Answer:
20
Step-by-step explanation:
Area of Triangle = 1/2b*h
Area of Triangle = 1/2*4 2/3*8 4/7
Area of Triangle = 20
Anthony gets paid semiannually. His semiannual salary is $67,000. What is his annual salary?
Semiannually means twice a year, so you multiple $67,000 by 2.
Anthony gets paid $1.34*10^5 per yearThe annual salary is $134000
Step-by-step explanation:Semiannual is a term that describes something that is paid twice each year, typically once every six months.
Since semiannually salary is $67,000 so the annual salary will be
$67,000 x 2 = $134000
the rectangular prism with volume 120 cm3, width 5 cm, and height 3 cm. what is the length?
Answer:
8
Step-by-step explanation:
what I did was that first I multiplied 5 and 3.
So that will give you 15.
Then I divided 120 and 15.
Leading to the answer 8.
What is the equivalent decimal?
Drag the answer into the box to match the fraction.
6/11 >>>>>>>>>
__
0.12
__
0.27
0.54
__
0.54
Answer:
.54 repeating
(.54 with a bar over the 54)
Step-by-step explanation:
6/11 means 6÷11. That is .545454545454 ...
You would write this as .54 with a bar over the 54.
Which expression represents the product of three consecutive odd integers?
A.
x( x+1)( x+2 )
B.
x( x+1)( x+3 )
C.
( x−1)( x )( x+1)
D.
( x−2 )( x )( x+2 )
The correct answer is (D).
Use a special right triangle to find the tangent of 30∘
Tan 30*= ?
Concept is trigonometry. The tangent of 30° is √3.
Explanation:To find the tangent of 30°, we can use a special right triangle. One type of special right triangle is a 30-60-90 triangle. In this triangle, the ratio of the lengths of the sides opposite the angles are 1:√3:2.
Since we want to find the tangent of 30°, which is the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle, we can set up the equation:
tan 30° = opposite/adjacent = (√3)/1 = √3
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Use the quadratic formula to solve the equation if necessary round to the nearest hundredth x^2+x-30=8
Answer:
5.68 and -6.68
Step-by-step explanation:
Use the quadratic formula.
x = (-b+-sqrt(b^2-4ac))/2a
Now let's find the values of a b and c.
Use the standard form of the quadratic equation.
ax^2+bx+c = 0
Using this we can find the values of a b and c.
a = 1
b = 1
c = -30-8
c = -38
Now plug in the values.
We get,
(-1+-3sqrt(17))/2
Which rounded to the nearest hundredth is about,
5.68 and -6.68
Answer:
-6.18
Step-by-step explanation:
First we need to get this into an equation form that will allow us to factor it.
x^2+cx+c
Make one side of the equation equal to zero.
x^2+x-30=8
-8 -8
x^2+x-38=0
We can't use the zero product property because it is impossible to multiply numbers to get -38 and the same numbers at to 1. Therefore, let's use the quadratic formula. y=-b√b^2-4(a)(c) /2a
Then, identify your a, b and c. A=your squared number, B= your number neing multiplied by a varable (1x or x), and C is your whole number.
a=1
b=1
c=-38
y=-1√1^2-4(1)(-38) /2(1)
Simplify
y=-1√1+152 /2
y=-1√153 /2
y=-3√17/2
Decimal form: −6.18465843
About -6.18 is your answer.
Hope I helped!
HELP ASAP!! GIVING BRAINLIEST!
What are the steps for constructing an inscribed circle in angle ABC using only a compass and a straightedge?
Answer:
Step-by-step explanation:
use the compass and find the midpoints of each side of the triangle. the use the ruler and find the radius and connect it to the vertex ISO - trigonometric diameter. Mark the angles as 90 deg corresponding to the rays formed by the radii. simple :)
Answer: PLATO ANSWER
Step-by-step explanation:
Step 1: Place the compass needle on vertex A, adjust the width of the compass to a medium setting, and draw one arc on line segment AB and one on line segment AC.
Step 2: Place the compass needle on the point where the arc intersects line segment AB and draw an arc inside the triangle. Without changing the compass setting, place the compass needle on the point where the arc intersects line segment AC; draw another arc intersecting the arc already inside the triangle. Label the point of intersection P.
Step 3: Draw line segment AP. This is the angle bisector of angle A.
Step 4: Place the compass needle on vertex C, adjust its width to a medium setting, and draw arcs intersecting line segment BC and line segment AC.
Step 5: Place the compass needle on the point where the arc intersects line segment BC, and draw an arc inside the triangle. Without changing its setting, place the compass on the point where the arc intersects line segment AC; draw another arc intersecting the arc already inside the triangle. Label the point of intersection Q.
Step 6: Draw line segment CQ. This is the angle bisector of angle C.
Step 7: Label the intersection of the angle bisectors M. This is the center of the inscribed circle.
Step 8: Place the compass needle on M, and draw two arcs on line segment BC.
Step 9: Place the compass needle on one of the points where an arc intersects line segment BC, and draw an arc outside the triangle; repeat from the point where the other arc intersects line segment BC to create two intersecting arcs outside the triangle. Draw a line from M passing through the point of intersection outside the triangle. This is a perpendicular line from M to line segment BC. Mark the point where the line intersects line segment BC, and label it N.
Step 10: Place the compass needle on M, set its width to N, and draw a circle. This is the inscribed circle of triangle ABC.
Let x = wavelength and y = frequency. The equation that models the inverse relation is
Answer:
y = (3 × 10^8 m/s)/x
Step-by-step explanation:
Speed of a wave is given by the product of wavelength and frequency.
Thus; speed = frequency × wavelength
If x = wavelength and y = frequency then speed will be;
speed = yx
Thus to get wavelength, y;
y = speed/x , but speed is 3 × 10^8 m/s
Thus;
y = (3 × 10^8 m/s)/x
Answer:
The Answer is D y= x/3x10squareroot8 m/s
Because its right on edg
use the elimination method to solve the system of equations. choose the correct ordered pair. 3x + 6y = 36 and 3x - 6y = 0
3x + 6y = 36
+ 3x - 6y =0
------------------------
6x = 36
x = 36/6
x = 6
3(6) - 6y = 0
18 - 6y = 0
-6y = -18
y = 3
Answer:
Solution (6 ,3).
Step-by-step explanation:
Given : 3x + 6y = 36 and 3x - 6y = 0
To find : use the elimination method to solve the system of equations.
Solution : We have given
3x + 6y = 36 ------(1)
3x - 6y = 0------(2)
_______________ (On adding both equations)
6x + 0 = 36 .
On dividng both sides by 6
x = 6.
On plug x = 6 in equation 1
3 ( 6) + 6y = 36.
18 + 6y = 36 .
On subtracting both sides by 18
6y = 36 - 18.
6y = 18
On dividing both sides by 6
y = 3
Solution (6 ,3)
Therefore, Solution (6 ,3).
6(7−3y)+6(y+1) please help
Answer: 4=y
Step-by-step explanation:
6(7 -3y)+6(y+1)
42-18y+6y+6
48-12y
48/12=4
12y/12=y
4=y
The student's algebraic expression simplifies to 48 - 12y.
The question involves simplifying an algebraic expression. Let's solve it step by step:
Distribute the 6 to each term inside the first parentheses: 6(7) / (- 6(3y)).
Do the same for the second parentheses: 6(y) + 6(1).
Combine like terms by adding or subtracting the coefficients.
Let's simplify the expression now:
6(7) - 6(3y) + 6(y) + 6(1).
42 - 18y + 6y + 6.
Combine the terms with y: -18y + 6y = -12y.
The final simplified expression is 42 - 12y + 6.
Combine the constant terms: 42 + 6 = 48.
The final answer is 48 - 12y.
What are the roots of x2 + 10x + 29 = 0?
A. 5 ± 2i
B. -5 ± 2i
C. 10 + 4i
D. -10 + 4i
Answer:
B
Step-by-step explanation:
okay so x^2+10x+29=0
subtract 29 from both sides giving you:
x^2+10=-29
next, used (b/2)^2 to create a trinomial square, which will be 5 so you will have:
x^2-10x+(-5)^2=-29+(-5)^2
Then, simplify the equation:
x^2-10x+25=-4
Next, factor into (x-5)^2 which is:
(x-5)^2= -4
Finally, solve for X:
x=5 +/- 2i
x2+10×+29=0
answer is A 5+2i
3,350 to the nearest ten.
Answer:
Step-by-step explanation:
3350 to the nearest ten is 3350
wth is the value of b my guy
triangle ABC is a right triangle and cos (22.6°)=b/13. Solve for b and round the the nearest whole number.
which equation correctly uses thw value of b to solve for a?
tan(22.6)=a/13
tan (22.6)=13/a
tamd(22.6)=a/12
tan(22.6) =12/a
Answer:
1) [tex]b=12[/tex]
2) [tex]tan(22.6\°)=\frac{a}{12}[/tex] (Third option)
Step-by-step explanation:
Remember that:
[tex]cos\alpha=\frac{adjacent}{hypotenuse}\\\\tan\alpha=\frac{opposite}{adjacent}[/tex]
1) Given that:
[tex]cos(22.6\°)=\frac{b}{13}[/tex]
You know that b is the adjacent side of the right triangle.
To solve for b you must multiply both sides of the expression by 13. Then, the value of b is:
[tex]13*cos(22.6\°)=\frac{b}{13}*13\\13*cos(22.6\°)=b\\b=12[/tex]
2) Then, you have that the equation correctly uses the value of b ( adjacent side) to solve for a (opposite side) is:
[tex]tan(22.6\°)=\frac{a}{12}[/tex]
The value for b is 12 and [tex]tan(22.6 ^{\circ \:} )=\frac{a}{12}\\[/tex].
RIGHT TRIANGLE
A triangle is classified as a right triangle when it presents one of your angles equal to 90º.
For solving this question, you need to apply trigonometric ratios for the right triangle.
This question informs [tex]cos (22.6)=\frac{b}{13}[/tex]. Here, you should remember that cos of an angle is calculated by the ratio between the adjacent side from the angle and the hypotenuse of the right triangle. Therefore, [tex]cos=\frac{adj}{hyp}[/tex].
From a calculator, you find cos(22.6°)=0.92321. Thus,
[tex]cos (22.6)=\frac{b}{13}\\ \\ 0.92321=\frac{b}{13}\\ \\ b= 0.92321*13\\ \\ b=12.002\\ \\ b=12[/tex]
The second part of question asks how to find the tangent value. The tangent can be calculated by formula presented below:
[tex]tan(\alpha )=\frac{opposite \;side\;angle}{adjacent\;side\;angle}[/tex]
For the angle 22.6°, you have:
opposite side = b=12adjacent side= a hypotenuse=13Therefore, [tex]tan(22.6 ^{\circ \:} )=\frac{a}{12}\\[/tex]
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In which of the following quadrilaterals are consecutive angles always congruent? Check all that apply.
square
parallelogram
rectangle
rhombus
The quadrilaterals that have consecutive angles equal to each other are Square and a Rectangle, the correct option is A and C.
What is a Quadrilateral?Quadrilateral is a polygon with four sides.
The quadrilaterals with consecutive angles always congruent are:
Square : The square has all angles of equal measure of 90 degrees.
Rectangle: A rectangle also has all angles equal to 90 degree.
To know more about Quadrilateral
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What is the explicit rule for the sequence in simplified form?
−1,−4,−7,−10,−13…
Question 12 options:
an=4−5n
an=−4−3n
an=2−3n
an=−6−5n
Answer:
an = 2 - 3n ⇒ The third answer
Step-by-step explanation:
∵ a1 = -1
∵ a2 = -4
∵ a3 = -7
∵ a2 - a1 = -4 - -1 = -3
∵ a3 - a2 = -7 - -4 = -3
∴ It is an arithmetic sequence with
1st term = -1 and constant difference = -3
∵ The rule of any arithmetic is: an = a + (n - 1)d
∵ a = -1 and d = -3
∴ an = -1 + (n - 1)(-3)
∴ an = -1 - 3n + 3
∴ an = 2 - 3n ⇒ The third answer
Which fraction has the greatest value 1/3 2/10 1/6 or 2/7
1/3 has the greatest value
1/3 has the greatest value. Hope this helps!
The if James problem please help
Answer:
The answer to this is 34 minutes and 50 seconds.
Step-by-step explanation:
First, I multiplied 23 x 2 = 46 because I wanted to see how much minutes it could be in 20 minutes.
Then, I got the answer by getting the median.
23 - 46
the median of that is 34.5. Therefore, the expected time for 15 laps is 34 minutes and 50 seconds.
Hope this Helped!!!!
~Shane
Answer:
34.5 Is the answer or 34 minutes and 5 seconds.
Step-by-step explanation:
1) Set a Proportion Minutes on top over laps
23/10 = x/15
2) cross Multiply
10 times x = 10x
23 times 15 = 345
3) Solve for X (x is the amount of minutes for 15 laps)
345 = 10x
Divide 10 on both sides
345/10= 34.5
Hopes this Helps you !
A bag contains 6 red balls, 4 green balls, and 3 blue balls. If we choose a ball, then another ball without putting the first one back in the bag, what is the probability that the first ball will be green and the second will be red?
Answer: [tex]\dfrac{2}{13}[/tex]
Step-by-step explanation:
Given : A bag contains 6 red balls, 4 green balls, and 3 blue balls.
Total balls = 6+4+3=13
Probability of drawing first ball as green :
[tex]P(G)=\dfrac{\text{Number of green balls}}{\text{Total balls}}\\\\=\dfrac{4}{13}[/tex]
If the first ball will be green, then the total balls left in bag = 13-1=12 and number of red balls remains the same.
Now, The conditional probability of drawing a red ball given that first ball was green :-
[tex]P(R|G)=\dfrac{\text{Number of red balls}}{\text{Total balls left}}\\\\=\dfrac{6}{12}=\dfrac{1}{2}[/tex]
Now, the probability that the first ball will be green and the second will be red will be :-
[tex]P(G\cap R)=P(G|R)\times P(G)\\\\=\dfrac{4}{13}\times\dfrac{1}{2}=\dfrac{2}{13}[/tex]
Hence, the required probability = [tex]\dfrac{2}{13}[/tex]
SOMEONE PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
8,9,10
That is the answer
8,9,10 would be the answer
because 16-8 is 8 and that is equal to the inequality <8
because 16-9 is 7 which is less than 8
because 16-10 which is 6 and is smaller than 8
What is 8.25 rounded off to the nearest whole number
8.25 rounded off to the nearest whole number is 8, because the digit after the decimal point (2) is less than 5, which implies that we do not increase the whole number part.
Explanation:To round off 8.25 to the nearest whole number, we look at the digit to the right of the decimal point, which is 2. Since this digit is less than 5, we keep the digit before the decimal point as it is. Therefore, 8.25 rounded off to the nearest whole number is 8.
When rounding numbers, such as rounding off 0.028675 to 0.0287 or 92.85 to 92.8, a key rule to remember is that if the dropped digit is greater than or equal to 5, you round up; if less, you round down. Applying this principle, we see that because 2 is less than 5, 8.25 rounds down, leaving us with 8 as the rounded result.
algebraic expression phrase p divided by 6
Answer:
Step-by-step explanation:
Is what you want equal to p/6? That's all that is written.
Answer:
[tex]\frac{p}{6}[/tex]
Step-by-step explanation:
An algebraic expression is any expression using variables, in this case, p.
Which line is the graph of y = 1/2x + 1?
line a
line b
line c
line d
Answer:
B
Step-by-step explanation:
When x=0,
Y=1/2(0)+1
Y=1
Look for the line with the point (0,1)
Simplify The expression 8(5x-9)
40x-72 because 8×5x is 40x and 8×9 is 72
Sid needs 0.7 meters of canvas material to make a carry all bag for his wheelchair. If the canvas is $5.32 per meter how much will Sid spend ?
0.7 x 5.32= 3.759
To Make it simpler = $3.75
3 dollars and 75 cents.
I hope I’m right ^^
Sid spend $3.724 on his bag material.
What is multiplication?Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
According to the question
Sid needs 0.7 meters of canvas material to make a carry all bag for his wheelchair.
If the canvas is $5.32 per meter how much will Sid spend.
Based on the given conditions , formulate
= [tex]0.7 \times 5.32[/tex]
= $3.724
Sid spend $3.724 on his bag material.
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Solve for X
Your answer must be simplified.
-7x > 10
Answer:
There are many solution for this problem
The solutions are -2, -3, -4..... And even fractions like -11/7, -12/7, etc.
Hope this helps!
For this case we indicate the solution of the following e-inequality:
[tex]-7x> 10[/tex]
We divide between "-7" on both sides of the inequality, keeping in mind that when doing this operation the sign will change, since we operate with a negative sign.
So:
[tex]\frac {-7x} {- 7}> \frac {10} {- 7}\\x <- \frac {10} {7}[/tex]
Thus, the domain of the variable "x" is given by all the numbers smaller than -[tex]-\frac {10} {7}[/tex]
ANswer:
[tex]x <- \frac {10} {7}[/tex]
If a/b=3/4 and a/c=5 what is b/c?
I WILL MARK BRAINLIEST
Answer:
it would be 4/5 because c= 5 and b=4
Answer:
b/c = 20/3
Step-by-step explanation:
a/b =3/4
a/c = 5
a/c =5
Divide both sides by a/b
a/c ÷a/b = 5÷a/b
Replace the a/b on the right by 3/4 since they are equal
a/c ÷a/b = 5÷3/4
We will use copy dot flip
a/c * b/a = 5 * 4/3
b/c = 20/3
what is the value of y in the equation 2(3y -6) equals 0
-2
0
2
6
Answer:
y=2
Step-by-step explanation:
2(3y -6)=0
multiply 2 times 3y-6
6y-12=0
add 12 to both sides
6y=12
devide by 2
y=6
Which attribute is NOT always true for a rhombus?
A) four equal sides
B) four right angles
C) opposite congruent angles
D) two sets of parallel sides
Answer:
the answer would be b)
Step-by-step explanation:
Answer:
B) four right angles
Step-by-step explanation:
The definition of a rhombus is that it is an equilateral quadrilateral.
This definition knocks out A.
C and D can also be knocked out because opposite angles are congruent, so they both must also be true.
Also, B is the requirement for a square, not a rhombus.
HELP! Gareth is playing a racing game. To get star rating 1, Gareth needs to win four races. Thereafter, for every three races he wins, his star rating increases by one. Determine which graph represents this situation.
Answer:
The third option C.
Step-by-step explanation:
Answer:
The graph C is the right answer.
Step-by-step explanation:
Gareth is playing a racing game. To get star rating 1, Gareth needs to win four races. Thereafter, for every three races he wins, his star rating increases by one.
So, the graph that represents this - The C graph.
We can see that the graph travels 3 places right and then 1 up. The blue solid dot represents the final count. The light dotted is the initial travel period of the graph.
After the graph moves 1 point up, it again travels 3 points right and this continues at each step.
So, C is the right graph.
x is 110% of 10, y% of 50 is 3.5
For the expression "X is 110% of 10," X is equal to 11.
For the expression "y% of 50 is 3.5," the value of y is 7.
From the information given, we can solve for both x and y:
1. Finding x:
"X is 110% of 10" means that x is equal to 110% multiplied by 10.
110% can be written as a decimal by dividing by 100: 110/100 = 1.1
Therefore, x = 1.1 * 10 = 11.
2. Finding y:
"y% of 50 is 3.5" means that y% multiplied by 50 is equal to 3.5.
To solve for y%, we can rearrange the equation: y% = 3.5 / 50.
To express y as a percentage, we can multiply by 100: y = (3.5 / 50) * 100 = 7.
Complete question:
Calculate the percentage: X is 110% of 10, y% of 50 is 3.5
Final answer:
We calculated x by determining that it's 110% of 10, which results in x being 11. Then, we solved for y by understanding that y% of 50 equals 3.5, leading to the conclusion that y is 7.
Explanation:
To solve for x, we consider that it is 110% of 10. To convert a percentage into a decimal, we divide by 100, so 110% becomes 1.10. Therefore, x = 1.10 × 10. After multiplying, we get x = 11.
For the second part, we have y% of 50 is 3.5. The equation can be represented as (y/100) × 50 = 3.5. To find y, we divide both sides by 50 and then multiply by 100 to get y = (3.5 × 100) / 50. Solving for y, we find y = 7.