Answer:
20 foot.....................
a right triangle has a leg of length 13 and a hypotnuse of length 41 yards. find the length of the other leg (nearest tenth)
In ∆ABC ,D and E are points on the sides AB and AC respectively such that DE is parallel to BC , 1) If AD= 2.5 cm ,BD = 3cm ,AE = 3.75 cm find length of AC. 2) If AD = 4 cm , AE =8cm ,DB =x – 4 cm ,EC =3x -19 cm , find x 3) I f AD =2cm ,BD = 4cm , show that BC = 3 DE
Answer:
1). AC=8.25cm
2). DB=7cm & EC=14cm
3). See Explanation
Step-by-step explanation:
According To the Question,
Given That, In ∆ABC, D and E are points on the sides AB and AC respectively such that DE is parallel to BC.
1). If AD= 2.5 cm ,BD = 3cm ,AE = 3.75 cm find length of AC.
Well we can apply Basic proportionality Theorem.
Since DE ║ BC ⇒ Sides are proportional and the angles are equal.
⇒ AD / BD = AE / EC
⇒ 2.5 / 3 = 3.75 / EC
On Solving we get,
⇒ EC * 2.5 = 3.75 * 3
⇒ EC * 2.5 = 11.25
⇒ EC = 11.25 / 2.5
⇒ EC = 4.5 cm
Thus,
AC = AE + EC
⇒ AC = 3.75 + 4.50
⇒ AC = 8.25 cm
Hence the measure of AC is 8.5 cm.
2). If AD = 4 cm , AE =8cm ,DB =x – 4 cm ,EC =3x -19 cm
Well we can apply Basic proportionality Theorem.
Since DE ║ BC ⇒ Sides are proportional and the angles are equal.
⇒ AD / BD = AE / EC
⇒ 4 / (x-4) = 8 / (3x-19)
on solving we get,
⇒ 3x-19 = 2(x-4)
⇒ 3x-19 = 2x-8
⇒x=11
Thus, DB =x–4 ⇒ 11-4 ⇒ DB=7cm
And, EC =3x-19 ⇒ 3×11-19 ⇒ EC=14cm
3). If AD=2cm , BD= 4cm , show that BC = 3 DE
Thus, AB = AD + DB = 2+4 = 6cm
Well we can apply Basic proportionality Theorem.
Since DE ║ BC ⇒ Sides are proportional and the angles are equal.
⇒ AD/AB = DE / BC
⇒ 2 / 6 = DE / BC
on solving we get
⇒ BC = 3 DE Hence, Proved
Find p(5) for p(x) = 80x2 - 15 by using the remainder theorem.
O 1985
O 2015
O-1985
O 2030
Danny’s dog weighs 45.33 pounds. His cat only weighs 14.89 pounds. About how much more does his dog weigh?
rounding
Answer:
30.44 pounds.
Step-by-step explanation:
to find the answer you have to subtract 45.33 and 14.89
so 45.33-14.89= 30.44
so now you would have to round. the number after the decimal is NOT greater then 5 so Therefore, we simply remove the 4 an d the the whole number as: 30
SO your answer ROUNDING wise is 30
Hope this helps
7). Express 98 in base 2
ANSWER
1100010
EXPLANATION
converting 9810 to 2
The equation calculation formula for 98 base10 number to base 2 is like this below.
2|98|
2|49|0
2|24|1
2|12|0
2|6|0
2|3|0
2|1|1
2|1|1
Ans:1100010 base2
What is the measure of UV?
A. 38°
B. 42°
C. 46°
D. 84°
Answer:
D. 84°
Step-by-step explanation:
I'm correct if I'm rwong
The measure of UV will be similar to the measure of XY. Then the measure of UV is 46°, then the correct option is C.
What is an angle?Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
Linear angle - If the total of two angles is 180 degrees, they are said to be linear angles.
The measure of UV will be similar to the measure of XY.
UV = XY
UV = 46°
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ2
A florist has to pay $7.50 each time a customer chooses a competitor for the delivery of flowers. Which expression
shows the amount that the florist earns if p people use a competitor for delivery, and the company makes $320.00
before any payment is made to their competitors?
0 320-7.500
0 320+ 7.500
7500-320
07500 + 320 help!
Answer:
320-7.500
Step-by-step explanation:
Find the distance between each pair of points. Round to the nearest tenth if necessary.
(4,2) and (-6, -6)
Answer:
Radical (20)
Step-by-step explanation:
Radical ( (4-6)² + (2-6)²)) =radical ( 4+16) = radical (20)
Which of the following are square roots of the number below? Check all that
apply.
196
A. -14
B. 196^1/2
C. 14
D. 98
E. 7
F. -196^1/2
Answer:
B. 196^1/2
C. 14
Step-by-step explanation:
Square root of 196=14
196^1/2=14
The two
triangles are similar.
What is the value of x?
Enter your answer in the box
Answer:
13
Step-by-step explanation:
the scale factor is 4:1 so just divide 52 by 4.
Can someone explain how to do this please?
for the columns where is less than or equal zero, use the first line of the function to calculate the value of f(x)
[tex] { ( \frac{1}{3} ) }^{ - 2} - 1 = 9 - 1 = 8 \\ { ( \frac{1}{3} ) }^{ - 1} - 1 = 3 - 1 = 2 \\ { ( \frac{1}{3} ) }^{ 0} - 1 = 1 - 1 = 0[/tex]
for every x greater than zero, use the second line to determine the value
[tex] {3}^{1} - 2 = 3 - 2 = 1 \\ {3}^{2} - 2 = 9 - 2 = 7[/tex]
hope this helps and gives some insight what to do.
if there are open questions left, feel free to ask them in the comments
have a beautiful day
-Alex
the question is in the photo
[tex]\displaystyle\bf 3x+7\geq 52 \ ; \ x>15 \\\\3x\geq 45\\\\x\geq 15 \ \ \ and \ \ \ x>15[/tex] here is a contradiction because in one inequality x can be equal to 15 ; and in the other it cannot
77/15 as a mixed number
Answer:
5 2/15
Step-by-step explanation:
Answer:
5 [tex]\frac{2}{15}[/tex]
Step-by-step explanation:
A mixed number consists of a whole number and a proper fraction (meaning the numerator is less than the denominator).
To get a mixed number, we are going to divide 77/15 using long division:
(I attached an image down below for you to understand better)
15 goes into 77 only 5 times with a remainder of 2.
So our whole number is 5
And the remainder of 2 become of the numerator of our proper fraction, with 15 being our denominator.
So your answer is 5 [tex]\frac{2}{15}[/tex]
Hope it helps (●'◡'●)
Find the midpoint of the line segment with the given endpoints.
(-4,-2) (3, 3)
Answer : - 4 + 3 = - 1
- 2 + 3 = 1
By half gives - 1/2 and 1/2
So midpoint (-1/2, 1/2)
Estimate the value of \frac{\sqrt{2\pi }}{\sqrt{5}}
Answer:
the exact answer is 1.98
if we rationalize denominator we get root 0f 10 times pi divided by 5
root of 10 is about 3.1 ([tex]\pi[/tex]) so we have [tex]\frac{\pi ^{2} }{5}[/tex] ≈ 9.6/5 = 1.92
Step-by-step explanation:
[tex]\frac{\sqrt{2\pi }}{\sqrt{5}} * \frac{\sqrt{5 }}{\sqrt{5}}[/tex] = [tex]\frac{\sqrt{10} \pi }{5}[/tex]
Which of the following represents the general form of an inequality?
Ax + By 2 C
Ax + By >
Ax + By < 0
All of the choices
Answer:
Third option:
Ax + By < 0
Step-by-step explanation:
The general form of an inequality is:
(something) (symbol) (another thing).
Where the symbols can be:
> = "larger than"
< = "smaller than"
≤ = "smaller than or equal to"
≥ = "larger than or equal to"
So, a given inequality can be:
K > M
This means that K is larger than M.
From the given options, the only one that has this general form is the third option:
Ax + By < 0
This can be read as:
"A times x, plus B times y, is smaller than zero"
Find the midpoint of the line segment with end coordinates of:
(
−
2
,
−
4
)
and
(
−
1
,
−
5
)
Give coordinates as decimals where appropriate
Answer:
Step-by-step explanation:
The Midpoint formula is
[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex] where the x's and y's come from the coordinates of the endpoints. Filling in:
[tex]M=(\frac{-2+(-1)}{2},\frac{-4+(-5)}{2})=(\frac{-3}{2},\frac{-9}{2})=(-1.5,-4.5)[/tex]
Player 1 starts with $10. Suppose that Player 1 gives $2 to Player 2. How much money will Player 2 get?
$0
$2
$6
Answer:
$2
Step-by-step explanation:
If Player 1 gives $2 to player 2, then player 2 would have $2 and player 1 would have $8
PLS HELP ASAP IS THIS TRUE OR FALSE?
*image below*
Answer:
true
Step-by-step explanation:
idek
Answer:
True
Step-by-step explanation:
If we say x-1=0
x=1
F(1)=(1)^3-7(1)^2+15(1)-9
=1-7+15-9
=-6-9+15
=0
So this proves that it's a factor by factor theorem
A factor must give 0 if it's substituted to the equation
Just question 1, please.
Step-by-step explanation:
We can start by writing an equation to describe the data set. For 2D data, one equation form we can use is y=m*x + b, where x is the input and y is the output. Since yuan are put in and dollars are put out, x represents yuan and y represents dollars in this instance.
To find the equation, we can start by plugging in two points, such as (50, 1.25) and (100, 7.5). The slope, or m, is equal to the change in y/change in x, or
(7.5-1.25)/(100-50) = 6.25/50
= 0.125. This means that for each yuan put in, 0.125 dollars come out, according to the formula.
Next, we must find b. Plugging 0.125 in for m and taking a set of points, such as (50, 1.25), we get
1.25 = 50(0.125) + b
1.25 = 6.25 + b
subtract both sides by 6.25 to isolate the b
-5 = b
Therefore, we can write our equation as
y = 0.125 * x - 5
In this equation, there is an exchange rate of 0.125, meaning that for each yuan put in, 0.125 dollars are coming out. The -5 symbolizes that for each transaction, 5 yuan are being lost, which is the fee for exchanging money.
To check if the equation works, we can try it for options such as (200, 20) and (250, 26.25). This does work, so we can move forward with our equation.
For (c), our equation is y = 0.125 * x - 5, with the y representing dollars, x representing yuan, 0.125 representing the exchange rate, and -5 representing the fee for exchaning mone
For (b), because 5 yuan are subtracted from the exchange rate for each transaction, it is fair to assume that there is a fee for exchanging money. There is a fee of 5 yuan per transaction. In dollars, using the exchange rate of 0.125 dollars per yuan, this is equal to 0.625 dollars
For (a), the exchange rate is 0.125 dollars per yuan. We know this because for each yuan put in, 0.125 dollars are coming out after taking into account the fee
Find the area of the triangle bounded by the lines y=x y=-x and y=6.
The area of the triangle bounded by the lines y=x y=-x and y=6 is 36 units.
What is area of triangle?The formula for finding area could be represented in the form of determinants as given below.
[tex]A = \frac{1}{2} \left[\begin{array}{ccc}x1&y1&1\\x2&y2&1\\x3&y3&1\end{array}\right][/tex]
First, we need to find the coordinates of the point of intersection of these lines.
y = x
y = -x
Adding the two equations,
2y = 0
y = 0
x = 0
coordinate: (0, 0)
y = x
y = 6
Subtracting the two equations,
0 = x - 6
x = 6
coordinate: (6, 6)
y = -x
y = 6
Subtracting the two equations,
- x - 6 = 0
x = -6
coordinate: (-6, 6)
Calculating area of triangle bounded by the given line:
Area of triangle =
[tex]\frac{1}{2}\left[\begin{array}{ccc}0&0&1\\6&6&1\\-6&6&1\end{array}\right][/tex] = [tex]\frac{1}{2} (36 + 36) = \frac{72}{2} = 36[/tex]
Learn more about area of triangle here
https://brainly.com/question/19305981
#SPJ2
Will give brainliest!!!
2.6(5.5p – 12.4) = 127.92
p=
Answer:
[tex]p=11.2[/tex]
Step-by-step explanation:
Given [tex]2.6(5.5p-12.4)=127.92[/tex], distribute to remove the parentheses:
[tex]2.6\cdot 5.5p-2.6\cdot 12.4=127.92[/tex]
Simplify:
[tex]14.3p-32.24=127.92[/tex]
Add 32.24 to both sides:
[tex]14.3p=160.16[/tex]
Divide both sides by 14.3:
[tex]p=\frac{160.16}{14.3}=\boxed{11.2}[/tex]
Write an equation of the line that passes through the point (4, -5) with slope 2.
a) y+5=-2(x-4)
b) y+5=2(x-4)
c) y-4=-2(x+5)
d) y-4=2(x+5)
Answer:
y + 5 = 2(x - 4)
Step-by-step explanation:
y + 5 = 2(x - 4)
The composite figure is made up of a rectangle and two pentagons. Find the area. 5 5 34 S 5 A. 129 sq. units O B. 122.4 sq. units C. 225 sq. units D. 140 sq. units
Answer:
Option D, 140 sq. units
Step-by-step explanation:
Area of the rectangle part, 11*5 = 55 sq. units
Area of the pentagon part (3.4*5)*5/2 = 42.5 sq. units
Total area,
55+2*42.5 sq. units (since there are two pentagons)
= 55+85 sq. units
= 140 sq. units
A car is sold for $7560 at a loss of 10%. What is the original cost of the car?
Answer:
car(c.p)=$8400
Step-by-step explanation:
L%=(c.p-s.p)100%
c.p
10%=(c.p-7560)100%
c.p
10c.p=100c.p-756,000
(10-100)c.p= -756,000
-90c.p= -756,000
-90 -90
c.p=8400
Find the volume of this sphere. Use 3 for pi.
Answer:
radius=16divided by 2
=8
Volume=4÷3πr^3
Volume=4÷3×3×8
Volume=96÷3
Volume=32
Write an inequality to represent the graph.
Answer:
C
Step-by-step explanation:
answer both of them please
Answer:
-5.5+2=x should be equal to 3.5 on the number line and as for the other question it is D) It is a decimal that terminates after three decimal places
Step-by-step explanation:
When graphing -5.5+2=x it equals to 3.5 on the Domain and the other question you just divide the numerator to its denominator equaling you with 0.875
Simplity the expression.
3(2y - 8) - 2y(5 - y)
Answer:
2y² - 4y - 24
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
3(2y - 8) - 2y(5 - y)
Step 2: Simplify
[Distributive Property] Distribute 3 and -2y: 6y - 24 - 10y + 2y²Combine like terms: 2y² - 4y - 24This equation has one solution.
3(x – 2) + 4x = 10(x + 1)
what is the solution?
-5
-2
-16/3
-16/7
Answer: -16/3
Step-by-step explanation:
[tex]3(x - 2) + 4x = 10(x + 1)\\3x - 2(3) + 4x = 10x +1(10)\\3x - 6 + 4x = 10x + 10\\7x - 6 = 10x + 10\\7x - 10x = 10 + 6\\-3x = 16\\x = \frac{16}{-3} =-\frac{16}{3}[/tex]
Answer:
-16/3
Step-by-step explanation:
3(x – 2) + 4x = 10(x + 1)
Step 1 distribute the 3 to the x and -2
Outcome: 3x - 6 + 4x = 10(x + 1)
Step 2 distribute the 10 to the x and 1
Outcome: 3x - 6 + 4x = 10x + 10
Step 3 combine like terms
Outcome: 7x - 6 = 10x + 10
Step 4 add 6 to both sides
Outcome: 7x = 10x + 16
Step 5 subtract 10x from both sides
Outcome: -3x = 16
Step 6 divide both sides by -3
Outcome: x = -16/3