Answer:
2,78,31,64,4-2,10-6,54,-97,-38,-8-7,-4-5,-11-1,-16A baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the volume of the delivery box to be 360 cubic inches. If the width of the delivery box is 3 inches longer than the length and the height is 4 inches longer than the length, what must the length of the delivery box be?
2 inches
5 inches
8 inches
9 inches
Answer:
5
Step-by-step explanation:
Solution is 8 in
Let´s call dimensions of the box
x the length of the boxy the width of the box andh the height of the boxAccording to the problem statement
y = x + 3 and h = 4 in
The volume of the box is:
V = x×y×h V = 360 in³
Then V = x × ( x + 3 ) × 4 ( by substitution of y as a function of x )
360 = x × ( x + 3 ) × 4
Simplifying by 4
90 = x × ( x + 3 )
90 = x² + 3x
We got a second degree equation, solving for x
x² + 3×x - 90 = 0
x₁,₂ = ( -3 ± √ (3)² + 4×90 )/2 ⇒ x₁,₂ = ( - 3 ± 19,21 )/2
x₁ ⇒ is a negative value x = - 11,1 so we dismiss such solution
x₂ = 16.21/2
x₂ = 8.1 in
rounding to the nearest integer number we get the value for the length f the box
x₂ = 8 in ⇒ x = 8 in
Note: In Brainly.com in search bar ask for cube dimensions
Subtract.
5/23 - 4/23
(Type an integer or fraction.)
Answer:
1/23
Step-by-step explanation:
5/23 - 4/23 would be 1/23. When the denominators of the fractions are the same, you can just subtract the numerators.
Calculate the area of each figure.
(PLS HELP )
What is the measure of ZW?
Select the best answer from the choices provided.
A.530
B. 74°
C.106°
D.116
Answer:
B) 74
Step-by-step explanation:
This is an icoseles triangle because of the 2 lines in each side. This makes <Y equal to <Z
Given:
<Y = <Z
All triangle angles add up to 180 so:
<W + <Y + <Z = 180
<W + 53 + 53 = 180
<W + 106 = 180
<W = 180 - 106
<W = 74
help me find x
help please
Answer:
[tex]4\sqrt{6}[/tex]
[tex]\frac{sin\left(90\right)}{x}=\:\frac{sin\left(60\right)}{\left(\frac{\left(6\cdot \:sin\left(90\right)\right)}{sin\left(45\right)}\right)}[/tex]
Step-by-step explanation:
{x:x is a natural number and x is greater than 70} write the set in listed form.
Answer:
{71,72,73,74,75,76,77,78,79,80}Step-by-step explanation:
natural numbers start from one but it says greater than 70 so it will start from 71 but to any number as long as it is greater than 70
Lamar is solving the equation x^2 - 12x = -6 by completing the square. Which
shows Lamar's next step and the solution to the equation?
Answer:
Lamar's next step is x^2 — 12x + 6 = 0
The solution to the equation is x = ± 6√30
Step-by-step explanation:
PLEASE HELP!!!!!
Need hELP ASAP
Answer:
bro please help me make me brianliest I think c
I need with this math question
Answer:
h(-2) = 224
Step-by-step explanation:
Write the following phrase as a variable expression. Use x to represent "a number" the sum of a number and seventeen
translation is:
Answer:
[tex]x+17[/tex]
Step-by-step explanation:
Hi there!
Let [tex]x[/tex] represent "the number".
The sum of a number and seventeen
⇒ [tex]x+17[/tex]
I hope this helps!
Help guys please!!!
terms
constant
exponent
variable
coefficient
1.
2.
4.
15x2
303
terms
Answer:
Below,...!
Step-by-step explanation:
1 = Variable
2 = Exponent
3/4 = Coefficient
1. True
2. False
3. True
4. FaLSE
Find the area of the triangle.
A. 5.7 ft
B. 8 ft
C.0.1 ft
D. 16 ft
Answer:
formular 1/2 × base × height
1/2 × 2 × 8
16/2 = 8 ft
ans 8 ft
Answer:
Step-by-step explanation:
a = 2 ft ; b = 8 ft ; C = 91
[tex]Area = \dfrac{abSin \ C}{2}\\\\ =\dfrac{2*8*Sin \ 91}{2}\\\\=8* 0.99\\\\= 7.92\\\\= 8 \ ft^{2}[/tex]
Solve the equation -13=m/-5
Answer:
m = 65
Step-by-step explanation:
Given
- 13 = [tex]\frac{m}{-5}[/tex] ( multiply both sides by - 5 )
65 = m
factorise pls explain me i will make u brainlinst
Answer:
4(5x _ 2y ) ^
Step-by-step explanation:
It is above in a photo .
Three consecutive vertices of a parallelogram are (– 2, 1); (1, 0) and (4, 3). Find the coordinate of the fourth vertex and find the area of the parallelogram.
Answer:
D(1,4) - the fourth vertex, the area is equal to 12
Step-by-step explanation:
A(2,-1), B(1,0),C(4,3), They are consecutive, we need to find the point D, find the midpoint of AC (O)
xo= (xA+xc)/2 x0= (-2+4)/2=1
y0=(yA+yC)/2 y0= (1+3)/2=2
0(1,2)
O is the midpoint of BD, so let's find the vertex D
X0= (xB+xD)/2 1= (1+xD)/2 xD=1
y0= (yB+yD)/2 2= (0+yD)/2 yD=4
D(1,4)
the vector DA is (-2-1, 1-4)= (-3,-3)
the vector DC is (4-1, 3-4)= (3,-1)
The modul of DC is sqrt ((-3)^2+(-3)^2)= 3*sqrt2(the length of the side Dc)
The modul of DA is sqrt (3^2+(-1)^2)= sqrt10(the length of the side DA)
cosD= (-3*3+(-3)(-1))/3*sqrt2*sqrt10=-6/3*2*sqrt5=-1/sqrt5
sinD= sqrt (1- 1/5)=2/ sqrt5
S=3sqrt2*sqrt10*2/sqrt5= 12
Is 53240 a perfect cube? If not, find the smallest number should 53240
be divide so that the quotient is a perfect cube?
Answer:
53240 should be divided by 5 to make it a perfect cube.
Step-by-step explanation:
hey please help i’ll give brain
Answer:
[tex]8 + x = 2 + 8 \\ 8 + x = 10 \\ x = 10- 8 \\ \\ x = 2 \\ then8 + 2 = 2 + 8 \\ thank \: you[/tex]
Answer:
2
Step-by-step explanation:
8 + 2 = 10, so basically, 10 - 8 = 2. Meaning the missing number to when 8 is added to something to equal 10, would be 2.
Someone answer ASAP no image explanations please I can't see those!
Answer: The side length is 3in (inches)
Step-by-step explanation:
Since it's a cube, all the sides are the same.
Formula for cube: L x W x H
= 3 x 3 x 3
= 27in
Simplify
32
O
220
33
O
O
2°
38
O
122
2
0
32
Answer:
first option
Step-by-step explanation:
Using the rule of exponents
[tex](\frac{a^{m} }{a^{n} }) ^{p}[/tex] = [tex]\frac{a^{mp} }{a^{np} }[/tex] , then
[tex](\frac{2^{5} }{^{2} } )^{4}[/tex]
= [tex]\frac{2^{5(4)} }{3^{2(4)} }[/tex]
= [tex]\frac{2^{20} }{3^{8} }[/tex]
Solve the equation 4(z−3)=2z9+22 using the balancing method.
z=
Answer:
z = 9
See my attachment below for step-by-step explanation.
jskaoqlqmsbdnsoqqk
[tex] \sqrt{5} \times \sqrt{15} \times \sqrt{3} [/tex]
Answer:
[tex] \sqrt{5} \times \sqrt{15} \times \sqrt{3} \\ \\ \sqrt{5 \times 15 \times 3} \\ \\ = 5 \times 3 \\ \\ = 15[/tex]
[tex]\\ \rm\longmapsto \sqrt{5}\times \sqrt{15}\times \sqrt{3}[/tex]
[tex]\\ \rm\longmapsto \sqrt{5\times 15\times 3}[/tex]
[tex]\\ \rm\longmapsto \sqrt{5\times 5\times 3\times 3}[/tex]
[tex]\\ \rm\longmapsto 5(3)[/tex]
[tex]\\ \rm\longmapsto 15[/tex]
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!
URGENT!!!!!!!
For the function h defined by h(x)=2x^2 − 2, find h(0).
Answer:
h(0) = - 2
Step-by-step explanation:
Substitute x = 0 into h(x) and evaluate , that is
h(0) = 2(0)² - 2 = 2(0) - 2 = 0 - 2 = - 2
A number of tourist were interviewed on their
choice of
means
of travell Two-thirds said
they had travel by road, 13 by air. 4
the by
both
air and road. If
20 tourist had not travel
road
Represent the information on
on a Vena
diagram:
by either
air
or road. Represent the information on a venn diagram
Answer:
A number of tourists were interviewed on their choice of means of travel. Two- thirds said that they travelled by road, 1330 by air and 415 by both air and road. If 20 tourists did not travel by either air or road ; (i) represent the information on a Venn diagram ; (ii) how many tourists (1) were interviewed ; (2) travelled by air only?
how much time will it take for a bug to travel 5 meters if it is traveling 1 m/s
Answer:
5
Step-by-step explanation:
divide the distance by the rate of speed
5/1=5
Answer:
5 seconds.
Step-by-step explanation:
Which polynomial is in standard form?
O 2xy + 3x8y4 - 4x4y5 + 9x576
O 8X5 - 5y4 – 2xy + xy
O x3y2–3x2y-9x4y +11x
O 5x?y2 +7x8y5 – 14x3y? +51x2y9
The polynomial in standard form is as follows;
8x⁵ - 5y⁴ - 2xy⁵ + x²y
How to find the standard form of polynomial?A polynomial can have constants, variables and exponents, but never division by a variable. example of a polynomial is as follows:
4xy² + 2y + 5
Polynomial can be named base on the number of terms. For example monomial, binomial and trinomial.
The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on.
Therefore, the polynomial in standard form is as follows;
8x⁵ - 5y⁴ - 2xy⁵ + x²y
learn more on polynomial here: https://brainly.com/question/27205112
#SPJ1
Answer: its b
8xy5 -5y4 -2xy5 +x2y
Step-by-step explanation:
I got it right on edge
Which option is the correct interpretation of this numerical expression?
55 ÷ 5 − 4
the quotient of 55 divided by 5, decreased by 4
four subtracted from the product of 55 and 5
five less than the quotient of 55 divided by 4
fifty-five divided by the difference of 5 and 4
Answer:
7
Step-by-step explanation:
bc 11×5=55 so you divide it and its 11-4=7 :)
Number x is 10% more than number y. Number y is 10% more than number z. How much percent is number z less than number x?
pls step by step
Answer:
i hope it helped U
stay safe stay happy
p 2 + m; use m = 1, and p = 5
Answer:
26
Step-by-step explanation:
p²+m
=> 5²+1
=> 25 + 1
=> 26
Answer:
26
Step-by-step explanation:
Substitute the given values into the expression
p² + m
= 5² + 1
= 25 + 1
= 26
Prove this
sinx/cosecx-cotx = 1+cosx
Answer:
= sin x
1
−
cos
x
(
1
+
cos
x
1
+
cos
x
)
-multiply by the conjugate
=
sin
x
+
sin
x
cos
x
1
−
cos
2
x
-distribute
=
sin
x
sin
2
x
+
sin
x
cos
x
sin
2
x
-use property
sin
2
x
+
cos
2
x
=
1
=
1
sin
x
+
cos
x
sin
x
-simply
=
csc
x
+
cot
x
=
Right Hand Side
Step-by-step explanation:
A triangle has three angles. The first angle measures 20 less than a number. The second triangle is three
times the number. The third is the number. What are the measurements of each of the three angles in this
triangle?
Answer:
first angle is 20, 2nd is 120, 3rd is 40.
Step-by-step explanation:
with these words, "20 less than a number, Three
times the number, is the number." We can set up the equation x-20+3x+x = 180. combine like terms and we get 5x-20=180. add 20 to both sides to get 5x=200 then divide 200 by 5x to get x = 40. We can then plug 40 into each of the expressions, x-20, 3x, x, to get our angles.
