Answer: B. The test contains 10 three-point questions and 14 five-point questions
Step-by-step explanation:
14 * 5 = 70
10 * 3 = 30
70 + 30 = 100
14 + 10 = 24
Answer:
y=14
x=10
Step-by-step explanation:
x+y=24
3x+5y = 100
multiply the first equation by 3 and subtract from second one :
3x+3y=72
-
3x+5y=100
equal : -2y=-28
y=14
x=10
In ΔABC, ∠B measures 35° and the values of a and b are 19 and 11, respectively. Find the remaining measurements of the triangle, and round your answers to the nearest tenth. ∠A = 82.2°,∠C = 62.8°, c = 17.1 ∠A = 82.2°, ∠C = 62.8°, c = 12.4 ∠A = 22.5°, ∠C = 25.5°, c = 12.4 ∠A = 22.5°, ∠C = 25.5°, c = 17.1
Answer:
(A)∠A = 82.2°,∠C = 62.8°, c = 17.1
Step-by-step explanation:
In Triangle ABC
∠B=35°
a=19
b=11
Using Law of SInes
[tex]\dfrac{a}{\sin A} =\dfrac{b}{\sin B} \\\dfrac{19}{\sin A} =\dfrac{11}{\sin 35^\circ} \\11*\sin A=19*\sin 35^\circ\\\sin A=(19*\sin 35^\circ) \div 11\\A= \arcsin [(19*\sin 35^\circ) \div 11]\\A=82.2^\circ[/tex]
Now:
[tex]\angle A+\angle B+\angle C=180^\circ\\35^\circ+82.2^\circ+\angle C=180^\circ\\\angle C=180^\circ-[35^\circ+82.2^\circ]\\\angle C=62.8^\circ[/tex]
Using Law of Sines
[tex]\dfrac{c}{\sin C} =\dfrac{a}{\sin A} \\\dfrac{c}{\sin 62.8^\circ} =\dfrac{19}{\sin 82.2^\circ}\\c=\dfrac{19}{\sin 82.2^\circ}*\sin 62.8^\circ\\\\c=17.1[/tex]
Therefore:
∠A = 82.2°,∠C = 62.8°, c = 17.1
The correct option is A.
Answer:
it is a
∠A = 82.2°,∠C = 62.8°, c = 17.1
Step-by-step explanation:
give the other dude brainliest he is correct
Which ordered pair is a solution of the equation? 5x+12y=60
(0,5)
2, 25/6
both
or neither
Answer:
both
Step-by-step explanation:
you can solve this problem with substitution:
5(0) + 12(5) = 60
0 + 60 = 60 is true, therefore the first ordered pair is a solution
the second ordered pair is:
2, 25/6
therefore:
5(2) + 12(25/6) = 60
10 + 50 = 60
10 + 50 = 60 is true, therefore the second ordered pair is also a solution.
in conclusion, both of the ordered pairs are solutions.
If the first three Fibonacci numbers are x1 = 1, x2 = 1, x3 = 2, what is the value of n for which xn + xn+1 + xn+2= 68?
Answer:
13, 21, and 34
Step-by-step explanation:
x(n) + x(n+1) + x(n+2)= 68
x(n), x(n+1), and x(n+2) are three consecutive Fibonacci numbers.
=> (x) + (x+k) + (x+x+k)=68
(x is a Fibonacci number and k is a positive integer)
=> 4x + 2k = 68
=> 2x + k = 34
=> x < 17
Check two Fibonacci numbers that are closest to 17 and smaller than 17.
x(n)=8 => x(n+1)=13, x(n+2)= 21
=>x(n) + x(n+1) + x(n+2)= 8 + 13 + 21 = 42 (not valid)
x(n) = 13 => x(n+1) = 21, x(n+2)= 34
=> x(n) + x(n+1) + x(n+2)= 13 + 21 + 34 = 68 (valid)
Hope this helps!
Joan draws a bar chart to show the temperatures at midday
on March 1st in five cities.
Joan has made four mistakes
in her diagram
Answer:
See Explanation
Step-by-step explanation:
The answers are in the attachment already; I guess you need an explanation.
For the first answer
- The bars of Paris, Oslo and Munich are not properly drawn.
This is so because distance between the bats of a bar chart is expected to be the same between all bars.
From the attachment above, it doesn't look so because the bats of these three cities are out of position.
In other words, the vertical lines of the bars must align with the vertical lines of the grid in the graph.
- The Temperature in the y axis doesn't start with 0
When plotting a graph, the origin must be 0 but in the attachment above, Joan used an origin of 2, which is totally incorrect.
- In Munich, the bar graph for x axis is taken more than 1 unit.
The bars of the bar graph should maintain a constant width but from the attachment above, the width of the bar is wider than the width of other bars
Identify whether the relationship between ∠a and ∠b in the image below is complementary, linear pair/supplementary, or vertical.
Answer:
see below
Step-by-step explanation:
Because there is the right angle symbol on the chart these angles are complementary meaning thety have a sum of 90°.
Find the surface area of the polyhedra
pls!! show how you got the surface area
Answer:
The surface area of the lower rectangle is 20cm x 4cm= 80 square cm
the surface area of the two triangles is 12 square centimetres
the surface area of one of the top rectangular faces is 20×5= 100 square centimetres
the surface area of the other is 20×3= 60 square centimetres
80+12+60+100=252 square centimetres is the surface area of the polyhydron
can you please help me with functions
Option D is the right answer
(-1,4),(1,7),(2,10)
It is a function because input X values have its unique output y values.
hope it helps
Good luck on your assignment
Which words or variables mean OUTPUT? Select all possible answers. help me out
a. domain
b .range
c .x
d .y
e. f(x)
Last week, Jason ran 26.1 miles. He wants to run further this week. He plans to run 2.4 miles to the park, four times around the park, and 2.4 miles back from the park. To represent that inequality, he wrote: 2.4 + 4p + 2.4 ___ 26.1 Which inequality symbol should he use? Why?
Answer:
Greater than (>)
Step-by-step explanation:
Last week, Jason ran 26.1 miles.
He wants to run further this week.
Distance Run this week
2.4 miles to the park, Four times around the park= 4p (if distance around the park is p miles) 2.4 miles back from the park.Total Distance this week =2.4+4p+2.4
Since his distance this week is going to be greater than the total distance covered last week (26.1 miles), we then have:
Total Distance covered this week > Total Distance Last week
[tex]2.4+4p+2.4>26.1[/tex]
Jason should use the greater than inequality sign.
Answer:
He should use the greater than symbol, >. He would not beat his distance if he only ran 26.1 miles, so the greater than or equal to symbol would not be correct.
Step-by-step explanation:
pleaseeeeee right answer struggling
The right answer is of:
option C
please see the attached picture....
Hope it helps.....
Good luck on your assignment.....
One ounce of cheddar cheese contains 9 grams of fat. Six of the grams of fat are saturated fats. Find the ratio of saturated fats to total fat in an ounce of cheese.
Group of answer choices
6:9
2:3
3:2
9:6
Answer: 6:9
Just divide saturatedfats/TotalFats=6/9
Step-by-step explanation:
The Nth term of a sequence is 3n^2/2
a) what is the second term of the sequence?
b) what is the fifth term sequence?
c) which term in the sequence is the first to have a value higher than 50?
Please help
The second and fifth term for the given sequence are 6 and 48 respectively and a₆ > 50.
What is an inequality expression?An inequality expression refers to the relation between an algebraic expression to some known value that contains inequality sign. Unlike an equation it can have a range of values inside an interval.
The given problem can be solved as,
(a) The nth term of the sequence is given as aₙ = 3n²/2
Then, substitute n = 2 to get second term as below,
a₂ = (3 × 2²)/2 = 6
(b) The fifth term is obtained as,
a₅ = (3 × 2⁵)/2 = 48.
(c) The inequality expression for the given case can be written as,
3n²/2 > 50
⇒ 3n² > 100
⇒ n² > 33.33
This is possible only for n = 6.
Hence, the second and fifth terms are 6 and 48 respectively. And, the 6th term will be the first to be greater than 50.
To know more about inequality expression click on,
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WILL GIVE BRAINLIEST What are the like terms in the algebraic expression? Negative a squared b + 6 a b minus 8 + 5 a squared b minus 6 a minus b Negative a squared b and negative 6 a Negative a squared b and 5 a squared b 6 a b and 5 a squared b 6 a b and negative 6 a
Answer: B
Negative a squared b and 5 a squared b
Step-by-step explanation:
Given that:
Negative a squared b + 6 a b minus 8 + 5 a squared b minus 6 a minus b. That is,
- a^2b + 6ab - 8 + 5a^b - 6a - b
Collecting the like term by rearranging the expression
5a^2b - a^2b + 6ab - 6a - b
The like terms in the expression above are
5a^2b - a^2b.
The correct option is B:
Negative a squared b and 5 a squared b or (-a^2b and 5a^b)
Answer:
B
Step-by-step explanation:
Negative a squared b and 5 a squared b
Step-by-step explanation:
Given that:
Negative a squared b + 6 a b minus 8 + 5 a squared b minus 6 a minus b. That is,
- a^2b + 6ab - 8 + 5a^b - 6a - b
Collecting the like term by rearranging the expression
5a^2b - a^2b + 6ab - 6a - b
The like terms in the expression above are
5a^2b - a^2b.
The correct option is B:
Negative a squared b and 5 a squared b or (-a^2b and 5a^b)
Please help me and explain your answer
Thank you!
Answer:
The bottom right
Step-by-step explanation:
switch the x and y and solve for y again
y=p2 +gr
Find y when p=-5, q=3 and r=-7.
Write p in terms of q, r and y.
Answer:
4
p= √(y-qr)
Step-by-step explanation:
y=p² +qr
p= -5, q=3, r= -7
y= (-5)²+3*(-7)= 25- 21=4p²= y - qr
p= √(y-qr)
I hate math bro please help me ill mark u brainliest
1 Point
Which of the following is a disadvantage of speaking your ideas rather than
writing them?
O
A. You are not able to express your emotions as easily.
B. You will not be able to correct spelling errors.
C. You cannot be casual and spontaneous when speaking,
D. You cannot plan ahead and organize your thoughts.
SUBMIT
Answer:
D.
Step-by-step explanation:
You cannot plan your thoughts if you are just thinking out loud.
What is the product of 5.86 × 10–7 and 3.1 × 104 1. Write the expression: (5.86 × 10–7)(3.1 × 104) 2. Rearrange the expression: (5.86 × 3.1)(10–7 ∙ 104) 3. Multiply the coefficients: (18.166)(10–7 ∙ 104) 4. Apply the product of powers: 18.166 × 10-3 5. Write in scientific notation: 1.8166 × 10n What is the value of n in the scientific notation of the product? n =
The product of the given values in scientific notation would be = 1.8166× 10-2.
What is scientific notation?Scientific notation is a method that is used in arithmetics to represent numbers and figures that are too large or too small and usually raised to power of 10.
The values that are given for multiplication is as follows;
5.86 × 10–7 × 3.1 × 104
First rearrange the expressions;
(5.86 × 3.1)(10–7 ×10⁴)
The multiple the coefficients;
(18.166)(10–7 ∙ 104)
The apply the product of power by addition of the powers;
18.166 × 10-3
The scientific notation representation of the product = 1.8166× 10-2
Learn more about scientific notation here:
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anyone know the answer ? :(
The smallest x value allowed is x = 0, as shown as the leftmost point on the graph at (0,0).
The largest x value allowed is x = 11 because of the right-most point (11,100).
The domain is the set of any real number between those endpoints. We can pick any fractional or decimal number in this interval since time can be subdivided however you want, so the set of integers isn't enough.
Solve the inequality
t/4>7
Answer:
t>28
hope this helps!
Step-by-step explanation:
t÷4 > 7
t÷4 (×4) > 7 (×4)
t > 28
5 Write the first five terms of the sequence with nth term.
a 4n
b 2n+1
c 3n -2
d 1/2n +1
e 20 -5n
f -2n +3
Answer:
its a lot u'll see at the end
Step-by-step explanation:
a) 4n = 4,8,12,16,20
b) 2n+1= 3,5,7,9,11
c) 3n-2= 1,4,7,10,13
d) 1÷2n+1= [tex]\frac{3}{2}[/tex], [tex]\frac{5}{4} ,\frac{7}{6} ,\frac{9}{8} ,\frac{11}{10} ,[/tex]
e) 20-5n= 15,10,5,0,-5
f) -2n+3= 1,-1,-3,-5,-7
took me a while hope it is helpful
Which ratios is equivalent to 12 over 2 ?
Answer: 12:2, 6:1, 24:4
Step-by-step explanation:
The base of this solid crate has an area of 6 square meters. The height of the crate is 4 meters. What is the volume of the crate?
Answer: 24 m^3
Step-by-step explanation:
Given that you have a base with an area of 6 square meters, it has already calculated the product of length and width. In the Volume Formula Length x Width x Height, you're pretty much multiplying that given area by a height of 4, since you already have that length and width in the form of 6 square meters. The result you'll have is 24 Meters Cubed.
Jamie knows the lengths of 2 sides of a triangle are 8
and 12. Use the Triangle Inequality Theorem to determine
the possible values for the length of the third side of Jamie's
triangle.
[tex]answer \\ 4 < s < 20 \\ solution \\ 12 - 8 < s < 12 + 8 \\ = 4 < s < 20 \\ hope \: it \: helps[/tex]
A brick weighs w kg. Write an expression for the weight of 12 bricks.
What is the probability of Sunday following Saturday this week?
Answer:
certain
Step-by-step explanation:
the probability called certain means that is will occur or it's probability is 1
Answer:
Certain or 1/1 - 2/2 - 3/3 - 4/4 ect.
Step-by-step explanation:
Unless the world ends on Saturday (which is looking more and more certain as the year goes on) Sunday will follow after it the next day.
Which graph shows the axis of symmetry for the function f(x) = (x – 2)2 + 1?
Answer:
B - The correct answer is graph B
Step-by-step explanation:
Answer:
the correct choice is graph B. (see attachment below)
Find a value for Ф in radians between 2π² if sin(Ф) = -1/2 and cos(Ф) = √3/2 (Unit Circle)
Answer:
This is the angle in the angle in the fourth quadrant that verifies the given conditions:
[tex]\phi =\frac{11\, \pi}{6} \\[/tex]
Step-by-step explanation:
Notice that in the unit circle, if sin of the angle is negative, and cos of the same angle is positive, we are in the fourth quadrant.
Also, the angle that renders
[tex]sin(\phi)=-\frac{1}{2}[/tex]
in the fourth quadrant, is [tex]\phi =\frac{11\, \pi}{6} \\[/tex]
for such angle, also :
[tex]cos(11 \pi/6)=\frac{\sqrt{3}}2}[/tex]
which verifies the second condition.
PLEASE HELP ME ITS VERY URGENT
Answer:
s=4.75
Step-by-step explanation:
plug the letters in the formula
ut+1/2at^2
10×0.5+-2×0.5^2
which expression is equivalent to 4(5x+3y)?
Just number 4
Answer:
Answer choice 4
Step-by-step explanation:
4(5x+3y)
By distributive property, this can be rewritten as:
4(5x)+4(3y)=
20x+12y
or answer choice 4. Hope this helps!
Answer:
4) 20x+12y
Step-by-step explanation:
You have to use distivtive property
I hope this helps