Answer:
The area of the polygon CDEFGH is 7
Step-by-step explanation:
Area of a Polygon
The area of a polygon is generally calculated as the sum of the smaller areas that form its full shape, give each partial area has a known shape, like a square, rectangle, triangle, circle, etc.
The six points given in the question are plotted in the image below. They form a polygon whose area can be divided into two smaller shapes:
The area CDHE is a square of length side 2. Area of a square:
[tex]A1=L^2[/tex]
The area HEFG is a trapezoid with bases lengths 4 and 2, and height 1. Area of a trapezoid:
[tex]\displaystyle A2=\frac{b1+b2}{2}h[/tex]
Calculate both areas:
[tex]A1=2^2=4[/tex]
[tex]\displaystyle A2=\frac{2+4}{2}\cdot 1=3[/tex]
Total Area=4+3=7
The area of the polygon CDEFGH is 7
what is an equation of the line that passes through the points (-6,2) and (6,-2)
Answer:
y = -1/3 x + 8/3 or 3y = -x + 8
Step-by-step explanation:
m = (-2 - 2) / [(6 - (-6)]
= -4 / 12
= -1/3
Use (-6, 2) and substitute in the formula:
y = mx + b
2 = -1/3 (2) + b
2 = -2/3 + b
2 + 2/3 = b
8/3 = b
y = mx + b
y = -1/3 x + 8/3 or 3y = -x + 8
The dimensions of a rectangular monitor screen are such that it's length is 5 in. More than it's width. If the length were doubled and if the width were deceased by 1 in the area would be increased by 170 in^2. What are the length and width of the screen?
Given:
Length of a rectangular monitor screen is 5 in more than it's width.
If the length were doubled and if the width were deceased by 1 in the area would be increased by 170 in².
To find:
The length and width of the screen.
Solution:
Let width of the screen be x inches.
Length of a rectangular monitor screen is 5 in more than it's width. So,
Length of screen = (x+5) inches
Area of screen is
[tex]Area=length\times width[/tex]
[tex]A_1=(x+5)\times x[/tex]
[tex]A_1=x^2+5x\text{ in}^2[/tex]
If the length were doubled and if the width were deceased by 1 in the area would be increased by 170 in².
New length = 2(x+5) inches
New width = (x-1) inches
So, new area is
[tex]A_2=2(x+5)(x-1)[/tex]
[tex]A_2=(2x+10)(x-1)[/tex]
[tex]A_2=2x^2+10x-2x-10[/tex]
[tex]A_2=2x^2+8x-10 \text{ in}^2[/tex]
Area increased by 170 in².
[tex]A_2-A_1=170[/tex]
[tex](2x^2+8x-10)-(x^2+5x)=170[/tex]
[tex]2x^2+8x-10-x^2-5x=170[/tex]
[tex]x^2+3x-10=170[/tex]
Subtract 170 from both sides.
[tex]x^2+3x-10-170=0[/tex]
[tex]x^2+3x-180=0[/tex]
Splitting the middle term, we get
[tex]x^2+15x-12x-180=0[/tex]
[tex]x(x+15)-12(x+15)=0[/tex]
[tex](x+15)(x-12)=0[/tex]
[tex]x=-15,12[/tex]
Width cannot be negative. So, x=12.
Width = 12 inches
Length = 12+5 = 17 inches
Therefore, the length of screen is 17 inches and width is 12 inches.
-2.25x+8.75x+10-20 solve x pls
Answer:
im gonna assume the 10 - 20 is what the equation is = to if not x wouldnt be = to anything x = -1.5
Step-by-step explanation:
-2.25x + 8.75x = 10-20
-2.25x+ 8.75x = -10
6.50x = -10 divide both sides by 6.5
x = -1.5
A line passes through the point (–2, 7) and has a slope of –5.
What is the value of a if the point (a, 2) is also on the line?
A: –7
B: –1
C: 1
D: 7
Answer:
a
Step-by-step explanation:
A Plane flies with a velocity of 52 m/s south in a 12 m/s wind blowing in the same direction. Find the
combined direction and velocity of the plane.
Answer:
64 m/s and south directionStep-by-step explanation:
Wind direction is sameWind speed = 12 m/sPlane velocity = 52 m/sCombined direction is
same = southCombined velocity
52 + 12 = 64 m/sBRAINLIEST ANSWER! I need help
Which expression has a value of -5?
A
15 = 3
B
-25-5
100 = -20
-20 = 5
Alonzo earns 8% commission on vacuum cleaner sales. This past month, Alonzo sold 70 units at $150.00 each. How much did Alonzo make in commissions for the past month?
Answer:
$840
Step-by-step explanation:
First, multiply 70 by $150 to get the total amount the Alonzo earned
70 x 150 = 10,500
Then, multiply 10,500 by 1.08 to find the total amount made with commissions.
10,500 x 11,340
Finally, subtract 10,500 from 11,340 to find the amount of money earned from commissions.
11,340 - 10,500 = 840
Answer:
$840
Step-by-step explanation:
Start by finding the total profit made:
70 • $150 = $10500
Then multiply the total by the commission rate, %8, which is equal to 0.08:
$10500 • 0.08 = $840
The answer is $840
-10(-5c+4c+7)-3c simple terms
true answer isssssss 7c-70
Step-by-step explanation:
50c -40c-70-3c
the answer is 7c - 70
what is the solution for x in the equation 5/3 x +4=2/3 x
Answer:
x = - 4
Step-by-step explanation:
Given
[tex]\frac{5}{3}[/tex] x + 4 = [tex]\frac{2}{3}[/tex] x
Multiply through by 3 to clear the fractions
5x + 12 = 2x ( subtract 2x from both sides )
3x + 12 = 0 ( subtract 12 from both sides )
3x = - 12 ( divide both sides by 3 )
x = - 4
Help needed ASAP will give you BRAINLIEST and 5 stars rate
Answer: It would be the last option, "Photograph." Graphic features found in the text are images, drawings, charts, graphs, etc.
Answer:
A
Step-by-step explanation:
It would be the first one.
which ratio is greater
1) 2:3 or 2:4
2)2.5:5 or 2.2:6.6
3)3/2:1/4 or 5/4 : 3/2
4)2: 1/3 or 5: 4/3
Step-by-step explanation:
1.2:3
2.2:5:5
3.5/4:3/2
4.5:4/3
Find the distance between the two numbers on a number line . -2.2,8.4
Answer:
10.6
Step-by-step explanation:
To find the difference between 2 numbers, subtract the bigger one from the smaller one. In this case, 8.4-(-2.2) = 8.4 + 2.2 = 10.6
d) Maribel ha trazado un eneagono (poligono de 9
lados) ¿Cuanto soman los angulos interiores de la fi-
gura que ha trazado Maribel?
Answer:
1260
Step-by-step explanation:
(Notimated as brainliest 25 points )
Triangle ABC has the following vertices:
A(1,9)
B(11,-7)
C(-9,3)
Is triangle ABC a right triangle, and why?
Choose 1 answer:
A) Yes, because AB I AC.
B) Yes, because of AB I BC.
C) No because AB is longer than AC.
D) No, because AABC doesn't have a pair of perpendicular sides
Answer:
Triangle ABC is not a right triangle because d) it doesn't have a pair of perpendicular sides
Step-by-step explanation:
Perpendicular sides mean that the slopes are "opposite reciprocals" of each other.
Example: slope is 1/2 and the perpendicular line's slope is -2
How? 1/2 changes to 2 (you flip it, reciprocal), and then from 2 to -2 (apply opposite sign)
So when you calculate the slopes of AB, AC, and BC, none of their slopes are opposite reciprocals of each other. You can calculate the slopes of each and compare them if you want to check.
I really hope this helps, do you think you can tell me if you got the answer correct? I'd feel really bad if you got it wrong because of me. All I know is that it's not a right triangle.
Answer:
You can just mark the other person as brainliest.
Step-by-step explanation:
-6 = 3/8x - 2 + 1/8x
Answers:
x = -16
x = 8
x = -8
x = -4
Answer:
x = -8
Step-by-step explanation:
Hope This Helps!
Plz mark Brainliest
Answer:
x=−8
Step-by-step explanation:
Let's solve your equation step-by-step.
−6=3/8x−2+
1/8x
Step 1: Simplify both sides of the equation.
−6=3/8x−2+1/8x
−6=3/8x+−2+1/8x
−6=(3/8x+1/8x)+(−2)
(Combine Like Terms)
−6=1/2x+−2
−6=1/2x−2
Step 2: Flip the equation.
1/2x−2=−6
Step 3: Add 2 to both sides.
1/2x−2+2=−6+2
1/2x=−4
Step 4: Multiply both sides by 2.
2*(1/2x)=(2)*(−4)
A family had dinner in a restaurant and paid $30 for food. They also had to pay 9.5% s as le tax and 10% for the tip. How much did they pay for the dinner
Answer:
32.95
Step-by-step explanation:
How many fourths are in 5 wholes?
Answer:
20
Step-by-step explanation:
4/4=1
4x5=20
20 1/4ths in 5 wholes
Answer:
20 fourths
Step-by-step explanation:
1 whole has 4 fourths.
5 wholes has 5 x 4 = 20 fourths.
Hope this helps.
-0.4 divided by 0.25
Stephen Curry plays for the Golden States Warriors and touts a 90% free throw shooting record. If he shot 20 free throws in a game, how many did he miss?
I NEED HELPPPPPPPP PLEASE
He missed 2.
90% of 10 is 9. So he makes 9 shots and misses 1 for every 10 free throws.
So just double that number (1 shot missed) and so you get 2 missed shots
Hope this helps, and please consider marking branliest if this did
Use 4 twos, parentheses, and 3 operations to get
an answer of 0.
Answer: 2 - 2 + (2 + 2) × 0 = 0
Step-by-step explanation: there you go hope this helps also can I get brainliest
a contractor is purchasing stone tiles for a new patio. Each tile cost $3, and he wants to spend between $600 and $900 inclusive. Write an inequality that represents the number of tiles he can purchase and then figure out the possible number of tiles he can purchase
Answer:
600 ≤ 3x ≤ 900
Can purchase between 200 to 300 tiles.
Step-by-step explanation:
600 ≤ 3x ≤ 900
600 ≤ 3x and 3x ≤ 900
x ≥ 200 and x ≤ 300
Able has a younger sister and an older brother. - Able's age can be represented by x. - Able's sister is 4 years younger than him. - Able's older brother is twice as old as he is. - The combined age of all three siblings is 32. How old is Able's younger sister?
Given:
Able's age can be represented by x.
Able's sister is 4 years younger than him.
Able's older brother is twice as old as he is.
The combined age of all three siblings is 32.
To find:
The age of Able's younger sister.
Solution:
Able's age can be represented by x.
Able's sister is 4 years younger than him.
Age of Able's sister = (x-4)
Able's older brother is twice as old as he is.
Age of Able's older brother = 2x
The combined age of all three siblings is 32.
[tex]x+(x-4)+2x=32[/tex]
[tex]4x-4=32[/tex]
Add 4 on both sides.
[tex]4x=32+4[/tex]
[tex]4x=36[/tex]
Divide both sides by 4.
[tex]x=\dfrac{36}{4}[/tex]
[tex]x=9[/tex]
The age of Able is 9 years. So, age of his younger sister is
[tex]9-4=5[/tex]
Therefore, the age of Able's sister is 5 years.
Answer:
Step-by-step explanation:
QUICK HELP!! 50 POINTS!!
Find the value of x.
x=
Answer:
x = 14
Step-by-step explanation:
These angles are complementary angles, meaning they have a sum of 90°.
4x + 1 + 2x + 5 = 90
6x + 6 = 90 (Added like terms.)
6x = 84 (Subtracted 6 on both sides.)
x = 14 (Divided 6 on both sides.)
[tex]\sf \longmapsto \: (4x + 1) + (2x + 5)[/tex]
It has a sum of 90 as the given angles are complementary angles.[tex]\sf \longmapsto \: 4x + 1 + 2x + 5 = 90[/tex]
[tex]\sf \longmapsto4x + 2x + 1 + 5 = 90[/tex]
[tex]\sf \longmapsto6x + 6 = 90[/tex]
[tex]\sf \longmapsto6x = 90 - 6[/tex]
[tex]\sf \longmapsto \: 6x = 84[/tex]
[tex]\sf \longmapsto \: x = \cancel\dfrac{84}{6} [/tex]
[tex]\sf \longmapsto \: x = 14[/tex]
[tex] \boxed{\sf \boxed {{ \sf \red{\: x = 14 }}}}[/tex]
Idk why but I need an image answer for this...
8.25
x6.75
Answer: 55.6875
Step-by-step explanation:
Answer:
8.25
x6.75
Step-by-step explanation:
55.6875
0.5/10 5/100 are these ratios equal?
Answer:
No
Step-by-step explanation:
5/100 would be 0.05 as a decimal
Can someone please give me the answers thank u !!!
Answer:
D.
Step-by-step explanation:
I have been doing this in Geometry.
We know perpendicular means opposite recipicoles and opposite slopes.
so.. the slope is 3 to get the y-intercept you do this.
(1, 2) Use the points it gave you and the slope 3 and put it is y=mx + b form
2 = 3(1) + b (I do this because I don't know what b is yet) (b = y-intercept)
2 = 3 + b (subtract 3 on both sides)
-1 = b
The equation is y = 3x - 1
How can I split 166 into two even numbers?
Answer:
Step-by-step explanation:
You can split it in many ways
for example, it can 164 + 2
160 + 4
100 + 66
and many more.........
hope this helps
plz mark as brainliest!!!!!!!!!!
Answer:
166/10=16.6
166/25=6.64
Step-by-step explanation:
PLEASE HURRY XX
Find a equation that matches the graph.
Answer:
x ≥ 3
Step-by-step explanation:
The closed dot represents ≥ and ≤
The dot is located on the number "3"
The closed dot essentially shows that the solution is nothing more than 3 and up.
Let "x" be the variable we use.
x ≥ 3
Best of Luck!
The above never line shows the possible values of an variable in any expression.
Through Observation:
The arrow pointing from 3 to infinity.3 is represented by a closed dot.The value is starting from 3 to infinity.Hence, the required value of the variable can be equal to 3 or greater than 3 for that expression. This can be written as:
[tex] \large{ \boxed{ \rm{ x\geqslant 3}}}[/tex]
Carry On learning !
In the equation shown, what is the value of n? 9^7/9^n=9^2
Answer:
MMMMMMMM
Step-by-step explanation:
