Perimeter:-4a
[tex]\\ \large\sf\longmapsto 4(5)=20in[/tex]
Height=10in[tex]\boxed{\sf LSA=Height\times Perimeter}[/tex]
[tex]\\ \large\sf\longmapsto LSA=10\times 20[/tex]
[tex]\\ \large\sf\longmapsto LSA=200in^2[/tex]
Minnie bought 6 postcards during 3 days of vacation. After 8 days of vacation, how many total postcards will Minnie have bought?
Answer:
16 post cards
Step-by-step explanation:
bcos (6postcards÷3days)=2. so 2postcards in a day. So the 2 postcards per day u multiply it by 8. (2postcards ×8 days)= 16 post cards
8. If a prism is 15cm high with its base a triangle having sides 6cm, 8cm and 10cm. Find its volume. (a) 350cm (b) 30cm (c)460cm3 (d)90cm3
Answer:
360cm³
Step-by-step explanation:
Volume of a triangular prism = Base area * Height of prism
Height of prism = 15cm
Base area = 1/2 * 6 * 8
Base area = 24cm²
Volume of the prism = 15 * 24
Volume of the prism = 360cm³
f(x) = x+3
g(x) = 2x^2-4
find (f times g) (x)
Step-by-step explanation:
(f*g) (x)=f(x) * g(x)
=(x+3)(2x^2-4)
=2x^3-4x+6x^2-12
please answer correctly and i will give 10 extra points
Answer:
I believe the answer would be 48.6 milliliters
Step-by-step explanation:
54 * 0.9 = 48.6
Write 6.8167 correct to 3 significant figures.
Answer:
6.82
Step-by-step explanation:
Which of the following is an example of exponential growth?
A. Investing $1,000 at an annual interest rate of 3%, compounded monthly
B. A bacterial culture increases by 1,000 bacteria per day
C. The height of a tree increases by 2 feet each year
D. Water drips into a bucket at a rate of 2 pints each minute
An example of an exponential function is given as follows:
A. Investing $1,000 at an annual interest rate of 3%, compounded monthly.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.As we saw above, the rate of change is a percent, and in this problem, only option A has a rate of change as a percent, hence it is an exponential function.
More can be learned about exponential functions at https://brainly.com/question/25537936
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find the measure of the indicated angle to the nearest degree
Answer:
missing angle= 44°
Step-by-step explanation
sin=opposite/hypotenuse
cos=adjacent/hypotenuse
tan=opposite/adjacent
x is opposite of 19 and 41 is the biggest side so that is the hypotenuse. with that being said you will put in your calculator sin(19/41) and make sure that it is in radian mode. This gives you the answer of 44°
what is 10 5/8 - 8 2/7
Answer:
2 19/56 is the answer.
Step-by-step explanation:
10 5/8 - 8 2/7
or, 85/8 - 58/7
or, (595-464)/56
or, 131/56
= 2 19/56
Monica makes tomato sauce with the plants she grows in her garden. She uses 3 basil leaves in her sauce for every 8 tomatoes. She is making a big batch of sauce with 32 tomatoes from her garden.
Answer: 12 Basil leaves
Step-by-step explanation:
Given
Monica uses 3 basil leaves for every 8 tomatoes
For 32 tomatoes she needs
[tex]\Rightarrow 3\ \text{basil leaves}\equiv8\ \text{Tomatoes}\\\\\Rightarrow 4\times 3\ \text{basil leaves}\equiv4\times 8\ \text{Tomatoes}\\\\\Rightarrow 12\ \text{basil leaves}\equiv 32\ \text{Tomatoes}[/tex]
Thus, she needs 12 basil leaves.
1 point Write the equation of the line that is parallel to the line given and through the given point. Do not use spaces in your equation y=-x-3 (-3,4)
Answer:
y=3x+9......(i)
y=-4x-12...(ii)
these are the equation
What’s is the product of
1/15 X 1/3 =?
Answer:
[tex] \frac{1}{45} [/tex]Step-by-step explanation:
[tex] \frac{1}{15} \times \frac{1}{3} [/tex]
[tex] = \frac{1}{15 \times 3} [/tex]
[tex] = \frac{1}{45} (ans)[/tex]
Solve for x.
A) -6
C) -8
B) 12
D) -10
Answer:
i believe it's -6? option a.
Step-by-step explanation:
okay.
60 degrees + a right angle, 90 degrees = 150 degrees
a triangle is normally 180 degrees.
180-150=30
so we need to get 30 from that equation, x + 36
x + 36 = 30
you solve.
x = -6
if im wrong, feel free to correct me + sub to gauthmath sub reddit if ya can !
find the missing side lengths
Cos( 30 ) = 19√3 / x
√3 / 2 = 19√3 / x
Simplify √3 from both sides
1 / 2 = 19 / x
Multiply both sides by x
1 /2 × x = 19 / x × x
x / 2 = 19
Multiply both sides by 2
x / 2 × 2 = 19 × 2
x = 38
_____________________________
Sin( 30 ) = y / x
1 / 2 = y / 38
Multiply both sides by 38
38 × 1 / 2 = 38 × y / 38
38 / 2 = y
19 = y
y = 19
Your teacher gave you 1/2 of a bag of candy, but she only gave your friend 1/3 of a bag. How much more of the bag did your teacher give you than your friend?
Answer:
We can convert the 2/3 bag of candy that we got to 16/24, by multiplying both the top and bottom by 8. Similarly, we multipy the 1/8 bag of candy that our friend got by 3 on the top and bottom to get 3/24.
We find the difference between these two:
(16/24) - (3/24) = (16-3)/24 = 13/24
So we get 13/24 more of the bag of candy than our friend did.
Answer:
1/6
Step-by-step explanation:
you’re being asked the difference between the amounts of your candy and your friend’s candy.
So you must subtract 1/3 from 1/2.
=> 1/2 - 1/3
=> 3*1 - 2*1/3*2. ( You criss-cross and you multiply the denominators)
=>. 3 - 2 /6
=> 1/6
So you got 1/6 more candies in your bag than your friend.
the unknown side of a trapezium.
Answer:
11 mm
Step-by-step explanation:
121=area of a rectangle and area of triangle
121=x*8+(0.5)*x*(14-8), 11x=121, x=11
Answer:
[tex]11mm[/tex]
Step-by-step explanation:
Let the unknown side be x
[tex]Area \: \: \: of \: \: the \: \: trapezium = \frac{1}{2} \times (sum \: \: of \: \: \: the \: \: parallel \: sides) \times height \\ 121= \frac{1}{2} \times (8 + 14) \times x \\ 121 \times 2 = 22x \\ 242 = 22x \\ \frac{242}{22} = \frac{22x}{22} \\ 11 = x[/tex]
What is the equation of the graph shown?
Answer:
2y+3x-2=0
Step-by-step explanation:
The slope of the line is 3/2 and the equation of line is y=-1.5x+1
Solve the equation :
-3 • ( 2 - x ) + 4 = 2 • ( 1 - 2x) + 3
thanks :)
Isolate the variable by dividing each side by factors that don't contain the variable.
x = 1
-6+3x+4=2-4x+3
-8+7x+1=0
7x=7
x=1
Answer:
x=1
Step-by-step explanation:
SEE IMAGE for Solution
if u can help be fast please
A) 5 sides = 72.00
interior =108.00
B) 9 sides = 40.00
interior = 140.00
C) 15 sides = 24.00
interior = 156.00
D) 19 sides = 18.95
interior = 161.05
These are exterior angles right? y'know what I'll just put both
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
(0,0)
(-1/2, -3)
O A. y = 2x
O B. y=*
O C. y = 3x
ООО
OD. y = -6x
E. y=-*
OF. y = 6x
Answer:
I think the correct answer is F. y = 6x
We will see that the line equation is y = 6*x
How to find a linear equation?
A general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we know that the line passes through two points (x₁, y₁) and (x₂, y₂) then we can write the slope as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
In this case, the line passes through the points: (0, 0) and (-1/2, -3)
Then the slope is:
[tex]a = \frac{0 - (-3)}{0 - (-1/2)} = 6[/tex]
Then the line is of the form y = 6*x + b
To find the value of b, we use the fact that the line passes through the point (0, 0), then we have:
0 = 6*0 + b
0 = b
We can conclude that the line is y = 6*x
If you want to learn more about linear equations, you can read:
https://brainly.com/question/4074386
Fill in the missing number in the equation.
Drop down answers: -2, 8, 15, or It is not possible to find the answer
9514 1404 393
Answer:
8
Step-by-step explanation:
The matrix being multiplied is the same in all cases, so we can "collect terms" in the usual way.
3A +5A = (3+5)A = 8A . . . . . . where A represents the 2×2 matrix
The missing number is 8.
QUICK QUESTION! PLEASE HELP ME
Answer:
y=3/x
Step-by-step explanation:
Does this graph represent a function? Why or why not?
A. No, because it is not a straight line.
O B. Yes, because it passes the horizontal line test.
Find c.
Round to the nearest tenth:
с
8 cm
829
550
b
Answer:
c = 9.7
Step-by-step explanation:
Using the law of sines
sin 55 sin 82
---------- = ---------------
8 c
Using cross products
c sin 55 = 8 sin 82
c = 8 sin 82 / sin 55
c=9.67115
To the nearest tenth
c = 9.7
Which of the lists of letters all have rotational symmetry?
1, (C, H, N, X)
2, (N, O, S, Z)
3, (H, J, N, S)
4, (F, H, X, Z)
(No explanation is needed but it would be helpful)
Answer:
The alphabets Z, H, S, N and O have rotational symmetry.
8x(x-2017)-2x+4034=0
Answer:
¼ và 2017
Step-by-step explanation:
Please help me with this anyone
Answer:
Step-by-step explanation:
Begin by combining like terms and then factoring. Combining like terms will give you
[tex]10p^2-17p-20=0[/tex] Using the "old-fashioned" way of factoring, the a times c method, our a = 10, b = -17 and c = -20.
a * c = 10(-20) = -200 and now we need the factors of 200 (don't worry about the negative) that combine to give us that middle term, -17p (here is where the negative matters). The factors of 200 are:
1. 200; 2, 100; 4. 50; 5, 40; 8, 25; 10, 20
The combination of those numbers that can be manipulated to give us a -17p is the 8, 25 as long as we say that the 25 is negative and the 8 is positive. Rewrite the original polynomial to reflect those factors:
[tex]10p^2-25p+8p-20=0[/tex] and then factor by grouping:
[tex](10p^2-25p)+(8p-20)=0[/tex] and factor out from each set of parenthesis what is common:
[tex]5p(2p-5)+4(2p-5)=0[/tex] again factor out what is common:
(2p - 5)(5p+ 4) = 0. These are the factors; therefore the solutions are
2p - 5 = 0 so
2p = 5 and
p = 5/2 and
5p + 4 = 0 and
5p = -4 so
p = -4/5
ASAP!! can i get some help on this question, and a step by step explanation please, it would help
a lot thanks.
Answer:
[tex]{ \tt{ {3x}^{2}(5 {x}^{3} ) = 15 {x}^{5} }}[/tex]
Step-by-step explanation:
[tex]{ \sf{3 {x}^{2}(5 {x}^{3} )}} \\ = { \sf{ {x}^{5} (3 \times 5)}} \\ = { \sf{15 {x}^{5} }}[/tex]
Express the function f(x) =3x^2-6x-18 in the form a(x + h)^2=k, where a, h and k are constants.Hence state the :
(i) the minimum value of f(x).
(ii) the value of x for which f (x) is a minimum
Answer:
The minimum value of f(x) is -21 and it occurs at x = 1
Step-by-step explanation:
f(x) =3x^2-6x-18
Factor out the greatest common factor out of the first two terms
f(x) =3(x^2-2x)-18
Complete the square
-2x/2 =-1 (-1)^2 = 1
Add 1 (But remember the 3 out front so we are really adding 3 so we need to subtract 3 to remain balanced)
f(x) = 3(x^2 -2x+1) -3 -18
f(x) = 3(x-1)^2 -21
This is vertex form
f(x) = a(x-h)^2 +k where (h,k) is the vertex and a is a constant
The vertex is (1,-21)
Since a > 0 this opens upward and the vertex is a minimum
The minimum value of f(x) is -21 and it occurs at x = 1
Solve 2x + 3y = C, for y
Answer:
y= [tex]\frac{c-2x}{3}[/tex]
Step-by-step explanation:
2x+3y=C
isolate y
3y=C-2x
y= [tex]\frac{c-2x}{3}[/tex]
Debt is a result of spending more than you make.
True
False