Answer:
112 in^2
Step-by-step explanation:
First find the area of the rectangle
A = l*w = 14*7 =98
Then find the area of the triangle
A = 1/2 bh = 1/2 (18-14) *7 = 1/2 (4)*7 = 14
Add the areas together
98+14 =112
Hello!
[tex]\large\boxed{A = 112in^2}[/tex]
We can use the formula for the area of a trapezoid to solve:
A = 1/2(b1 + b2) · h
Thus:
A = 1/2(18 + 14) · 7
Simplify:
A = 1/2(32) · 7
A = 16 · 7
A = 112 in²
The function f(x) = One-sixth (two-fifths) Superscript x is reflected across the y-axis to create the function g(x). Which ordered pair is on g(x)?
Answer:
[tex](-3,4/375)[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{1}{6}(\frac{2}{5})^x[/tex]
Reflection: Across y-axis
Required
The ordered pair on g(x)
The rule of reflection across y-axis is:
[tex](x,y) = (-x,y)[/tex]
So, we have:
[tex]g(x) = f(-x)[/tex]
f(-x) is:
[tex]f(-x) = \frac{1}{6}(\frac{2}{5})^{-x[/tex]
Recall that:
[tex]g(x) = f(-x)[/tex]
Hence:
[tex]g(x) = \frac{1}{6}(\frac{2}{5})^{-x[/tex]
From the options (missing in the question), the ordered pair is:
[tex](-3,4/375)[/tex]
To check this, we have:
[tex]g(x) = \frac{1}{6}(\frac{2}{5})^{-x[/tex]
[tex]g(-3) = \frac{1}{6}(\frac{2}{5})^{--3[/tex]
[tex]g(-3) = \frac{1}{6}(\frac{2}{5})^{3[/tex]
Expand
[tex]g(-3) = \frac{1}{6}(\frac{8}{125})[/tex]
Simplify
[tex]g(-3) = \frac{1}{3}(\frac{4}{125})[/tex]
Open bracket
[tex]g(-3) = \frac{4}{375}[/tex]
Aplica el método de eliminación Gaussiana
Hello,
Here are the solution in excel files
par la méthode de Gauss
If f(x) = 4x2 and g(x) = x+1, find (f•g)(x)
A. 4x3+4x2
B. 4x(x)
C. 4X2 + 1
D. 4(x + 1)
Answer:
4x^3+4x^2
Step-by-step explanation:
f(x) = 4x^2
g(x) = x+1
(f•g)(x) = (4x^2) *(x+1) = 4x^3+4x^2
Can someone help me?
Answer: b
Step-by-step explanation:
Please help me with this, i need help
Answer:
woa
i n
Step-by-step explanation:
find the area of this shape
Please help me asap
Answer:
(1/2×6×8)+(π×4^2/2)
=49.12 ft^2
☆○☆○☆○☆○☆○
Hope it helps..
Have a great day!!!
Wait sorry ignore this I'm still getting used to brainly and I did the question wrong sorry
V(X+8)=x-4
Solve.
Radical equations and inequalities edge test is so hard smh
Answer:
x = V(X + 8) + 4
Step-by-step explanation:
Switch sides
x - 4 = V(X + 8\)
Add\ 4 to both sides
x - 4 + 4 = V(X + 8\) + 4
Simplify
x = V(X + 8) + 4
In order for the parallelogram to be a rhombus, x=? (7x+13)º
Answer:
x = 11
Step-by-step explanation:
The diagonals of a rhombus are perpendicular meaning that they create 90 degree angles
If they create 90 degree angles then 7x + 13 = 90
( Note that we've just created an equation that we can use to solve for x )
We now solve for x algebraically using the equation we created
7x + 13 = 90
Step 1 Subtract 13 from both sides
7x = 77
Divide both sides by 7
x = 11
SOMEONE PLEASE HELP!!!!!!!!!!!!!
Answer:
x = 25.2
Step-by-step explanation:
[tex]\frac{5}{18} =\frac{7}{x}[/tex]
5x = 126
x = 25.2
two sides of a triangle have lengths 7 and 17. find the range of possible length for the third side
by using Pythagoras theorem c2= a2 + b2
so let's say c= 17 and a= 7, let's calculate for b
(17)^2 = (7)^2 + b2
289= 49+b2
289 - 49 = b2
240 =b2
√249 = b
b = 15 . 49
What’s the rate of change in this question y=0.860x+3.302
Answer:
The equation is in a linear form, which means its in y=mx + b
M is the slope.
Slope is a fancy word for rate of change.
Therefore, the slope/rate of change is...
.860
Suppose you had d dollars in your bank account. You spent $22 but have at least $28 left. How much money did you have initially? Write and solve an inequality that
represents this situation.
a.) d-22 28; d 50
b.) d - 22 > 28; d > 50
c.) d + 22 s 28; d s 72
d.) d + 22 28; d 272
Hi there!
»»————- ★ ————-««
I believe your answer is:
d – 22 ≥ 28
d ≥ 50
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Information Given:}}\\\\d - \text{Initial amount of money}\\\\\text{22 dollars was spent, and there are 'at least' 28 dollars left.}[/tex]
⸻⸻⸻⸻[tex]\boxed{\text{Setting up an inequality:}}\\\\\text{22 dollars was spent from the initial amount, 'd'.}\\\\d - 22\\\\\text{There are \textbf{at least} 28 dollars left. "At least" indicates a \underline{greater than or equal to} sign.}\\\\\rightarrow \boxed{d-22\geq 28}[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Solving the inequality:}}\\\\d - 22\geq 28\\-------------\\\rightarrow d - 22 + 22 \geq 28 + 22\\\\\rightarrow \boxed{d \geq 50}[/tex]
⸻⸻⸻⸻
[tex]\text{Your answer should be: }\boxed{d-22\geq 28; \text{ }d \geq 50}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
What is the slope of a segment whose endpoints are labeled (-2a, 0) and (0, -2b)?
Answer:
Step-by-step explanation:
use the slope formula Faith,
point P1 (-2a,0) in the form (x1,y1)
point P2(0,-2b) in the form (x2,y2)
slope = m
m = (y2-y1) / (x2-x1)
m = (-2b - 0 ) / (0-(-2a))
m = -2b / 2a
m = - b/a
they are trying to confuse you with the "a" and "b" variables in the problem, but just use the rules you know to solve what you can :)
Find the volume of this square based pyramid. 3 cm 2 cm 2 cm. V = ? cm3.
I put V = 1/3 x 2 x 3. V = 2.
What did I do wrong?
The volume of square based pyramid is 4cm³.
What is Square Pyramid ?A square pyramid is a pyramid, in geometry, that has a square base and four lateral faces.
How to find the volume of Square Pyramid ?To find the volume of a pyramid, we multiply the area of its base with the height of the pyramid, and divide by 3.
V=1/ 3×B²×h
where B is the area of the base of the pyramid, and h is its height.
Now in the question,
b = 2cm; h = 3cm
Volume = (1/3 x 2x2x3)cm³
= (1x2x2)cm³
= 4cm³
Therefore, the volume of square based pyramid is 4cm³
To learn more about volumes, visit :-
brainly.com/question/1578538
#SPJ1
13. What is the missing mumber in the input-output table below?
Input
3
5
?
17
Output
16
22
31
58
A. 8
C. 11
B. 9
D. 14
Answer:
Hello,
Answer A
Step-by-step explanation:
Since there are 4 inputs and 3 are known
we shell try a function like y=ax²+bx+c
So we have to resolve the system
[tex]\left \{\begin{array}{cccc}9a+3b+c&=&16\\25a+5b+c&=&22\\289a+17b+c&=&58\\\end{array}\right.\\\\\\\left \{\begin{array}{cccc}a&=&0\\b&=&3\\c&=&7\\\end{array}\right.\\\\[/tex]
We have to try:
0*x²+3*x+7=31
3x=24
x=8
What is the image point of (-8,9) after the transformation ry=-x
O
R90°?
Answer:
I believe it is (-8,-9)
Step-by-step explanation:
I plugged the line into desmos then did the rotation
I don't understand this help me : )
Answer:
Alternate interior angles theorem
Step-by-step explanation:
Hope it helps you in your learning process.
what is 6^20 / 6^15? please include explanation :)
Answer:
6^5
Step-by-step explanation:
We know that a^b /a^c = a^(b-c)
6^20 / 6^15
6^(20-15)
6^5
Which pair of angles are corresponding angles?
Answer:
angles 3&7
Step-by-step explanation:
Can some1 tell me fast pls what is the additive inverse of -9/2
Answer:
9/2
Step-by-step explanation:
For example, the additive inverse of 7 is −7, because 7 + (−7) = 0, and the additive inverse of −0.3 is 0.3, because −0.3 + 0.3 = 0.
-9/2 + 9/2 = 0
Answer:
9/2.
Step-by-step explanation:
If x is the additive inverse then
x + (-9/2) = 0
x - 9/2 = 0
so x = 9/2.
Sonia received a statement on her Certificate of Deposit showing that her investment had returned $4,320 over its life. If the Certificate of Deposit pays a simple interest rate of 4.8% and her initial investment was $12,000, how long had the money been invested?
Answer:
The correct answer is -7.5 years.
Step-by-step explanation:
Given:
Principle amount = 12000
Interest = 4320
time = ?
rate = 4.8 simple interest
Solution:
We know that simple Interest I = (P*t*r)/100
then t = I*100/p*r
putting values in formula:
t = 4320*100/4.8*12000
= 432000/57,600
= 7.5 years
C and D are complementary angles. Which of the following measures cannot be true
Om C= 30° and m D = 60°
Om C= 60° and m2D = 30°
Om C= 65° and m D = 35°
Om C = 55° and m D = 35°
Answer:
C= 65° and m D = 35°
this cannot be true
Step-by-step explanation:
a complementary angle adds up to 90°
65°+35°=100
90° =/= 100°
2(x+3) + 9 - 5 = 32
Solve for x.
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]x = 11[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\2(x+3)+9-5=32\\----------------\\\rightarrow 2x + 6 + 9 - 5 = 32\\\\\rightarrow 2x + 10 = 32\\\\\rightarrow 2x + 10 - 10 = 32 - 10\\\\\rightarrow 2x = 22\\\\\rightarrow \frac{2x=22}{2}\\\\\rightarrow \boxed{x=11}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
What is the area of the parallelogram represented by the vertices A(-6, -1), B(-2, -1), C(-1, -4) and D(-5, -4)?
Answer: 12 units²
Step-by-step explanation:
To find the area of a parallelogram, we use the formula A=l×w. To find the length and width, let's graph out the parallelogram to get a better view. Let's refer to the picture attached to see what the graph looks like. The length is 4 units while the width is 3 units. Therefore we multiply.
A=4×3=12 units²
Now, we know the area is 12 units².
HELP pythagorean identity
Answer:
sin x
Step-by-step explanation:
sin ^2 x + sin x + cos ^ x -1
sin ^2 x + cos ^ x + sin x-1
We know that sin^2 x + cos ^2 x = 1
1 + sin x -1
sin x
Hi!
[tex]\sin^2x+\sin x+\cos^2 x-1=\\\\=\underline{\sin^2x+\cos^2x}+\sin x-1=\\\\=1+\sin x-1=\boxed{\sin x}[/tex]
linesl,mand n are parallel to each other and p is a transversal
========================================================
Explanation:
Since L and M are parallel lines, this means x+y = 180 due to the same side interior angles theorem. Some books refer to these angles as consecutive interior angles.
If x+y = 180, then y = 180-x.
Plug this into the equation your teacher gave you
x/y = 3/7
x/(180-x) = 3/7
7x = 3(180-x) ... cross multiply
7x = 540 - 3x
7x+3x = 540
10x = 540
x = 540/10
x = 54
Use this to find y
y = 180-x
y = 180-54
y = 126
Then notice how x/y = 54/126 = 3/7, which helps confirm we have the correct x and y values.
Divide both parts of the first fraction by 18 to fully reduce.
Now because angles y and z are alternate exterior angles, this must mean z = y = 126 degrees
Help Now Pleaseee!!!!
Find the volume of the sphere
Answer:
7235 using 3.14 for pi
7238 using the pi button
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
V = 4/3 pi (12)^3
V = 2304pi
Letting pi = 3.14
V = 7234.56 and rounding to a whole number
V = 7235
Using the pi button
V =7238.22947 and rounding to a whole number
V = 7238
Answer: 7238
Step-by-step explanation:
The formula used is 4/3πr³
Now let's substitute the radius: 12
4/3πr³
=4/3×π×12³
=4/3×π×1728
=7238.22947
but since we are rounding it to the nearest whole number the answer would be 7238
Can someone help please and thank you
Answer:
b
Step-by-step explanation:
The ages of 20 school children are recorded as follows:. 13 19 15 17 13 9 11 9 11 15 17 15 11 9 9 11 15 11 11 11. a. Make a frequency for the data b. What is the modal age c. Calculate. i) The mean age correct to the nearest whole number. ii) The range. d. What is the probability of selecting a child between the ages of 12 and 14
Answer:
The modal age is 11
The range is the highest minus the Lowe's which is 19-9=10
The polygons in each pair are similar. Find the missing side length
Answer:
24 is the answer because 18/3=6 6x4 is 24