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What is the area of the triangle?
7 ft.
4 ft.
6 ft.
square feet
Answers
Answer:
Area of the triangle = 12 square feet
Step-by-step explanation:
Area of a triangle is calculated by the formula,
Area = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
From the picture attached,
Height of the given triangle = Vertical distance of the top vertex = 4 feet
Base of the triangle = 6 feet
Area of this triangle = [tex]\frac{1}{2}(6)(4)[/tex]
= 12 square feet
Therefore, area of the given triangle will be 12 square feet.
Related Questions
How would you solve this?
Answers
Answer:
The area of the black square is equal to the sum of the areas of the gray squares.
Answer:
The area of the black square is equal to the sum of the areas of the gray squares.
Prove that a positive integer $n \geq 2$ is prime if and only if there is no positive integer greater than $1$ and less than or equal to $\sqrt{n}$ that divides $n$
Answers
Answer:
Proof given by contradiction.
Step-by-step explanation:
Given that:
[tex]n \geq 2[/tex]
To prove:
[tex]n[/tex] is prime if and only if no positive integer > 1 and [tex]\leq[/tex] [tex]\sqrt n[/tex] divides [tex]n[/tex].
Solution:
First of all, let [tex]n[/tex] is a composite number i.e. not a prime number such that:
[tex]n =a\times b[/tex]
and [tex]a[/tex] and [tex]b[/tex] are prime and [tex]a[/tex] divides [tex]n[/tex] and [tex]b[/tex] also divides [tex]n[/tex].
Let [tex]\sqrt n = p[/tex]
or [tex]n = p\times p[/tex]
1. [tex]\underline{a < p}[/tex]:
[tex]a[/tex] is prime and is a divisor of [tex]n[/tex].
2. [tex]\underline{a>p}[/tex]:
[tex]n = a\times b = p\times p[/tex]
We have assumed that [tex]a > p \Rightarrow b <p[/tex]
[tex]b[/tex] is a prime number and is a divisor of [tex]n[/tex].
But we are given that no prime number [tex]\leq \sqrt n[/tex] divides [tex]n[/tex] but we have proved that [tex]b < \sqrt n[/tex] divides [tex]n[/tex].
So, it is a contradiction to our assumption.
Therefore, our assumption is wrong that [tex]n[/tex] is a composite number.
Hence, proved that [tex]n[/tex] is a prime number.
Which property is being used:
(4y + 1) * 0 = 0
A. Inverse Property
B. Identity Property
C. Property of zero
D. Commutative Property
Answers
Answer:
property of zero.
Step-by-step explanation:
It is given that, (4y + 1) × 0 = 0 . We need to tell out of four given options, which property is used in this case.
The property of zero states that if any number is multiplied by 0, then the answer is equal to 0.
Here, the number is (4y+1). It is multiplied by 0. It means that the result is 0.
Hence, it shows "property of zero".
Jana ran every day for 8 days.
•She ran a total of 50 miles
•She ran the same number of miles each day.
A. 4/25
B. 25/4
C. 8/25
D. 25/8
Answers
Answer:
B. 25/4
Step-by-step explanation:
to calculate how many miles Jana ran everyday, divide the total distance by number of days
50/8
simplify, 25/4
the answer is B
Solve the following by opening the parenthesis and then applying MDAS. 52−{32+[9−(4−3)]}
Answers
Answer:
40
Step-by-step explanation:
4-3=1
9-1=8
32+8=40
52-40=12
12 is your final answer
What is the square root of -1
-i
i
-1
1
Answers
Answer:
i
Step-by-step explanation:
√-1 is always going to be imaginary i
That is a math rule needed to memorize.
Answer:
i
Step-by-step explanation:
The original price of a sweatshirt is $45.00. If the sweatshirt is marked down 20% , what is the new price?
Answers
Answer: 36
Step-by-step explanation:
The 100% of the sweater is 45, we multiply 45 per 20 divided by 100, that will give you 9, you want to rest 45-20%
45-9=36
Answer: 36
Step-by-step explanation: The 100% of the sweater is 45, we multiply 45 per 20 divided by 100, that will give you 9, you want to rest 45-20%
45-9=36
steps to solve x/8-5=-1
Answers
Answer: x = 32
Step-by-step explanation:
x/8 - 5 = -1
Add 5 both sides : x/8 = 4
Multiply both sides by four: x=4 times 8
PLEASE help me. I am stuck on this question for a long time. This is a graph problem
Answers
Answer:
plot 2
Step-by-step explanation:
put number in order from least to highest:
1 ,3,4,5,8,8,9,11,11,11,14,15,15,18,19,19,19,21,22,23,
from 1 to 5 4 terms
5 to 10 3 terms
from 10 to 15 4 terms (since you can put the 15 in either 10 to 15 or 15to 20)
from 15 to 20 6 terms
from 20 to 25 3
i need help please!
Answers
Answer:
[tex]\Huge \boxed{y=3x+6}[/tex]
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
The slope can be found from two points.
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The two points from the graph are (1, 9) and (2, 12).
Plugging in the values and evaluating.
[tex]\displaystyle m=\frac{12-9}{2-1}[/tex]
[tex]\displaystyle m=\frac{3}{1}[/tex]
[tex]m=3[/tex]
The slope of the line is 3.
The y-intercept of the line is where the line cross the y-axis.
The line crosses the y-axis at (0, 6).
[tex]b=6[/tex]
The slope-intercept form of the line is:
[tex]y=3x+6[/tex]
3x+1=43 but you have to regroup/ divide the number next to x
Answers
Answer:
x = 14
Step-by-step explanation:
3x+1=43
Subtract 1 from each side
3x+1-1=43-1
3x = 42
Divide by 3
3x/3 = 42/3
x =14
Answer:
x =14
Step-by-step explanation:
How many terms are in the expression shown below?
5x + 3y - 6
Answers
Answer: 3 terms
Step-by-step explanation:
each term is separated by the plus or minus symbol
Answer:
3 terms
Step-by-step explanation:
5x + 3y - 6
We cannot combine any terms so there are 3 different terms
5x, 3y, -6
Y'all I am struggling Use the following functions to find each value below. f(x)=5x; g(x)=−2x+1; h(x)=x2+6x+8
Answers
Answer:
see below the first three problems
Step-by-step explanation:
f(g(-2))
First, find g(-2) using function g(x). Then use that value as input for function f(x).
g(x) = -2x + 1
g(-2) = -2(-2) + 1
g(-2) = 5
f(x) = 5x
f(5) = 5(5)
f(5) = 25
f(g(-2)) = 25
g(h(3))
First, find h(3) using function h(x). Then use that value as input for function g(x).
h(x) = x^2 + 6x + 8
h(3) = 3^2 + 6(3) + 8 = 9 + 18 + 8
h(3) = 35
g(x) = -2x + 1
g(35) = -2(35) + 1 = -70 + 1
g(35) = -69
g(h(3)) = -69
f(g(3a))
First, find g(3a) using function g(x). Then use that value as input for function f(x).
g(x) = -2x + 1
g(3a) = -2(3a) + 1
g(3a) = -6a + 1
f(x) = 5x
f(-6a + 1) = 5(-6a + 1)
f(-6a + 1) = -30a + 5
f(g(3a)) = -30a + 5
It takes 3 cats 3 minutes to catch 3 mice. How many cats are needed to catch 99 mice in 99 minutes?
Answers
Greetings,
I hope you and your family are staying safe and healthy!
So basically, we have 3 cats catching 3 mice in 3 minutes. That means 1 cat is catching 1 mouse, but it takes it 3 mn.
Now if we have 99 mice and we need to catch them in 99 minutes, we will need 99 cats.
99 cats will catch 99 mice in 99 minutes...meaning each cats will take 1 minute to catch their mice.
----------------
If you find my answer helpful, please kindly give 5 stars and press the heart. Thanks!
Factor the trinomial below.
x² + 5x – 24
O A. (x-8)(x+3)
O B. (x-3)(x+8)
O C. (x - 4)(x+6)
O D. (x-6)(x+4)
Answers
Answer:
B.(x-3)(x+8)
Step-by-step explanation:
product of -3 and 8 is -24 and sum of -3+8 is +5
Answer:
(x+8) (x-3)
Step-by-step explanation:
x² + 5x – 24
What 2 numbers multiply to -24 and add to 5
8*-3 = -24
8+-3 = 5
(x+8) (x-3)
Is the square root of 100 000 000 irrational
Answers
Answer:
No.
Step-by-step explanation:
100 000 000 = 10^8
So its square root = (10^8)^1/2
= 10^4
= 10,000.
which is rational.
You can check out this answer on a calculator. It is correct.
Find the solutions to 8x^2-56x=0 check all that apply
Answers
Answer:
[tex]\boxed{ x = 0 \ \ OR \ \ x = 7}[/tex]
Step-by-step explanation:
[tex]8x^2 -56 = 0[/tex]
Greatest common factor = 8x
=> [tex]8x(x-7) = 0[/tex]
Setting results equal to 0
Either:
8x = 0 OR x-7 = 0
x = 0 OR x = 7
Answer:
x= 0 or 7
Step-by-step explanation:
if you factor out the equation by 8, you get 8x(x-7)=0, which if you simplify that, gets you 0 or 7.
. Multiply (5x2 + x − 4)(x + 2).
Answers
Answer: 5x2+3x -dx x3 2x2
Step-by-step explanation:
Please Help! 15 Points. Which of the following properties were used to rewrite the expression (8u)v+9w as 9w+8(uv)? There are two correct answers. A. Commutative Property of Addition B. Commutative Property of Multiplication C. Associative Property of Addition D. Associative Property of Multiplication
Answers
Answer:
A. Commutative Property of Addition D. Associative Property of MultiplicationStep-by-step explanation:
The commutative property lets you swap the order of operands. Here, the operands for addition, (8uv) and (9w), are interchanged. The Commutative Property of Addition lets you do that.
__
The associative property lets you group operands differently. Here, the operands in the product 8uv are changed from the grouping (8u)v to the grouping 8(uv). The Associative Property of Multiplication lets you do that.
Answers:
A. Commutative Property of Addition &D. Associative Property of MultiplicationStep-by-step explanation:
Now let's see why these are the correct answers:
___________________________________________________________
Commutative Property of Addition states that changing the order of the addends will not affect the sum. For example 5 + 4 and 4 + 5 are both 9.
Here, this is a correct answer because 9w is moved from the end of the equation to the front.
___________________________________________________________
Commutative Property of Multiplication states that changing the order of multiplicands does not change the product. For example 5 x 2 and 2 x 5 both equal 10.
Here, this is not a correct answer because the multiplicands are associated differently in the parentheses.
___________________________________________________________
Associative Property of Addition states that the way in which addends are grouped within parentheses doesn't change the sum. For example (2 + 3) + 4 or 2 + (3 + 4) both equal 9.
Here, this is not a correct answer because the addends are not in parentheses, which is the only time this property applies.
___________________________________________________________
Associative Property of Multiplication states that the way in which multiplicands are grouped within parentheses does not affect the product. For example 2 x (2 x 2) and (2 x 2) x 2 both equal 8.
Here, this is a correct answer because the multiplicands are within parentheses and are regrouped in the second equation, the (8u)v having been regrouped as 8(uv).
___________________________________________________________
I AM ALWAYS HAPPY TO HELP :)There are (32)4 ⋅ 30 bacteria in a petri dish. What is the total number of bacteria in the dish?
Answers
The total number of bacteria in the dish is 31457280
How to determine the total number?The expression is given as:
Total = (32)^4 * 30
Start by evaluating the exponent
Total = 1048576 * 30
Next, evaluate the product
Total = 31457280
Hence, the total number of bacteria in the dish is 31457280
Read more about products at:
https://brainly.com/question/10873737
#SPJ1
Answer:
A (3^8)
Step-by-step explanation:
I have this question on my test. I'm just assuming the person didn't put ^.
(3^2)^4 times 3^0
Find the volume and total surface area of the composite figure below.
Answers
Answer:
Volume = 6467.492mm³
Surface area = 1332.035mm²
Step-by-step explanation:
volume of a cone is [tex]\pi[/tex]r²h. V=[tex]\pi[/tex]10²(24)=7539.822mm³
volume of a sphere is 4/3[tex]\pi[/tex]r³. V=4/3[tex]\pi[/tex](8³)=2144.66mm³
Since it's a half of a sphere, it would be 1072mm.33³
7539.822-1072.33=6467.492mm³
Surface area of a cone is [tex]\pi[/tex]r(r+√h²+r²)=1130.97
area of a circle= [tex]\pi[/tex]r²=201.06
surface area of a sphere is 4[tex]\pi[/tex]r²=804.25
Since it's a half sphere, it would be 402.125
1130.97-201.06+402.125=1332.035mm²
How to do this question plz answer my question
Answers
Answer:
$121.82
Step-by-step explanation:
Okay, this is kind of complex, so let's go step by step.
First, we want to find the area of the rectangular lawn - we can do this by multiplying the length and width. The length is 100 and the width is 45 so [tex]45\cdot100=4500[/tex] m² is the area of the rectangle.
However, there are 3 ponds in which the grass seeds will not be going - so we need to find the area of all 3 of these circles and subtract it from 4500 (our rectangle area).
The area of a circle is represented by the formula [tex]\pi r^2[/tex]
The diameters are given here, which is double the radius, so to find the radius of each circle let's divide the diameters by 2.
First circle's radius: [tex]20\div2=10[/tex]
Second circle's radius: [tex]10\div2=5[/tex]
Third circle's radius: [tex]5\div2=2.5[/tex]
Now let's find the area of each circle.
First Circle: [tex]\pi \cdot10^2 = \pi\cdot100=3.14\cdot100=314[/tex]
Second Circle: [tex]\pi\cdot5^2 = \pi \cdot25 = 3.14\cdot25=78.5[/tex]
Third Circle: [tex]\pi \cdot 2.5^2 = \pi \cdot6.25 = 3.14\cdot6.25=19.625[/tex]
Adding all of these values gets us 412.125.
Now we can subtract from this from 4500 to get us 4087.875
If the grass seeds that cost £1.49 cover 50m² each, then we need [tex]4087.875\div50=81.7575[/tex] bags.
Each bag costs £1.49, so the total cost is [tex]81.7575\cdot1.49\approx121.82[/tex]
Hope this helped!!
What is the value of (-7+3i)+(2-6i)? A)-9+9i B)-5+9i C) -9-3i D) -5-3i
Answers
Answer:
D
Step-by-step explanation:
Add real numbers and add imaginary numbers
(-7 + 3i)+(2 - 6i) = -7 + 2 + 3i - 6i
= - 5 - 3i
[tex] 👋 [/tex] Hello ! ☺️
Step-by-step explanation:
•What is the value of (-7+3i)+(2-6i)?
[tex] (- 7 + 3i) + (2 - 6i) = ( - 7 + 2 + 3i - 6i) = - 5 - 3i [/tex]
(-7+3i)+(2-6i) = [tex]\boxed{\color{gold}{ -5-3i}} [/tex]
[tex]<marquee direction="left" scrollamount="2" height="100" width="150">💘Mynea04</marquee>[/tex]
What is the next step when solving the following equation?
8x + 8-6 = 60 - 24x - 20
8x + 2 = 40 - 24x
8x + 24x + 2 = 40 - 24x + 24x
32x + 2 = 40
Answers
Answer:
8x + 2 = 40 - 24x
Step-by-step explanation:
8x + 8-6 = 60 - 24x - 20
Next step is simplification and is:
8x + 2 = 40 - 24xThe following steps:
8x + 24 x + 2 = 4032x + 2= 4032x = 40 - 232x = 38x = 38/32x = 19/16what is 11 to the power of 8 over 11 to the power of 4 equivalent to
Answers
Answer:
14,641.
Step-by-step explanation:
214,358,881 ÷ 14,641 = 14,641.
what’s the answer choice?????
Answers
Answer: C
Step-by-step explanation:
how do you solve
2/5x+10=0
Answers
Answer:
x = -25
Step-by-step explanation:
Step 1: Write out equation
2/5x + 10 = 0
Step 2: Subtract 10 on both sides
2/5x + 10 - 10 = 0 - 10
2/5x = -10
Step 3: Multiply both sides by 5/2
5/2(2/5x) = -10(5/2)
x = -50/2
x = -25
A woodworker made 60 decorative shelves to sell at a fair. 30% of the
shelves were made out of maple wood. How many maple shelves does he
have to sell?
Answers
18 shelves he needs to sell
For the given word problem, identify the rate of change. Gasoline at a particular gas station costs $2.78 per gallon. If Cory buys $18 of gas, how many gallons did he buy? A. 1 B. $18 C. g D. $2.78
Answers
Answer:
Cory bought 6.47 gallons
rate of change is $2.78 per gallon
Step-by-step explanation:
cost of gas per gallon = $2.78
it means that if one buy 1 gallon he will have to pay $2.78 and similary for each increase in 1 gallon of gallon gas he will have to pay $2.78.
Thus, rate of change is cost of gas per gallon as cost to buy gas changes with the change in quantity of gallon.
Let the quantity of gas bought be x gallon.
Total cost for x gallons = cost of gas per gallon*x = 2.78x
Given that total money paid by him is $18
2.78x = 18
x = 18/2.78 = 6.47
Thus, Cory bought 6.47 gallons
rate of change is $2.78 per gallon
Find the value of the variable. if Y is between X and Z.
segment XY = 4a and segment YZ = 9a and segment XZ = 6a+24
Answers
Answer:
[tex]\bold{a = \dfrac{24}{7}}[/tex]
Step-by-step explanation:
Kindly refer to the attached for the values labelled to the line XZ.
The point Y is in between XZ.
It can be clearly observed that XZ is made up of sum of two lines XY and YZ.
So, we can write:
XZ = XY + YZ ....... (1)
We are given the values of line segments:
XY = 4a
YZ = 9a and
XZ = 6a+24
To find: Value of variable 'a'.
Solution:
Putting all the values in equation (1):
[tex]6a+24 = 4a + 9a\\\Rightarrow 6a+24=13a\\\Rightarrow 7a=24\\\Rightarrow \bold{a = \dfrac{24}{7}}[/tex]
So, value of variable is
[tex]\bold{a = \dfrac{24}{7}}[/tex]