Step-by-step explanation:
Using Cosine rule, we have:
q² = r² + s² - 2(r)(s)(cosQ)
= 380² + 390² - 2(380)(390)(cos48°)
= 98169.688cm²
Hence q = 313cm. (nearest centimeter)
The required value of side q is 313 cm for the triangle ΔQRS.
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180°
Given that,
In triangle QRS side r = 380 cm, side s = 390 cm and angle Q = 48°.
To find the length of the side q,
Use cosine rule,
[tex]cos Q = \frac{(r^2 + s^2 - q^2)}{(2\times r \times s)}[/tex]
Substitute the values here,
[tex]cos 48 = \frac{(380)^2 + (390)^2- q^2}{2\times380 \times390} \\[/tex]
[tex]0.67 = \frac{144400 + 152100 - q^2}{296400}[/tex]
198,588 = 296500 - q²
q² = 97912
q = 312.90
q = 313 cm
The value of side q is 313 cm.
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what i sthe answer to 6a+5a-b-5b+2a
Answer:
13a-6b
Step-by-step explanation:
Answer:
13a - 6b
Step-by-step explanation:
combine like terms:
6a+5a-b-5b+2a
combine all the terms with the variable "a"
13a-b-5b
combine all the terms with the variable "b"
13a-6b
If m ABC = 122°, and m
then m
Answer:
m < DBC = 51
Step-by-step explanation:
Looking at the picture, we know <ABD and <DBC make up <ABC. Knowing this, we can set up an equation like so, plug in the known values, and solve to find m<DBC:
[tex]m<ABC = m<ABD + m<DBC\\122 = 71 + m<DBC\\m<DBC = 122 - 71\\m<DBC = 51[/tex]
The local school board wants to get parents to evaluate teachers. They select 100 parents and find that 89% approve of their child’s teacher
Answer:
Ok? Did you finished asking the question? Just in case, that is 89/100 or 0.89
Step-by-step explanation:
Here, Population: All parents, Sample: 100 parents and Parameter: Parents’ approval of teachers
What is sample space in probability?The sample space of a random experiment is the collection of all possible outcomes. An event associated with a random experiment is a subset of the sample space. The probability of any outcome is a number between 0 and 1. The probabilities of all the outcomes add up to 1.
Given that, A local school board wants to get parents to evaluate teachers. They select 100 parents and find that 89% approve of their child’s teacher, here we need to find the population, sample and parameter of interest
So, as we see,
The population is the entire group that you want to draw conclusions about.
Therefore, the population here is = All parents
The sample is the specific group that you will collect data from.
Therefore, the sample = 100
The parameter is any characteristic that can help in defining or classifying a particular system.
Therefore, the parameter = Parents’ approval of teachers
Hence, we get Population: All parents, Sample: 100 parents and Parameter: Parents’ approval of teachers
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Solve the equation and leave your answers as simplified 8-3x/2=5 fractions or as decimals
Answer:
8-3x/2= 5
=>-3x/2=5-8
=>-3x=-3×2
=>-x=-6/3
=>x=2
From his house, Tristan could drive due north to get to his parents' house or he could drive due east to get to his grandparents' house. It is 6 miles from Tristan's house to his parents' house and a straight-line distance of 6.4 miles from his parents' house to his grandparents' house. How far is Tristan from his grandparents' house? If necessary, round to the nearest tenth.
Answer:
[tex]TG = 2.2[/tex]
Step-by-step explanation:
Represent Tristan's house with T, his grandparent's with G and his parents with P.
Such that:
[tex]TP = 6[/tex]
[tex]GP = 6.4[/tex]
Required
Find TG
To solve this, we make use of Pythagoras Theorem which is represented as:
[tex]GP^2 = TP^2 + TG^2[/tex]
Substitute values for GP and TP
[tex]6.4^2 = 6^2 + TG^2[/tex]
[tex]40.96 = 36 + TG^2[/tex]
Collect Like Terms
[tex]TG^2 = 40.96 - 36[/tex]
[tex]TG^2 = 4.96[/tex]
[tex]TG = \sqrt{4.96[/tex]
[tex]TG = 2.2[/tex] --- Approximated
Hence, the distance between Tristan ans his grandparent's house is 2.2 miles
Two 6-sided dice are rolled. What is the probability that the sum of the two numbers of the dice will be less than 6?
Answer:
I believe it would just be 5/6.
Step-by-step explanation:
In a six-sided dice, there are five numbers less than 6!
Step-by-step explanation:
sum of dice=1+2+3+4+5+6=21
sum of two sided dice=21(2)=42
sum of numbers less than 6=1+2+3+4+5=15
probability of two numbers less than 6=2/12=1/6
Tyler answered 152 questions correct on his multiple choice history final and earned a grade of 76%. How many total questions were on the final exam?
Answer:
200 questions
Step-by-step explanation:
152 questions correct and earned 76%
so, 152/x = 76/100
x= 152*100/76
x=200
Hope this helps plz hit the crown :D
its given that x varies directly with y square and x=3 and y=3.Find the value of x when y=45
Step-by-step explanation:
x = ky², where k is a real constant.
When x = 3, y = 3.
=> 3 = 9k, k = 1/3.
Therefore x = y²/3.
When y = 45, x = 45²/3 = 675.
Look at this graph
What is the slope?
I’ll mark as brainiest!!!
Worth 18pts!!
Answer:
m = 2Step-by-step explanation:
Use two points on the graph to find the slope:
(40, 0) and (50, 20)The slope is:
m = (y2 - y1)/(x2 - x1)m = (20- 0)/(50 - 40) = 20/10 = 2Answers:
A.y=-6x-3
B.x y
0 -1
4 -4
8 -7
12 -10
C.y=-3x+4
D.x y
-2 1
2 7
6 13
10 19
Please help
Answer:
y=-3/4x-3
Step-by-step explanation:
HELP WILL GIVE BRAINLIEST!!!!!
Answer:
D
Step-by-step explanation:
For sure, it cannot be easily explained. Plus you need this answer now. CORRECT AND CHECKED!
Use a pythagorean triple to the lengths of the hypotenuse of a right triangle if the legs have lengths of 20 units and 48 units
Answer:
52 units.
Step-by-step explanation:
Use the Triple 5-12-13
20 / 4 = 5
48/ 4 = 12
So the hypotenuse = 4 * 13 = 52.
The lengths of Hypotenuse 52 units.
What is Pythagoras Theorem?The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
According to the Pythagoras theorem, the square of the hypotenuse of a triangle, which has a straight angle of 90 degrees, equals the sum of the squares of the other two sides.
Given:
The measurement of two sides are 20 units and 48 units.
Now, Using Pythagoras theorem
H² = P² + B²
H² = 20² + 48²
H² = 400 + 2304
H² = 2704
H = 52 units.
Hence, lengths of Hypotenuse 52 units.
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Please help me!!!!!!
Answer:
A = 51° b = 15.3858... c = 24.448
Step-by-step explanation:
Given: B= 39°
a = 19
and that it's a right triangle
so that means the other 3rd angle is
A+39+90=180
A= 51°
use SOH CAH TOA to remember how sin cos and tan fit on the triangle
Sin(x)=Opp/Hyp Cos(x)=Adj/Hyp Tan(x)=Opp/Adj
Let's use Tan to find b
Tan(b) = Opp / Adj
Tan(39) = b / 19
19*Tan(39) = b
15.38589... = b
use Pythagoras to find c
c = [tex]\sqrt{a^{2} +b^{2} }[/tex]
c = [tex]\sqrt{19^{2} +15.3858^{2} }[/tex]
c = 24.448....
Martin used 1/3 of his inheritance to pay off the mortgage on his house and 3/5 of what was left to purchase a new automobile. How much was left from his total $30,000 inheritance after these two expenditures
Answer:
12,000
Step-by-step explanation:
Since 1/3 of 30,000 is 10,000, we are left with 20,000. 3/5th of 20,000 is 12,000.
100 points!
Can someone help me? Here are the choices
- associative property of addition
- associative property of multiplication
- commutative property of addition
- commutative property of multiplication
- distributive property
Simplify: 5 + p > 3
A.) p > 8
B.) p -2
9833
Step-by-step explanation:
Adriana bought p packs of baseball cards. There are 4 cards in each pack. Write an expression that shows how many baseball cards Adrian a brought.
9514 1404 393
Answer:
4p
Step-by-step explanation:
Since there are 4 cards in each pack, the number of cards is 4 times the number of packs:
4p . . . . number of cards Adriana bought
7. Slips are drawn form a box containing 100 slips written with numbers 1 to 100. If three slips are
drawn one after the another with replacement, then the probability that first slip bears an even
number, second bears an odd number, third bears a perfect square number, is
a)1/100
b)1/25
c)1/45
d)1/40
Answer:
D
Step-by-step explanation:
We need the numbers of each before we can calculate the probability
Number of even numbers are 50
Number of odd numbers are 50
Number of perfect squares;
1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 , 81 and 100
10 perfect squares
Probability of selecting even = probability of selecting odd = 50/100 = 1/2
Probability of selecting a perfect square = 10/100 = 1/10
Thus, the probability of having the draws in the other stated in the question will be;
1/2 * 1/2 * 1/10 = 1/40
I'm tripped up on this question... Can someone help?
A technician can test video player chips at the rate of -3t^2+16t+5 chips per hour
(for 0 ≤ t ≤ 6), where t is the number. of hours after 9:00am. How many chips can be. tested between 11:00am to 3:00pm? (Assume t=0 for 9:00am)
Show work
Answer:
68 Chips
Step-by-step explanation:
On the picture above, I was confused about t=0 and 9am which one I will put in , but I tried to help you to get the right answer.
How to write an equation in slope-intercept form with a graph
For example:
Answer:
y = - x - 1 is the answer to the graph
there are 7 doctors and 27 nurses happy hill hospital.what is the ratio of doctors to nurses.Need it fast
Answer:
7/27
Step-by-step explanation:
do the doctor over nurses
The slope of the line that passes through (2.4) and (3,8)
Answer:
The slope is 4
Step-by-step explanation:
The slope is given by
m = ( y2-y1)/(x2-x1)
m = ( 8-4)/(3-2)
= 4/1
=4
Please!!!!!! Answer These Plato Composites of Inverse Functions
What is the equation in point−slope form of the line passing through (−2, −5) and (2, 3)?
Answer:
Equation of line passing through ( 2,2) in point slope form is y-2=3 (x-2)
Step-by-step explanation: hop this helps you
Answer:
y=2x-1 is the answer in y=mx+b form.
what is half of half of half of 8?
Answer:
I believe it is 1
Step-by-step explanation:
half of 8 is 4
half of 4 is 2
half of 2 is 1
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
if you were to make a restaurant, and need 29 items, how much of each would you have?
Answer:
3 beverages, 5 appetizers, 8 entrees, and 4 desserts.
Step-by-step explanation:
I think you meant 20 items, so let's do that. To find 15% of 20, we multiply 20 by .15. This gets us 3. We repeat this with all the other numbers, using different decimals, of course. We get 3 beverages, 5 appetizers, 8 entrees, and 4 desserts. 3 + 5 + 8 + 4 is 20, so everything checks out.
Which is a correct first step in solving 5 - 2x < 8x -3?
O5<6x-3
O 3x<8x - 3
O5<10x-3
O2-2x< 8x
Answer: 5 < 10x - 3
Step-by-step explanation:
a-2=7 solve this question please
Answer:
A=9
Step-by-step explanation:
So basically, just think of "what" minus two equals seven. That'd be nine.
You can also look at it like 7 + 2= A
A=9
Mr. Lester's maximum heart rate is 180 beats per minute. When he exercises at the gym.
Mr. Lester's target rate is 60% of his maximum heart rate
Answer: 108
Step-by-step explanation: 60% of 180 is 108
Answer:
Write 60% as a rate per 100. -- 60% = 60/100
Write 60/100 as a decimal. -- 60/100 = 0.6
What is Mr. Lester's target heart rate? -- 0.6 (180) = 108 beats per minute
ILL GIVE BRAINLIEST
5 is 30% of what number
Answer:
16.67 I THINK
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation: