Answer:
First part: 0.35 miles per minute
Second part: 3.5 miles in 10 minutes
Step-by-step explanation:
Think about this as a fraction. Fractions can't be added nor subtracted unless they share the same denominator. So for this case, we have to turn hours into minutes. So 21 mph becomes 21 miles per 60 minutes. Then, we divide 60 from each side to find the speed per minute. 21/60 = 0.35, so the answer to the first part is 0.35 miles per minute.
Using what we got, we can answer the second part of the distance covered in 10 minutes. So, we just multiply 0.35 by 10 which is 3.5 miles covered in 10 minutes.
which of the binomials below is a factor of this trinomial x2+6x-40
Answer:
x2 - 16x + 28 = (x - 2)(x - 14)
Step-by-step explanation:
Even though you don't mention any factors below, it is easy to tell that the above-given two factors must be the ones you are looking for.
What is the measure of each intercepted arc for each inscribed angle of a regular hexagon inscribed in a circle?
Answer:
Step-by-step explanation:
The inscribed angles are made up of the remote interior angles of this hexagon, of which each of them measures 120 degrees. That means that if this is measure of the inscribed angle, the arc this angle intercepts is twice the degree measure of the inscribed angle. The arcs then will all measure 240 degrees.
If YWZ=17, what is WXY?
34
56
17
73
Answer:
73
Step-by-step explanation:
17×2=34
180-34=146
146/2=73
=73
HELP ASAP PLEASE!!!!!
what is the factorization of the polynomial below -x^2-2x+48
I HOPE IT WILL HELP YOU. I DID HOW I KNOW .
what is the area of the figure below?
Answer:
D. 72 [tex]in^2[/tex]
Step-by-step explanation:
The square is 36 in2
The 2 triangles are both 18 in2.
36+18+18=72 in2
I hope this helps!
pls ❤ and give brainliest pls
Answer:
Area is 72 in²
Step-by-step explanation:
= Area of three triangles + area of square.
[tex]{ \bf{ = 3 \times ( \frac{1}{2} b \times h) + (s \times s)}}[/tex]
substitute:
[tex]{ \sf{ = ( \frac{1}{2} \times 6 \times 6) + 2( \frac{1}{2} \times 6 \times 3) + (6 \times 6)}} \\ = { \sf{18 + 18 + 36}} \\ = { \sf{ {72 \: in}^{2} }}[/tex]
!20 Point! Please help me find the surface area!
PLEASE, forgive me but I answered this and hopefully what I see is correct. I’m really sorry if this weren’t the real measurements!
Answer:
192 square inches
Step-by-step explanation:
Surface area questions often include the net for easy answering. All you do is just find the area of each face and add them all up:
As you can see, all triangles in this net of a pyramid are the same, so once we find the area of one triangle, we’ll just multiply by 4:
FIND AREA OF ONE TRIANGLE (1/2 x b x h)
1/2 x 8 x 12 = 48 square inches
MULTIPLY BY 4 for SURFACE AREA:
48 x 4 = 192
so the SA is 192 square inches!
brainliest?
Answer:
The base is 12 the height is 8.
Using the formula of finding the area of a triangle: BH x 1/2
8 x 12 x 1/2 = 48 Area of one triangle.
Since there are 4 equilateral triangles we multiply the area of one triangle 4 times since they are all equal.
48 x 4 = 192 in2 is your surface area
(haven't done this in quite a while so make sure to check other answers for more reassurance)
if f(x+1)=3x+4,find f(x) and f(3).
f(x+1)=3x+4
Let y be x+1 So x=y-1[tex]\\ \sf\longmapsto f(y)=3(y-1)+4[/tex]
[tex]\\ \sf\longmapsto f(y)=3y-3+4[/tex]
[tex]\\ \sf\longmapsto f(y)=3y+1[/tex]
[tex]\\ \sf\longmapsto f(x)=3x+1\checkmark[/tex]
[tex]\\ \sf\longmapsto f(3)[/tex]
[tex]\\ \sf\longmapsto 3(3)+1[/tex]
[tex]\\ \sf\longmapsto 9+1[/tex]
[tex]\\ \sf\longmapsto 10[/tex]
Question : A miniature model of a statue is made using the scale 1 in = 10 ft. The height of the
miniature model is 7 in. What is the actual height of the statue?
1012
ROUP
Answer:
70 feet
Step-by-step explanation:
If the miniature model has size of 1 inch, the real statue will be 10 feet in size. So if the model is 7 inch in size, the real statue will be 70 feet in size.
Find the volume of each figure. Round your answers to the nearest tenth, if necessary
Answer:
437.9
Step-by-step explanation:
Volume is pi*r^2*h=pi*(49)*9=437.9
Help me in this one pls I give 15 pts
Answer:
I think option b i.e 7 is right but not sure
What is the difference between-5and2
Answer:
7
Step-by-step explanation:
Consider the absolute value of the difference , that is
| - 5 - 2 | = | - 7 | = 7
or
| 2 - (- 5) | = | 2 + 5 | = | 7 | = 7
Answer:
7
Step-by-step explanation:
Difference is - sign so the equation is: 2- -5 which is 7. Or
think a number line, -5 is 5 spots to 0, then two more spots to 2 so 5+2=7
Find the approximate side length of a square game board with an area of 194 in2.
Answer:
root 194=13.928 inches
A length on a map is 7.5 inches. The scale is 1inch & 5 miles. What is the actual distance?
Answer: Actual distance = 37.5 miles
Step-by-step explanation:
Let x be the actual distance
Given information
Length on map = 7.5 inches
Scale = 1 inch : 5 miles
Set up proportion
[tex]\frac{7.5}{x} =\frac{1}{5}[/tex]
Cross multiply to convert out of fraction form
[tex]7.5*5=1*x[/tex]
[tex]\boxed{x=37.5}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Find m/ELM if m/ELM = 15x - 1, m/KLE = 20°, and m/KLM = 17x - 1.
Answer:
∠ ELM = 149°
Step-by-step explanation:
∠ KLM = ∠ KLE + ∠ ELM , substitute values
17x - 1 = 20 + 15x - 1
17x - 1 = 15x + 19 ( subtract 15x from both sides )
2x - 1 = 19 ( add 1 to both sides )
2x = 20 ( divide both sides by 2 )
x = 10
Then
∠ ELM = 15x - 1 = 15(10) - 1 = 150 - 1 = 149°
When you subtract two positive integers is the result always a positive integer
Sai vì số Nguyên dương nhỏ trừ số nguyên dương lớn bằng số nguyên âm
In the parallelogram below,
z = [ ? ]°
124°
2z+16°
Helpp!
2z+16+124=180
2z=180-16-124
2z=40
z=40/2
Z=20°
I hope I helped you ^_^
Find the measure of the missing arc KN labeled on the graph. Show ll your work that leads the final answer. *
Answer:
Arc KN = 201°
Step-by-step explanation:
Recall: According to the tangent-secant exterior angle theorem, the measure of the vertex angle formed at an external point where a tangent and a secant meet outside a circle is ½ of the difference between the intercepted major and minor arcs.
Applying this to the problem given, we have:
m<L = ½(Arc KN - Arc KM)
m<L = 70° (given)
Arc KN = ?
Arc KM = 61°
Substitute
70° = ½(Arc KN - 61°)
2*70° = Arc KN - 61°
140° = Arc KN - 61°
140° + 61° = Arc KN
201° = Arc KN
Arc KN = 201°
Please help. I don't understand anything.
Answer:
A
Step-by-step explanation:
The area of figure=Area of rectangle+Area of triangle
Area of figure=(x+2)(x-3)+1/2*(x)*(x+2)
Area of figure=x^2-x-6+0.5*x^2+x
Area of figure=(3/2)x^2-6
Answer:
A, M(x)=3/2 (x^2-6)
Step-by-step explanation:
Let's calculate the area of the figure 1st,
Area of figure=Area of triangle+Area of rectangle
=1/2 b*h + l*b = 1/2 (x+2)x + (x+2)(x-3)
=(x^2+2x)/2+x^2 - x - 6 =(x^2+2x+2x^2 - 2x -12)/2
=3x^2-12/2=3/2(x^2-6)
In the options,
M(x)=3/2 (x^2-6) is given, so it best represents the area.
Find the area of ABCD
Answer:
Applying Heron's Formula
[tex]s=\frac{2.89+4.3+6.81}{2}[/tex]
[tex]s_1=7[/tex]
[tex]A_1=\sqrt{7(7-2.89)(7-4.3)(7-6.81)}[/tex]
[tex]A_1=10.56[/tex]
Now, [tex]s_2=\frac{6.81+8.59+7.58}{2}[/tex]
[tex]s_2=11.49[/tex]
[tex]A_2=\sqrt{11.49(11.49-6.81)(11.49-8.59)(11.49-7.59)}[/tex]
[tex]A_2=24.69[/tex]
Total Area:
[tex]10.56+24.69[/tex]
[tex]=35.25[/tex]
OAmalOHopeO
Identify the number of vertices, edges, and faces of the polyhedron. Use your results to verify Euler's formula.
The Euler's formula relates the vertices, faces and the edges of a polyhedron.
The correct option is (e) [tex]V = 6[/tex] [tex]E = 10[/tex] [tex]F = 6[/tex] [tex]6- 10 + 6 = 2[/tex]
First, we count the number of faces. This is the flat parts of the shape.
The attached shape has 6 flat surfaces.
So:
[tex]F = 6[/tex]
Next, we count the number of edges. This is where two faces meet.
The attached shape has 10 edges;
So:
[tex]E = 10[/tex]
Lastly, we count the number of vertices. This is where two edges meet.
The attached shape has 6 vertices.
So:
[tex]V = 6[/tex]
Using Euler's formula, we have:
[tex]V - E + F = 2[/tex]
Substitute values for V, E and F
[tex]6- 10 + 6 = 2[/tex]
[tex]2 = 2[/tex]
Hence, the polyhedron has 6 vertices, 10 edges and 6 faces
Read more vertices, edges, and faces at:
https://brainly.com/question/23347978
What is the difference of the two polynomials?
(9x2 + 8x) – (2x2 + 3x)
7x2 + 5x
7x2 + 11x
11x2 + 5x
11x2 + 11x
Answer:
The answer is 7x²+5x
Step-by-step explanation:
[tex]\sf{}[/tex]
♛┈⛧┈┈•༶♛┈⛧┈┈•༶
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The students in Shawn's class got to choose whether to visit the zoo or the aquarium. 3 students went to the zoo and 15 students went to the aquarium. What is the ratio of the number of students who went to the zoo to the number of students who did not go to the zoo?
A. 1:6
B. 1:1
C. 1:3
D. 1:5
Answer:
either it's 1:3 or 1:6
Step-by-step explanation:
3 students went to the zoo, and 15 students went to the aquarium.
15 plus 3 is 18.
3/18 then reduces to 1/6
therefore it is:
1:6
(before, I got my answer deleted so, maybe it is 1:3, but I solved it and got 1:6)
Help Pls if you want!!!!
Answer:
Its 2.5 percent ladd enjoy
Step-by-step explanation:
Answer:
2 per team and 2 left
Step-by-step explanation:
10 can't split into 4 evenly so, you can only give 2 to each team causing there to be 2 left.
4*2 = 8
10-8 = 2
show the work please and thank you
Answer:
Option a, 13
if you solve it, you get 13 as the answer
³√(5x-1)=4
or, 5x-1=64
or, 5x=65
or, x=13
One of the legs of a right triangle measures 11 cm and its hypotenuse measures 13 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
cm
Submit Answer
attempt 1 out of 2
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Answer:
17.02939
Step-by-step explanation:
What is 15+(-11) simpyfied
Hi there!
»»————- ★ ————-««
I believe your answer is:
4
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer...}}\\\\15+(-11)\\----------------\\\rightarrow 15 +1(-11)\\\\\rightarrow 15 - 11\\\\\rightarrow \boxed{4}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
your answer will obviously be 4
If the each side of equalaterial triangle is a cm. what is the area?
Step-by-step explanation:
[tex]area \: of \: a \: triangle = \frac{1}{2} \times base \times height \\ \\ base = \frac{a}{2} cm \\ {h}^{2} + {( \frac{a}{2} )}^{2} = {a}^{2} \\ \\ h = \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } \\ \\ area \: of \: triangle = \frac{1}{2} \times b \times h \\ = \frac{1}{2} \times \frac{a}{2} \times \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } \\ \\ = \frac{a}{4} \times \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } [/tex]
solve for each of the following equations. /2x+3/=10
Answer:
/2x+3/=10
2x+3=10 or 2x+3=-10
2x=10-3 or 2x=-10-3
2x=7 or 2x=-13
X=7÷2 or X=-13÷2
X=3.5 or X=-6.5
Find 3rd and 5th form by using nth term formula tn=a+(n-1)d when tn=a+(n-1)d when a=2 and d=3.
Answer:
t3 = 8, t5 = 14
Step-by-step explanation:
t3 = 2 + (3-1) × 3
t3 = 2 + (2) × 3
t3 = 2 + 6
t3 = 8
t5 = 2 + (5-1) × 3
t5 = 2 + (4) × 3
t5 = 2 + 12
t5 = 14
A tank initially has 300 gallons of a solution that contains 50 lb. of dissolved salt. A brine solution with a concentration of 2lb of salt/gallon is admitted into the tank at a rate of 6 gallons per minute. The well-stirred solution is drained at the same rate. How long will it take for the tank to have 100 lb. of dissolved salt
Let s(t) be the amount of salt in the tank at time t. Then s(0) = 50 lb.
Salt flows into the tank at a rate of
(2 gal/min) (6 lb/gal) = 12 lb/min
and flows out at a rate of
(2 gal/min) (s(t)/300 lb/gal) = s(t)/150 lb/min
so that the net rate at which salt is exchanged through the tank is
ds(t)/dt = 12 - s(t)/150 … (lb/min)
Solve for s(t). The DE is separable, so we have
ds/dt = 12 - s/150
150 ds/dt = 1800 - s
150/(1800 - s) ds = dt
Integrate both sides to get
-150 ln|1800 - s| = t + C
Solve for s :
ln|1800 - s| = -t/150 + C
1800 - s = exp(-t/150 + C )
1800 - s = C exp(-t/150)
s = 1800 - C exp(-t/150)
Now given that s(0) = 50, we solve for C :
50 = 1800 - C exp(-0/150)
50 = 1800 - C
C = 1750
Then the amount of salt in the tank at any time t ≥ 0 is
s(t) = 1800 - 1750 exp(-t/150)
To find the time it takes for the tank to hold 100 lb of salt, solve for t in
100 = 1800 - 1750 exp(-t/150)
1700 = 1750 exp(-t/150)
34/35 = exp(-t/150)
ln(34/35) = -t/150
t = -150 ln(34/35) ≈ 4.348
So it would take approximately 4.348 minutes.
By the way, we didn't have to solve for s(t), we could have instead stopped with
-150 ln|1800 - s| = t + C
Solve for C - this C is not the same as the one we found using the other method. s(0) = 50, so
-150 ln|1800 - 50| = 0 + C
C = -150 ln|1750|
==> t = 150 ln(1750) - 150 ln|1800 - s|
Then s(t) = 100 lb when
t = 150 ln(1750) - 150 ln(1700)
t = 150 ln(1750/1700)
t = 150 ln(35/34)
t ≈ 4.348