[tex]\\ \sf\Rrightarrow (10101)_2[/tex]
[tex]\\ \sf\Rrightarrow 1\times 2^0+0\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4[/tex]
[tex]\\ \sf\Rrightarrow 1+4+16[/tex]
[tex]\\ \sf\Rrightarrow (21)_{10}[/tex]
Done!
What is the perimeter and area of this shape
Would help if you explained why
Will give brainliest
Answer:
area: 133.5 m²perimeter: 52.02 mStep-by-step explanation:
AreaThe area of each trapezoid can be found using the relevant formula:
A = 1/2(b1 +b2)h . . . . b1, b2 are the base lengths; h is the height
For the top trapezoid, the height is 13 m-7 m = 6 m, so the area is ...
A = 1/2(8 m +5 m)(6 m) = 39 m²
The area of the bottom trapezoid is ...
A = 1/2(10 m +17 m)(7 m) = 94.5 m²
The area of the shape is the sum of the areas of the two trapezoids.
area = 39 m² +94.5 m² = 133.5 m² . . . . area of the figure
__
PerimeterThe horizontal lengths are all marked, but the slant lengths are not. There are no angles or other information given that can help determine the slant lengths. In order to answer the question, we can assume that the trapezoids are isosceles. Then the base of the right triangle shown in the top trapezoid is (8 -5)/2 = 1.5 m. The height is 6 m. The Pythagorean theorem tells us the slant length is ...
s1 = √(1.5² +6²) ≈ 6.1847 . . . . meters
Similarly, the base length of the right triangle shown next to the bottom trapezoid is (17 -10)/2 = 3.5 m. The height is 7 m. The slant length of that one is ...
s2 = √(3.5² +7²) ≈ 7.8262 . . . . meters
__
The perimeter is the sum of the lengths of the sides. Note that the 17 m dimension includes 8 m that are not part of the boundary of the figure. The sum of lengths of the horizontal edges is ...
10 m +(17 -8 m) +5 m = 24 m
The sum of the lengths of the slant edges is ...
2·s1 +2·s2 = 2(6.1847 +7.8262) ≈ 28.02 . . . . meters
The perimeter of the figure is the sum of horizontal lengths and slant lengths:
24 m + 28.02 m = 52.02 m . . . . perimeter of the figure
Hamilton's rule is "Add 4." If he starts with 8, which number would be the 5th number in his pattern?
A. 28
B. 24
C. 20
D. 12
Answer:
B. 24
Step-by-step explanation:
If N1 = 8;
N1 + 4
8 + 4 = 12 =N2
N2 + 4
12 + 4 = 16 = N3
N3 + 4
16 + 4 =20 = N4
N4 + 4
20 + 4= 24 = N5
The value of y varies directly with x. If x = 8, then y = 96. What is the value of x when y = 168?
Answer:
x = 14Step-by-step explanation:
Direct variation equation:
y = kx, where k is constant of variationGiven:
96 = 8kk = 96/8k = 12The equation is:
y = 12xFind the value of x when y = 168:
168 = 12xx = 168/12x = 14Using the slope formula, find the slope of the line through the given points.
(9.7) and (6.4)
What is the slope of the line? Select the correct choice below and if necessary, fill in the answer box to complete your choice.
O A. The slope of the line is (Type an integer or a simplified fraction.)
OB. The slope of the line is undeined.
Help pls
Answer: Start with y2-y1/x2-x1
-4+7/-6+3
Answer=2.5 or 5/2
DONT TRUST ME THOUGH
Step-by-step explanation:
help me no bots I need help pls give me all 3 answers!
Answer:
y= -10x+70
slope being -10 and y-intersept being 70
Step-by-step explanation:
Answer:
Equation: y=-10x+70
Slope: -10
Y-Intercept: 70
Hope this helps!
Step by step? Just ask.
Doubt? --> comment section.
Happy Holidays! (✿◡‿◡)
A triangle has sides represented by 9, x, and x + 2. If the
perimeter is 35, find the length of the longest side.
Answer:
14.
Step-by-step explanation:
1) if the sides of the given triangle are 'a'=9, 'b'=x and 'c'=x+2, then its perimeter can be written as: P=a+b+c or P=9+x+x+2;
2) if according to the condition P=35, then 9+x+x+2=35;
2x=24; ⇒ x=12;
3) if x=12, then a=9; b=12 and 14;
4) finally, c=14 - the required longest side.
Find the simple interest on Rs. 4500 for 6 months at
the rate of 5 paise per rupee per month.
helping help
PLEASE HELP WORTH 50 POINTS!
Answer:
the question was not correctly solved
Step-by-step explanation:
A=½bh
23=½*b*h
²/1×23= bh
²/1×23=6h
46=6h
h=7.666666667 / h=23/3
I hope this is helpful
3a2 + 2a + 2a2 is equal to
Answer:
5a^2 +2a
Step-by-step explanation:
Like terms are ones with the same exponent of x. They can be combined.
3a^2 +2a +2a^2
= (3a^2 +2a^2) +2a
= (3+2)a^2 +2a
= 5a^2 +2a
5a² + 2a
Step-by-step explanation:
[tex] ⇒ \: \rm 3 {a}^{2} + 2a + 2 {a}^{2} [/tex]
[tex]⇒ \: \rm(3 + 2) {a}^{2} + 2a[/tex]
[tex] \rm ⇒ \: 5 {a}^{2} + 2a[/tex]
In ΔFGH, f = 830 inches, g = 460 inches and h=500 inches. Find the measure of ∠H to the nearest degree.
Answer:
32 degrees
Step-by-step explanation:
The law of cosines can be used for this:
h^2 = f^2 +g^2 -2fg·cos(H)
cos(H) = (f^2 +g^2 -h^2)/(2fg)
cos(H) = (650,500/763,600)
H = arccos(6505/7636) ≈ 31.5826°
Sarahi has p number of pencils, if she finds 2 more and then triples her amount she still has less than Damaris
who has 40. Write an inequality for how many pencils Sarahi has.
Answer:
I believe the inequality would be: p+2x3<40
Step-by-step explanation:
Not exactly sure if it is correct but p (number of pencils Sarahi has) added too the 2 more she finds, and then x3 (when she triples her amount). This is less then (<) what Damaris has (which is 40) so it would be p+2x3<40.
Again not sure if its completely correct, but i hope it helps :,)
A town population of children increased from 367 to 421 during the past year which equation showes how to find the percentage increase
Answer:
5.7%
Step-by-step explanation:
421-367=24
24/421x100=5.7%
need help with these problems asap!!
Answer:
hehehehehehe
Step-by-step explanation:
ssa
Will mark brainliest
Answer:
Quadrant 2 (-2,1)
Step-by-step explanation:
Answer:
you anwser would be quadrant 3 please mark brainliest
Step-by-step explanation:
x/4-6=10 PLEASE HELP I NEED HELP ASAP
[tex]\huge \bf༆ Answer ༄[/tex]
Here's the solution ~
[tex] \sf \dfrac{x}{4} - 6 = 10[/tex][tex] \sf \dfrac{x}{4} = 10 + 6[/tex][tex] \sf \dfrac{x}{4} = 16[/tex][tex] \sf x = 16 \times 4[/tex][tex] \sf x = 64[/tex]Value of x is 64
The accompanying table shows the value of a car over time that was purchased for 14000 dollars, where x is years and y is the value of the car in dollars. Write an exponential regression equation for this set of data, rounding all coefficients to the nearest hundredth. Using this equation, determine the value of the car, to the nearest cent, after 12 years.
Simplify.
(7⁴)²
(EXPONENT FORM ONLY)
If a store sells 300 flat screen TVs and 30% of high definition, how many high definition TVs were sold?
Hey yall I need help on this question pls give explanation
Answer:
0.5 liters
Step-by-step explanation:
If they were to get 0.25 then they would still be missing some more for the recipe. If they get 0.5 then they would have just a tad bit leftover. Less than 0.027 liters. Which is the smallest amount that they can have left over. 1liter and 1.5liters are over twice the amount of the recipe. So that wouldn't be a wise choice unless they wanted to make double or triple the recipe.
Answer:
The answer is 0.5 liter
Step-by-step explanation:
Because 0.25 liter ÷ 0.5 liter = 0.5 liter
Your class is learning to tie knots. Each student needs a piece of rope that is 3/4 yard long. How many yards of rope are needed for the 20 students in your class?
Answer:
15
Step-by-step explanation:3/4*20=15
Given that x=2, y=5 and z=3 evaluate the value of x-2y
Answer:So firstly, plug in the numbers into the expression:
Next, solve the exponents:
Next, solve the multiplications:
Lastly, combine everything, and your answer will be -23.
Step-by-step explanation:
Answer:
-23
Step-by-step explanation:
By substituting the given numeric values for x,y and z into the expression.
That is
(3)3−2(5)2−3(3)3+(−3)4
------------------------------------------------
I'll evaluate each term separately.
(3)3=3×3×3=9×3=27
2(5)2=2×(5×5)=2×25=50
3(3)3=3×(3×3×3)=3×27=81
(−3)4=[(−3)×(−3)]×[(−3)×(−3)]=9×9=81
-------------------------------------------------
Replace these values back into the expression , noting the values which are subtracted.
⇒27−50−81+81=27−50=−23
A triangle has a perimeter of 29 inches. Two of the other sides measure 9 inches and 9 inches. What is the length of the third side?
Answer:
Step-by-step explanation:
The perimeter = side1 + side2 + side3
P = 29
side1 = 9
side2 = 9
29 = 9 + 9 + side3
29 = 18 + side3 Subtract 18 from both sides
11 = side 3
Answer:
hb≈7.12in
a Side
9
in
c Side
9
in
P Perimeter
29
in
γ
c
a
h
b
b
h
b
h
b
c
γ
a
b
a
c
b
γ
P
c
γ
a
b
A
Using the formulas
A=hbb
2
A=s(s﹣a)(s﹣b)(s﹣c)
P=a+b+c
s=a+b+c
2
Solving forhb
hb=﹣﹣P4+4P3a+4P3c﹣4(Pa)2﹣12P2ac﹣4(Pc)2+8Pa2c+8Pac2
2a﹣2P+2c=﹣﹣294+4·293·9+4·293·9﹣4·(29·9)2﹣12·292·9·9﹣4·(29·9)2+8·29·92·9+8·29·9·92
2·9﹣2·29+2·9≈7.1239in
Step-by-step explanation:
You are given a picture that is 2 inches wide and 3 inches tall. You have to make a
poster that is 12 inches wide. How many inches tall would the poster be? *
O 10 inches
12 inches
15 inches
O 18 inches
Answer: 18 inches
Step-by-step explanation:
2 x 6 = 12 inches (wide)
3 x 6 = 18 inches (tall)
Joshua found out that there is a$25 nonrefundable equipment fee in addition to the hourly rates. How does this requirement change the mathematics of the situation?
Answer:
Y=hx+25
Step-by-step explanation:
y=total price paid
h=hourly rate
x=number of hours
25=inital fee
110 < 2x + 10 pls helppppppp
110<2x+10
Step 1: Flip the equation.
2x+10>110
Step 2: Subtract 10 from both sides.
2x+10−10>110−10
2x>100
Step 3: Divide both sides by 2.
x>50
Step-by-step explanation:
f(x) = -2x - 1; Find f (x - 4)
Answer:
B
if f(x-4) then we should put x-4 where the x is spouse to be so;
-2(x-4)-1 =
-2x + 8 - 1 =
-2x + 7
work out m and c for the line: 5x-3y+4=0
Answer:
[tex]m = \frac{5}{3}[/tex]
[tex]b = \frac{4}{3}[/tex]
Step-by-step explanation:
The question requires you to rearrange the equation into the form:
y = mx + c
Which is the straight line equation, meaning rearrange for y:
Add 3y to both sides of the equation:
5x - 3y + 4 = 0
5x - 3y + 4 + 3y = 0 + 3y
5x + 4 = 3y
Divide both sides of the equation to isolate y:
[tex]\frac{5x}{3} + \frac{4}{3} = \frac{3y}{3}[/tex]
[tex]y = \frac{5}{3}x + \frac{4}{3}[/tex]
This means that [tex]m = \frac{5}{3}[/tex] and [tex]b = \frac{4}{3}[/tex].
Hope this helps!
Answer:
m = 5/3 and c = 4/3.
Step-by-step explanation:
5x - 3y + 4 = 0
-3y = -5x - 4
y = (-5/-3)x - 4/-3
y = 5/3 x + 4/3
y = mx + c
So m = 5/3 and c = 4/3
mikah bought a dozen cupcakes for her friends birthday. if she paid 3.48 dollars for the cupcakes what was the cost per cupcake. explain please
Rewrite using the distributive property and the GFC
13+26 ?
Answer: 13 ( 1 + 2 )
Step-by-step explanation:
13 ( 1 + 2 ) = 13 + 26
One step equations- solve for "X" or find it. Please help
3x=-12
14x=280
x+6=-5
x+27=125
x-324=760
x-43=35
x/6=-24
x/13=214
26-x=47
-x/3=-998
I know, I always put 100 points, I just like giving extra points :) Merry almost Christmas also!!!
Since these are one-step equations we only have one step.
To solve, these single steps will include the following:
[1] addition (+)
[1] subtraction (-)
[2] division (/ or ÷)
[2] multiplication (* or x)
How do we answer these? We do the opposite of what is shown. If we have addition in 4 + x = 6, we will use subtraction to solve. The numbers one (1) and two (2) above show the "sets" of which we use.
[] 3x = -12
-> -4
We have multiplication so we will divide -12 by 3 for an answer of -4
[] 14x = 280
-> 20
We have multiplication so we will divide 280 by 14 for an answer of 20
[] x + 6 = -5
-> -11
We have addition so we will subtract 6 from -5 for an answer of -11
[] x + 27 = 125
-> 98
We have addition so we will subtract 27 from 125 for an answer of 98
[] x - 324 = 760
-> 1,084
We have subtraction so we will add 324 to 760 for an answer of 1,084
[] x - 43 = 35
-> 78
We have subtraction so we will add 43 to 35 for an answer of 78
[] x/6 = -24
-> -144
We have division so we will multiply 6 by -24 for an answer of -144
[] x/13=214
-> 2,782
We have division so we will multiply 13 by 214 for an answer of 2,782
[] 26 - x = 47
-> -21
We have subtraction so we will add x to both sides to reach the equation 26 = 47 + x
Then, we have addition so we will subtract 47 from 26 to get an answer of -21
[] -x/3=-998
-> 2,994
First, we will move the negative to the bottom of the fraction, which looks like this: [tex]\frac{-x}{3} = \frac{x}{-3}[/tex]
Then, we have division so we will multiply -3 by -998 for an answer of 2,994
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather