Answer:
[tex] \boxed{x \degree = 68 \degree} [/tex]
Given:
Measure of three interior angles of a quadrilateral is 55° , 117° and 120°
Step-by-step explanation:
Let the fourth interior angle be 'x'
The Interior Angles of a Quadrilateral add up to 360°
[tex] = > x \degree + 55 \degree + 117 \degree + 120 \degree = 360 \degree \\ \\ = > x \degree + 172 \degree + 120 \degree = 360 \degree \\ \\ = > x \degree + 292 \degree = 360 \degree \\ \\ = > x \degree = 360 \degree - 292 \degree \\ \\ = > x \degree = 68 \degree[/tex]
Which of the following points represents the center of a circle whose
equation is (x-3)2 + (y-2)2 = 16?
A. (3,-2)
B. (3, 2)
C. (-3,-2)
D. (-3, 2)
Answer: it’s (3,2)
Step-by-step explanation:
which statement correctly compares the value in the statement? |-0.073| blank |0.73|
Answer:
|-0.073| < |0.73|
Step-by-step explanation:
since it is absolute value |-0.073| = .073
and |0.73|= .73
|-0.073| |0.73|
Hello! The answer to your question is:
I believe it is 0.073 < 0.73
I hope this helped you!
PLS HELP ASAPPP plsss
Answer:
27.5
Step-by-step explanation:
this is the trigonometric ratio.. we are looking for d... that is the opposite... any side facing the angel is the opposite.... so the longest side of the right angle triangle is the hypotenuse........ so you are looking for the opposite and you are giving the hypotenuse.... so the easiest way to know how to find it is by using this way...... SOH CAH TOA..... the first words stand for sin cosine and tangent of angles.... we are using sin.... because it says opposite / hypotenuse... and as you can see the angle which is 39 degree we will use sin 39.....what will be sin 39=d/30m....then ull cross multiply.... d=30m* sin 39.....
d = 30m *0.963
d = 28.8
but since 27.5 is dere....
you can round up to 1 sig. f =28
HELP PLEASE!!
Given: Isosceles triangle ABC with vertex angle A, equal sides AB and AC, and an angle bisector, BD.
side = 1
angle = 36
BC has a length of 1. To the nearest tenth of a unit, find the lengths of the missing sides.
BD = __ units
AD = __ units
AB = __ units
AC = __ units
Answer:
BD = 1 unit
AD = 1 unit
AB = 1.6 units
AC = 1.6 units
Step-by-step explanation:
In the picture attached, the triangle ABC is shown.
Given that triangle ABC is isosceles, then ∠B = ∠C
∠A + ∠B + ∠C = 180°
36° + 2∠B = 180°
∠B = (180° - 36°)/2
∠B = ∠C = 72°
From Law of Sines:
sin(∠A)/BC = sin(∠B)/AC = sin(∠C)/AB
(Remember that BC is 1 unit long)
AB = AC = sin(72°)/sin(36°) = 1.6
In triangle ABD, ∠B = 72°/2 = 36°, then:
∠A + ∠B + ∠D = 180°
36° + 36° + ∠D = 180°
∠D = 180° - 36° - 36° = 108°
From Law of Sines:
sin(∠A)/BD = sin(∠B)/AD = sin(∠D)/AB
(now ∠A = ∠B)
BD = AD = sin(∠A)*AB/sin(∠D)
BD = AD = sin(36°)*1.6/sin(108°) = 1
An endangered whale species has a population of 6000. Biologists estimate that the stock is decreasing at 3% per year. At this rate, approximately how many years will it be before only 60% of the species remains?
A 9.0 years
B 9.6 years
© 10.0 years
D 16.8 years
9514 1404 393
Answer:
D. 16.8 years
Step-by-step explanation:
The multiplier each year is 1-3% = 0.97, so the multiplier after x years is 0.97^x. You want to know the value of x when that multiplier is 60%, or 0.60.
0.97^x = 0.60
x·log(0.97) = log(0.60) . . . . . . take logarithms
x = log(0.60)/log(0.97) ≈ 16.8
At the given rate, it will be 16.8 years before 60% of the species remains.
Log4x=0 in fraction form showing work. Help
Question 9 of 10
2 Points
What is the principal square root of 16?
A. 4
B. -2
C.-4
D. 2
Answer:
4
Step-by-step explanation:
The right answer is 4.
look at the attached picture
Hope it will help you
Good luck on your assignment
Drag the tiles to the correct boxes to complete the pairs. Based on the diagram, match the trigonometric ratios with the corresponding ratios of the sides of the triangle.
Answer:
[tex]tanC=\frac{c}{b},[/tex] [tex]sinB=\frac{b}{a},[/tex] [tex]tanB=\frac{b}{c},[/tex] and [tex]cosB =\frac{c}{a}[/tex]
Step-by-step explanation:
We can use the phrase SOH-CAH-TOA to help us with this problem. SOH-CAH-TOA stands for Sine = Opposite / Hypotenuse, Cosine = Adjacent / Hypotenuse, and Tangent = Opposite / Adjacent. This phrase helps to remember which sides of a right triangle get divided by which.
First, we'll evaluate [tex]cosB[/tex]. Referencing CAH (Cosine = Adjacent / Hypotenuse), we know that [tex]cosB[/tex] is equal to the length of the adjacent leg to ∠B, which is c, divided by the length of the hypotenuse of the right triangle, which is a. Therefore, [tex]cosB =\frac{c}{a}[/tex].
As for [tex]tanC[/tex], we can refer to TOA (Tangent = Opposite / Adjacent), which means that [tex]tanC[/tex] is equal to the length of the opposite leg to ∠C, which is c, divided by the length of the adjacent leg to ∠C, which is b. Therefore, [tex]tanC=\frac{c}{b}[/tex].
As for [tex]sinB[/tex], we can refer to SOH (Sine = Opposite / Hypotenuse), which means that [tex]sinB[/tex] is equal to the length of the opposite leg to ∠B, which is b, divided by the length of the hypotenuse of the right triangle, which is a. Therefore, [tex]sinB=\frac{b}{a}[/tex].
Finally, we'll evaluate [tex]tanB[/tex]. As TOA tells us, [tex]tanB[/tex] is equal to the length of the opposite leg to ∠B, which is b, divided by the adjacent leg to ∠B, which is c. Therefore, [tex]tanB=\frac{b}{c}[/tex].
Hope this helps!
Of 60 corn seeds that were planted, 18 of them did not sprout. What percent of the corn seeds
did not sprout? Show how you arrived at your answer.Of 60 corn seeds that were planted, 18 of them did not sprout. What percent of the corn seeds
did not sprout? Show how you arrived at your answer.
Answer:
30%
Step-by-step explanation:
18 / 60 = .3 * 100 = 30%
Answer:
The percent of the the corn seeds is 30%.
Step-by-step explanation:
Because when you calculate 60% and 18% will get a percent 30%.
Solution for 18 is what percent of 60:
18:60*100 =
( 18*100):60 =
1800:60 = 30
Now we have: 18 is what percent of 60 = 30
Question: 18 is what percent of 60?
Percentage solution with steps:
Step 1: We make the assumption that 60 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=60$.
Step 4: In the same vein, $x\%=18$.
Step 5: This gives us a pair of simple equations:
$100\%=60(1)$.
$x\%=18(2)$.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{60}{18}$
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{18}{60}$
$\Rightarrow x=30\%$
Therefore, $18$ is $30\%$ of $60$.
Hope this helps :D and can i get brainlest plz
PLEASE HELP, BEST ANSWER GETS BRAINLIEST:
Copy and complete.
Answer:
19%
Step-by-step explanation:
1. Decrease by 10% = 0.9 times
2. Repeat decrease by 10% = 0.9*0.9= 0.81 times
0.81 times decrease equals to 100%-81%= 19% decrease
Which situations can be represented by the equation 3+15=288? Select all that apply.
Nate buys a phone that costs $288. He is able to put $15 down and then pay the remaining balance in 3 equal payments. What is x, the amount of one payment?
Nate upgrades his phone. He makes 3 equal payments of $288 each and pays an additional $15 in taxes. What is x, the total cost of the phone?
Nate bought his 3 children identical phones and chargers. He spent a total of $288. If each charger was $15, what is x, the cost of one phone?
Nate bought his 3 children identical phones and chargers. He spent a total of $288. If each charger was $5, what is x, the cost of one phone?
Nate bought his 3 children identical phones totaling $288. Nate used a coupon for “$15 off total purchase.” What is x, the discounted price of one phone?
Answer:
the first and last option.
Step-by-step explanation:
the equation will be equal to 288.
x is the amount of one payment that he makes 3 times, hence the 3x.
15 is his initial payment so that is added to the 3x to equal 288.
the second equation still equals to 288.
the 15 is still there because added to the phone price it is equal to 288.
the x represents the price of the phones and 3 is how many he's getting, hence the 3x.
Answer:
the equation will be equal to 288.
x is the amount of one payment that he makes 3 times, hence the 3x.
15 is his initial payment so that is added to the 3x to equal 288.
the second equation still equals to 288.
the 15 is still there because added to the phone price it is equal to 288.
the x represents the price of the phones and 3 is how many he's getting, hence the 3x.
Step-by-step explanation:
Mark me brainiest please
The solution of the equation 5 - 2x = -4x – 7 is
1.
1
2.
2
3.
-2
A
-6
Answer:
x = -6.
Step-by-step explanation:
5 -2x = -4x - 7
Add '4x' to both sides:
5 - 2x + 4x + -4x + 4x -7
5 + 2x = -7
Subtract '5' from both sides:
5 - 5 + 2x = -7 - 5
2x = -12
Divide both sides by '2':
x = -6.
The radius of a circle with an area of 9/4pi is increased by a scale factor of x. The resulting circle has an area of 81pi . What is the value of x?
Answer:
x = 36.
Step-by-step explanation:
I have attached the work to your problem.
Please see the attachment below.
I hope this helps!
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
26
Step-by-step explanation:
lol
Answer:
AC = 26
Step-by-step explanation:
AB + BC = AC
18+ 8 = AC
26
PLZ HELP ASAP!! WHAT IS 7- x-3 DIVIDED BY 4 + 2 ( WILL MARK BRAINLIEST)
Which choices are equivalent to the expression below? Check all that apply.
3 square root of 6
A. 54
B. 27. VA
c. 27. 2
D.64
E. 18
F 19.6
[tex]3\sqrt{6} = \sqrt{9}*\sqrt{6} = \sqrt{9*6} = \sqrt{54}[/tex]
The rule I'm using is
[tex]\sqrt{x}*\sqrt{y} = \sqrt{x*y}[/tex]
note how I rewrote "3" into the square root of 9, so that everything would have a square root over it, and that allows me to use that rule above.
[tex]\sqrt{54}[/tex] equivalent to the expression [tex]3\sqrt{6}[/tex].
What is expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given expression
[tex]3\sqrt{6}[/tex]
We have the property [tex]\sqrt{x}[/tex] × [tex]\sqrt{y}[/tex] = [tex]\sqrt{x.(y)}[/tex]
[tex]3\sqrt{6}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{6}[/tex]
= [tex]\sqrt{9.(6)}[/tex]
= [tex]\sqrt{54}[/tex]
[tex]\sqrt{54}[/tex] equivalent to the expression [tex]3\sqrt{6}[/tex].
Find out more information about expression here
https://brainly.com/question/14961928
#SPJ3
There are xboys playing in the park. The number of girls playing in the park is equal to the square root of the number of boys. If the total
number of boys and girls playing in the park is 42, find the number of boys.
A. 49
B.6
C. 36
D. 7
Answer:
x = 36 and √x = 6; total 42 children
Step-by-step explanation:
Number of boys: x
Number of girls: √x
Total number of kids: x + √x = 42.
Find x.
Rewrite x + √x = 42 as √x = 42 - x. Then square both sides:
x = 1764 - 84x + x^2, or
x^2 - 85x + 1764 = 0
Check out Answer C: x = 36. Is the above equation true for x = 36? YES
Check out Answer A: x = 49. Is the above equation true for x = 49? YES
Assume that x = 36. This would be the number of boys. The number of girls would be √36, or 6. Does the sum of 36 and 6 equal 42? YES. So the number of boys is 36 and the number of girls is 6.
Assume that x = 49. This would be the number of boys. The number of girls would be √49, or 8. Does the sum of 49 and 7 equal 42? NO. So we reject x = 49 as the number of boys and accept x = 36 as being correct.
please answer fast!!
which graph best represents the solution to 1/2 x -2 = 3?
Answer:
i believe the answer is D (which is 10)
Step-by-step explanation:
i just took the test. so you have to isolate X, so you add 2 to both sides and on the right you get answer of "5". so then you have to multiply both sides by "2/1" (which is the reciprocal of 1/2) and so on the left side so you're left with just "x", and on the right side you have 2/1 times 5/1 which equals "10".
The graphs below have the same shape. What is the equation of the blue graph? G(x) =
A. G(x)= (x+4)^2
B.G(x)=x^2+4
C.G(x)= (x-4)^2
D.G(x)= x^2-4
Answer:
CStep-by-step explanation:
G(x) is transformed from the parent function f(x)=x^2 by:
right 4 units
since we all know that the vertex form of a quadratic equation is y=a(x-h)^2+k
since 4 is h, and k is 0 ( graph is on the x-axis), we can write the equation of this graph:
g(x)=(x-4)^2, which is C
I’m confused :( I will mark as Brainliest and give you points
Answer:
123.5 square inches
Step-by-step explanation:
Given: To find the area of a rectangle, you have to multiply base times height.
To find the area of a triangle, you have to do base times height devided by 2.
Finding the area: Let's break up this shape into polygons. At the bottom there is a rectangle. We know that to find the area of the rectangle you have to do base times height. 13in•7in will give you 91in square for the rectangle.
Now for the triangle. If you can see, if you break the triangle in half, there are 2 right triangles. Let's look at the right one for now. Since we know that to find the area of a triangle you have to do base times height divided by 2, you do 5in•6.5in=32.5in. 32.5in divided by 2 is 16.25in square which is the area of one triangle. You might be wondering why i did 5•6.5, and that's because at the bottom of the rectangle you can see it's 13in, and 13in÷2=6.5in.
We already found the area of the rectangle and one triangle. The other triangle is equal to it so we can just do 16.25+16.25=32.5in square for both of the triangles.
Now we add it all up: 32.5+91=123.5 square inches
Which choice is equivalent to the product below?
√8 × √3
The right answer is 2√6
look at the attached picture
Hope it will help you
Good luck on your assignment
St lunch, 6 friends share 4 pizzas equally. What fraction of a pizza does each friend get?
Answer:
2/3
Step-by-step explanation:
6 friends share 4 pizzas, each get 4/6 = 2/3 pizza
At the top hat dance studio, classes cost $20 for 5/6 of an hour. What is the hourly rate
Answer:
I would say $24?
Step-by-step explanation:
20/5=4
20+4=24
This is because $20 is for 5/6 of an hour, $24 would be for the entire hour.
Answer: its 24
Step-by-step explanation:
i have confirmed!!
The larger triangle is the image of the smaller triangle after a dilation. The center of the dilation is (−2,−2). Two triangles are graphed on a coordinate plane. The horizontal x-axis ranges from negative 10 to 10 in increments of 1. The vertical y-axis ranges from negative 10 to 10 in increments of 1. A dashed triangle has vertices at begin ordered pair negative 2 comma 7 end ordered pair, begin ordered pair 7 comma negative 2 end ordered pair, and begin ordered pair negative 2 comma negative 2 end ordered pair. A solid triangle has vertices at begin ordered pair negative 2 comma negative 5 end ordered pair, begin ordered pair negative 5 comma negative 2 end ordered pair, and begin ordered pair negative 2 comma negative 2 end ordered pair. What is the scale factor used to create the dilation? Enter your answer in the box.
Answer:
CORRECT answer is -3
Step-by-step explanation:
What can you determine from the bar graph shown? *WOULD MARK BRAINLIEST IF IK HOW TO THO
Answer:
fall dance cost more money?
Step-by-step explanation:
[ matrix 4&2 matrix ]*[ matrix -2&5\\ 7&-1 matrix ]
Step-by-step explanation:
[4 2] ×[-2/7 5/-1]
[4×(-2)+4×5/4×7+4×(-1) 2×(-2)+2×5/2×7+2×(-1)]
[-8+20/28+(-4) -4+10/14+(-2)]
[12/24 6/12]
If A = (9, 18) and B = (1, 12), what is the length of AB?
O A. 10 units
B. 12 units
C. 9 units
O D. 11 units
The length of AB is 10 units.
look at the attached picture
Hope it will help you
Good luck on your assignment
Miguel's lemon cookie recipe calls for 5 cups of sugar. How much sugar would Miguel use to make 3 3/4 batches of cookies?
PLEASE HELP!!!!
Answer:
18.75 or 18 3/4
Step-by-step explanation:
assuming 5 cups is for 1 batch we can just multiply 5 and 3 3/4 to get our answer.
f(x) = x^2 – (x + 3), what is the value of f(8)
Answer:
53
Step-by-step explanation:
f(x) = x^2 – (x + 3)
Let x = 8
f(8) = 8^2 – (8 + 3)
=64 - (11)
=53
Jack's credit card has a 20% APR. Find the periodic interest rate from June 3
to July 2. Round your answer to two decimal places,
O A. 2.35%
O B. 1.67%
O c. 2.12%
O D. 1.64%
Answer:
B. 1.67%
Step-by-step explanation:
The periodic rate is the annual interest rate divided by the number of periods.
The period from June 3 to July 2 is a Month.There are 12 Months in a YearTherefore, we divide the annual interest rate by 12.
[tex]20\% \div 12 =1.67\% $(correct to two decimal places)[/tex]
Therefore, the periodic interest rate for Jack's credit card from June 3
to July 2 is 1.67%.
