Answers
9514 1404 393
Answer:
B. 7.85
Step-by-step explanation:
Your knowledge of the triangle inequality tells you 'b' cannot be greater than 11+14 = 25, eliminating choices A and C. If 'b' were 24.05, as suggested by choice D, the angle at B would be nearly a straight angle.
So, the only viable choice is b = 7.85.
__
Your knowledge of "special" triangles tells you that if B were 30°, then b would be 14/2 = 7.0. The angle is slightly larger than that, so the side opposite is slightly larger than 7.0.
__
In this geometry, the Law of Cosines would be used to find b. That relationship tells you ...
b = √(a^2 +c^2 -2ac·cos(B))
b = √(121 +196 -308·cos(34°)) ≈ √61.66 ≈ 7.85
_____
About special triangles
There are two "special" right triangles whose trig functions are not difficult to remember. They appear quite often in algebra, geometry, and trig problems, so remembering their properties can be useful.
A 30°-60°-90° right triangle has side lengths in the ratios 1 : √3 : 2. The shortest side is exactly half the length of the hypotenuse. This fact is what we referred to above.
A 45°-45°-90° isosceles right triangle has side lengths in the ratios 1 : 1 : √2. This is the triangle you get by drawing a diagonal in a square. These ratios tell you the diagonal of a square is always √2 times the side length.
Related Questions
PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!
There are 5 red marbles, 15 blue marbles, and 5 green marbles in a bag. You reach in and randomly draw a marble,
replace it, and draw another marble. What is the probability that the first will be red and the second will be blue?
a.) 20%
b.) 80%
c.) 8%
d.) 12%
Answers
Answer: Hope This Helps!
Step-by-step explanation:
I would estimate around 8% or 12% is the answer. Red Marbles are a small percentage and the chance it will be picked instead of something else is rare however blue marbles are the most common and chance one will be picked is fairly high.
The bar graph shows the amount of money raised by a theater club for five month
Theater Club Earnings
800
700
600
500
Amount Raised (Dollars)
400
300
11
200
100
0
April
May
January February March
Month
(Lesson
In which month were earnings 25% less than in February?
F January
H April
G March
3 May
Answers
Answer:
if 800 is february then the answer is 600
Step-by-step explanation:
Help it’s due in 10 minutes !!!!!!!!!!!!!!!
Answers
Answer:
add them up I don't know
Step-by-step explanation:
what is the volume of a bow with a width of 3/2 inches a length of 5/2 inches and a height of 4 inches
Answers
Answer:
v=LxWxH
v= 3/2x5/3x4
v=15/6x4
v=10in³
Help me HOW which choice is it
Answers
number 3 is correct
Step-by-step explanation:
smaller<bigger
The radius of a circle is 7 cm. Enter the circumference of the circle, in cm. Round your answer to the nearest hundredth.
Answers
Answer:
C = 43.98cm. This answer was taken online
Answer:43.98
Step-by-step explanation: Circumfernce = 2 pi r.So what we have to so is first 7(2) = 14 Next we multiply 14 by pi which is about 43.98229... Now we have to round to the nearest hundredth which is two place after the decimal point. So 8 is the number we are rounding. If we look to the right of 8 the number is 2. Anything below 5 we keep the number the same. There you have it your answer will be 43.98
what's one-sixth of 1/2
Answers
1/12
Hope this helps!
That is the answer
When oil is spilled in water, it creates a thin film of water approximately 1 micron thick. A barrel of oil is approximately 42 gallons of oil. If we spill a barrel of oil on the water, what is the area covered by the oil slick
Draw a sketch showing the relevant dimensions.
State your answer in square meters.
State your answer in square kilometers.
Answers
9514 1404 393
Answer:
158,987 m²0.158986 km²Step-by-step explanation:
42 gallons is about 0.158987 cubic meters. 1 micron is 1 micro-meter, or 10^-6 meters. The volume is the product of the area and thickness. For some area A, we have ...
0.158987 m³ = (10^-6 m)A
A = (10^6)(0.158987 m² = 158,987 m²
The area in square meters is 158,987.
__
A square km is (1000 m)² = 10^6 m². So, the area in square kilometers is about ...
(158,987 m²)/(10^6 m²/km²) = 0.158987 km²
The area in square km is about 0.1590.
6 times the difference between q and 1
Answers
Answer:
6q-1. It's not factorsble with rational mumbers.
Answer:
6q - 6
Step-by-step explanation:
6 x (q - 1) =
6 x q - 6 x 1 =
6q - 6
Hope that helps! :)
-Aphrodite
The product n and sum of n and 76
Answers
Answer:
n+76
n --> a number not determined (and a random product)
76 --> the number the problem gave
+ --> required for addition, which provides the sum
to bake a cake, the recipe calls for 6 eggs. Arline wants to bake 24 cakes for her schools bake sale. how many eggs will she need in all for the 24 cakes?
Answers
Answer:
144 eggs
Step-by-step explanation:
1 cake = 6 eggs
24 * 6 = 144 eggs in total.
A longer way to do it is by adding 6, 24 times.
6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6 = 144
But by multiplying, it makes it easier to find the answer.
Javier is buying oak flooring for the living room. How many square feet of flooring does he need to buy?
18 ft
9 ft
BRO
A 162 ft2
B 54 ft2
C 27 ft2
O D. 1812
PLEASE HELP ILL MARK YOU AS BRAINLESS
Answers
54 ft.
Step-by-step explanation:
add 18 on both sides which is 36. then do that with 9 9+9=18 and 18+18=36 36+18=54.
Reese used a $60 Amazon gift card to buy stickers for her friends. After paying for 12 stickers, her balance on the gift card was $18. What was the price of each sticker, assuming all the stickers cost the same amount?
Answers
Answer:
3.5 dollars per sticker
Step-by-step explanation:
60 - 18 = 42
42 ÷ 12 = 3.5
I think this is the correct but it may be not , sorry if I wasn't that helpful...
this might not be the last one
Answers
[tex]x = 74°[/tex] ✔
Step-by-step explanation:We know that,
[tex]\sf\purple{Sum\:of\:angles\:of\:a\:triangle}[/tex] = 180°
[tex]➡ \: 32° + x + x = 180° \\ ➡ \: 2x = 180° - 32° \\ ➡ \: x = \frac{148°}{2} \\ ➡ \: x = 74°[/tex]
To verify:-[tex]32°+74°+74°=180°\\✒\:180°=180°[/tex]
✒ L. H. S = R. H. S
Hence verified. ✅
[tex]\large\colorbox{orange}{Happy\:learning.✌️}[/tex]
PLZZ HELP!!!
Which graph shows the solution to the system of equations 2x + y = 4 and 3x - 2y = 6?
Answers
Answer:
the last one
Step-by-step explanation:
__________________
(3^6/7^-3)= Please I need help!!!
Answers
Answer: [tex]\frac{243}{7}[/tex]
Steps:
[tex]\frac{3^6}{7^-\cdot \:3}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:3[/tex]
[tex]=\frac{3^5}{7}[/tex]
[tex]3^5=243[/tex]
[tex]=\frac{243}{7}[/tex]
Hope This Helps!
Factor the Polynomial: 20x³+34x²+6x = ?
Answers
Answer:
2x(5x+1)(2x+3)=0
Step-by-step explanation:
x{20x^2+34x+6}=0
2x(10x^2+17+3)=0
2x(10x^2+15x+2x+3)=0
2x{5x(2x+3)+1(2x+3)}=0
2x(5x+1)(2x+3)=0
HELP FAST I just need answer
Answers
99 is decreased to 44
Answers
Answer:
99 -? = 44.
99 -a = 44.
99 -44 -a = 44-44.
55 = a.
4 (x + 2.5) = 48
Explain your reasoning as well.
Answers
Answer: 9.5 is the answer. You have to distribute through.
Explain: 4x+10=48
Subtract 10 from both sides you get 4x=38. Then divide both sides by 4 you get 9.5.
What is the lateral surface area, in square inches, of the figure formed by the net?
Answers
Answer:
71 in²
Step-by-step explanation:
surface area = (4×6)+(2×½×4×5)+(2×½×6×4.5)
= 24+20+27 = 71 in²
if you are given 80 grams of a radioactive element and told that its half-life is 10 years. How much will be left of the substance after 20 years.
Answers
Answer:
20 grams
Step-by-step explanation:
20 years is 2 half lives
1/2 * 1/2 = 1/4
1/4 * 80 = 20 grams
What is the volume of the rectangular prism? Help pls
Answers
Answer:
10ft³
Step-by-step explanation:
3 x 5 x 2 = 30
30 x 1/3 = 10ft³
What is the volume of the box
Answers
Answer:
Volume = 144 in.³
Step-by-step explanation:
Given:
Length = 9 in.
Width = 4 in.
Height = 4 in.
Required:
Volume
Solution:
Volume of a box = length * height * width
Volume = 9*4*4
= 144 in.³
The interest for a bank account is compounded quarterly. The equation 480(1.08)12 is used to calculate the value of the account after some amount of time.
The yearly interest rate for the account is
8%
3%
2%
32%
12%
Answers
Answer:
8%
Step-by-step explanation:
1.08 is an increase of 0.08, which is 8%
Answer: 3%
Step-by-step explanation:
since the total amount ended up being 12 your going to divide by 4 which is the quartly amount which is how u end up with 3%.
rotate the object 90 degrees around the origin. What are the new coordinates?
Answers
Answer:
s
Step-by-step explanation:
d
PLEASE HELP Amber has 7 books to read. She will read 1/2 of a book each day. How many days will it take Amber to read all 7 books?
Answers
Answer:
14 days
Step-by-step explanation:
Alfredo has different colored spiral notebooks in his backpack. Which of the following models could be used to simulate a 1 in 3 chance of Alfredo randomly selecting a red spiral from his backpack?
Answers
Answer:
the fourth option
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
Probability of choosing a red spiral = number of red spiral / total sum of spirals in the bag
1st option = 2 / 4 = 1/2
2nd option = 4/8 = 1/2
3rd option = 2/3
4th option = 2/6 = 1/3
the fourth option is correct
20. Miguel started with $50
in his bank account. He
deposited $20. The next day
he withdrew $40. How much
is in his bank account?
Answers
Answer:
-$10
Step-by-step explanation:
50-20=
30
30-40
= -10
= $70
Then subtract the $40 from the new total
70-40
=$30
Select the correct answer.
What is the measure of ABD?
(3x +9)
(45-6x)
C
OA 4
OB. 9
OC 21
OD. 27
OE 36
Reset
Next
Answers
Answer:
C. 21°
Step-by-step explanation:
In triangle ABC, perpendiculars dropped on the sides AB and AC from the ray BD are equal in measure or congruent.
Therefore, ray BD is equidistant from the sides AB and AC.
So, ray BD will be the bisector of angle ABC.
[tex] \therefore m\angle ABD = m\angle DBC[/tex]
(Angle bisector theorem)
[tex] \therefore (3x+9)\degree = (45-6x)\degree [/tex]
[tex] \therefore 3x+9 = 45-6x[/tex]
[tex] \therefore 3x+6x = 45-9[/tex]
[tex] \therefore 9x = 36[/tex]
[tex] \therefore x =\frac{36}{9}[/tex]
[tex] \therefore x =4[/tex]
[tex] \therefore (3x+9)\degree = (3*4+9)\degree=(12+9)\degree =21\degree [/tex]
[tex] \implies m\angle ABD=21\degree [/tex]
The measure of angle ABD is 21°. Therefore, option C is the correct answer.
What is an angle bisector?The angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts.
In triangle ABC, perpendiculars dropped on the sides AB and AC from the ray BD are equal in measure or congruent.
Therefore, ray BD is equidistant from the sides AB and AC.
So, ray BD will be the bisector of angle ABC.
m∠ABD=m∠DBC (Angle bisector theorem)
3x+9=45-6x
3x+6x=45-9
9x=36
x=36/9
x=4
So, 3x+9=3(4)+9=21°
Thus, m∠ABD=21°
Therefore, option C is the correct answer.
Learn more about the angle bisector here:
brainly.com/question/12896755.
#SPJ7