Given:
In triangle GHI, h = 300 inches, G=30° and H=29º.
To find:
The length of i.
Solution:
We have, G=30° and H=29º.
Using angle sum property, we get
[tex]m\angle G+m\angle H+m\angle I=180^\circ[/tex]
[tex]30^\circ+29^\circ+m\angle I=180^\circ[/tex]
[tex]59^\circ+m\angle I=180^\circ[/tex]
[tex]m\angle I=180^\circ-59^\circ[/tex]
[tex]m\angle I=121^\circ[/tex]
According to Law of sines,
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
Using Law of sines, we get
[tex]\dfrac{h}{\sin H}=\dfrac{i}{\sin I}[/tex]
[tex]\dfrac{300}{\sin 29^\circ}=\dfrac{i}{\sin 121^\circ}[/tex]
[tex]\dfrac{300}{0.4848}=\dfrac{i}{0.8572}[/tex]
Multiply both sides by 0.8572.
[tex]\dfrac{300}{0.4848}\times 0.8572=i[/tex]
[tex]530.44554=i[/tex]
[tex]i\approx 530[/tex]
Therefore, the length of i is about 530 inches.
PLEASE HELP ME THANK YOU!!!
A cylinder has a height of 10 ft and a volume of 25,456 ft³.
The radius of the cylinder is approximately ___ feet.
Round your answer to the nearest whole number.
Answer:
The radius of the cylinder is approximately 28 feet.
Step-by-step explanation:
Volume of a cylinder = πr^2 h
⇝ 25,456 = π r^2 10
⇝r^2 = 25456 *7 / 22*10
⇝r^2 = 178192/220
⇝r = √809.9636
⇝r = 28.45 ft
which answer is correct
Answer:
From top to bottom: 1,3,4
Sharon filled the bathtub with 38 gallons of water. How many quarts of water did she put in the bathtub?
Answer:
152 US quarts
Step-by-step explanation:
4 x 38 = 152
quarts = 4 of something
Answer:
152
Step-by-step explanation:
38 x 4 = 152
Make y the subject in 5x + y =12
Answer: M= -5
Step-by-step explanation: -5x+12
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
y = 12 - 5x
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
PLEASE HELP ASAP WILL MARK BRAINLIEST
Answer: ima answer so u can give him brainliest
Step-by-step explanation:
Sara can travel 23 feet in 11 hours. Please calculate Sara's rate of speed. (round to 2 decimal places)
Answer:
How do I ask a question on here?
Step-by-step explanation:
Answer: 12
Step-by-step explanation: you welcome
Elijah earns $200 for 8 hours of work.What is the rate (in dollars per item)
Julius is going to have a meal with an appetizer and an entrée.
There are 3 choices for the appetizer and 4 choices for the entrée.
How many different meals does he have to choose from?
I think he have choose 10
Pleaseeeeeeeeeeeeee !!
Answer:
90
Step-by-step explanation:
all angels equal 180 so add the two you have then subtract 180 with the answer you got
9)
Find the slope of a line perpendicular to y = 3x + 7.
A)
-3
B)
NE
3
D) 3
Answer: B because it's the absolute opposite of 3x. This means that 3/1 flipped over is 1/3 and the opposite of a positive is a negative.
Karen took out a loan for $725 with a 2.5% interest rate that is compounded annually. No additional money will be deposited or withdrawn from the account. How much in interest will Karen pay back at the end of 18 months?
Answer:
$29
Step-by-step explanation:
You divide 2.5 by 100 the you multiply that by 725 and sense its months it would be converted to 1.6 so you multiply 725 1.6 and the answer to 2.5 divide by 100
u just gotta find the area
Answer:
28
Step-by-step explanation:
A jar contains 5 blue marbles, 1 yellow marble, and 4 green marbles. What is the probability of randomly choosing a yellow marble, replacing it , and then choosing a yellow marble again
Answer:
1/100
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 ids attached to the event. If it doesn't a value of zero is attached to the event.
the probability = (number of yellow marbles / total number of marbles) x (number of yellow marbles / total number of marbles)
total number of marbles = 1 + 5 + 4 = 10
(1/10) x (1 / 10) = 1 /100
which of the following is equivalent to this expression? 6*6^2*6^2
a) 6^6
b) 6^3
c) 6^4
d) 6^5
The temperature on Tuesday was −5 ∘C. The temperature on Wednesday was 5 ∘C
Write an inequality that correctly compares the temperatures. Which one of the following descriptions is correct?
Answer:
The temperature was higher on Wednesday than on Tuesday.
Find the vector equation of the line
y=6x−4
.
Correct answer selected
r(t)=(6+26t,32+156t)
r(t)=(6−26t,32+156t)
r(t)=(32+26t,6+156t)
r(t)=(6+156t,6+26t)
I hope someone seriously helps him :(
Step-by-step explanation:
sorry I couldn't help ya
if we added a 4th person to the race, what is the probability of the 4th person winning the race?
Answer:
1/4 chances
Step-by-step explanation:
its like rolling a dice. Six sides, Six different numbers, one will be picked
Giving brainlist to whoever answers
Answer:
45 i believe
Step-by-step explanation:
first come first served brainiest *easy*
Answer:
15
Step-by-step explanation:
Answer:
7. Obtuse and 148 degrees
8. Acutes and 20
Step-by-step explanation:
can someone help me find the value of A, B, and C
HELP! plz worth 40 points if u help wit all of them. plzz due in 10 mins where I live.
Plus brainliest and ( Ik Itz NOT math but plzz)
Answer:
List One: Sweet - List Two: suite
List One: pray - List Two: prey
List One: poll - List Two: pole
List One: waste - List Two: waist
List One: Manor - List Two: manner
List One: Pier - List Two: Peer
List One: current - List Two: currant
List One: presence - List Two: presents
List One: council - List Two: counsel
List One: stationary - List Two: stationery
Step-by-step explanation:
PLS HELP WITH THIS QUESTION!!!!! I’ll give brainliest
Answer:
∠P = 21
Step-by-step explanation:
angle P is an inscribed angle and arc RQ is the arc it intercepts
The measure of an inscribed angle is equal to half the measure of the arc it intercepts.
Hence, ∠P = [tex]\frac{1}{2}[/tex] ( arc RQ )
So if arc RQ = 42°
Then ∠P = 42/2
42 / 2 = 21
Hence, ∠P = 21°
calculate the Area of the shaded region. someone please help!
Answer: 12pi
Step-by-step explanation: 12pi is the answer orrrrrr 37.68 if pi is 3.14
Select all the statements that describe the expression 5+2x.
The expression represents the sum of 5 and 2x.
The expression represents the sum of 5 and 2x.
The expression represents 5 plus x plus x.
The expression represents 5 plus x plus x.
The expression represents 5 plus 2 times x.
The expression represents 5 plus 2 times x.
The expression represents 5 plus 2 plus x.
The expression represents 5 plus 2 plus x.
The expression represents the product of 5 and 2x.
The expression represents the product of 5 and 2x.
The expression represents 5 plus x times x.
Answer:
The expression represents the sum of 5 and 2x.The expression represents 5 plus x plus x.The expression represents 5 plus 2 times x.A triangle has angle measurements of 56°, 54°, and 70°. What kind of triangle is it?
Answer:
Right, I am an idiot so i might be wrong
Step-by-step explanation:
Every triangle has three angles which sum to 180 degrees.
There are three types of triangles based on the measures of its angles.
Right Triangle - Has one 90 degree angle
Acute Triangle - All angles less than 90 degrees
Obtuse Triangle - One angle greater than 90 degrees
In this example we are given 2 angles and must find the measure of the 3rd.
a + 56 + 34 = 180
a + 90 = 180
a = 90
Therefore, it is a Right Triangle.
A video recorder has. a cash price of a $2500.
find hire purchase price if it may also be bought
for a deposit of 10% and 24 montly payments
of $95?
Answer:
$2530
Step-by-step explanation:
hire purchase = dp+Ap
250+(24*95)
=$2,530
Last year a student correctly answered 4/5 of the total 40 questions given.What percent of the total questions she correctly answered?
PLS HELP, WILL GIVE BRAINLIEST AND POINTSSSSSS
i'm rlly confused on this, I think maybe it's .D???
Pls someone answer and explain!!!
and no links, please and thankyou
Answer:
i think your right - it might me d cause woudn't the gravity and the surface cancel out and the force would make it move because there is no opposite force i donkt know tho
I need help on this and if you the first person to answer this correctly then I would mark you BRANILIST
Answer:
C
Step-by-step explanation:
A rational number can be expressed in the form
[tex]\frac{a}{b}[/tex] ← a, b are integers
A
[tex]\sqrt{81}[/tex] = 9 = [tex]\frac{9}{1}[/tex] ← rational
B
9.5 = 9 [tex]\frac{1}{2}[/tex] = [tex]\frac{19}{2}[/tex] ← rational
C
π is irrational then 5π is irrational
D
[tex]\sqrt{3^2}[/tex] = [tex]\sqrt{9}[/tex] = 3 = [tex]\frac{3}{1}[/tex] ← rational
Answer:
c
Step-by-step explanation:
A rational number can be expressed in the form
← a, b are integers
Which of the following segments is a radius of A?
А. ТА
B.TR
C. GP
D. RP
Answer:
Step-by-step explanation:
Answer A is correct. Remember that a radius stems from the center and ends on the rim of the circle, as shown here.
(a) TA
hope this helps :))