Answers
Answer:
b = 76°
Step-by-step explanation:
Angle JIK is the smaller acute angle in one of four congruent right triangles. Angle GHK is the larger acute angle in those triangles, marked as 60°. The sum of the acute angles in a right triangle is 90°, so you have ...
60° +(b-46)° = 90°
14° +b = 90° . . . . . . . simplify
b = 76° . . . . . . . subtract 14°
Related Questions
Simplify 10^9 ÷ 10^7
Answers
Answer:
10^2
Step-by-step explanation:
10^9/10^7 is the same as 10^9*10^-7 if you multiply two same bases you can add there exponents. So, 9+(-7)=2. So, it’s 10^2
Answer:
100
Step-by-step explanation:
Hope it helps
The half-life of caffeine in a healthy adult is 4.8 hours. Jeremiah drinks 18 ounces of caffeinated
coffee in the morning. How long will it take for only 60% of the caffeine to remain in his body?
Answers
We want to see how long will take a healthy adult to reduce the caffeine in his body to a 60%. We will find that the answer is 3.55 hours.
We know that the half-life of caffeine is 4.8 hours, this means that for a given initial quantity of coffee A, after 4.8 hours that quantity reduces to A/2.
So we can define the proportion of coffee that Jeremiah has in his body as:
P(t) = 1*e^{k*t}
Such that:
P(4.8 h) = 0.5 = 1*e^{k*4.8}
Then, if we apply the natural logarithm we get:
Ln(0.5) = Ln(e^{k*4.8})
Ln(0.5) = k*4.8
Ln(0.5)/4.8 = k = -0.144
Then the equation is:
P(t) = 1*e^{-0.144*t}
Now we want to find the time such that the caffeine in his body is the 60% of what he drank that morning, then we must solve:
P(t) = 0.6 = 1*e^{-0.144*t}
Again, we use the natural logarithm:
Ln(0.6) = Ln(e^{-0.144*t})
Ln(0.6) = -0.144*t
Ln(0.6)/-0.144 = t = 3.55
So after 3.55 hours only the 60% of the coffee that he drank that morning will still be in his body.
If you want to learn more, you can read:
https://brainly.com/question/19599469
The two numbers are in the ratio of 4:5 and the sum of these numbers in981 find the numbers
Answers
Answer:
Step-by-step explanation:
let x be the larger number
x + (4/5)x = 981
(9/5)x = 981
x = 981(5/9)
x = 545
(4/5)(545) = 436
- A small waffle cone has a height of 6 inches and a diameter of 2.5 inches. Two scoops of
sorbet are placed on the wide end of the cone. The scoops are spheres with a diameter
of 2.5 inches. If all the sorbet melts into the cone, will the cone overflow?
Answers
Answer:
NO
Step-by-step explanation:
write an indirect proof that a triangle cannot have 2 right angles
Answers
A driver driving a business trip of 240 miles would have reached his destination if he'd been able to drive 12 mph faster than he made the trip. Find the average speed of his trip.
Answers
The average speed of his trip is = 12 mile/ hour
The total distance covered by the driver = 240 miles
The rate at which he traveled = 12 miles per hour
Therefore, the time he used to cover his distance
= 240/12
= 20 hrs
But average speed = distance/ time
= 240/ 20
= 12 miles/ hour
Therefore, the average speed of his trip is = 12 mile/ hour
Learn more here:
https://brainly.com/question/11753352
A bus company uses a grid to locate bus stops. The bus station is at (3, 4). The point (7, 6) represents the first bus stop. The location of each stop after that is determined using the same relationships as those between the coordinates of the bus station and the first bus stop. A coordinate plane is titled Which point represents the fourth bus stop? A. (11, 8) B. (13, 12) C. (15, 10) D. (19, 12)
Answers
Answer:
D. (19,12)
Step-by-step explanation:
For each bus stop, the X coordinate increases 4, and the Y coordinate increases 2.
Name x y Point
bus station: 3 4 (3,4)
1st bus stop: 7 6 (7,6)
2nd bus stop: 11 8 (11,8)
3rd bus stop: 15 10 (15,10)
4th bus top: 19 12 (19,12)
Answer:
Step-by-step explanation:
19,12
A company that manufactures small canoes has a fixed cost of $24,000. It costs $80 to produce each canoe. The selling price is $160 per canoe. (In solving this exercise, let x represent the number of
canoes produced and sold.)
a. Write the cost function.
C(x) = 150 (Type an expression using x as the variable.)
Answers
Answer:
C(x)=2400 - 80x
Step-by-step explanation:
since 24000 is a fixed cost, lets put it was the y-intercept (the cost when no canoes are produced and sold). next subtract 160 from 80 to get the amount of cost gained for every canoe produced and sold. this value is -80, it is negative since the company is earning a profit for every canoe produced and sold. now you have your equation: C(x) = 2400 - 80x
The sum of two numbers is 65. The larger number is 5 more than the smaller number. What are the numbers?
Answers
Answer:
30 and 35
Step-by-step explanation:
Put this question into equation form:
Let x be the smaller number, if the larger number is 5 more and the total is 65:
x + 5 + x = 65
2x + 5 = 65
Subtract 5 from both sides
2x + 5 - 5 = 65 - 5
2x = 60
Divide both sides by 2:
2x ÷ 2 = 60 ÷ 2
x = 30
As the larger number is 5 bigger:
30 + 5 = 35
So the two numbers are 30 and 35.
Hope this helps!
Answer:
Small number 30
Large Number 35
Step-by-step explanation:
The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:
x + y = 65
The difference between x and y is 5. In other words, x minus y equals 5 and can be written as equation B:
x - y = 5
Now solve equation B for x to get the revised equation B:
x - y = 5
x = 5 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 65
5 + y + y = 65
5 + 2y = 65
2y = 60
y = 30
Now we know y is 30. Which means that we can substitute y for 30 in equation A and solve for x:
x + y = 65
x + 30 = 65
X = 35
Therefore the large and small number us 35 and 30 respectively.
Lord...... Help me god pleas I will be giving u guy's credit.
Answers
Answer:
a. 36
b. 8.5 (8 1/2)
c. 2/5
d. 6
e. 9
f. 8
Step-by-step explanation:
a. 36
b. 8.5 (8 1/2)
c. 2/5
d. 6
e. 9
f. 8
phone company offers to monthly plans. Plan a cost $11 plus an additional $.19 for each minute of calls. Plan B cost $16 plus an additional $.15 for each minute of calls
Answers
Answer:
whats the question I can't help without a question
A shipment contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks. If 7 rocks are selected at random, find the probability that exactly 5 are sedimentary.
Answers
Answer:
75 percent
Step-by-step explanation:
see the thing is
The probability that exactly 5 are sedimentary is from a shipment which contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks is 21/33649.
What is combination?Combination is the way of arrangement or the collection of items in the particular order. The order of this group of items does not matter in the combination type of arrangement.
A shipment contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks. If 7 rocks are selected at random, find the probability that exactly 5 are sedimentary.
Number of ways to choose 5 sedimentary from 7 sedimentary is,
[tex]^7C_5=\dfrac{7!}{(7-5)!5!}\\^7C_5=\dfrac{7\times6\times5!}{2!5!}\\^7C_5=\dfrac{7\times6}{2\times1}\\^7C_5=21[/tex]
There are total 23 rocks (9+7+7). Number of ways to choose 7 rocks from 23 rocks is,
[tex]^{23}C_5=\dfrac{23!}{(23-5)!5!}\\^{23}C_5=\dfrac{23!}{18!5!}\\^{23}C_5=33649[/tex]
Thus, the probability that exactly 5 are sedimentary is,
[tex]P=\dfrac{21}{33649}[/tex]
Hence, the probability that exactly 5 are sedimentary is from a shipment which contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks is 21/33649.
Learn more about the combination here;
https://brainly.com/question/17139330
#SPJ2
Evan swims 321 laps in a month. He swims for 22 days in the month, How
many laps does he swim each day? Write your answer as a mixed number,
14 laps
14 13/22 laps
15 5/22 laps
14 7/22 laps
Answers
Answer:
Step-by-step explanation:
321
What is the answer to
2 3/8 - 1 5/8 =
Answers
Answer:
6/8
Step-by-step explanation:
you have to convert each fraction into an improper. because the denominators are already the same, you dont have to worry. once you have it as an impropper, you can now subtract it. 19/8 - 13/8 = 6/8
reduce if you can
Find the equation of the line passing through the points 7,2 and 9,1
Answers
9514 1404 393
Answer:
y = -1/2x +11/2
Step-by-step explanation:
The slope of the line is ...
m = (y2 -y1)/(x2 -x1)
m = (1 -2)/(9 -7) = -1/2
The y-intercept is ...
b = y -mx
b = 2 -(-1/2)(7) = 11/2
Then the slope-intercept equation is ...
y = -1/2x +11/2
_____
Alternative solution
A general form equation for the line can be ...
(y1 -y2)(x -x1) -(x1 -x2)(y -y1) = 0
(2 -1)(x -7) -(7 -9)(y -2) = 0
x-7 +2y -4 = 0
x +2y -11 = 0 . . . . . general form equation
x +2y = 11 . . . . . . . standard form equation
Note that we want the x-coefficient to be positive, so we chose the order of the points to make that be the case.
Exercise #14: The mile and the kilometer are relatively close in size. Can you convert 1 mile into an equivalent
in kilometers? Here's what I'll give you. There are 2.54 centimeters in an inch, 5,280 feet in a mile, 100
centimeters in a meter, and 1000 meters in a kilometer. All else you should be able to do for yourself. Round
your answer to the nearest tenth of a kilometer. This takes quite a string of multiplications, but you can do it!
Answers
The equivalent of 1 mile to kilometres is approximately 1.6 km.
2.54 cm = 1 inch
5280 ft = 1 mile
100 cm = 1 m
1000 m = 1 km
Using the information let's convert 1 mile to kilometre.
1000 m = 1 km
Therefore,
1 m = 0.000621371 miles
1000 m(1 km) = ?
cross multiply
length = 1000 × 0.000621371 = 0.621371 miles
Therefore,
0.621371 miles = 1 km(1000 m)
1 miles = ?
length in km = 1.60934449789 km
Therefore,
1 miles = 1.6 km
learn more here; https://brainly.com/question/14035504?referrer=searchResults
What is the equation of a line that is parallel to the line 2x + 5y = 10 and passes through the point (–5, 1)? Check all that apply. In addition to the Privileges and Immunities Clause, Article IV, Section 2 includes the
Answers
Hello!
-----------------------------------------------------------------------------------------------------------------
2x+5y=10
We want to turn this equation into y=mx+b form:
5y=-2x+10
Divide both sides by 5:
y=-2/5x+2
Now, the equation of the line parallel to it:
Remember, parallel lines have the same slope.
So these two lines have the same slope (-2/5)
Now, use Point-Slope form:
y-y1=m(x-x1)
y=1=-2/5(x-(-5)
y-1=-2/5(x+5)
y-1=-2/5x-2
y=-2/5x-2+1
y=-2/5-1
Hence, this is the required solution. I hope you find it helpful!
~SparklingFlower
--------------------------------------------------------------------------------------------------------------
Solve 12x- 6y = 18 for y.
Answers
Subtract 12x
-6y = -12x + 18
Divide by -6
Y = 2x - 3
The given equation solved for y as y=2x-3.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 12x-6y=18.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The equation can be solved as follows
6(2x-y)=18
⇒ 2x-y=3
⇒ y=2x-3
Therefore, the given equation solved for y as y=2x-3.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
will give brainliest to whoever helps
Answers
Answer:
x=4y
Step-by-step explanation:
Solving for x means you need to get it in the form x=?.
1. let's isolate the variable.
-2x-7y=y-4x
Add 4x to both sides to isolate:
2x-7y=y
Add 7y to both sides to isolate the x term:
2x=8y
Now we divide both sides by 2 (as we are solving for x):
x=4y
Hope this helps!
How do you round 245.456456 to the nearest hundredth?
Answers
Answer: 245.46
Step-by-step explanation:
Hundredth is the 2nd number after the decimal so in this, it would be 245.456456. I'd assume you already know how to round.
What is the unit rate of km per hour in the example below?
You can walk 7/10 km in 1/4 hours.
Answers
Maybe 28kms in 1 hour
Or 2,8kms because 7/10 is 0,7km
HELP ME OUT PLEASE
A die was rolled six times. The polls were 1,2,3,3,4 and 5. What is the mean deviation for this data!
A) 3/5
B) 1
C) 2
D) 6
Answers
Answer:The mean deviation of the given data is;
Option B: 1
Step-by-step explanation:
Σ(x - x¯)/n
Now, x¯ is the mean = (1 + 2 + 3 + 3 + 4 + 5)/5
x¯ = 3
Thus;
1 - 3 = -2
2 - 3 = -1
3 - 3 = 0
3 - 3 = 0
4 - 3 = 1
5 - 3 = 2
Mean deviation is usually a positive value. Thus;
Σ(x - x¯) = 2 + 1 + 0 + 0 + 1 + 2
Σ(x - x¯) = 6
Thus;
Σ(x - x¯)/n = 6/6
Σ(x - x¯)/n = 1
Write the equation of the line with a slope of 10 that goes through the point (8,-2) in slope intercept and point slope form?
Answers
Answer:
y=10x-2
Step-by-step explanation:
(b) Express the number 17
(i) in base 2
(ii) in base 5
Answers
Answer:
Step-by-step explanation:
IF 17 is in base 10
THEN
17₁₀ = 1 x 10¹ + 7 x 10⁰
10001₂ = 1 x 2⁴ + 0 x 2³ + 0 x 2² + 0 x 2¹ + 1 x 2⁰
32₅ = 3 x 5¹ + 2 x 5⁰
math help please :) thxx
Answers
Answer: 15 inches
Step-by-step explanation:
15 × 1 ÷ 12 = 1.25 ft
1.25 ft = 1.25 × 12 = 15 in
What is 2+100009 it for my homework and I need it done today
Answers
Answer:
100011
Step-by-step explanation:
Rewrite 2/3 and 1/15 as a unit rate
Answers
Answer:
10:1
Step-by-step explanation:
Answer:
Step-by-step explanation:
The unit rate is found by dividing.
2/3 = 0.(6)
1/15 = 0.(6)
plsssss helpppppp i’ll give brainliest
Answers
Answer:
[tex]-6\leq x\leq 6[/tex]
Step-by-step explanation:
This is answer for the last question.
At football practice on Monday, Brandon threw a football into the target 5 times. The next Monday, he tripled the number of targets he hit. On the following Monday, his hits double that of the week before. Write and evaluate a numerical expression to find how many times he hit the target during those three weeks.
Enter the correct answers in the boxes.
Expression:
Answers
Answer:
try using a different app, it helps with all types of mathematical equations
Line a passes through points (3, 1) and (5, 10). Line b is parallel to line a. What is the slope of line b?
Answers
Answer:
9/2
Step-by-step explanation:
Answer:2.8
Step-by-step explanation: casue yeas.