Answer:
c. 10.8 cm
Step-by-step explanation:
s=√10²+4²=√116=10.8
Match each equation with the correct number of solutions
A direct proportion relationship is one in which quantities are always related to each other by the same ratio. true or false?
Answer:
True
Step-by-step explanation:
Example: (7,14) = (1,7)
8 of 8
Work out the mean for the data set
below:
2.3, 0.3, 7,6.1, 9.7
Give your answer as a decimal.
Answer:
Mean = 5.08
Step-by-step explanation:
The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
[tex] \frac{2.3 + 0.3 + 7 + 6.1 + 9.7}{5} [/tex]
[tex] = \frac{25.4}{5} [/tex]
= 5.08
Write an equation in slope intercept form of the line that passes through the points (1,−6) and (5,−6).
slope intercept form = y=mx+b
m= slope
b= y-intercept
the slope is rise over run, so if the points are (1, -6) and (5, -6), the slope is 0
the y intercept is -6
y = 0x-6
or
y = -6
Which of the following statements follows from (x - 3)2 = 5?
Ox2 + 9 = 5
Ox-3 = 15
OX-3 = +25
Answer:
Option B is correct
Find the volume of the L shaped composite prism, show clearly how you got your answers
9514 1404 393
Answer:
510 cm³
Step-by-step explanation:
The overall height of the front face is 9+2 = 11 cm.
The overall width of the front face is 6+4 = 10 cm.
Out of that 11 cm by 10 cm rectangle, a cutout is made in the upper right corner. The area of that cutout (in the plane of the front face) is 2 cm high by 4 cm wide.
Then the area of the front face is ...
(11 cm)(10 cm) -(2 cm)(4 cm) = 110 cm² -8 cm² = 102 cm²
The volume of the prism can be found using the formula ...
V = Bh
where B is the area of the "base" of the prism, and h is its height. Here, the "base" is the front face, and the height is the dimension marked 5 cm. The volume is ...
V = (102 cm²)(5 cm) = 510 cm³
The volume of the prism is 510 cm³.
Select the two values of x that are roots of this equation
Answer:
c
Step-by-step explanation:
There are two answers to the question...
Answer:
B and C
What is the approximate volume of the cylinder? Use 3.14 for π.
top of the cylinder is 9 bottom is 4
A. 324 cm3
B. 452.16 cm3
C. 734.76 cm3
D. 1,017.36 cm3
c. 734.76 cm3 espero que te sirva :)
The ages, in years, of employees at a fabric store are represented by the box-and-whisker plot shown.
Answer:
There isn't a plot.
Step-by-step explanation:
Tell whether the sequence is arithmetic. If it is, what is the common difference? -21, -15, -9, -3,
Answer:
it is arithmetic and the difference is 6
Does anyone know how to solve this?
Given :
A right angle triangle ABC .
To Find :
The perimeter of ABC .
Solution :
Since, triangle ABC is right angled and angle ∠ABC is 46° .
So, AC = AB cos 46° = 7.64 units.
Also, CB = AB sin 46° = 7.91 units.
Therefore, the perimeter of ΔABC is :
P = 11 + 7.64 + 7.91 units
P = 26.55 units
Hence, this is the required solution.
Factor completely 18x2 − 21x −15. 3(2x + 1)(3x − 5) 3(2x − 5)(3x + 1) 3(2x − 1)(3x + 5) 3(6x + 1)(x − 5)
Answer:
3(2x + 1)(3x - 5)
Step-by-step explanation:
Given
18x² - 21x - 15 ← factor out 3 from each term
= 3(6x² - 7x - 5 ) ← factor the quadratic
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 6 × - 5 = - 30 and sum = - 7
The factors are + 3 and - 10
Use these factors to split the x- term
6x² + 3x - 10x - 5 ( factor the first/second and third/fourth terms )
3x(2x + 1) - 5(2x + 1) ← factor out (2x + 1) from each term
(2x + 1)(3x - 5)
Then
18x² - 21x - 15 = 3(2x + 1)(3x - 5)
Answer:
A
Step-by-step explanation:
Consider this equation
3x+ 1=2x-5
Answer: x=-6
Step-by-step explanation:
Add 5 to both sides to get 2x by itself
Yes, subtract 1 from both sides to get 3x by itself so you can subtract 2x as to not get a negative x value
One common mistake would be to accidentaly adding or subtracting 1 or 5 when they are supposed to be added/subtracted. To avoid this just go back and check your awnser by plugging it in.
Calculate the size of angle V on the square named FTLP.
18 cm
F
T
c
6
P
Given :
A square of side 18 cm.
To Find :
Angle V on the square.
Solution :
This problem can be done easily without using pen and paper but we need to know the property of diagonal of square given below :
The diagonals of the square bisect each other at 90°.
This will hold true for any right angle triangle.
Therefore, the angle V on the square is 90°.
A culture of bacteria living in a can doubles every minute. After 19 minutes the can is half- full. After how many minutes will the can be completely full?
Answer: after 19 more minutes.
Step-by-step explanation:
The question is asking how may more minutes until full, wich means the it needs 19 to be half full, it will need 19 more minutes to make it fully full.
But if it wants to know the total amount of minutes needed for the whole can to be full from zero min, than its 38 min.
Translate the sentence into an equation. Twice the difference of a number and 6 is 2.
Step-by-step explanation:
2(x-2)=6, x-2=3, x=5.......................
Roofing You are replacing the roof on the house shown, and you want to know the total area of the roof. The roof has a 1-1 pitch on both sides, which means that it slopes upward at a rate of 1 vertical unit for each 1 horizontal unit.
Answer:
See Explanation
Step-by-step explanation:
According to the Question,
Given That, Roofing You are replacing the roof on the house (Please Find Diagram in attachment), and you want to know the total area of the roof. The roof has a 1-1 pitch on both sides, which means that it slopes upward at a rate of 1 vertical unit for each 1 horizontal unit.1). find the value of x and y. (Please Find Diagram in the attachment)
⇒ Now, Because of the “1-1 pitch”, the triangle you see with x and y is an isosceles right triangle in Diagram, with hypotenuse 24.
⇒ That means x and y are equal (x=y) and using the 45° , 45° , 90° triangle ratio,
And, By Pythagoras Theorem We get
x² + x² = 24²
2x² = 576
x² = 288 ⇔ √288 ⇒ x=12√2 & y=12√2
2). Find the Total area of the roofing (Please Find Diagram in the attachment)
⇒ Now, The total area of the roof is the sum of the two isosceles right triangles on each side of the roof, plus the two rectangles.
⇒ Total Area = 2×{1/2× 12√2 × 12√2 × Sin90°} + 2×{35×12√2}
⇒ Total Area = 288 + 1187.93
⇒ Total Area = 1475.93 Unit²
Solve for X:
-7x + 15 > -20
Answer:
14
Step-by-step explanation:
because when you solve the equation you subract 15 from both sides and then divide -7 from the answer
Answer:
x < 5
Step-by-step explanation:
-7x + 15 > -20Step 1 :- Move constant to the right-hand side and change their sign.
-7x > -20 -15Step 2 :- Calculate the difference.
-7x > -35Step 3 :- Divide both side of the inequality by -7 and flip the inequality sign.
-7x / x < -35 / 7x < 5help me solve this question !
Answer:
The answer is
(x-5)(x+5)
Write an equation of the line that passes
through (0, – 5) and is perpendicular to
the line y= - 4/5x
Answer:
[tex]y = \frac{5}{4} x - 5[/tex]
A 9-pack of sponges costs $4.68. What is the unit price?
Answer:
You can do 4.68/9.
One pack of sponges costs $0.52 cents
Answer: $0.52
Step-by-step explanation: You divide 4.68 by 9 for the unit price
What is the slope of the line on the graph?
help quickly, please!
Answer:
x^2+22x+121
Step-by-step explanation:
(x)^2+2*x*11+11^2
=x^22x+121
Solve the equation for X. Show all work.
6(-3x - 4) = - 18x + 24
Please help I need good grade #45
Answer:
Its A
Step-by-step explanation:
WILL GIVE BRAINLIEST‼️
PLEASE SHOW WORK:)
Answer:
(6x + 5)(x + 2)
Step-by-step explanation:
x coefficients must multiply to 6
so 6 * 1 or 2*3
10 must be 5*2 or 1* 10
(6x + 5)(x + 2) = (6x² + 12x + 5x + 10) = 6x² + 17x + 10
PLEASE HELP ME WHAT IS THE ANWSER
Answer:
c is the same angle as a
b and d are the same as the other
and together the are what's left from 360° after a and c got their share
so
360 -98 -98 = b + d
makes
164 = b + d
since they are of equal value, just decide 164 by 2 and you got b and d at once
pls brainliest
Answer:
Vertical Angles: a and c , d and b
m<b= 82⁰ , m<c=98⁰ , m<d=82⁰
Adjacent Angles: a and b , b and c , c and d ,d and a
correct me if im wrong
what are the answer to this question
Answer: t=-3h+25
Step-by-step explanation:
t=-3h+25
25 degrees is a constant-- it never changes, no matter how many hours goes by. So, you don't multiply a variable with it.
The temperature drops every 3 hours-- this is not constant, since it's dependent on the number of hours that passes. So, use a variable here. Since the temperature drops every three hours, it's -3, and not 3.
Answer:
[tex]t=-3h+25[/tex]
Step-by-step explanation:
If we know that when [tex]h=0[/tex], [tex]t=25[/tex], then we can use a direct proportion equation ([tex]x=ky[/tex]). The temperature decreases every hour by 3 degrees. However, we know that before any temperature drop, the temperature was 25 degrees. All together, this gives us [tex]t=-3h+25[/tex], where [tex]-3h[/tex] is the temperature drop each hour, and [tex]25[/tex] is the starting temperature. Hope that explained things :)
Can someone help me with this math problem ?? Pls it’s for my final !
-
A 525ft cable runs from the top of an antena to the ground. The angle of elevation made by the ground to the top of an antena 25°
How tall is the antena ??
Answer:
221.87 feet
Step-by-step explanation:
Given that,
A 525 ft cable runs from the top of an antenna to the ground.
The angle of elevation made by the ground to the top of an antena 25°
We need to find the height of the antenna.
Using trigonometry,
Hypotenuse, H = 525 ft
θ = 25°
So,
[tex]\sin\theta=\dfrac{P}{H}\\\\P=H\sin\theta\\\\P=525\times \sin(25)\\\\P=221.87\ ft[/tex]
So, the height of the antenna is equal to 221.87 feet.
Find the blanks
A circle is centered at the point (-7, -1) and passes through the point (8, 7).
The radius of the circle is blank
units. The point (-15, blank) lies on this circle.
Answer:
c
Step-by-step explanation: