Answer:
TR = 3 ft
Step-by-step explanation:
tan x = [tex]\frac{o}{a}[/tex]tan (21) = [tex]\frac{o}{7.7}[/tex]7.7( tan 21) = o2.9 = oround up and you get;3.0=o3
[tex]3 \sqrt{54a {8y {5 \div 3 \sqrt{2a { - 1y {2}^{?} }^{?} } }^{2} }^{2} } [/tex]
Answer :
(a³y 3√20u)/2
Explanation :
I used these steps in solving the question
I hope it helps :)
Note : The quotient of roots with the same indexis equal to the root of the quotientWrite the division as a fractionSimply the expression [tex] \frac{ {a}^{8} }{ {a}^{ - 1} } = {a}^{9} \\ \frac{ {y}^{5} }{ {y}^{2} } = {y}^{3} [/tex]Use the communative property to reorder the termsTake the root of the numerator and denominator separately.Simplify the radical expressionMultiply the fraction by [tex] \frac{ \sqrt[3]{ {2}^{2} } }{ \sqrt[3]{ {2}^{2} } } [/tex]Calculate the productEvaluate the power ( in numerator)Calculate the product ( in denominator)Calculate the product of 5×4uReduce the index of the radical and exponents with 3
Need help ASAP please
Answer: choice D) 5
Step-by-step explanation:
22.5/9=2.5
23.5/2.5=9.4
9.4-4.4=5=x
A car travelled a distance of 50km in an hour. What distance did it travel in 30minutes?
One angle of a quadrilateral is 111° and the remaining three angles are equal. Find three
angles.
Answer:
All of the 3 angles equal to 83°
Step-by-step explanation:
3x + 111° = 360°
3x = 249°
x = 83°
What is the measure of U
Answer:
U = 48
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
x+21 + x+23 + x+61 = 180
Combine like terms
3x + 105 = 180
Subtract 105 from each side
3x+105-105 = 180-105
3x = 75
Divide by 3
3x/3 = 75/3
x = 25
We want angle u
x+23
25+23
48
Answer:
48
Step-by-step explanation:
All interior angles of a triangle add up to 180.
[tex](x+21)+(x+23)+(x+61)=180[/tex]
If you wanted to you could subtract 21, 23, and 61 from 180.
[tex](x+21)+(x+23)+(x+61)=180\\x+21+x+23+x+61=180\\3x+105=180\\3x=75[/tex]
Then take then number that's left and divide it by three, since they are all in addition to the same variable.
[tex]\frac{3x}{3}=\frac{75}{3}\\ x=25[/tex]
Then add 25 to 23 which is 48.
A rectangle has a width of 54 cm and a perimeter of 222 cm. What is the rectangles length?
Answer:
57cm
Step-by-step explanation:
Width of the rectangle = 54cm
Perimeter = 222cm
Length = (222 - (54x2))/2 = (222-108)/2 = 57cm
what is the value of A when r=9 in inverse proportions
Answer:
3.6 and 2
Step-by-step explanation:
Given R is inversely proportional to A then the equation relating them is
R = [tex]\frac{k}{A}[/tex] ← k is the constant of proportion
To find k use the condition R = 12 when A = 1.5, that is
12 = [tex]\frac{k}{1.5}[/tex] ( multiply both sides by 1.5 )
18 = k
R = [tex]\frac{18}{A}[/tex] ← equation of proportion
(a)
when A = 5, then
R = [tex]\frac{18}{5}[/tex] = 3.6
(b)
when R = 9, then
9 = [tex]\frac{18}{A}[/tex] ( multiply both sides by A )
9A = 18 ( divide both sides by 9 )
A = 2
which descriptions from the list below describe the relationship between xyz and uvw check all that apply
Answer:
similar and same shape.
Step-by-step explanation:
Answer:
same shape and similar
Step-by-step explanation:
What is the range of the function g(x) = |x – 12| – 2?
Answer:
[-2 , +∞[
Step-by-step explanation:
g(12) = |12 - 12| - 2 = -2
if x ≠ 12 then |x - 12| ≥ 0 because the absolute value I should always positive.
then |x – 12| – 2 ≥ -2
then g(x) ≥ -2
then the range is [-2 , +∞[
Answer:
B
Y is greater than or equal to -2
What is the average speed of a toy car that travels 240 cm in one minute?
A 4 centimeters per second
B240 centimeters per second
C40 centimeters per second
D centimeters per second
Answer:
A is correct
Step-by-step explanation:
average speed : distance / time = 240cm / 60sec = 4cm / sec : 4 centimeters per second
Answer:
A
Step-by-step explanation:
To find the cars rate per second we need to divide 240 by 60
240/60 = 4
25 POINTS +BRAINLIEST Thalia, a quiz show contestant, answered 20 questions. She was awarded 2 points for every correct answer that she gave, but she was penalized 1 point for every incorrect answer. In the end, Thalia had a total of 28 points. In order to determine the number of correct and incorrect answers that she gave, a viewer at home used the system of linear equations x + y = 20 and 2 x + y = 28, with x being the number of correct answers and y being the number of incorrect answers. The viewer solved the system by using the linear combination method as shown. x + y = 20. + StartFraction Negative 2 x minus y = negative 28 over Negative x = negative 8 EndFraction. StartFraction negative x Over negative 1 EndFraction = StartFraction negative 8 Over negative 1 EndFraction. X = 8. 8 + y = 20. 8 + y minus 8 = 20 minus 8. y = 12. The viewer calculated that the contestant answered 8 questions correctly and 12 questions incorrectly. What went wrong? The viewer mistakenly determined that one of the equations in the system should be x + y = 20.Instead modifications should have been made before applying the equation. The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28. Instead modifications should have been made before applying the equation. The viewer multiplied the equation 2 x + y = 28 by –1 incorrectly. The viewer added the equations x + y = 20 and Negative 2 x minus y = negative 28 incorrectly.
Answer:
The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28.
Step-by-step explanation:
No of questions= 20
Right= x, Wrong= y, right= 2 points, wrong= -1 point, total points= 28
Correct pair of equations:
x+y= 20 and 2x-y= 28solution:
x= 20-y,2(20-y)- y= 2840-2y-y=283y= 40-283y=12y=4 and x= 20-y= 20-4= 16right= 16, wrong= 4======
The mistake is:
The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28.
Answer:
Step-by-step explanation:
Finished on edge 2020
find two numbers such that the sum of twice the first and thrice the second is 92 ,and four times the first exceeds seven times the second by 2
Answer:
First number = 25
Second number = 14
Step-by-step explanation:
Let the numbers be x & y
The sum of twice the first and thrice the second is 92
2x + 3y = 92 -------------------(I)
Four times the first exceeds seven times the second by 2
4x - 7y = 2 --------------------(II)
Multiply equation (I) by -2 and then add the equations
(I)*-2 -4x - 6y = -184
(II) 4x - 7y = 2 { Now add, thus x will be eliminated}
- 13y = -182 {Divide both sides by -13}
y = -182/-13
y = 14
Plugin the value of y in equation (I)
2x + 3*14 = 92
2x + 42 = 92
2x = 92 - 42
2x = 50
x = 50/2
x = 25
First number = 25
Second number = 14
solve for x
please help !!
Answer:
34
Step-by-step explanation:
j
Answer:
it would be 31
Step-by-step explanation:
write down in terms of n 4 ,1 -2, -5 ,-8
Answer:
aₙ= 3n+1
Step-by-step explanation:
4 ,1 -2, -5 ,-8
AP with a₁=4 and d= -3
----------------
aₙ= 4+3*(n-1)= 4+3n-3= 3n+1
aₙ= 3n+1
If a candy bar has 150 calories per 3 servings how many calories are there in 5 servings ?
Answer:
250
Step-by-step explanation:
Ok so since 3 serving Is 150 you need to divide 150 by 3 to get the colerios per 1 serving, thats 50 then multyply it by 5 and you get 250
Pat's potato farm grew 490 pounds of potatoes. Pat delivered 3/7 of the potatoes to a vegi stand. The owner of the vigi stand delivered 2/3 of the potatoes he bought to a local grocery store, witch packaged half of the potatoes that were delivered into 5 pond bags. How many 5 pound bags did the grocery store package.
Answer:
14 bags
Step-by-step explanation:
Total potato grown on Pat's potato farm = 490 pound
Fraction of potato delivered to vegi stand = 3/7 of total potato
Therefore,
Potato delivered to Vegi stand in pound = 3/7 of Total potato grown
= 3/7 of 490 = 3/7 * 490
= 210
Thus, 210 pound potato is delivered to vegi stand
___________________________________________
Fraction of potato delivered to local grocery store = 2/3 of potato delivered to Vegi stand
Therefore,
Potato delivered to local grocery store in pound = 2/3 of potato delivered to Vegi stand
= 2/3 of 210 = 2/3 * 210
= 140
Thus, 140 pound potato is delivered to local grocery store.
____________________________________________________
Half of the potatoes delivered were packaged into 5 pound bags
Half of 140 pound potato is delivered to local grocery store will be
140/2 = 70 pounds.
Thus, 70 pounds potatoes were packed in 5 pound bags.
Let the the no of 5 pounds bag be x.
if one bag has 5 pound potatoes then
x bag will have 5*x = 5x pound potatoes,
but it is given that 70 pounds potatoes were packed in 5 pound bags.
thus,
5x = 70
x = 70/5 = 14
Thus, 14 bags were packed by grocery store package.
[tex] \frac{1}{( \sqrt[4]{256})^{-2} } [/tex]
1/ (^4√256)^-2
please simplify using exponent laws and then evaluate expression
Answer:
16.
Step-by-step explanation:
I have attached the work to your problem.
Please see the attachment below.
I hope this helps!
Please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
Step 1
Step-by-step explanation:
I believe it's step 1 because he subtracted 6 from 86 before distributing the five. In math, you must follow PEMDAS (parentheses, exponents, multiplication & division, addition & subtraction.) This person skipped the parentheses.
When she graduated from college, Andrea deposited $2,000 in a savings account that earned 9% simple interest. What was the balance of her accounts after 6 months?
Answer:
$2090
Step-by-step explanation:
The time is 6/12 since it is in months and not years
Interest = [tex]\frac{Principal * Rate * Time}{1}[/tex]
=[tex]\frac{2000 * 9 * 6}{100*12}[/tex]
= $90
This means her balance will be $(2000+ 90) = $2090
factorise x^2-5x-6 please!??!?
Answer:
(x - 6)(x + 1)
Step-by-step explanation:
Given
x² - 5x - 6
Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 5)
The factors are - 6 and + 1 , since
- 6 × 1 = - 6 and - 6 + 1 = - 5, thus
x² - 5x - 6 = (x - 6)(x + 1) ← in factored form
Answer:
(x+1) (x-6)
Step-by-step explanation:
factorice la expresion
x^2 + x - 6x- 6
x(x + 1) -6(x + 1)
la solucion es:
(x + 1) (x - 6)
What is the difference of the two polynomials (9x^2+8)-(2x^2+3x)
Answer:
7x^2 -3x +8
Step-by-step explanation:
(9x^2+8)-(2x^2+3x)
Distribute the minus sign
(9x^2+8)-2x^2-3x)
Combine like terms
9x^2 -2x^2 -3x+8
7x^2 -3x +8
Answer:
[tex]5x {?}^{2} + 8 - 3x [/tex]
[tex]9x {?}^{2} + 8 - (4x {?}^{2} + 3x) \\ 9x {?}^{2} + 8 - 4x - 3x \\ 5x {?}^{2} + 8 - 3x[/tex]
Two pupils each drew a triangle with one side of 6 cm , one side of 10 cm and one side of 7 cm. Must their triangles be congruent? (Answer ‘yes’ or ‘no’).
Answer:
no
Step-by-step explanation:
they can be either side because the numbers are different in the angles
What is the exponential regression equation for the data set?
WILL GIVE BRAINLIEST!
THIS IS URGENT EMERGENCY \
Answer:
Exponential Regression. An exponential regression is the process of finding the equation of the exponential function that fits best for a set of data. As a result, we get an equation of the form y=abx where a≠0 .
Step-by-step explanation:
Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
Step-by-step explanation:
Zeros: Set g(r) = (r + 14)^2 - 49 = to 0, obtaining
(r + 14)^2 = 49
Taking the square root of both sides, we get:
r + 14 = ± 7, which results in:
r = -14 + 7 = -7 and r = -14 - 7 = -21
The smaller root is -21 and the larger one is -7.
Vertex: Compare g(r) = (r + 14)^2 - 49 to y = (x - h)^2 + k, where (h, k) represents the vertex. We see that h = -21 and k = -49, so that we know the vertex to be (-21, -49).
Can anyone please help with this.
help meeeeeeeeeeeeeee
Answer:
184 square inches
Step-by-step explanation:
Bases: 4 in × 5 in × 2 bases = 40 in²
Smaller pair of lateral faces: 4 in × 8 in × 2 faces = 64 in²
Larger pair of lateral faces: 5 in × 8 in × 2 faces = 80 in²
40+64+80=184 in²
The surface area of the box is 184 in² or 184 square inches.
Answer: B) 184 Square Inches
Step-by-step explanation:
To find the surface area of the box we have to use the formula, the formula is A = 2wl + 2lh + 2hw....
To find the front and the back we have to multiply the width and the length...
8 * 5 = 40 + 40 = 80
To find the right and the left we have to multiply the length and the height...
8 * 4 = 32 + 32 = 64
To find the bottom and the top we have to multiply the height and the width...
4 * 5 = 20 + 20 = 40
40 + 64 + 80 = 184
The surface is 184 square inches, I hope this helps!
what is the y-intercept of y=-3x-2
Answer:
the answer is 2.
Step-by-step explanation:
the basic form of this equation is y=mx+c where c is the y intercept and m is the gradient. c=2 so 2 is the y intercept
Solve the exponential equation using logarithmic properties y=3^2x-4
The 2x is an exponent
Answer:
[tex]\frac{log(y+4)}{2log3}[/tex]
Step-by-step explanation:
Given the exponential equation [tex]y = 3^{2x}+4[/tex], to get 2x, we will make 2x the subject of the formula as shown;
[tex]y = 3^{2x}-4\\y+4 = 3^{2x}\\taking\ log\ of\ both\ sides\\log(y+4) = log3^{2x}\\ log(y+4) = 2xlog3\\dividing\ both\ sides\ by\ 2log 3\\\ x = \frac{log(y-4)}{2log3} \\[/tex]
The last expression gives the required value of x
Angles A and B are supplementary. Angle A has a measure of 80°. What is the measure of angle B?
The measure of angle B is
Answer:
The measure of angle B would be 100°
Step-by-step explanation:
Supplementary means two angles add up to 180 degrees. Let's say A+B=180. Since we know what A is, we can substitute that in, B+80=180. Now solve. B=100
A phone plan has a limit of $25 that can be spent on text messages. The base cost of the text plan will cost a user $5. Each text will cost $0.05. How many text messages (t) can a user send without exceeding the plan limits?
Answer:
400 texts
Step-by-step explanation:
Answer:
The answer is A)
Step-by-step explanation: