Answer:
3) 161
Step-by-step explanation:
Indeed this is pretty easy :D
What we need to find is the surface area of the rectangular prism excluding the area of the hole. First, let's find out the width of the box, we can do this by using the area, the length, and the height, and we can write:
[tex]V=lhw[/tex]
(Formula to find the volume of a rectangular prism)
[tex]140=(4)(7)w\\ 140=28w\\ 5=w[/tex]
Now that we have the width, can find the area of the top part of the prism:
[tex](5)(4)=20[/tex]
The area of the top part of the prism is 20, and the circle has 1/4 of the area of that:
[tex]A_{circle} = \frac{A_{top part} }{4}\\ A_{circle} = \frac{20}{4} \\ A_{circle} = 5[/tex]
So the area of the circle is 5. Now we just need to find the surface area of the rectangular prism and subtract that result with the area of the circle:
[tex]A_{circle}=5\\ SA_{rec.pri.}=2(lh+lw+wh)\\ SA_{rec.pri.}=2((4)(7)+(4)(5)+(5)(7))\\ SA_{rec.pri.}=2(28+20+35)\\ SA_{rec.pri.}=2(83)\\ SA_{rec.pri.}=166[/tex]
Subtract these two results...:
[tex]166-5=161[/tex]
And we are done!
‼️DUE TODAY‼️
(Question in the picture)
Answer:
I Don't know
Step-by-step explanation:
I don't know I don't know I don't know
Using the formula A = l w, determine the area of a rectangle when l = 3.7 and w = 4. Group of answer choices A.) 4.1 B.) 7.7 C.) 12.7 D.) 14.8
Answer:
D 14.8
Step-by-step explanation:
A=L*W which means length times width. 3.7x4= 14.8
find the value of x²+y² if
x+y=9 xy=14
Step-by-step explanation:
It's a system of equations.
From the first one we isolate x:
x = 9-y
And we substitute in the second one:
(9-y)y = 14
-y^2 + 9y - 14 = 0
y^2 - 9y + 14 = 0
D = 25
y1/2 = (9 +- 5)/2 = 2 or 7
y = 2 => x = 7
y = 7 => x = 2
x^2 + y^2 = 7^2 + 2^2 = 53
Someone pls anwser this.
Answer:
YES, HAVE A GREAT DAYYYYYYYYYYYY!!!
Step-by-step explanation:
THX 4 THE POINTS!!!!!
y=-1/2x+5/2 Find the slope
Answer:
Here is a pic hope this helps! <3
Step-by-step explanation:
Answer:
-1/2
Step-by-step explanation:
y=-1/2x+5/2
y=mx+b
m=slope
m=-1/2
solve similar triangles (advanced)
Answer: 18/7
This approximates to 2.5714
=====================================================
Explanation:
The two triangles are similar. We can use the AA (angle angle) theorem to prove this claim.
Because [tex]\triangle ABC \sim \triangle ADE[/tex], this means:
side AB corresponds to side AD. The letters from AB are the first two letters of ABC while AD are the first two letters from ADE.side BC corresponds to DE. We have BC as the last two letters of ABC and DE the last two letters of ADEAs those bullet points above mention, the order of ABC and ADE matters to allow us to pair up the corresponding angles and corresponding sides.
From that, we can form the proportion below to solve for x
AB/AD = BC/DE
3/(3+4) = x/6
3/7 = x/6
3*6 = 7*x
18 = 7x
7x = 18
x = 18/7
You could convert this to the approximate decimal form 18/7 = 2.5714, but I think it's better to keep it as a fraction.
Factor 26r3s 52r5 â€"" 39r2s4. What is the resulting expression? 13(2r3s 4r5 â€"" 3r2s4) 13r2s(2r 4r3 â€"" 3s3) 13r2(2rs 4r3 â€"" 3s4) 13r2(26r3s 52r5 â€"" 39r2s4).
The resulting expression from the factorization of 26r³s + 52r^(5) - 39r²s⁴ is; 13r²(2rs + 4r³ - 3s⁴)
We want to factor the algebraic expression;
26r³s + 52r^(5) - 39r²s⁴
Now, we need to first find the highest common factor here and factorize out.
First of all for the letters;
The highest common factor of the letters is r²
Factors of 26 = 1, 2, 13, 26
Factors of 39 = 1, 3, 13, 39
Factors of 52 = 1, 2, 4, 13, 26, 52
The highest common factor for the 3 numbers is 13.
Thus,in total, the highest common factor for the algebraic expression is 13r².
Finally, we have;
13r²(2rs + 4r³ - 3s⁴)
Read more about factorization of algebraic expression at; https://brainly.com/question/11434122
There is no options, just a box to type in your answer. PLEASE HELP!!!! 50 POINTS AND BRAINLIEST TO CORRECT ANSWER!!!!!!!!!
Answer:
16.4 TRUST ME
Step-by-step explanation:
Mark as brainliest
1
D
Question 1
Adding the complex numbers 7 - 6i and —3 + 8i is equivalent to the operation
(7 – 6) + (-3+8) i.
(6x²+2x-1)-(8x²-x-5)
Answer:
-2x^2 + 3x + 4
Hope this helps. :D
Step-by-step explanation:
Pls give brainliest.
solve similar triangles (advanced)
Answer:
x = 5
Step-by-step explanation:
Thales' theorem
[tex]\frac{9}{3} =\frac{15}{x}[/tex]
[tex]x=\frac{(15)(3)}{9} =\frac{45}{9} =5[/tex]
hope this helps
-1/3 x + 5 ≤ 2 answerrrrrrrrrrrr
Answer: x ≥ 9
Step-by-step explanation: -1/3x + 5 ≤ 2
-1/3x + 5 -5 ≤ 2 - 5
-1/3x ≤ -3
-1/3x/(-1/3) ≤ -3/(-1/3)
x ≤ -9
x ≥ 9
Answer: Inequality form X >- 9
Step-by-step explanation:
isolte the varible by dividing each side by factors that dont cotain the variable
9 children win $20 each. Then the same 9 children win $10 each. How much combined money did each child win
Answer:
$270 in all
Just multiply 9x20 and 9x10 and add them together
There are 6 triangles and 4 circles. What is the
simplest ratio of circles to total shapes?
Answer:
4/10
Step-by-step explanation:
4:10
as there are 4 circles, and 10 total (6 + 4)
simplify by diving by 2.
therefore the answer is,
2:5
(I guess, this could be simplified further, but it wouldn't be a whole number).
What is the correct classification of the system of equations below?
14x + 2y= 10
y+ 7x=-5
A.
parallel
B.
coincident
C.
intersecting
Answer:
parallel
B.
coincident
C.
intersecting
Answer:
I think it's parallel, because they have the same gradient. parallel lines always have the same gradient
45/100 in its simplest form
Answer:
9/20
Step-by-step explanation:
5×9=45
5×20=100
we need to convert it in lowest term by dividing it..
Solve:
3.7x + 1.2 = 5.4x - 6.3
Simplify the expression 6C5.
a.6.
b. 24
C. 30
d. 720
=====================================================
Explanation:
Plug n = 6 and r = 5 into the nCr combination formula
[tex]_n C _r = \frac{n!}{r!*(n-r)!}\\\\_6 C _5 = \frac{6!}{5!*(6-5)!}\\\\_6 C _5 = \frac{6!}{5!*1!}\\\\_6 C _5 = \frac{6*5*4*3*2*1}{5*4*3*2*1*1}\\\\_6 C _5 = \frac{720}{120}\\\\_6 C _5 = 6\\\\[/tex]
Or you could use the shortcut
[tex]_n C _{n-1} = n\\\\[/tex]
Yet another path you could take is to use Pascal's Triangle. Locate the row that starts with 1,6,... and then locate the second to last item. That value in the triangle is 6.
A real world interpretation is to consider having 6 people and you are selecting 5 of them to form a group where order doesn't matter. How many ways are there to do this? Well there are 6 such ways because there are 6 ways to leave someone out of the group.
Brady rode his bike 70 miles in 4 hours. He rode at an average speed of 17 mph for t hours and alah
respeed of 22 mph for the rest of the time. How long did Brady
ride at the slower speed? Use the variablet to
represent the time, in hours, Brady rode at 17 mph.
Answer:66 slower speed
Step-by-step explanation:
The exchange rate at the post office is £1 = €1.17. How many euros do I get for £280?
Answer:
327.21 euros.
Step-by-step explanation:
Find the roots of the equation
x^2 +7= 2x
express your answer in simplest a +bi form
[tex]x^2+7=2x\\\\\implies x^2 -2x +7 =0\\\\\text{Apply quadratic formula,}~ x =\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{in this case,}~ a = 1, b= -2 ~\text{and}~ c = 7\\\\\\x= \dfrac{-(-2) \pm \sqrt{(-2)^2 -4\cdot 1 \cdot 7}}{2\cdot 1}\\\\\\\implies x =\dfrac{2 \pm \sqrt{-24}}{2}\\\\\\\implies x = \dfrac{2 \pm i\sqrt{24}}2\\\\\implies x =\dfrac{2 \pm i2\sqrt{6}}2\\\\\implies x = \dfrac{2\left(1 \pm i \sqrt 6\right)}2\\\\\implies x = 1 \pm i\sqrt 6\\\\[/tex]
[tex]\text{Hence,}~ x = 1-i\sqrt 6 ~\text{or}~ x = 1+i\sqrt 6[/tex]
A store owner discounted some silver coat racks from $625 to $405. What percentage is the discount?
Answer: 64.80% not 100% positive if i did that math right but thats what i got
Step-by-step explanation:
38.8679
Step-by-step explanation:
Challenge question? Thanks.
Answer:
x=15
Step-by-step explanation:
the basic property is: AB/AD=BC/CD, for more info see the attachment.
When we divide 1800 birr to three brothers in the ratio 2:3:1, what is the smallest share?
Answer:
300
Step-by-step explanation:
2+3+1=6
1800=6 parts
1 part=1800/6=300
The smallest share among the three brothers is 300 birrs.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given that, we divide 1800 birrs to three brothers in the ratio 2:3:1,
Let the amount they hold be 2x, 3x and x
Therefore, 2x+3x+x = 1800
6x = 1800
x = 300
Hence, The smallest share among the three brothers is 300 birrs.
For more references on ratios, click;
https://brainly.com/question/13419413
#SPJ2
Please help I don't know how to do this
Answer:
(a) (2x +7), (x -4)
(b) (-7/2, 0), (4, 0)
Step-by-step explanation:
(a)When looking for integer factors of a quadratic of the for ax² +bx +c = 0, it is useful to start by looking for factor pairs whose product is a·c and whose sum is b.
Here, that means you're examining the factors of 2·(-28) = -56, and looking for a pair that have a sum of -1. We can start by examining the ways that -56 can be factored:
-56 = -56(1) = -28(2) = -14(4) = -8(7)
Sums of these factor pairs are -55, -26, -10, -1, so it is the last pair we're interested in.
At this point, you can rewrite the x-term using these factors and then factor the quadratic by pairs.
2x² -8x +7x -28 = 0 . . . . . . . use -x = -8x+7x
(2x² -8x) +(7x -28) = 0 . . . . group into pairs of terms
2x(x -4) +7(x -4) = 0 . . . . . . factor each pair of terms
(2x +7)(x -4) = 0 . . . . . . . . . the factored equation
The factors of this equation are (2x +7) and (x -4).
__
(b)The x-intercepts are the values of x that make the factors zero.
2x +7 = 0 . . . looking for x that makes the first factor zero
2x = -7 . . . . . subtract 7
x = -7/2 . . . . divide by the coefficient of x
__
x -4 = 0 . . . . looking for x that makes the second factor zero
x = 4 . . . . . . add 4
The x-intercepts are x = -7/2 and x = 4.
[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
[tex]\huge\bold\orange{QUESTIONS:}[/tex]
3. Given this quadratic equation, 2x²-x-28= 0.
(a) List the factors of this equation.
(b) Determine the x-intercepts
[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
[tex]\huge\bold\orange{ANSWER:}[/tex]
(a) (x-4) and (2x+7)
(b) x=4 and x=-7/2
[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
[tex]\huge\bold\orange{SOLUTION:}[/tex]
2x²-x-28=02x²+7x-8x-28=02x²-8x+7-28=02x(x-4)+7(x-4)=0(x-4)(2x+7)=0x-4= 0 or 2x+7=0x=4 or 2x=-7x=4 or x= -7/2[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
#CarryOnlearning
Graph the system of linear equations in desmos. identify the solution to the system of linear equations.
y=1/2x+5
2x+3y=-6
Answer:
Step-by-step explanation:
The solution is the point where the lines cross: (-6,2)
Youi can also solve the equations.
y=1/2x+5
2x+3y=-6
Use the first in the second equation to find x:
2x+3y=-6
2x+3[(1/2)x + 5]=-6
2x + 1.5x + 15 = -6
3.5x = -21
x = -6
Use this in either equation to find y:
y=1/2x+5
y=1/2[-6]+5
y = 2
The answer is (-6,2)
3 1/8 - b = 1 3/4
how do I figure out what b is?
can somebody plsss help me 7qt= pt pls help meeee
Answer:
8.40665 Step-by-step explanation:
in 3x + 2/3y - 15 < 0, the point (x,9) is a solution for the inequality shown. what is the possible value for x?
a: 2
b: 3
c: 4
d: 5
answer: 2
explanation:
if you plug in all of the numbers available for the equation and using 9 as a substitute for y, you'll see that it will either = 0 or be greater than 0
How many twelfths make one whole
How many twelfths make one whole
Answer:
12
Step-by-step explanation:
1/12x1/x
1x=12x1
x=12
Answer:
12 twelfths make a whole.
Step-by-step explanation:
when the numerator and the denominator of a fraction are the same, they always equal one. 12/12 would simply to one, just like 3/3 or 200/200.
I hope this helps