find the area if each figure. round the nearest hundredth where neccessary.
Answers
Answer:
351.48cm²
Step-by-step explanation:
Heron’s Formula
Find half the perimeter (30+30+26)/2=43
It’s the square root of each side subtracted from 43, multiplied together, times 43.
√(43-30)*(43-30)*(43-26)*43=√13*13*17*43=√=123539=351.481cm²
Area of triangle is, 351. 39 cm²
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
All the sides of triangles are,
⇒ 30 cm, 30 cm, and 26 cm
We know that;
⇒ Area of triangle = √ s (s - a) (s - b) (s - c)
Where, 's' is the semi perimeter of the triangle, and a, b and c are three sides of triangle.
Here, Sides are,
⇒ a = 30
⇒ b = 30
⇒ c = 26
Hence, We get;
⇒ s = (a + b + c) / 2
⇒ s = (30 + 30 + 26) / 2
⇒ s = 86 / 2
⇒ s = 43 cm
So, The area of triangle is,
⇒ Area of triangle = √ s (s - a) (s - b) (s - c)
⇒ Area of triangle = √ 43 (43 - 30) (43 - 30) (43 - 26)
⇒ Area of triangle = √ 43 × 13 × 13 × 17
⇒ Area of triangle = 13 √ 731
⇒ Area of triangle = 13 × 27.03
⇒ Area of triangle = 351. 39 cm²
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Related Questions
The hypotenuse of right triangle ABC, line segment AC, measures 13 cm. The length of line segment BC is 5 cm.
Answers
Answer:
Step-by-step explanation:
Pythagorean theorem: In a right angle triangle, the square of hypotenuse is equal to the sum of squares of other two sides
BC² + AB² = AC²
5² + AB² = 13²
25 + AB² = 169
AB² = 169 - 25
AB² = 144
AB = √144 = √12*12
AB = 12cm
15 points :0) Thanks for the help (you'll get brainlisest)
Answers
Answer:
See below
Step-by-step explanation:
( a ) The value 1200 in this content represents the starting value, or the number of bacteria that was present in the beginning.
( b ) 1.8 represents the growth factor, or by how much more the bacteria increases, in multiples of the quantity.
( c ) As you can tell 1000 has a similar function as 1200, it models the number of bacteria present in the beginning. The difference between the studies is that the second study is present with a starting value of 1000 yet a similar growth factor, and hence will always have a smaller number of bacteria after t hours.
I'M GIVING 100 POINTS FOR THIS What is the ratio of a surface area to volume of a sphere with the following measurements? Surface Area = 300m2 Volume = 500m3 A. 500m -1 B. 0.6m -1 C. 300m-1 D. 1.7m-1
Answers
Answer:
B
Step-by-step explanation:
SA/V = 300m^2/500m^3 -------- m^2 cancel out and so d othe 100
we get 3/(5m)
Sooo, I guess that's equal to 3/5 1/m and 1/m is m^-1 so we have (B)
Answer: 500m^-1
Step-by-step explanation:
APEX
what is the value of 3m- 2, if m = 7.
Answers
Answer:
m=3
Step-by-step explanation:
3m-2=7
3(3)-2=7
9-2=7
The Value of the equation is 19.
What is a linear Equation in one variable?A linear equation is a type of equation in which every variable's degree is exactly one. In one-variable linear equations, there is only one possible solution to the equation and there is only one variable. It appears to be a straight line, either horizontally or vertically, when it is drawn on a graph.
Given equation 3m - 2
and m = 7
substitute the value of m in the equation,
3 x 7 - 2
21 - 2 = 19
Hence the value is 19.
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Translate the following phrase into an algebraic expression. Do not simplify. Use the variable names "x" or "y" to describe the unknowns.
the sum of two numbers multiplied by 7
Answers
Answer:
7x+7y=
Step-by-step explanation:
(x+y)7
used 7 to open the bracket.
7x+7y
the expression 7x + 300 represents the amount of interest that is being paid for a new tv in dollars, where x is months. what does 7x represent, and is it a term, factor, or coefficient
Answers
Answer:
7x means that you are paying for 7 months. and 7x is a term.
Step-by-step explanation:
Rules for whether its a term, coefficient, or factor:
a TERM has a variable. 7x is a term.
a COEFFICIENT is the number part of a term. in 7x, the coefficient is 7.
a FACTOR is something which is multiplied by something else. A factor can be a number, variable, term, or a longer expression.
Find the area the sector. A. 5π/3 mi² B. 9π mi² C. 34π/3 mi² D. 16π mi²
Answers
Work Shown:
x = central angle = 255 degrees
r = radius = 4
A = area of sector
A = (x/360)*pi*r^2 ... see note below
A = (255/360)*pi*4^2
A = 34pi/3
note: the formula only works if the central angle x is in degrees. If x is in radians, then use the formula A = (x/2)*r^2
0.1m + 8 - 12n when 30 and n = 1/4
Answers
0.1m + 8 - 12n when 30 and n = 1/4
= 3+8-3
= 3+8-3= 8
8
If h hot dogs cost d dollars, what is the cost, in cents, of j hot dogs?
Answers
Answer:
jd/h dollars.
Step-by-step explanation:
h hot dogs cost d dollars , therefore:
1 hot dog costs d/h dollars
- and j hot dogs cost j * d/h dollars.
Answer:
100dj/h cents.
Step-by-step explanation:
If h hot dogs is d dollars, then 1 hot dog should be:
d/h
To find the cost of j hot dogs:
d/h × j = dj/h dollars
To turn dj/h dollars into cents:
1 dollar = 100 cents
dj/h dollars = ?
dj/h × 100
= 100dj/h cents
Find the value of the expression x/y for the given values of x and y. Write your answer in the simplest form.x-5/3,y= -1/7
Answers
Answer:
X/Y=-5/3/-17.
-5/3×-1/7=-35/3.
please help me on this
Answers
Answer:
(2, 5)
Step-by-step explanation:
A 90° CCW transformation is ...
(x, y) ⇒ (-y, x)
For A(5, -2), the image point is A'(2, 5).
_____
In your mind, draw a line segment from the origin to point A. You will see that is slope is (rise)/(run) = -2/5.
When you rotate that segment 90° CCW about the origin, it will extend into the first quadrant. The rotated segment is perpendicular to the one you started with, so its slope is ...
-1/(-2/5) = 5/2
That is, it will have a rise of 5 for a run of 2. The point A' will have a x-coordinate of 2 (the run), and a y-coordinate of 5 (the rise).
A'(2, 5)
An ice cream shop is testing some new flavors of ice cream. They invent 252525 new flavors for customers to try, and throw out the 131313 least popular flavors. The shop makes 808080 cartons of each of the remaining flavors. It takes 222 cartons to get one liter (\text{L})(L)left parenthesis, start text, L, end text, right parenthesis of ice cream. How much total ice cream is in the cartons?
Answers
Answer:
480litres total ice creamStep-by-step explanation:
Total number of ice cream invented for customers to try = 25 new flavours
Amount of least popular flavors thrown out = 13 flavors
Remaining flavor nit thrown out = Total ice cream invented - amount thrown out = 25 - 13
= 12 flavors
The remaining number flavors that was produced is 12 flavors.
If 80 cartons of each of the remaining flavor was made, the total amount of cartons made = 12* 80 = 960 cartons.
Since 2 cartons contains 1 litre
960 cartons will contains (960*1/2) litres
Hence 960 cartons will contain 480litres of the ice cream.
This shows that there are total of 480 litres of ice cream in the cartons
A new youth center is being built in erie . The perimeter of the rectangular playing field is 296 yards. The length of the field is 2 yards less than double the width. What are the dimensions of the playing field?
Answers
Answer:
The dimensions are 50 yards by 98 yards
Step-by-step explanation:
If the width is w, then the length is 2w - 2. Perimeter can be expressed by 2 * (length + width), therefore:
2 * (2w - 2 + w) = 296
2 * (3w - 2) = 296
3w - 2 = 148
3w = 150
w = 50 so 2w - 2 = 2 * 50 - 2 = 98
Answer:
[tex]\Large \boxed{\mathrm{98 \ yards \cdot 50 \ yards}}[/tex]
Step-by-step explanation:
Let the length be l.
Let the width be w.
[tex]l = 2w - 2[/tex]
The perimeter of the rectangle is 296 yards.
[tex]P = 2l + 2w[/tex]
Plug in the value for l and P.
[tex]296 = 2(2w-2) + 2w[/tex]
Evaluate and solve for w.
[tex]296 = 4w - 4 + 2w \\\\296 = 6w - 4 \\\\300 = 6w \\\\50 = w[/tex]
The width is 50 yards.
Let w = 50 for l.
Evaluate and solve for l.
[tex]l = 2(50) - 2 \\ \\ l = 100 - 2 \\\\l = 98[/tex]
The length is 98 yards.
If sin²∅ + sin∅ = 1 , then what is the value of sin²∅ + sin⁴∅.
Answers
Answer:
Step-by-step explanation:
Given sin²∅ + sin∅ = 1, we are to find the value of sin²∅ + sin⁴∅. ... 2
From sin²∅ + sin∅. = 1; sin²∅ = 1 - sin∅. ... 3
Substitute equation 3 into 1
sin²∅ + sin⁴∅
= sin²∅ + (sin²∅)²
= (1 - sin∅)+( 1 - sin∅)²
open the parenthesis
= 1 - sin∅+ (1-2sin∅+ sin²∅)
= 1 - sin∅+ 1-2sin∅+ sin²∅
= 1+1-sin∅-2sin∅+sin²∅
= 2 - 3sin∅+sin²∅
Since sin²∅ = 1 - sin∅, the resulting equation becomes;
= 2 - 3sin∅+(1 - sin∅)
= 2 - 3sin∅+1-sin∅
= 3-4sin∅
Answer:
6/10
Step-by-step explanation:
The value of Sin(A) is 6/10
if AB ll CD , EF ll BC, angle bac = 65 and angle dhf = 35 find angle agh
Answers
Answer: 100
Step-by-step explanation:
You know that AB is || to CD, angle BAC ≅ ACD (this is the theorem where a line connecting the diagnose of two parallel line, the alternative interior angles are equal/ congruent)
You know that EF is || to BC, angle DHF ≅ GHC (these two are vertically opposite angle which are equal/ this is a theorem)
-------------------------------------------------------------------------
we now know the angles in ΔGHC where angle GHC=35, angle GCH=65, and angle CGH=80 (subtract other angles from 180)
angle AGH is supplementary w=angle with CGH, which means we subtract 80 from 180, we get 100 will be the angle of AGH
How do you find the answer for? 4(3x+7)=19
Answers
Answer:
3/4
Step-by-step explanation:
open the brackets by multiplication
12x+28= 19
12x= 19-28
12x= -9 (divide)
-9/12x
x= 3/4
Answer:
[tex]\boxed{x=-0.75 }[/tex]
Step-by-step explanation:
4 ( 3x + 7 ) = 19
→ Expand the brackets
12x + 28 = 19
→ Minus 28 from both sides to isolate 12x
12x = -9
→ Divide 12 from both sides to isolate x
[tex]x=-\frac{9}{12} =- \frac{3}{4} =-0.75[/tex]
cameras actual price was $ 400. after discount its price was $280. calculate the percentage reduction in the price of the camera.
Answers
Answer:
30% discount
Step-by-step explanation:
Let the percent reduction be x%
Actual price =$400
Discounted price=$280
Therefore, by the problem => [tex]400-x%400=280[/tex]%*400=280
=>[tex]400-\frac{x}{100} *400=280\\400-4x=280\\-4x=280-400\\-4x=-120\\4x=120\\x=120/40\\x=30[/tex]
There was 30% discount on the camera
Given: g(x) = x-4 and
h(x) = 2x-8.
What are the restrictions on the domain of gh?
Answers
Answer:
Step-by-step explanation:
6
Benjamin works at a printing company. He
is making T-shirts for a high school volleyball
team. The press he runs can imprint 3 T-shirts
per minute with the school's mascot.
Answers
Answer:
The independent quantity is time and the dependent quantity is T-shirt printed
Step-by-step explanation:
We are asked to determine the dependent and independent quantity.
An independent quantity is a quantity that is not dependent on other quantities while a dependent quantity is a quantity that depends on other quantity. In the the question, the number of T-shirts being made depends on the amount of time the machine works making 3 T shirts per minute, this means that the number of T-shirts made is dependent on the time.
The independent quantity is time and the dependent quantity is T-shirt
using the Pythagoras rule. A rectangular hockey field is 50m long and 35m wide calculate the length of it's diagonal
Answers
Answer:
[tex]\huge\boxed{The\ length\ of\ Diagonal = 61 \ m}[/tex]
Step-by-step explanation:
Length = 50 m
Width = 35 m
Using Pythagorean Theorem:
[tex]c^2 = a^2 + b^2[/tex]
Where c = diagonal , a = length (50 m) and b = width (35 m)
=> [tex]c^2 = 50^2+35^2[/tex]
=> [tex]c^2 = 2500 + 1225[/tex]
=> [tex]c^2 = 3725[/tex]
Taking sqrt on both sides
=> c = 61 m
The length of Diagonal = 61 m.
Step-by-step explanation:
a squared +b squared= c squared
where c is the hypotenuse
35^2+50^2=c^2
1225+2500=c^2
3725=c^2
c^2=61.0328
[tex] \frac{1}{k} - \frac{1}{4} = 5[/tex]
solve the above by using change of subject
Answers
Answer:
4/21
Step-by-step explanation:
Given:
1/k - 1/4 = 5Subject is k, so the following steps are to solve it for k:
1/k = 5+ 1/4 ⇒ adding 1/4 to both sides1/k = 21/4 ⇒ simplifying the fraction on right sidek = 4/21 ⇒ inverting both sides to get answerAnswer is 4/21
I need answers 32-39 ASAP, thanks!
Answers
Answer:
-7 Negative Seven
Step-by-step explanation:
32-39= -7
what is all the real solution of the equation
Answers
Answer:I think its C
Step-by-step explanation:
Answer:
x=1, or 6, or 4 (D)
Step-by-step explanation:
x³-11x²+34x-24=0 solve by factorizing
(x-1)(x-6)(x-4)=0
x-1=0
x=1
if x-6=0
x=6
x-4=0
x=4
check : x³-11x²+34x-24=0
x=1 : (1)³-11(1)²+34(1)-24=0
1-11+34-24=-35+35=0 (correct)
x=6 : 6³-11(6)²+34(6)-24=0 (correct)
x=4 : 4³-11(4)²+34(4)-24=0 (correct)
3y when y=45 ........
Answers
Answer:
[tex]135[/tex]
Step-by-step explanation:
[tex]3y = 3 \times 45 = 135[/tex]
Hope this helps ;) ❤❤❤
(b) String P is 3.8 m long. The length of String Q is 135% of the length of String P and
95% of the length of String R. Find the length of String R.
Answers
Answer:
Hey there!
String P is 3.8 m long.
String Q is 3.8(1.35), or 5.13 m long.
String R is 3.8(0.95), or 3.61 m long.
Let me know if this helps :)
Please help!! Use the imaginary number I to rewrite the equation.
Answers
Answer:
poooooooooooooooop mark me as brainliest and thank me and rate me 5 because im white
Step-by-step explanation:
Find the common ratio of the geometric sequence: 8, -2, 1/2, -1/8
Answers
Answer:
-1/4
Step-by-step explanation:
You just need to see what number is being divided from each term
What is 1/2 of a right angle called
Answers
Answer:
acute angle
Step-by-step explanation:
acute = less than 90 degrees
right = exactly 90 degrees
obtuse = more than 90 degrees
90 divided by 2 = 45
45 is less than 90 so acute angle
1/2 of a right angle is called an acute angle. The correct answer would be an option (D).
What are the vertical angles?When two lines intersect at a location, vertical angles are generated. They are always equal to each other.
An angle with a measure of 1/2(90°) : 45°
As per the given question, the required solution would be as:
Straight: An angle with a measure of exactly 180° is considered straight. 45° is not a straight angle.
Obtuse: An angle with a measure greater than 90° and less than 180° is considered obtuse. 45° is not an obtuse angle.
Acute: An angle with a measure less than 90° is considered acute. 45° is an acute angle.
Thus, 1/2 of a right angle is called an acute angle.
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How many pennies could you have if: When you break the pennies into groups of 2, you have 1 penny left over?
Answers
Answer:
Bruh the answer is 5.
Step-by-step explanation:
2 groups of 2, 1 left over. It's simple.
2
mº + 7m-6
Evaluate the expression when m=-4
Answers
Step-by-step explanation:
m² + 7m - 6
(-4)² + 7(-4) - 6
16 - 28 - 6
- 18