Answer:
1/6
Step-by-step explanation:
sec = 1/cos = [tex]\sqrt{37}[/tex]/6 and cos is adj/hyp so the other side of the triangle is 1 and tan = sin/cos so 1/6
What is true about the slope of two equations that have no solution?
Answer:
slopes are equal
Step-by-step explanation:
If the 2 equations have no solution then the lines are parallel and never intersect.
Parallel lines have equal slopes.
Answer:
according to our rules ,we can find the formula for the slope by talking the first derivative
The Science Club went on a two-day field trip. The first day the members paid $70 for transportation plus $19 per ticket to the planetarium. The second day they paid $100 for transportation plus $16 per ticket to the geology museum. Write an expression to represent the total cost in dollars for two days for the n members of the club.
Answer:
$170 + $35n
Step-by-step explanation:
Given that:
First day:
Transport fare = $70
Fee per ticket = $19
2nd day:
Transport fare = $100
Fee per ticket = $16
Total cost in dollars for the two days for n members
Number of members = n
First day:
70 + 19n
Second day :
100 + 16n
Totak cost :
(70 + 19n) + (100 + 16n)
70 + 100 + 19n + 16n
170 + 35n
$170 + $35n
In the interval,
[0,2), what are the solutionms of the equation sin x =-1/2?
Answer:
Step-by-step explanation:
A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing 119 pounds requires 136 milligrams of medicine
What is the weight of a patient who requires 200 milligrams of medicine?
Answer:
228.571428 or estimate it down
Step-by-step explanation:
136 ÷ 119 = 1.14285714
1.14285714 x 200 = 228.571428
The weight of the patient who required 200 mg of medicine is 175 pounds.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x = 5 is an equation.
We have,
Amount of medicine = Patient's body weight.
136 mg = 119 pounds
Multiply 200/136 on both sides.
200 mg = 200/136 x 119 pounds
200 mg = 175 pounds
Thus,
The weight of the patient who required 200 mg of medicine is 175 pounds.
Learn more about equations here:
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Martin works at Bluebell Ice Cream Parlor. He earns $87.50 for every 7 hours of work. Based on this information how much money would Martin earn for 28 hours of work?
Answer:
$350
Step-by-step explanation:
7x4=28 so you multiply 87.50x4 to get 350
Which relations are functions?
Select Function or Not a function for each graph.
V = √ 20 L to estimate the speed of a car, v , in miles per hour, based on the length, L , in feet, of its skid marks when suddenly braking on a dry, asphalt road. At the scene of an accident, a police officer measures a car's skid marks to be 108 feet long. Approximately how fast was the car traveling? Round your answer to the nearest tenth (one decimal place) of a unit.
Answer:
46.5 miles per hour
Step-by-step explanation:
Given that :
Speed of A car v in miles per hour based on length L in feets ;
V = √(20L)
Skid mark (L) = 108 feets
V = √(20 * 108)
V = √2160
V = 46.475800 miles per hour
V = 46.5 mph
[tex]\frac{a}{5}[/tex] + 3=8
Question 12(Multiple Choice Worth 3 points)
(02.04 MC)
Which of the following statements describes an interaction between the atmosphere and biosphere?
Water and its vapor move through air.
Earth's internal heat warms the layer of air around it.
Oceans provide an environment for sustaining marine life.
Life is possible on Earth due to layers of air that surround it.
Answer:
life is possible on earth due to layers of air that surround it
Which side lengths form a right triangle?
Choose all answers that apply.
A. square root of 2, square root of 3, square root of 4
B. square root of 8, 3, square root of 17
C. 5, 6, 8
Answer: choice B
Explanation: Go through each answer choice and try the Pythagorean theorem to see if it works. This is because a right triangle’s side lengths are described by the Pythagorean theorem. one side^2 + second side^2 = longest side^2. In a right triangle, this equation will be true. Let me show you what I mean
For answer choice A:
(root 2)^2 + (root 3)^2 = (root 4)^2
2 + 3 = 4
5 = 4
5 does not equal 4. Therefore it cannot be A.
For answer choice B:
(root 8)^2 + (3)^2 = (root 17)^2
8 + 9 = 17
17 = 17
this is true! therefore this is a right triangle and it’s B
Dimensions √17, 3, and √8 are the dimension of the right triangle. Thus, the correct option is B.
What is a Pythagoras theorem?If the dimension satisfies the Pythagorean equation, then the triangle is a right-angle triangle.
The Pythagoras theorem states that the sum of two squares equals the squared of the longest side. The Pythagoras theorem formula is given as,
H² = P² + B²
Let's check the second option, then we have
(√17)² = 3² + (√8)²
17 = 9 + 8
17 = 17
Thus, the correct option is B.
More about the Pythagoras theorem link is given below.
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HELP TIMED QUESTION !!!!
Simplify (5x^3y)^2(-2x^5y^1)
Answer:
( -5•2x8y)
Step-by-step explanation:
Changes made to your input should not affect the solution:
(1): "^-1" was replaced by "^(-1)".
Equation at the end of step 1
((5•(x3))•(y2))•(0-(2x5•y(-1)))
Equation at the end of step
(5x3 • y2) • -2x5y(-1)
Multiplying exponential expressions :
3.1 x3 multiplied by x5 = x(3 + 5) = x8
Multiplying exponential expressions :
3.2 y2 multiplied by y(-1) = y(2 + (-1)) = y1 = y
Answer:
60xy
Step-by-step explanation:
Evaluate : (5x+3y)2 = 25x2+30xy+9y2
Evaluate : (5x-3y)2 = 25x2-30xy+9y2
.....................
Answer:
...?
Step-by-step explanation:
What is the solution to the equation 4x plus 2(x-3) equals 3x plus x minus 12
Answer:
[tex]\huge\boxed{x=-3}[/tex]
Step-by-step explanation:
[tex]4x+2(x-3)=3x+x-12\qquad|\text{use the distributive property}\\\\4x+(2)(x)+(2)(-3)=3x+x-12\\\\4x+2x-6=3x+x-12\qquad|\text{combine like terms}\\\\(4x+2x)-6=(3x+x)-12\\\\6x-6=4x-12\qquad|\text{add 6 to both sides}\\\\6x-6+6=4x-12+6\\\\6x=4x-6\qquad|\text{subtract}\ 4x\ \text{from both sides}\\\\6x-4x=4x-4x-6\\\\2x=-6\qquad|\text{divide both sides by 2}\\\\\dfrac{2x}{2}=\dfrac{-6}{2}\\\\x=-3[/tex]
Factor the following expression 2x^2 - 11x+12
Answer:
(2x-3)(x-4)
Step-by-step explanation:
On a bicycle trail, the city is painting arrows like the one shown below: Upper pointing arrow with height of 15 and length of 13. Rectangular base of arrow has length of 11 and height of 12. All units are in centimeters. Calculate the area of the arrow by decomposing it into rectangles and triangles.
Answer:
229.5[tex]cm^{2}[/tex]
Step-by-step explanation:
In order to calculate the area of the arrow we need to calculate the area of the body of the arrow, and then the head of the arrow. The body of the arrow is a rectangle meaning that the area (Ar) can be calculated by multiplying the length by the height like so...
Ar = l * h
Ar = 11cm * 12cm
Ar = 132 [tex]cm^{2}[/tex]
Now we need to find the area of the head of the arrow, which is a triangle and therefore we can use the formula for the area of a triangle (At) which is height times base divided by 2...
At = [tex]\frac{h * b}{2}[/tex]
At = [tex]\frac{15cm * 13cm}{2}[/tex]
At = [tex]\frac{195cm^{2} }{2}[/tex]
At = 97.5[tex]cm^{2}[/tex]
Now we simply add both areas together to calculate the total area of the arrow...
132[tex]cm^{2}[/tex] + 97.5[tex]cm^{2}[/tex] = 229.5[tex]cm^{2}[/tex]
168 plese give me brainlyest
Find the next three terms:
5, 8, 11, 14...
Answer:
next 3 terms are 17,20,23
Step-by-step explanation:
to get from 5 to 8 you add 3
14+3=17
17+3=20
20+3=23
Answer:
17, 20, 23
Step-by-step explanation:
The pattern is that 3 is added every time.
5 + 3 = 8, 8 + 3 = 11, 11 + 3 = 14.
That means that the next terms will be
14 + 3 = 17
17 + 3 = 20
20 + 3 = 23
3 (5р — 3) = 5 (p — 1)
SOPHIE gave 45% of her pocket money to AMELIE. SOPHIE now has £6.60. How much did SOPHIE have to begin with?
Answer:
£12
Step-by-step explanation:
To find the original amount, divide 6.60 by 0.55:
6.60/0.55
= 12
So, Sophie had £12 to begin with
3. Which is an estimate of the square root of 15 to the nearest tent
3.9
1.5
3.8
4.1
Answer:
1.5
Step-by-step explanation:
Here is a list of ages (years) of children in a room:
8, 8, 5, 1, 2, 5, 4
State the median.
Answer:
5
Step-by-step explanation:
The median is the middle number when they are put in order from smallest to largest
1,2,4,5,5,8,8
There are 7 number so the middle is between 4th number
1,2,4 ,5 ,5,8,8
The median is 5
[tex]\sf Answer: [/tex]
[tex]\sf 5 [/tex]
[tex]\sf Step-by-step~explanation: [/tex]
[tex]\sf List~the~numbers~in~order,~from~least~to~greatest. [/tex]
[tex]\sf 1 2 4 5 5 8 8 [/tex]
[tex][The~middle~number~is~5,~so~the~answer~is~going~to~be~5.[/tex] [tex]This~is~because~a~median~is~the~number~in~the~middle.[/tex] [tex]''~The~median~is~the~middle~number~in~a~sorted,~ascending~or~descending,~[/tex] [tex]list~of~numbers~and~can~be~more~descriptive~of~that~data~set~than~the~average~'' ][/tex]
solve What is 13.789 rounded to the nearest tenth?
Answer:
13.8
Step-by-step explanation:
8 is greater than 4 so you round up and get 13.8
what is 8 × 1 + 3 × 0.1 + 9 × 0.01 in standard form
Answer:
0.216
Step-by-step explanation:
[tex]8 \times 1 \times 3 \times 0.1 \times 9 \times 0.01\\\\=(8\times1)(3\times0.1)(9\times0.01)\\\\=8(0.3)(0.09)\\\\=(8\times0.3)(0.09)\\\\=(2.4)(0.09)\\\\=2.4\times0.09\\\\=0.216[/tex]
is this the standard form?
need help asap!!!!!!!
Answer:
cant see it do a better job at taking pitchers i will help you but i cant so c its a bad pitcher and yeah bye hope you have a good day
Step-by-step explanation:
Plsssss help!!!!!!!!
Answer:
n=6t
Step-by-step explanation:
6 cars parked per hour
t is the hours
6 is the slope
y=mx+b
n=6t
Hope this helps.
Damon drank 2 3 liter of water Monday before going jogging. He drank 3 7 liter of water after his jog. How much water did Damon drink altogether? Write your answer as a mixed number. Solve this problem on paper. Then, check your answer on Zearn. Damon drank liters of water altogether.
Answer:
1 2/21 liters
Step-by-step explanation:
Damon drank 2/3 liter of water Monday before going jogging. He drank 3/7 liter of water after his jog. How much water did Damon drink altogether?
Volume of water Damon drank before jogging = 2/3 liters
Volume of water Damon drank after jogging = 3/7 liters
Total volume of water Damon drank altogether = 2/3 liters + 3/7 liters
= 2/3 + 3/7
= 14+9/21
= 23/21
= 1 2/21
Total volume of water Damon drank altogether = 1 2/21 liters
Parkside High School was having a talent show to raise money. It was x dollars for adults and $8 for students. Stephanie's family had 4 adults and 1 student. Her family paid $48 to see the show. Write an equation for the word problem. Use the variable x and leave no spaces.
Answer:
[tex]x = 10[/tex]
Step-by-step explanation:
Given
$x per adult
$8 per student
Population:
[tex]Students = 1[/tex]
[tex]Adults = 4[/tex]
[tex]Total = \$48[/tex]
Required
Determine the equation and solve for x
The system can be analyzed as thus:
The cost for 4 adults is: 4 * x
The cost for 1 students is: 8 * 1
Total Amount is: 48
From the analysis above, the equation is:
[tex]4 * x + 8 * 1 = 48[/tex]
[tex]4 x + 8 = 48[/tex]
Subtract 8 from both sides
[tex]4 x + 8 -8= 48 - 8[/tex]
[tex]4 x= 40[/tex]
Solve for x
[tex]x = 40/4[/tex]
[tex]x = 10[/tex]
6th grade math i mark as brainliest
Answer:
the answer is 8 bro
Step-by-step explanation:
4 to the power of 2 = 4 x 2 = 8
Answer
that is a hard one
Step-by-step explanation:
[205.8-[4^(2)]+5]*4= 779.2
for the first one
Richard and Linda enjoy visiting Hilton Head Island, South
Carolina. The distance from their home to Hilton Head is
975 mi, so the drive takes them 2 days. Richard and Linda
travel twice as far the first day as they do the second day.
How many miles do they travel each day?
Answer:
first day: 650, second day: 325
Step-by-step explanation:
Let x be the number of miles travelled on the second day and 2x the number of miles travelled on the first day. They add up to 975.
2x+x=975
3x=975
x=325
x represents the number of miles travelled on the second day so they travelled 650 miles on the first day and 325 miles on the second day.
Answer:
650 miles the first day, 325 miles the second day
Step-by-step explanation:
We can call the distance they traveled on the first day as 2x and the distance they traveled on the second day as x. The former is 2x because they traveled twice as far the first day compared to the second day. Since the total distance traveled is 975 miles, we can write the following equation to solve for x:
[tex]2x + x = 975[/tex]
[tex]3x = 975[/tex] (Simplify LHS; 2x + x = 3x)
[tex]\frac{3x}{3}=\frac{975}{3}[/tex] (Divide both sides of the equation by 3 to get rid of the coefficient on x)
[tex]x = 325[/tex] (Simplify)
Therefore, [tex]2x = 2 * x = 2 * 325 = 650[/tex] so the final answer is they traveled 650 miles the first day and 325 miles the second day. Hope this helps!
[tex]y \times 3 = 27 \times 10[/tex]
help pls ill mark u brainliest :(
Answer:
edfghjkoijuhgyfdsdfghjkl
Step-by-step explanation: