Answers
Answer:
A = 60 cm²
Step-by-step explanation:
Finding BC using Pythagorean Theorem:
=> [tex]c^2= a^2+b^2[/tex]
=> [tex]13^2 = a^2+5^2[/tex]
=> 169-25 = [tex]a^2[/tex]
=> [tex]a^2[/tex] = 144
Taking sqrt on both sides
=> BC = 12
So,
BC = CD = 12
=> BD = BC+CD
=> BD = 12+12
=> BD = 24
Now, The area:
=> Area of a Triangle = [tex]\frac{1}{2} (Base)(Height)[/tex]
Where BASE = 24, HEIGHT = 5
=> A = 1/2(5)(24)
=> A = 1/2(120)
=> A = 60 cm²
Step-by-step explanation IN triangle abc,
AC² = AB² + BC² (Phythogoras theorem)
13² = 5² + BC²
169 - 25 = BC²
144 = BC²
BC² = 144
BC = 12 (APPLAYING SQAURE ROOT)
Then in triangle ADC,
AD² = AC² + CD²
AD² = 13² + 12² (CD = BD - BC)
AD² = 169 + 144
AD = 17cm (aprox.)
Therefore area of triangle abd = 1/2× length × side = 1/2× 5 ×24 = 5 × 12 = 60cm
Related Questions
What is the quotient of 6/7 and 3/14
One-fourth
2
3 and one-third
4
Answers
Answer:
4
Step-by-step explanation:
When we want to find a quotient, what we do is that we switch the numerator and the denominator of the second fraction and then we multiply the two resulting fractions. If we have [tex]\frac{6}{7}[/tex] and [tex]\frac{3}{14}[/tex], doing this we would have:
[tex]\frac{6}{7}(\frac{14}{3})=\frac{84}{21} = \frac{28}{7} =\frac{4}{1}=4[/tex]
Thus, the right answer is 4.
Find the slope of the line that passes through (93, -6) and (11, 24).
Answers
Answer:
-15/41
Step-by-step explanation:
Answer:
-15/41
Step-by-step explanation:
We can use the slope formula since we have 2 points
m = (y2-y1)/(x2-x1)
= (24 - -6)/(11 - 93)
= (24+6)/ (-82)
= 30/ -82
-15/41
Find the equation of the line below.
Answers
Answer:
D. y = 1/3x
Step-by-step explanation:
The line rises 1 unit up and runs 3 units to the right. The numerator (top) of the fraction, in this case the "rise" (units traveled up or down) of the equation, is 1. The denominator (bottom) of the fraction is 3, representing the "run" (units traveled right or left) of the equation.
Good luck on your test/work, I hope this helped!
explanation: if u start at 0,0 it increases 1 over y and 3 tonthe side which is 1/3x
George Washington was born on 2-22-1732. He died in 1799 at the age of 67. The month in which he died and the day of the month on which he died are consecutive even integers whose product is 168. When did Washington die? month day year
Answers
Answer:
George Washington died on December 14th, 1799
Numerical with the arrangement: month - day - year
12 - 14 - 1799
Step-by-step explanation:
In the question, we are told that: the month in which he died and the day of the month on which he died are consecutive even integers whose product is 168.
Therefore,
If one positive even integer = Month he died is represented by x
The second consecutive even integer = Day he died = x + 2
Their product =
x ( x + 2) = 168
x² + 2x = 168
x² + 2x - 168 = 0
We factorise
x² + 14x - 12x - 168 = 0
(x² + 14x) - (12x - 168) = 0
x(x + 14) - 12(x + 14) = 0
(x - 12)(x + 14) = 0
x - 12 = 0, x = 12
x + 14 = 0 , x = -14
Our answer cannot be a negative interger, hence x = 12
So the first positive even integer = 12
The second positive even integer = x+2 = 12 + 2 = 14
Therefore, the month he died = n = 12th month = December
The day he died = n + 2 = 14 = 14th day.
Hence, George Washington died on December 14th, 1799
Numerical with the arrangement: month - day - year
12 - 14 - 1799
Please help real quick good points
Answers
Answer:
b. six equilateral triangles
Step-by-step explanation:
The 6 interior angles of the hexagon are supplementary to the exterior angle and are 120 deg. ... Therefore the angles at the center is 360/6 = 60 degrees for each triangle. So all three angles of the six triangles are 60 deg each. So there are 6 equilateral triangles that form the regular hexagon.
Jenny just went shoe shopping. Now she has 5 more pairs of shoes than her brother does. Together, they have 25 pairs of shoes.
Jenny has
pairs of shoes, and her brother has
pairs of shoes.
Answers
Answer:
jenny got 15 pair of shoes
her bro got 10 pairs of shoes
Step-by-step explanation:
Jenny: 15 shoes
Brother: 10 shoes
(8×1,000)+(6×100)+(2×10)+(4×1)+(3×1/100)
Answers
Answer:
8624.03
Step-by-step explanation:
(8×1,000)+(6×100)+(2×10)+(4×1)+(3×1/100)
8000+600+20+4+.03
8624.03
Answer:
8624.03
Step-by-step explanation:
8000 + 600 + 20 + 4 + .03
You work for a florist. Normally, it takes you 20 hours to assemble 10 flower arrangements. How long does it take you to assemble one flower arrangement?
Answers
Answer:
2 hours
Step-by-step explanation:
We want to find the unit rate, or time per flower arrangement.
To find the unit rate, divide the number of hours by the number of flower arrangements.
hours/flower arrangements
It takes 20 hours to assemble 10 flower arrangements.
20 hours/ 10 flower arrangements
Divide 20 by 10 (20/10=2)
2 hours/ flower arrangement
It take 2 hours to assemble one flower arrangment.
Color to show the fractions
Did I do it right ?
Answers
Answer:
For number three you did everything correct.
But, number 4 it has to be equal to.
[tex]3/6=1/2[/tex]
They are equal to each other.
So just change it to an equal sign and your good.
Hope this helps
All is right, just one wrong.
3 sixths are not lesser than 1 half.
[tex]\displaystyle \frac{3}{6} =\frac{1}{2}[/tex]
3 sixths are equal to 1 half.
The area of a triangle is 1,440 cm2. The base of the triangle is 5 times the height. What is the height of the triangle? Answers= A. 12 cm B. 24 cm C. 46 cm D. 60 cm
Answers
Answer:
The height of the triangle is 24 cm.
7. A company manufactures shaving sets for $5 each and sells them for $7 each. How many shaving sets must be sold for the
company to recover an initial investement of $45,000 and eam an additional $15,000 as profit?
The company has to sell
$15,000 as profit.
shaving sets to recover an initial investment of $45,000 and earn an additional
Answers
Answer:30,000
Step-by-step explanation:
Find the exact values of the following, giving your answers as fractions.
a) 2^-3
b) 3^-2
c) 10^-4
Answers
Answer:
a) 1/8
b) 1/9
c) 1/10,000
Step-by-step explanation:
When a number is raised to a negative exponent, that means that the answer will be less than one. The format is:
x^-y = 1/x^y (i apologize, exponents on here are really messy)
Ok so for a, you get 1/2^3. 2^3 = 8, so your resulting fraction is 1/8
b). 1/3^2. 3^2 = 9, so your resulting fraction is 1/9
c). 1/10^4. 10^4 = 10,000, so your resulting fraction is 1/10,000.
Sorry fractions and exponents don't work well on my computer. Hope this helps!
It costs $38 for 2 people to go to the movie theater, 40% of the money was for snacks What was the cost of each movie ticket?
Answers
Answer:
$11.40
Step-by-step explanation:
$38 for 2 people to go to the movie theater.
38/2=19
$19 for each person to go to the movie theater.
40% of the money is for snacks, the movie ticket must be 60% of the money.
19×60%
19×60/100=11.4
The cost of each movie ticket is $11.40
Answer:
$11.4
Step-by-step explanation:
Total Cost = $38
Snacks:
=> [tex]\frac{40}{100}* 38[/tex]
=> $15.2
Left for 2 tickets:
=> $38-$15.2
=> $22.8
For 1 ticket:
=> $22.8/2
=> $11.4
A telephone company charges a fixed monthly rate plus a rate per megabyte of data used. The company charges $155 for 100 megabytes and $245 for 200 megabytes. An equation can be written to show the relationship between the total megabytes of data used (x) and the total monthly charges (y). Which of the following best describes the steps to draw the graph? Draw a graph that joins the points (155, 100) and (245, 200) and has a slope = 0.9 Draw a graph that joins the points (155, 100) and (245, 200) and has a slope = 1.1 Draw a graph that joins the points (100, 155) and (200, 245) and has a slope = 1.1 Draw a graph which joins the points (100, 155) and (200, 245) and has a slope = 0.9
Answers
Answer:
Draw a graph that joins the points (100, 155) and (200, 245) and has a slope = 0.9
Step-by-step explanation:
x variable represents total megabytes of data used
y variable represents total monthly charges
The company charges $155 (y) for 100 megabytes (x) means that the point (100, 155) belongs to the equation.
The company charges $245 (y) for 200 megabytes (x) means that the point (200, 245) belongs to the equation.
With these two points, the slope is computed as follows:
(245 - 155)/(200 - 100) = 0.9
Answer:
the correct answer is
Step-by-step explanation:
Second option: Draw a graph that joins the points 100 and 135 500 and 375 and has a slope of 0.6
or if you have the other problem its
Draw a graph which joins the points (100, 120) and (50, 95) and has a slope = 0.50
A bricklayer charges $8 per square foot to lay a patio.How much would it cost for the bricklayer to lay a 12-foot-x 16-foot patio?
Answers
Area of patio = 12 x 16
= 192 square feet
Cost = 192 x 8
= $1536
Which transformations could have occurred to map ABC
to ABC
a rotation and a reflection
a translation and a dilation
a reflection and a dilation
a ditation and a rotation
Answers
Answer:
a dilation and a rotation
Step-by-step explanation:
is what I put
Choose the algebraic description that maps ΔABC onto ΔA′B′C′ in the given figure. answwers: A) (x, y) → (x + 4, y + 5) B) (x, y) → (x – 4, y – 5) C) (x, y) → (x – 4, y + 5) D) (x, y) → (x + 5, y – 4)
Answers
Answer:
C. (x, y) -> (x - 4, y + 5)
Step-by-step explanation:
A is at (2, -2)
A' is at (-2, 3)
To get from 2 to -2, you must subtract 4, so (x - 4)
To get from -2 to 3, you must add 5, so (y + 5)
(x - 4, y + 5)
I hope this helps :))
The algebraic description that maps ΔABC onto ΔA′B′C′ in the given figure should be option C. (x, y) -> (x - 4, y + 5)
Algebraic description:Since
A is at (2, -2)
A' is at (-2, 3)
So,
To get from 2 to -2, you should deduct 4, so (x - 4)
And,
To get from -2 to 3, you should deduct 5, so (y + 5)
Therefore,
(x - 4, y + 5)
Learn more about algebraic here: https://brainly.com/question/24754151
Evaluate the following:
Answers
Answer:
[tex]3\frac{17}{24}[/tex]
Step-by-step explanation:
[tex]14\frac{1}{6}-10\frac{11}{24}=\\\\\frac{85}{6}-\frac{251}{24}=\\\\\frac{340}{24}-\frac{251}{24}=\\\\\frac{89}{24}=\\\\3\frac{17}{24}[/tex]
14x6= 84/6
84/6 +1/6 = 85/6
10 x 24= 240/24
240/24 +11/24 = 251/24
85x 4 = 340
340-251= 89/24
3 17/24
In professional baseball, each team plays 160 games. After playing half their games, team A has won 60 and team B has won 49. If team A wins half of its remaining games, how many of its remaining games must team B win to have the same number of wins as team A?
Answers
Please I need help with this ASAP..Thanks
Answers
Answer:
c
Step-by-step explanation:
bruh
Five-Pointed Star Logo
1. Use the interactive Spider Tool located on page 1 of this activity to recreate the
five-pointed star logo. Start by asking the spider to move 50 units, rotate 144
degrees, and repeat the sequence until she returns to her starting point. Remember
that you can use "Zoom out" or "Fit to window" if the spider leaves the viewing area.
(To draw the logo with the feet of the star on the bottom, have her rotate 72 degrees,
move 50 units, rotate 144 degrees, and then repeat the sequence until she returns to
her starting point.) In the space below, sketch the five-pointed star logo you created
with the Spider Tool. (4 points)
Answers
Answer:
see attached
Step-by-step explanation:
The image on the left in the attachment is created with an initial direction angle of 0°. The image on the right, with both feet at the bottom, is created with an initial direction of 36° (not 72°). An initial rotation of 72° results in an image like the left one, except with the origin at the bottom point.
In each case, the origin is marked with a dot.
The final result is a five-pointed start or a five-pointed start upwards if you rotate 72 degrees rather than 144 degrees the first time.
What is a star?A star is a type of polygon, which means it is a shape with multiple sides. Indeed, five-pointed stars are classified as decagons or polygons with 10 sides but the number of sides varies if the star is six-pointed, ten-pointed star, etc.
How is a five-pointed star created?All stars use lines with specific angles to be created. In the case of five-pointed stars, whcih are the most common the general pattern is:
Use lines of the same lenght and rotate 144° each time.This means that if you follow the instruction you will obtain a five-pointed star.
Learn more about stars in: https://brainly.com/question/24493066
There are 96 people consisting of 48 married couples in a room. Assuming that no husband or wife shakes thr others hand but everyone else shakes hands exactly once, how many handshakes are there?
Answers
Answer:
9120
Step-by-step explanation:
Given ;
Total people =96
It means 48 are male and 48 are females
Handshake can be determined by = Handshake of male+ handshake of female
=48*95+48*95
=4560+4560
=9120
Classify the following real numbers as rational or irrational:
Answers
Answer:
a. rational - It can be written as a fraction so it's rational.
b. rational - Simplified it equals to 9, a whole, therefore rational, number.
c. irrational - Even once simplified, it contains a square root, therefore it's irrational.
d. rational - It can be written as a fraction so it's rational.
e. irrational - It cannot be simplified from a square root, therefore it's irrational.
What is the solution to the equation 2n3=n+145? Enter your answer in the box. n =
Answers
I just took the test and the answer is n= 6
Answer:
n=6
Step-by-step explanation:
Find the values of the missing angles
Answers
Answer:
65
Step-by-step explanation:
Angle A is 55 degrees.
A triangle adds up to 180 in degrees so 60 + 55 = 115
180 - 115 = 65 therefore angle C is 65 degrees.
Angle B is equal to angle C so it's also 65 degrees.
Basically:
A - 55
B - 65
C - 65
Graph the rational function f(x)=2x-3 over x+4
Answers
Answer
Here is the graph of f(x).
graph{-(x)/((2x-3)(x+4)) [-10, 10, -5, 5]}
simplify 10 in radical sign times 8 in radical sign
Answers
please fine area of abc im dumb and just need a quick answer please help no explanation needed
Answers
Answer:
6
Step-by-step explanation:
Because triangles ADC and ACB are similar:
[tex]\dfrac{3}{1.8}=\dfrac{AB}{3} \\\\\\AB=5 \\\\\\CB=\sqrt{5^2-3^2}=4[/tex]
The area of ABC is therefore bh/2=3*4/2=6.
Hope this helps!
70°
xo
Determine the value of x in the figure.
OA) X= 70
B) x = 35
OC) x = 140
OD) x = 40
Answers
40% as ounces
Pls help
Answers
Answer:
that equals 5 cups
Step-by-step explanation:
40% in ounces is 5 cups
Step-by-step explanation:
If you divide the total amount of cups it takes to take the next measurement it comes to 5 cups.