step explanation:
The distance formula is
[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
Using our coordinates, we have
[tex]d=\sqrt{(12-2)^2+(3-14)^2}\\\\=\sqrt{10^2+(-11)^2}\\\\=\sqrt{100+121}\\\\=\sqrt{221}\approx 14.866[/tex]
The distance between the points (3, 12) and (14, 2) is 14.86 units.
What is the distance between two points?The distance between two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
For given example,
We need to find the distance between points (3, 12) and (14, 2)
Consider given points as,
[tex](x_1,y_1)=(3,12)\\\\(x_2,y_2)=(14,2)[/tex]
Using the distance formula, the distance between two points would be,
[tex]\Rightarrow d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\\Rightarrow d=\sqrt{(14-3)^2+(2-12)^2}\\\\\Rightarrow d=\sqrt{(11)^2+(-10)^2}\\\\\Rightarrow d=\sqrt{121+100}\\\\\Rightarrow d=\sqrt{221}\\\\\Rightarrow d=14.86~units[/tex]
Therefore, the distance between the points (3, 12) and (14, 2) is 14.86 units.
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Explain how you can compare the size of a product to the size of a factor when multiplying fractions without actually doing multiplication including model
Answers
Imagine, if you had half a pizza and you ate one-half of that. You would multiply 1/2 by 1/2 and get an even smaller number. The result would be 1/4.
On the other hand, if you multiply a number by a mixed number that is larger than one, the result would be larger than when you started.
The Comparison size of product and factors is shown below.
What are factors?A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.
For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly.
A fraction less than one will result in a smaller product than the initial fraction when multiplied by a number.
Imagine that you only ate half of the pizza you ordered.
You would get a smaller value if you multiplied 1/2 by 1/2. It would come out to 1/4.
On the other hand, the outcome would be more than the starting value if you multiplied a number by a mixed number that is greater than one.
Learn more about factors here:
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The bar graph shows the number of dinner reservations at a restaurant for one week. What percent of the reservations were for Friday or Saturday? Monday 15 Tuesday 5 Wednesday 10 Thursday 25 Friday 40 Saturday 30 Sunday 35
Answers
Friday plus Saturday : 40 + 30 = 70
70 ÷ 160 = 0.4375
43.75 %
the function f(x) varies inversely with x and f(x) = 0.9 when x = 0.5 what is f(x) when x = 1.5 ?
a. 0.02
b. 0.03
c. 0.3
d.0.75
PLEASE HELP ME I WILL MARK BRAINLIEST!!!!!!!!!!!!!
Answers
When x = 1.5, the answer is 1.35
You're welcome :)
Answer:
the answer is 0.3
Step-by-step explanation:
Melanie wants to put ribbon around the circumference of a circular section of the city park. Ribbon comes in rolls of 40 feet. The radius of the section of the park is 100 feet. How meany rolls of ribbon should Melanie buy?
Answers
Answer:
21/2
Step-by-step explanation:
find the area of a triangle with 4 yd and 8 yd
Answers
The formula for finding the area of a triangle is:
a = [tex] \frac{1}{2} [/tex] lh
Where l is the length of the triangle and h is the height.
So the formula would be a = [tex] \frac{1}{2} [/tex] 4*8 which equals 16!
Well you have to add
+8 which makes 12 so add 12 and you get 24
Express the series in summation notation. 2 + 4 + 6 + 8 + 10 + 12
Answers
The summation notation of the series 2 + 4 + 6 + 8 + 10 + 12 is [tex]\sum\limits^6_{n=1} {2n}[/tex]
How to rewrite the series using summation notation?The series is given as:
2 + 4 + 6 + 8 + 10 + 12
The above series is an arithmetic series with the following parameters:
First term, a = 2Common difference, d = 2Number of terms = 6So, the nth term of the series is:
Tn = a + (n - 1)d
This gives
Tn = 2 + (n - 1) * 2
Expand
Tn = 2n
The summation notation is then represented as:
[tex]\sum\limits^6_{n=1} {2n}[/tex]
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Can ratios have decimals in them or do all the numbers have to be integers? E.g. is 7.8:1.3:6.5 a valid ratio?
Answers
78:13:65
It also depends on what your teacher is asking of you.
Final answer:
Yes, ratios can include decimals. They can represent quantities in numerous contexts such as scale distances, dimensions, and proportions. The ratio 7.8:1.3:6.5 is, therefore, a valid expression.
Explanation:
Ratios can indeed include decimals in them; they do not need to be limited to integers. Ratios are a way to compare two or more quantities, which can be whole numbers, fractions, or decimals. Just as fractions, ratios express the relationship between parts of a whole or between two quantities in a specific order. For example, the ratio 7.8:1.3:6.5 is valid and represents the relative quantities of three different entities. In many contexts, such as in scale distances or dimensions, the use of decimal ratios is quite common. When dealing with scale factor to find actual dimensions, the ratio could also include decimals, as it compares the scale dimensions to actual dimensions of an object or distance. For example, on a map with a unit scale of 1 inch equals 100 feet, the ratio would be written as 1/100 or in decimal form, 0.01/1.
what is 3yr 4mo-1yr 11mo
Answers
CONVERT BOTH TO MONTHS
(3 yrs * 12 mos/yr) + 4 mos = 40 mos
(1yr * 12 mos/yr) + 11 mos = 23
SUBTRACT MONTHS
40 mos - 23 mos= 17 mos
DIVIDE TO FIND # YEARS/MONTHS
17 mos ÷ 12 mos/yr= 1 year 5 months
ANSWER: 1 year 5 months
Hope this helps! :)
The length of the minute hand is 200% of the length of the hour hand.
In 1 hour, how much farther does the tip of the minute hand move than the tip of the hour hand? Round your answer to the nearest hundredth.
(The length of the hour hand is 20mm)
Answers
This is because each circumference is equal to 2[tex] \pi [/tex]r. So the distance the minute hand would travel would be 40[tex] \pi [/tex]. Then the minute hand would have a circumference of 20[tex] \pi [/tex]. However, you would have to divide that by 12 since it only traveled 1/12th of the distance around.
When you subtract the hour hand's distance from minute hand's distance, you get the answer above.
4a - 4( 15a - 2) - 8
Answers
The problem to solve: 4a - 4(15a - 2) - 8
The first thing to do is to apply the Distributive Property, which is: a(b + c) = ab + ac.
Here we have: -4(15a - 2). We must multiply -4 by 15a and -2. Let's do it.
4a - 4(15a - 2) - 8
4a - 60a + 8 - 8
Now we can go ahead and combine like terms; add the constants and add the a-terms. 4a minus 60a is equal to negative 56a. 8 minus 8 is zero, so the 8's cancel out, and we're left with:
-56a
That's your answer! I hope this helps you. (:
In order to simplify this expression (notice how it's an expression and not an equation because it's not set equal to something) we can use addition and subtraction, and the distributive property which is defined as:
a(b+c) = ab + ac
Using this property, we can simplify this expression to:
4a - 60a + 8 - 8
Notice how -4(-2) was positive 8.
Simplify "a" terms:
-56a + 8 - 8
Since it's +8 - 8, the 8's cancel out.
Therefore, we just have -56a.
Hope this helps!
Regular triangular pyramid has the slant height k=12 cm and lateral area AL = 198 cm2. Find the length of the base edge.
Answers
A = 1/2 bh
198 = 1/2 x b x 12
198 = 6b
b = 33 cm
We know the total area and we know the slant height is 12 cm so we substitute these in and solve for h.
The length of the base edge is 33 cm. You should substitute this back in to check.
1/2 x 33 x 12 = 198 square cm.
Answer:
The Answer is: 11 cm
one-half of a number increased by 16 is 4 less than two-thirds of the number what is the number.
Answers
When Mr. Krumm purchased a tie he paid $9.27, which included the 3% sales tax. How many dollars did the tie cost before the tax was included?
Answers
103% = 9.27
To find the price before tax, we need to find 100% of the price.
103% = 9.27
1% = 0.09
100% = 0.09 x 100 = $9
The price before tax is $9.
I hope this helps :)
Write this number in standard form.
one and four tenths
Answers
[tex]1.4 \: or \: 1 \frac{4}{10} [/tex]
A bicyclist heads east at 10km/h. After she has traveled 24.2 kilometers, another cyclist sets out in the same direction going 30km/h. About how long will it take the second cyclist to catch up to the first cyclist?
Answers
[tex]t= \frac{24.2}{10} [/tex]
[tex]t=2.42[/tex]
So, we know that she has traveled for 2.42 hours.
We also know that after she has traveled for 2.42 hours another cyclist sets out in the same direction, so if [tex]t[/tex] represents the time of our first cyclist, the time of our second cyclist will be [tex]t-2.42[/tex].
Now we are going to use the equation [tex]distance=(speed)(time)[/tex] to relate the speeds and times of the two cyclist:
For the first one:
[tex]distance=10t[/tex] equation (1)
For the second one:
[tex]distance=30(t-2.42)[/tex] equation (2)
Replace (1) in (2)
[tex]10t=30(t-2.42)[/tex]
The only thing left now is solve for [tex]t[/tex]:
[tex]10t=30t-72.6[/tex]
[tex]-20t=-72.6[/tex]
[tex]t= \frac{-72.6}{-20} [/tex]
[tex]t=3.63[/tex]
We can conclude that the second cyclist will catch up the first cyclist after 3.63 hours.