Answer:
[tex]48.5cm^{2}[/tex]
Step-by-step explanation:
This shape is actually just a rectangle with a missing triangle. We can first find the area of the rectangle with [tex]7*8=56[/tex] and subtract the triangle.
Area of missing triangle = [tex]\frac{1}{2} *b*h[/tex] (b is the base and h is the height)
Base = [tex]8-3=5[/tex]
Height = [tex]7-4=3[/tex]
Area of missing triangle = [tex]\frac{1}{2} *5*3=7.5[/tex]
Area of the figure: [tex]56-7.5=48.5[/tex]
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Alternatively, you can find the area of each individual shape and add them all up.
Area of the rectangle: [tex]8*4=32[/tex]
Area of square: [tex](7-4)*3=9[/tex]
Area of triangle: [tex]\frac{1}{2} *(8-3)*(7-4)=\frac{1}{2} *5*3=7.5[/tex]
Total Area: [tex]32+9+7.5=48.5[/tex]
Answer:
49.2
Step-by-step explanation:
I first found the area (length x Width) of the rectangle which is 8x4= 32
Then I subtracted 7cm and 4cm to find the width of the square which is 3cm
To find the area of the square multiple 3x3= 9
Then to find the area of the triangle I subtracted 8cm and 3cm to get the length of the triangle which is 5cm
You already know the width of the triangle (3cm) so you multiply 5cm x 3cm to get 15, but snice its a triangle you’re going to divide 15 by 2 = 7.2
Lastly your going to add up all those numbers :
32+9+7.2 = 49.2
So the area of the triangle is 49.2
What is the answer for 4x+3=36
[tex]4x + 3 = 36\\4x = 36 - 3\\4x = 33\\x = \frac{33}{4}[/tex]
A text font fits 12 characters per inch. Using the same font, how many characters can be expected per yard of text? There are 12 inches in a foot, and 3 feet in a yard. 36 characters 144 characters 360 characters 432 characters
432 characters can be expected to fit per yard of text. Therefore, option D is the correct answer.
Given that, a text font fits 12 characters per inch.
We need to find how many characters can be expected per yard of text.
How to convert yards to inches?To convert a yard measurement to an inch measurement, multiply the length by the conversion ratio. The length in inches is equal to the yards multiplied by 36.
Let x be the number of characters to be used in a yard.
12 characters / in = x/ 36 in
(12 characters * 36 in) / in = x
x = 432 characters
Therefore, option D is the correct answer.
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the answer is 432 characters
A rectangular prisms base has an area of 40cm2.the prisms height is 5cm .what is the volume of the prism?
Answer:
5
Step-by-step explanation:
5679
factorise 9(a+b)^2 + (a+b) -8
Answer:
[tex](9a+9b-8)(a+b+1)[/tex]
Step-by-step explanation:
[tex]9(a+b)^2 + (a+b)-8[/tex]
Expand [tex](a+b)^2[/tex]
[tex]9(a^2+2ab+b^2)+a+b-8[/tex]
[tex]9a^2+18ab+9b^2+a+b-8[/tex]
Now it is time to think.
Once
[tex]9a^2=9a \cdot a[/tex]
[tex]9b^2=9b \cdot b[/tex]
[tex]18ab=9ab+9ab[/tex]
[tex]-8=-8 \cdot 1[/tex]
We can get something in the format
[tex](9a+9b-8)(\text{some expression here})[/tex]
From the conclusions above,
[tex](9a+9b-8)(a+b+1)[/tex]
Classify the following triangle. Check all that apply.
Answer:
Acute and Straight
Step-by-step explanation:
If y is directly proportional to x and y = 6 when x = 2, what is the proportion equation?
Answer:
y = 3x
Step-by-step explanation:
Direct proportion equation is
y = kx
6 = k*2
Divide each side by 2
6/2 = 2k/2
3 =k
The equation is y = 3x
Formula for direct proportion: y = kx
Solution:
6 = 2k
~Divide 2 to both sides
3 = k
Best of Luck!
Simplify 24 - 15 - 3+ 2.6.
O A. 30
O B. 31
O C. 126
O D. 15
Answer:
D
Step-by-step explanation:
Given the function f(x)=2x-7. What is x when f(x)=17?
Answer:
x = 12
Step-by-step explanation:
Step 1: Define
f(x) = 2x - 7
f(x) = 17
Step 2: Substitute
17 = 2x - 7
Step 3: Solve for x
Add 7 on both sides: 24 = 2x
Divide both sides by 2: 12 = x
Step 4: Check
f(12) = 2(12) - 7
f(12) = 24 - 7
f(12) = 17
Answer:
f(17)=2(17)-7
=34-7
=27
Find the value of the expression -1/3-(-5/12).
Answer:
1/12
Step-by-step explanation:
Amy buy 5 pounds potatoes for $2.50. How much does 1 pound of potatoes weight? (What is the unit rate?)
Answer:
$0.50
Step-by-step explanation:
If there are 5 pounds of potatoes for $2.50, you must divide to find the unit rate.
$2.50 / 5 = $0.50
1 pound of potatoes costs $0.50
Answer:
0.5 $/pound
Step-by-step explanation:
[tex]5[/tex] pounds ⇒ [tex]2.50$[/tex]$to khow much dollars one 1 pound costs, we must divide the price of 5 pounds by 5
[tex]\frac{2.50}{5} = 0.5[/tex] $/ pound2.5 is in dollars and 5 is in pounds so the rate unit is $/pound
For a given recipe, 10 cups of flour are mixed with 20 cups of sugar. How many cups of flour should be used if 4 cups of sugar are used? Assuming a constant ratio, fill out the table of equivalent ratios until you have found the value of x.
Answer:
2
Step-by-step explanation:
If 20 cups are used on the first recipe then 4 are used on the second, the way to find the answer is to divide 20 by 4. 20 divided by 4 will get 5. Now we have to divide the 10 cups of flour by 5 which in the end will get 2.
so a son and dad went on a fishing trip and the got in to a car accident the dad died and the son needed surgery and the doctor said no why though
Answer:
if the condition of the son is very critical
a surgeon will say NO
Because after a successful operation, the son will become like a vegetable
and there's no point of doing so.
It's a torture to the son for the rest of his life.
Options are A. 17 B. 50 C. 19 D.21
Answer:
C. [tex]19[/tex]
Step-by-step explanation:
BD = DC because angles ADC and ADB are right angles.
Thus, [tex]4x-5=2x+7[/tex]
Add 5 to both sides:
[tex]4x-5+5=2x+7+5[/tex]
[tex]4x=2x+12[/tex]
Subtract 2x from both sides:
[tex]4x-2x=2x+12-2x[/tex]
[tex]2x=12[/tex]
Divide both sides by 2:
[tex]\frac{2x}{2}=\frac{12}{2}[/tex]
[tex]x=6[/tex]
DC [tex]=4x-5[/tex]
[tex]=4(6)-5[/tex]
[tex]=24-5[/tex]
[tex]=19[/tex]
16) Evaluate the expression with its given values.
hi idk if it’s right but could anyone help at least if so ty
fully simplify only sing positive exponents:
3xy^2/9x^8y^6
Answer:
Step-by-step explanation:
3/9 = 1/3
xy^2/x^8y^6 = 1/x^(8-1)y^(6-2) = 1/x^7y^4
therefore, 1/3x^7y^4
If EF=6 and EG=23 find the value of FG
Answer:
FG = 17
Step-by-step explanation:
EF=6 and EG=23
find the value of FG
6
E-------------F-----------------------------------G
|<-----------------------23---------------------->|
EF + FG = 23
6 + FG = 23
FG = 23 - 6
FG = 17
Find the reciprocal of 5.
Answer:
0.2 is the answer
Step-by-step explanation:
Answer:
0.2
Step-by-step explanation:
5^-1=0.2
What is the best first step for solving the equation 5 = 3x - 4? a. Add 4 to both sides of the equation. b. Subtract 4 from both sides of the equation. c. Multiply both sides of the equation by 3 d. Divide both sides of the equation by 3.
Answer:
A. Add 4 to both sides of the equation.
Step-by-step explanation:
Isolate your variable by using inverse operations.
Solve the linear equation: 3(4 + 2b) - b = 27 A b = 15 B b = 5 C b = 3 D b = -3
Answer:
Multiply the numbers in parentheses by 3.
Which gives you 12 + 6b - b =27
Combine like terms
12 + 5b = 27
Then subtract 12 from both sides
Which leaves you with
5b = 15
Divide both side by 5
which gives you
answer C
what is 125.2 X 3 3/4=?
Answer: 31.3x33
Step-by-step explanation:
Did the test :)
can someone help me with this geometry question?
Answer:
(-1,4.5)
Step-by-step explanation:
You would have to use the formula for midpoint. 5+-3/2= -1
3+6/2= 4.5 which would be -1 for x and 4.5 for y.
The boiling point of three components A, B and C of petroleum are 120○C, 70○C, 250○C respectively. If a mixture of these three is fractionally distilled, which of these will be obtained at the bottom of the distillation column?
Answer:
Mustaali Chill Bro
Component C, with a boiling point of 250°C, will be obtained at the bottom of the distillation column.
The component with the highest boiling point will be obtained at the bottom of the distillation column.
In this case, component C has the highest boiling point at 250°C, followed by component A at 120°C, and component B at 70°C. Therefore, during fractional distillation, component C will be obtained at the bottom of the distillation column.
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A movie club charges a one-time fee membership fee of $25. This allows members to purchase movies for $7 each. Lincoln is a member of the movie club and has spent a total of $60. How many movies has Lincoln purchased
Answer:
he purchased 5 movies bro
Step-by-step explanation:
Can v11 be classified as a rational
Answer:
yes it should
Step-by-step explanation:
What is 3.000 in standard notation?
Answer:
3 x 10(to the 3rd power)
Step-by-step explanation:
[tex]x = 8[/tex]I need help solving this.
Answer:
2
Step-by-step explanation:
x³ = 8
∛8 = 2
found by 2 • 2 • 2 = 4 • 2 = 8
25
Highest Temp(°F)
What is the
difference
in the low
and high
temp?
0
Lowest Temp °F)
-25
Answer:
there both the same number its just that one is on top and the other is on bottom
find the value of x
Answer:
x = 68°
Step-by-step explanation:
∠ DCB = ∠ EDC = 27° ( alternate angles )
Thus ∠ ECB = 23° + 27° = 50°
The sum of the 3 angles in a triangle = 180°, thus
x = 180° - (62 + 50)° = 180° - 112° = 68°
Answer:
68°
Step-by-step explanation:
DE ║ BC
So, ∠DBC = ∠ADE = 62° (∵ Corresponding Angles are equal )
In triangle DEC ,
∠EDC+ ∠ECD = ∠AED (∵ Exterior Angle Sum Property of a triangle )
⇒ ∠AED = 23° + 27° = 50°
Now in triangle AED ,
∠EAD + ∠ADE + ∠AED = 180°
⇒ x° + 62° + 50° = 180°
⇒x° = 180° - 112° = 68°
1. Evaluate the function below for the given input value.
f(x) = 4x – 6 for f (2)
Your answer
Answer:
[tex]f(2) = 4(2) - 6[/tex]
[tex]f(2) = 8 - 6[/tex]
[tex]f(2) = 2[/tex]
Hope it helpz
Putting x = 2 in f(x)
f(2) = 2.
What Is a function ?A function is an mathematical expression where we have an independent variable and a dependent variable.The value of the independent variable determines the value of the independent variable.There are many types of functions like alzebraic functions, trigonometric functions, exponential functions etc.
In the given question
f(x) = 4x - 6
when, x = 2.
f(2) = (4×2) - 6
f(2) = 8 - 2
f(2) = 2.
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❗️URGERNT❗️
I will give brainliest if your response comes with an explanation.
During a heavy rainstorm, a city in Florida received
12 1/4 inches of rain in 25 1/2 hours. What is the approximate rainfall rate in inches per hour?
Answer: 0.48 in
Step-by-step explanation:
The problem asks for unit rate. To solve, let's convert the fractions to decimals.
[tex]12\frac{1}{4} =\frac{49}{4} =12.25[/tex]
[tex]25\frac{1}{2}=\frac{51}{2}=25.5[/tex]
Now that they are in decimals, we can set up a proportion.
[tex]\frac{12.25 in}{25.5 hrs} =\frac{x}{1 hr}[/tex] [cross multiply]
[tex]12.25=25.5x[/tex] [divide both sides by 25.5]
[tex]x=0.48[/tex]
Now, we know that there was approximately 0.48 in of rainfall per hour.