Step-by-step explanation:
subtract b to get P-b=2a. divide each side by 2 to get (P-b)/2=a
If one of the diagonals of a rectangle is 20cm and the difference between the length and the width is 4cm. What is the area of the triangle
Answer:
192cm²
Step-by-step explanation:
The diagonal of the rectangle is expressed using the formula:
d = √l²+w²
l is the length
w is the width
Given d = 20
20 = √l²+w²
400 = l²+w² .... 1
Since the difference between the length and the width is 4cm, then;
l - w = 4 ... 2
l = 4 + w
Substitute equation 2 into 1;
400 = (4+w)²+w²
400 = 16 +8w + w² +w²
400 = 16 + 8w + 2w²
2w²+8w - 384 = 0
w²+4w - 192 = 0
w = -4±√4²-4(-192)/2
w = -4±√16+768/2
w = -4±28/2
w = -4+28/2
w = 24/2
w = 12
Since l = w+4
l = 12+4
l = 16
Area of the rectangle = 16 * 12
Area of the rectangle = 192cm²
Answer:
rytytyf
Step-by-step explanation:
yiyiuyiuy
Which of these triangles appears notto be congruent to any others shown
here? Check all that apply.
A. Triangle A
B. Triangle B
C. Triangle C
D. Triangle D
E. Triangle E
F. Triangle F
Write an algebraic expression or equation to represent each word phrase.
Seventeen increased by twice a number, n
Answer:
2n + 17
Step-by-step explanation:
Evaluate 3m - 5 when m=9
Thank you!!’
In triangle DEF, CG = (x + 5) units and DG = (3x - 2) units.
Triangle D E F has centroid G. Lines are drawn from each point to the midpoint of the opposite side to form line segments D C, E B, F A.
[Figure may not be drawn to sacle]
What is DG?
12 units
17 units
34 units
51 units
A centroid is the intersection point of the medians of a triangle. The required length of DG is 2.4 unit.
What is a triangle?A triangle is a two dimensional shape bounded by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.
Given that,
There is a triangle ΔDEF.
The centroid of the given triangle is G.
The medians of the triangle are DC, EB and FA.
CG = (x + 5)
DG = (3x - 2)
Here, CG and DG are parts of the median DC.
Since, centroid of a triangle divides its each medians into the ratio of 2 : 1
in the direction from the vertex to the midpoint of the opposite side.
The following expression can be written for the given problem,
DG/CG = 1/2
=> (3x - 2)/ (x + 5) = 1/2
=> 2(3x - 2) = x + 5
=> 6x - x = 5 + 4
=> x = 9/5
=> x = 1.8
Thus, DG = (3x - 2)
= 3 × 1.8 - 2
= 2.4
Hence, the length of DG is given as 2.4 unit.
To know more about triangle click on,
https://brainly.com/question/2773823
#SPJ1
Answer:
34 units
Step-by-step explanation:
The first time i took the pretest i guessed 17 units and it was incorrect, so when i had to go through with the lesson and take the quiz i guessed 34 units and it was correct.
What property does
(3 + 19) – 12 = 3 + ( 19 – 12)
represent?
Answer:
associative property
Step-by-step explanation:
What is the vertex of the function defined as
g(x) = f(x – 5) + 3?
Answer:
f=gx−3/x−5
Step-by-step explanation:
Step 1: Flip the equation.
fx−5f+3=gx
Step 2: Add -3 to both sides.
fx−5f+3+−3=gx+−3
fx−5f=gx−3
Step 3: Factor out variable f.
f(x−5)=gx−3
Step 4: Divide both sides by x-5.
f(x−5)/x−5=gx−3/x−5
What’s the answer to this question ? 4.4y - 5x = -8
what do you want us to solve for? Step-by-step explanation:
HEELLPPP!!!!! fastttt plzzzzz!
The sales for products sold at an electronic store are below. What percent of the products sold were speakers?
Answer:
6.00%
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
which of the following is a solution to the linear function y = 4/5x+7
The graph of g(x) goes through the point (-4, 1) and is parallel to h(x) = 5x - 2 points
8. Determine the symbolic representation of g(x). Express your answer in
slope intercept form. *
Answer:
[tex]g(x)=5x+21[/tex]
Step-by-step explanation:
The slope of g(x) is 5 because the slope of h(x) is 5 and g is parallel to h.
In point-slope form:
[tex]g(x)-1=5(x+4)[/tex]
Rearranging for slope intercept form:
[tex]g(x)-1=5x+20\\g(x)=5x+21[/tex]
A cone has a diameter labeled twelve centimeters and a height labeled thirty-two centimeters. Find the area of a vertical cross section through the center of the base of the cone.
Answer:
[tex]A=0.0192[/tex]
Step-by-step explanation:
Diameter labeled twelve centimetres D =12cm => 0.12
height labeled thirty-two centimetres H= 32cm => 0.32
Generally the vertical cross section of this cone is a triangle
Mathematically solving
Area of vertical cross section through the center of the base of the cone is given by [tex]A=1/2 D*height[/tex]
[tex]A=R*H[/tex]
Therefore
[tex]A=\frac{0.12}{2} *0.32[/tex]
[tex]A=0.06 *0.32[/tex]
[tex]A=0.0192[/tex]
−9,000÷3=−3,000 What does -3,000 tell me
Answer:
Step-by-step explanation:
SEARCH IT UP!!!!!!!
Hey guys ( or gals ) I have no idea what to do please help me.
Answer:
Irrational numbers cannot be written as a fraction, or the ratio of two whole numbers.
You would have to find a GCF (greatest common factor) and multiply it out of the radical.
ex.
[tex]\sqrt{6}[/tex] = 2 x 2 x 2
when you have to multiplier numbers then you can combine two of them to take outside the radical, meaning 2x2x2
2[tex]\sqrt{2\\}[/tex]
so [tex]\sqrt{6}[/tex] would be closest to the positive 2 on the number line and 2 notches.
[tex]\sqrt{11}[/tex]
is an irrational number, so it might fall into 3.3 if turned into a decimal.
Step-by-step explanation:
What is a real solution and examples of real solutions
Answer:
A real solution in algebra is simply a solution to an equation that is a real number.
for example
If y>0, then x2 = y has two real solution or roots. x = ±√y
If y=0, then x2 = y has one real solution.
Simon is creating the clay structure shown below. Simon has boxes of clay that each contain 200 of clay. How many boxes of clay does Simon need to open to make the sculpture? A. 3 B. 4 C. 5 D. 6
Answer:
D.6
Step-by-step explanation:
what's $90.94 with 50% off..?
Answer:
Write 50% as a decimal number:
STEP 2: Multiply by 90.94:
Step-by-step explanation: answer is 49.47
Answer:
45.47$
Step-by-step explanation:
50% means to cut things off by half
The numbers –12, –7, –2, 3, . . . follow a pattern. What are the next three numbers in this pattern? A. 8, 13, 18 B. 5, 10, 15 C. 2, 8, 13 D. 8, 14, 17
Answer:
A.
Step-by-step explanation:
5 is added each time
3 + 5 = 8
8 + 5 = 13
13 + 5 = 18
Answer:
8,13,18
Step-by-step explanation:
10 – 7w – 13 – 7w + 15
I need help plsss!
Answer:
12-14w
Step-by-step explanation:
A regular octagonal pyramid. Each side of the base is 6 cm long. it has a height of 10cm. Find the surface area of the pyramid
9514 1404 393
Answer:
470.16 cm²
Step-by-step explanation:
The apothem of the base is used for two purposes: to find the area of the base, and to find the slant height of each face.
The apothem of the base for side length s is ...
s/2 = a·tan(π/8)
a = s/(2·tan(π/8)) ≈ 7.24 cm
The slant height of a triangular face is found using the Pythagorean theorem. The apothem of the base and the height are legs of the right triangle whose hypotenuse is the slant height. For slant height x, we have ...
x² = 10² + a² = 100 +52.46
x ≈ √152.46 ≈ 12.35
__
The area of the 8 triangular faces will be ...
A = 1/2Px . . . . where P is the perimeter of the pyramid
The area of the base will be ...
A = 1/2Pa
So, the total surface area is ...
A = 1/2P(a + x) = (1/2)(8)(6 cm)(7.24 +12.35 cm) ≈ 470.16 cm²
The answer is 470.16 cm²
Can someone plz help me like please
Answer:
1000 pennies 100 is 1 10th 400 makes 500 which is half of 1000
can someone pls answer this question for my sis she's in the 4th grade and i don't remember how to solve this
17/15 - 4/5
TYSM( btw worth twelve points )
Answer:
i think its 13/45
Step-by-step explanation:
simplify if possible 3t+2g-t-3g
Answer:
2t-g
Step-by-step explanation:
Collect like terms
3t-t= 2t
2g-3g= -g
2t-g
hi waht is m⁵×m⁴ in algebra maths
Answer:
m⁹
Step-by-step explanation:
In such questions , when any two or more numbers with exponents are multiplied and their bases are equal , the exponents of all the numbers add up . So ,
[tex]m^{5} \times m^{4} = m^{5+4} = m^{9}[/tex]
At a school, 460 of the students walk to school.
the number of students who ride the school bus is 110% of the number of students who walk. How many students ride the school bus?
Answer:
506
Step-by-step explanation:
To find a percent answer is easy, just do this:
Enter your base number here: 460
Enter your percent here: 110%
460 x (convert 110% to a decimal) 1.1 = 506
Your welcome =)
Answer:
The answer is 506
Step-by-step explanation:
PLEASE HELP WILL GIVE 30 POINTS
The data set shows the ages of guests on a recent tour of a museum: 34, 18, 29, 60, 44, 51, 65, 68.
A. What is the five-number summary of the data? Show your work.
B. How could the museum curator use this information to improve sales at the gift shop?
I already did part A I just need help on part B
The five-number summary is
Min: 18 Max: 68 Median: 47.5
Q1: 31.5 Q3:62.5
he can use the information to put stuff on sale so more people will come and he can make more money
Step-by-step explanation:
Where would be located on the number line below?
between P and Q
between Q and R
between M and N
between N and P
What is the domain of the function? {(-3,-9), (7,9), (9, 1), (7,3)} Colleen wrote her answer as (-3,7,7,9) and she got it marked WRONG! What did she do wrong?
Answer: added
Step-by-step explanation:
A football player has made 80% of the field goals he has attempted in his career. If he
attempts 45 field goals in a season, how many would he be expected to make?
PLEASE ANWSER SERIOUSLY
Answer:
im pretty sure its 56.25 cus 45= 80% of 56.25
Step-by-step explanation:
9 ⅚ + 1 ¼ + ___________ = 14
Answer:
14
reeaADADSDDSSA
Step-by-step explanation:
[answer 1 11/12 or 2.917]
1. 9 5/6 + 1 1/4 = 11 1/12
2. 14 - 11 1/12 = 35/12 then you smiplfy to get 1 11/12 or 2.917