Answer:
(i) 17[tex]\sqrt{2}[/tex]
(ii) 9[tex]\sqrt{6}[/tex]
(iii) 0
Step-by-step explanation:
(i) 7[tex]\sqrt{2}[/tex] + 5[tex]\sqrt{2}[/tex][tex]\sqrt{4}[/tex] = 7[tex]\sqrt{2}[/tex] + 10[tex]\sqrt{2}[/tex] = 17[tex]\sqrt{2}[/tex]
(ii) 15[tex]\sqrt{6}[/tex] - [tex]\sqrt{216}[/tex] = 15[tex]\sqrt{6}[/tex] - [tex]\sqrt{36}[/tex]·[tex]\sqrt{6}[/tex] = 9[tex]\sqrt{6}[/tex]
(iii) 8[tex]\sqrt{45}[/tex] - 8 [tex]\sqrt{20}[/tex] + [tex]\sqrt{245}[/tex] - 3[tex]\sqrt{125}[/tex] = 8[tex]\sqrt{9}[/tex]·[tex]\sqrt{5}[/tex] - 8[tex]\sqrt{4}[/tex]·[tex]\sqrt{5}[/tex] + [tex]\sqrt{49}[/tex]·[tex]\sqrt{5}[/tex] - 3[tex]\sqrt{25}[/tex]·[tex]\sqrt{5}[/tex] =
24[tex]\sqrt{5}[/tex] - 16[tex]\sqrt{5}[/tex] + 7[tex]\sqrt{5}[/tex] - 15[tex]\sqrt{5}[/tex] = 8[tex]\sqrt{5}[/tex] - 8[tex]\sqrt{5}[/tex] = 0
the mean of the ages of 5 brothers is 13 years. If the ages of four of the brothers are 12, 16, 14, and 8, how old is the fith brother
In one round of a television game show, five questions are asked. The second question is worth twice as much as the first. The third question is worth three times as much as the second. The fourth question is worth four times as much as the third. The fifth question is worth five times as much as the fourth. If the fifth question is worth $12,000, what is the first question worth?
Answer:
$100
Step-by-step explanation:
1st q. 2nd q. 3rd q. 4th q. 5th q
x. 2x. 3(2x)=6x. 4(6x)=24x. 5(24x)=120x
100. 200. 600. 2400. 12000
since the 5th q was worth 12000 we know:
120x = 12000
x = 100
Combine the like terms to create an equivalent expression:plsss helpp
Here is an expression: 3⋅2 Evaluate the expression when is 1. Evaluate the expression when is 4.
Answer:
1.) 5
2.) 14
Step-by-step explanation:
As given,
the expression - 3x + 2
1.)
Evaluate the expression when x is 1
⇒ 3x + 2 = 3(1) + 2 = 3+2 = 5
2.)
Evaluate the expression when x is 4
⇒ 3x + 2 = 3(4) + 2 = 12+2 = 14
1. Find the GCF for 14ab- 42a
Answer:
14(ab- 3a)
Step-by-step explanation:
14 times ab is 14ab and 14 times 3a is 42a
the sum of 18 + 45 is a multiple of which sum? (3 + 9) (2 + 5) (1 + 3) (9 + 9)
Answer:
(2 + 5)
Step-by-step explanation:
First, calculate the sum of 18+45. This is 63.
Then, calculate all sums.
3 + 9 = 12
5 + 2 = 7
1 + 3 = 4
9 + 9 = 18
63/ 12 = 5.25
63/7 = 9
63/4 = 15.75
63/18 = 3.5
63/7 results in a positive integer, 9. All other values result in positive integers with decimals. Therefore, the sum of 5 + 2 has a multiple of the sum of 18 +45.
Answer:
2+5 HOPE THIS HELPSSS
Step-by-step explanation:
1.
(3x + 12)
(11x)
This is geometry could plz help me
Answer:
x = 12°
Step-by-step explanation:
3x + 12° + 11x = 180° {being co-interior angles }
12° + 14x = 180°
14x = 180° - 12°
14x = 168°
x = 168° / 14
x = 12°
Answer:
12
Step-by-step explanation:
( 3x + 12 ) + 11x = 180°
14x = 180 - 12
14x = 168
x = 168÷14
x = 12
Given g(c) = -x + 5, solve for x when g(x) =
-2
Answer:
x=7
Step-by-step explanation:
Find a polynomial function whose graph passes through (7,11), (10,-11), and (0,3)
Answer:
there right
Step-by-step explanation:
Answer:
Step-by-step explanation:
find the area of quadrilateral which all side is 4 cm and diagonal one is 7 and diagonal two is 6
Step-by-step explanation:
Your answer...... 21 cm^2
WANT MORE THEN FOLLOW ME, LIKE & MARK MY ANSWER AS BRAINLIST ANSWER
Answer:
the quadrilateral is a rhombus as its all four sides are equal (of 4cm) each
Area of rhombus = 1/2 (digonal 1 × digonal 2)
= 1/2 ( 7×6 )
= 1/2 ( 42)
= 21
hence area of quadrilateral is 21 cm square
Please help as soon as you can!
Answer:
C. y= 105(1+0.05)^x
Step-by-step explanation:
y = a(1 + r)t the formula
Can someone pleaseeee help and if you’re correct I’ll give u brainlist!
Answer:
i would say no
Step-by-step explanation:
i would say no because quadrilateral FGIH is equal to 120 and quadrilateral SRTQ is equal to 134 and also their areas are indifferent FGIH's being 875 and SRTQ's being 1120
please let me know if this was wrong
hope this helps :) have a nice day !!
A couple took out a $5,000 loan from the bank. The loan had a simple interest rate of 7.5% per year. By the end of the loan, the couple had paid $2,250
interest.
What was the length of the couple's loan?
Answer:
6 years
Step-by-step explanation:
t=2250/375
t=6
Hence time of the loan will be 6 years
Answer:
6 years
Step-by-step explanation:
5000 x 0.075 = 375
2250/375 = 6
therfore it is 6 years worth of interest
15. Considera um losango em que uma diagonal tem 8cm e cuja área é 12cm^2. Qual é o comprimento do lado do losango, arredondado às décimas? Nota: Indica apenas o valor numérico usando algarismos. (Não escrevas unidades de medida na resposta.)
Answer:
4,3cm
Step-by-step explanation:
Passo 1
Um losango tem 2 diagonais, cujos comprimentos não são iguais
Temos que encontrar o comprimento da segunda diagonal
A fórmula é dada como:
Área de um losango = 1/2 (d1 × d2)
Área do losango = 12 cm²
d1 = Comprimento da primeira diagonal = 8cm
d2 = Comprimento da segunda diagonal = x
12 = 1/2 (8 × x)
12 = 1/2 (8x)
12 = 4x
x = 12/4
x = 3cm
O comprimento da segunda diagonal = 3 cm
Passo 2
A fórmula do comprimento da lateral de um losango é dada como:
s = √d1² + d2² / 2
d1 = 8cm
d2 = 3 cm
s = √8² + 3² / 2
s = √64 + 9/2
s = √73 / 2
s = 8,5440037453 / 2
s = 4,2720018727 cm
Aproximadamente = 4,3 cm
plz answer only if u know ur correct
Answer:
blue, y=150x
Step-by-step explanation:
x increased by 2 and y increased by 300 so y=150x
Answer:
Y=150x, blue, diamond, yeah
Step-by-step explanation:
On the orange line, x is increased by 2 and y is increased by 300. In this case, y = 150 times x. So y=150x. I hope this helped and I'm not really sure how else to explain it.
1. What is the ratio of cow to ducks? (2 marks)
Plz help me
Answer:
i guess 10 i hope this is the right answer
Answer:
Step-by-step explanation:
its 1 : 4
i need help finding the system of inequalities!
Answer:
35
Step-by-step explanation:
h
Sam had a bank account balance of $-\$32$ . He deposited $\$28$ into his account.
Which statement is true about his balance after making the deposit?
Answer:
After making the deposit, he/she still has a bank account of -4 dollars.
Step-by-step explanation:
Fine the slope
Pls someone help me im trying to get a 100 for my hw ❤️
Answer:
-7/2isa answer or -3 1/2
Step-by-step explanation:
y=-7x/2-1
y+7/2 x+1=0
slope=-(7/2)/1=-7/2
Hi! Please let me know if you would like to trade a 5$ microsoft giftcard in exchange for a 10$ sephora one. I am 4.78 short and I would be willing to trade my 10$ sephora gift card for one.
Answer:
HAHHAHAH XD sorry jkjkjk
Step-by-step explanation:
how do you do this question? 再20至30之间，有多少个质数？A .2 B.4 C.6 D.8
Answer:
有两个，是23 和29
所以是 A
Which of the following has a quotient of 5?
A. –75 ÷ 15
B. 12 ÷ 2
C. 30 ÷ –6
D. –80 ÷ –16
Answer:
A
Step-by-step explanation:
75÷ 15=5
Can someone please tell me how to expand and simplify 4(x+1)^2?
[ i know now to expand brackets like (x+2)^2, but the 4 confuses me]
Expand the binomial first, then distribute the 4:
4 (x + 1)² = 4 (x ² + 2x + 1)
… = 4•x ² + 4•2x + 4•1
… = 4x ² + 8x + 4
Write an equation for the statement and then solve
the equation.
The width of a rectangular rectangular prism is 30 cm. This is
12 more than one-fourth of the length. Find the
volume of the prism, given the height is 20 cm.
16. Equation:
17. Volume:
Answer:
16. 30 * (30+12)/4*(L)*20
17. Volume = 6300 * Length of rectangular prism
Step-by-step explanation:
The width of a rectangular prism is 30 cm. This is 12 more than one-fourth of the length. Find the volume of the prism, given the height is 20 cm.
Let L = length of rectangular prisim W = width and H = height
16.
Volume of a rectangular prism is width * length * height
30 * (30+12)/4*(L)*20
17.
= 30 * (30+12)1/4(L)*20
= 30 * (42/4)*L * 20
= 600 * 10.5 * L
= 6300 * L
Volume = 6300 * Length of rectangular prism
A recipe calls for butter and sugar in
the ratio 2:3. If you're using 6 cups of
butter, how many cups of sugar should
you use?
Answer:
9
Step-by-step explanation:
butter and sugar
2 3
4 6
6 9,
2:3 can be timed 3 times to reach 6,
2:3 x 3 = 6:9 hope i helped!
Answer:
it would be 4
Step-by-step explanation:
6 insert it into the three in the ration u wil have to multiply 2 by itself so its four
7y+2
20
X + 8
30
Find the values of x and y in each parallelogram
Answer:
vvvvvvvvvv
24 x 56y i
Step-by-step explanation:
is the answer
The shirt was doubly marked down! There was a 25% off sale, and then an additional 10% off of that. After the mark downs, the price was $30. Which equation shows the original price of the shirt? Use S to represent original price of shirt.
Answer:
40.5
Step-by-step explanation:
i multiplied 30 with .25 which was 7.5
then i multiplied 30 with .1 which was 3
add those together 10.5
add that too 30 which is 40.5
In OPQ q=18 o=96 and P=142 find the length of p to the nearest centimeter
Answer:
1000000
Step-by-step explanation:
Answer:
111
Step-by-step explanation:
The symbol _____________ means "is similar to" and the symbol ____________ is the abbreviation for the word angle.
Answer:The symbol \sim∼ means "is similar to" and the symbol \angle∠ is the abbreviation for the word
angle.
Step-by-step explanation: i hope it is right i am sure it is
The symbol "[tex]{\sim}[/tex]" is commonly used to represent the mathematical concept of "is similar to." while "∠" represents the concept of an angle.
The symbol "[tex]{\sim}[/tex]" is commonly used to represent the mathematical concept of "is similar to." often used in mathematical equations or geometric diagrams to indicate the presence of a similarity.
On the other hand, the symbol "∠" is the abbreviation for the word "angle." In geometry, an angle is formed when two rays or line segments share a common endpoint.
Thus, the symbol "[tex]{\sim}[/tex]" is commonly used to represent the mathematical concept of "is similar to." while "∠" represents the concept of an angle.
Learn more about similarities here:
brainly.com/question/25882965
#SPJ4
The legs in the right triangle below are 12 units long what is the value of x ?
Answer:
B
Step-by-step explanation:
Because the legs of the triangle (not the hypotenuse) are equal to each other, x is 45 degrees.