The answer would be a two-column proof.
A two-column proof is a logical argument arranged with statements and reasons.
Hope that helps, :)
1. Find the area and perimeter of the triangle.
16 cm
20.9 am
27 cm
Answer:
Perimeter = 63.9 cm.
Area = 166.96 cm^2 to the nearest hundredth.
Step-by-step explanation:
The perimeter = 16+20.9+27 = 63.9 cm.
To find the area you can use Heron's Formula.
Area = √ [ s(s-a)(s-b)(s-c)] where s = the semi-perimeter and a, b and c are the lengths of the 3 sides.
s = 63.9 / 2 = 31.95.
Area of the triangle = √ (31.95(31.95-16)(31.95-20.9)(31.95-27)]
= 166.96 cm^2.
35 more than 5 times a number, w, is -10, what is the number w?
Answer: w= -9
Step-by-step explanation:
Set up an equation, 5 times a number is 5w, and 35 more, means plus 35. All of this is equal to -10, so the equation will be:
5w+35=-10
Subtract 35 from both sides
5w=-45
Divide by 5 on both sides
w= -9
Hope this helped!
Fabio has run five eighths of the race. What fraction of the race remains?
Answer:
[tex]\frac{3}{8}[/tex]
Step-by-step explanation:
Fractionssince [tex]\frac{5}{8}[/tex] has been completed
the remaining would be :
[tex]\frac{8}{8} -\frac{5}{8}[/tex]
since denominators are the same
= [tex]\frac{8 - 5}{8} \\\\[/tex]
= [tex]\frac{3}{8}[/tex]
the fraction of the race that is remaining is 3/8
Parallelogram R S T U is shown. Diagonals are drawn from point R to point T and from point U to point S and intersect at point V. The length of line segment U V is (x + 3) meters and the length of line segment V S is (2 x minus 7) meters.
In parallelogram RSTU, what is SU?
Answer:
SU = 26 meters
Step-by-step explanation:
Based on the definition of a parallelogram, we know that the diagonals bisect each other, so we know that:
UV = VS
x + 3 = 2x - 7
10 = x
Now that we know "x", we can find the length of SU:
SU = x + 3 + 2x - 7
SU = (10) + 3 + 2(10) - 7
SU = 13 + 20 - 7
SU = 33 - 7
SU = 26 meters
Answer:♣ = Vertical angles theorem
♦ =SAS
♠ =CPCTC
Step-by-step explanation:
log 32 (16)= 5 4 exponential form
Answer: _(32)(16)=(4)/(5)
Step-by-step explanation:
You draw two cards from a standard deck of 52 cards. What is the probability of drawing a club and then a diamond consecutively from the deck without replacement? A) 13 51 B) 13 105 Eliminate C) 13 204 D) 13 408
Answer:
There are 13 cards for each suit so the first fraction is 13/52 and the next one is 13/51 as there is no replacement for the first card you pulled.
Multiplying them you get: 13/52*13/51= 169/2652,
Then you divide both sides by 13 to get: 13/204
So, the answer is C.
I hope this helps!
The probability of drawing a club and then a diamond consecutively from the deck without replacement is 13/204.
Option C is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Number of cards = 52
Number of clubs = 13
Number of diamonds = 13
Now,
The probability of drawing a club.
= 13/52
And,
The probability of drawing a diamond consecutively from the deck without replacement.
= 13/51
[ There will be only 51 cards in total since we are not replacing ]
Now,
The probability of drawing a club and then a diamond consecutively from the deck without replacement.
= 13/52 x 13/51
= 13/4 x 1/51
= 13/204
Thus,
13/204 is the probability of drawing a club and then a diamond consecutively from the deck without replacement.
Learn more about probability here:
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62% of what number is 186
Answer:
300
Step-by-step explanation:
Let the number be X
62/100 × X = 186
X = 186 × 100/62
X = 300
Answer: 62% of 300 is 186
Step-by-step explanation:
62% of x = 186
62/100 x = 186
0.62x=186
×=300
Luis has $20.He buys 4 cans of tennis balls and gets $8 back as change .How much did one can of tennis balls cost?
Answer:
20-8 = 12 , he waste $12 if he got 4 cans 12 divide by 4 equal 3 so the one can cost $3
Step-by-step explanation:
Whats 33.33% into a decimal number
Answer:
0.3333
Step-by-step explanation:
To convert 33.33% to decimal, simply divide 33.33 by 100.
Answer: 0.3333
Step-by-step explanation:
33.33% = 33.33 / 100 = 0.3333.
Since 100 has 2 zeros, you count the decimal point in 33.33 forward twice.
The sum of 99 and a number is greater than 199
Answer:
Step-by-step explanation:
Let the number be n.
Then:
99 + n > 199
if you wish to solve this, subtract 99 from both sides, obtaining n > 100
Simplify the numerical expession 5-2 + 12 + 4?
Answer:
The answer is 19
Step-by-step explanation:
Answer:so easy its 19 it's right i promise you
which ordered pair is a a solution of the equation ?
y= 3x+5
A. only (2,11)
B. only (3,13)
C. both (2,11) and (3,13)
D.neither
Answer:
A
Step-by-step explanation:
when you plug in 2,11
11 = 3*2 +5 that is correct
13 = 3*3 +5 that is not correct
only 2,11 works
Answer:
A. only (2,11)
Step-by-step explanation:
what two numbers multiply into (-24) and adds up to (-10)?
Two numbers multiply into (-24) and adds up to (-10) are 2 & -12
Step-by-step explanation:
Here we need to find two numbers , with the following info:
Let us assume that two numbers are x & y .
two numbers multiply into (-24):
Two numbers are x and y , and there multiply is -24 i.e.
⇒ [tex]x(y) = -24[/tex]
two numbers adds up to (-10):
Two numbers are x and y , and there addition is -10 i.e.
⇒ [tex]x+y = -10[/tex] . .............. (1)
Let's solve this :
We know that , [tex](x+y)^2 = x^2 +y^2 +2xy[/tex]
⇒ [tex](x+y)^2 = x^2 +y^2 +2xy[/tex]
⇒ [tex](-10)^2 = x^2 +y^2 +2(-24)[/tex]
⇒ [tex]100 = x^2 +y^2 -48[/tex]
⇒ [tex]x^2 +y^2 =148[/tex]
Now,
⇒ [tex](x-y)^2 = x^2 +y^2 -2xy[/tex]
⇒ [tex](x-y)^2 = (148) -2(-24)[/tex]
⇒ [tex](x-y)^2 = (148) +48=196 = 14^2[/tex]
⇒ [tex]x-y = 14[/tex] .......... (2)
Let's solve equation 1 & 2 by adding (1)+(2):
⇒ [tex](x+y)+(x-y) = -10 +14[/tex]
⇒ [tex]2x=4[/tex]
⇒ [tex]x=2[/tex]
Putting value of [tex]x=2[/tex] in [tex]x-y = 14[/tex] :
⇒ [tex]2-y = 14[/tex]
⇒ [tex]y = -12[/tex]
Therefore, two numbers multiply into (-24) and adds up to (-10) are 2 & -12.
if a+b = 8, a²-b²=16, then ab is?
Answer:
a=5 and b=3
Step-by-step explanation:
a+b=8
okay, so the numbers that can make 8 are 4+4, 5+3, 6+2, and 7+1
Try 5+3
so plug them in
5+3=8
5*5=25
3*3=9
25-9=16
that's your answer
Fill in the blank: in the table of exponential function,————————- by the same amount each time to get to the next number
Answer: multiplies
Explain: this is because exponentially is multiplication.
The table of exponential multiplies by the same amount each time to get to the next number.
What is an exponential function?In mathematics, an exponential function is a relationship of the type y = ax, where x is an independent variable that spans the entire real number line and is expressed as the exponent of a positive number.
In another meaning, an exponential function is that function above which a variable x has imposed.
For example [tex]3^{x}[/tex] , [tex]7^{x}[/tex] like that.
Let a general exponential function [tex]a^{x}[/tex] where a is constant.
Let x = 1,2,3,4,5....
At x = 1 ⇒ a¹ = a
At x = 2 ⇒ a² = a × a = previous numebr × (a)
At x = 3 ⇒ a³ = a² × a = previous number × (a)
So,
It is clear that in exponential function each term multiplies the same amount each time to get to the next number.
For more about exponential function,
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10 is decreased by four times the quantity of 8-3. One is an added to that result.
Bobby catches 8 passes in 3 football games. At this rate, how many passes does he
catch in 15 games?
Answer:
40 passes
Step-by-step explanation:
we know that
Bobby catches 8 passes in 3 football games
so
using proportion
Find out how many passes does he catch in 15 games
[tex]\frac{8}{3}=\frac{x}{15}\\\\x=8(15)/3\\\\x=40\ passes[/tex]
Answer: 40 passes
Step-by-step explanation:
Hi, to answer this we have to use proportions:
Proportion = Passes catched/ football games
Bobby catches 8 passes in 3 football games: 8/3
For 15 games: x/15
8 /3 = x/15
Solving for x
(8/3)15 =x
40 = x
He catches 40 passes in 15 games.
Feel free to ask for more if needed or if you did not understand something.
Cindy rode her bicycle 6 miles less than four times the number of miles that Scotty road. If Cindy rode his bicycle 42 miles, how many miles did Scotty ride?
Answer:
12
Step-by-step explanation:
42+6=48
48/4=12
During a week, for every 2 miles that Leigh runs, she walks 3 miles. How many miles will Leigh walk if she runs 10 miles?
Answer:
15
Step-by-step explanation:
2:3
X2 4:6
X5 10:15
Answer:
15 miles
Step-by-step explanation:
Divide 10 by 2, which equals 5. This gives you the amount of times she walks. Thus, if you multiply 3 miles times 5 (the amount of times she walks) it equals 15.
what is the square root of -1? O -i O i O -1 O 1
Answer:
Option B, i
Step-by-step explanation:
sqrt(-1) is i
Answer: Option B, i
Answer: i got this square root(negative 1) =
i
Step-by-step explanation:
f(4) if f(x) = 3x - 1
Answer:
f(4) = 11
Step-by-step explanation:
To evaluate f(4) substitute x = 4 into f(x)
f(4) = 3(4) - 1 = 12 - 1 = 11
Concrete Works manufactures and sells cement trucks. For the previous year, their taxable income was $6,775,989.00. They have
to pay a federal tax rate of 35%, a state tax rate of 8%, and a local tax rate of 2%. As part of their loan package for the business, the
company has to pay $3,200,000.00 after the taxes are paid each year to go against the principal amount of the loan. The profit after
taxes and principal reduction can be determined by the equation
p() = 0.586041 - 3,200,000,
where x is their taxable income. How much profit does the company have after paying taxes and reducing the principal on the loan?
You have the right equation.
p(x) = 0.586041x - 3,200,000
3200000 of course represents the deduction from the loan
0.586041 - this number represents the amount of money left after taxes (58.6041% of the total is left)
We get this by taking into account all the taxes on top of another...
35% federal tax = 65% left
35% federal tax and 8% state tax = 65% x 92% left
35% federal tax and 8% state tax and 2% local tax = 65% x 92% x 98% left = 58.6041%
To get the profit plug in the given taxable income for x.
p(6775989) = 0.586041(6775989) - 3,200,000 = $771,007.37 approx.
answer: $771,007.37 approx.
PLEASE HELP ME!!!!!!!!
A polygon has the following coordinates: A(3,-3), B(-3,-2), C(-5,1), D(-5,4), E(-4,6), F(-2,6), G(3,2). Find the length of CD.
A. 4 units
B. 6 units
C. 3 units
D. 5 units
The right answer is Option C: 3 units
Step-by-step explanation:
Given coordinates are;
A polygon has the following coordinates: A(3,-3), B(-3,-2), C(-5,1), D(-5,4), E(-4,6), F(-2,6), G(3,2).
For finding length of CD, we will find the distance between C and D.
C(-5,1) and D(-5,4)
Here;
[tex]x_1=-5, y_1=1\\x_2=-5, y_2=4[/tex]
Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
[tex]Distance=\sqrt{(-5+5)^2+(4-1)^2}\\Distance=\sqrt{(0)^2-(3)2}\\Distance=\sqrt{(3)^2}\\Distance = 3[/tex]
Therefore;
The length of CD is units.
The right answer is Option C: 3 units
Answer:
2
Step-by-step explanation:
how so you slove 4^2x-1 = 8^x+2 ?
Answer:
x = [tex]\frac{ln(16)}{ln(2)}[/tex]
Step-by-step explanation:
[tex]4^{2x-1} =8^{x+2}[/tex]
ln both sides like you would add the same number to both sides to keep the equation equivalent
[tex]ln4^{2x-1} = ln 8^{x+2}[/tex]
using log rules, exponents can be brought down as a constant multiplying ln
[tex](2x-1)ln(4) =(x+2)ln(8)[/tex]
use distributive property to remove parentheses
2xln(4) - ln(4) = xln(8) + 2ln(8)
isolate x
2xln(4) - xln(8) = 2ln(8) + ln(4)
rewrite the logs using log rules: ln(x) - ln(y) = ln([tex]\frac{x}{y}[/tex]) and the exponent rule stated above
xln([tex]4^{2}[/tex])-xln(8) = ln([tex]\frac{8^{2} }{4}[/tex])
factor out x
x(ln[tex]4^{2}[/tex]-ln8) = ln([tex]\frac{8^{2} }{4}[/tex])
again use log rules: ln(x) - ln(y) = ln([tex]\frac{x}{y}[/tex])
x* [tex]ln(\frac{4^{2} }{8}[/tex][tex])[/tex]= ln([tex]\frac{8^{2} }{4}[/tex])
now simplify the stuff inside the ln parentheses
x*ln(2) = ln(16)
x = [tex]\frac{ln(16)}{ln(2)}[/tex]
at a local school the ratio of boys to girls was 8 to 9 if there were 117 girls how many boys were enrolled in the school?
i need help
The number of boys in the schools is 104.
Step-by-step explanation:
Given,
The ratio of boys and girls is 8:9
Number of girls = 117
Let us take,
Number of boys = 8x
Number of girls = 9x
To find the number of boys.
According to the problem,
9x = 117
or, x = [tex]\frac{117}{9}[/tex]
= 13
Hence, the number of boys = 13×8 = 104
CAN SOMEBODY PLEASE HELP ME!!!!!!!!!!
The answers to the blanks are
1. 600,
2. 120,
3. 120,
4. 180.
Explanation:
The fence means perimeter around the court. So a tennis court's perimeter is 600 feet fence. The perimeter of a rectangle is 2 times the sum of the rectangle's length and the rectangle's width.It is given that length equals 60 more than width i.e. l = w + 60, where l is the length of the court and w is the width of the court.The perimeter of a court = 600 = 2 (l + w) = 2l + 2w = 2 (w +60) + 2w, this becomes, 2w + 120 + 2w = 600; 4w = 480, w = 120.Since l = w + 60, l = 120 + 60 = 180. So length of a court is 180 feet and the width of a court is 120 feet.how do you work out how many 1/3 cup servings are in 6 cups of pecans
Answer:
18 servings
Step-by-step explanation:
Because 6 divided by 1/3 is the same as 6*3, we can just do it that way so it makes more sense.
6*3= 18
And there you have your answer!
solve: 43x = 42
a: x= -3/2
b: x= -2/3
c: x=2/3
d: x=3/2
Answer: C
it's C) 2/3
Answer:
C! X = 2/3
Step-by-step explanation:
Next part on edge is
(C) X=1
What is the value of y in the equation,
y = -3x + 4, if x = 3?
Answer:y= -5
Step-by-step explanation:
-3(3)+4= -5
-3(3)= -9
-9 + 4= -5
Answer:
-5
Step-by-step explanation:
y = -3x + 4
If x = 3
Plug the value into the expression
We have
y = -3(3) + 4
= -9 + 4
= -5
-7=z/-6 solve for z pls help it 7th grade math and it’s on khan ;cc
Answer:
42
Step-by-step explanation:
I think it's 42 because 42/-6 is -7
Answer:
z = 42
Step-by-step explanation:
Given -7 = z/-6
Cross multiply
-7 x -6 = z
Negative times negative gives you positive.
42 = z
z = 42