What is the length of the diagonal of the square shown below?
7
45°
7
190
7
A. 49
B. 14
C. 71
D. 7
E. 7
F. 7.
Using the Pythagorean Theorem, it is found that the length of the diagonal of the square shown below is given by:
F. [tex]h = 7\sqrt{2}[/tex]
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
In this problem, the diagonal is the hypotenuse, while the legs are the sides of [tex]l_1 = l_2 = 7[/tex], hence:
[tex]h^2 = l_1^2 + l_2^2[/tex]
[tex]h^2 = 7^2 + 7^2[/tex]
[tex]h^2 = 2 \times 49[/tex]
[tex]h = \sqrt{2 \times 49}[/tex]
[tex]h = 7\sqrt{2}[/tex]
Hence option F is correct.
More can be learned about the Pythagorean Theorem at https://brainly.com/question/654982
hellppp meeeeee......
Angle 4 and 7= Interior angles
Angle 12 and 16= Corresponding angles
Angle 1 and 14= Alternate exterior angles
Angle 5 and 10=Alternate angles
angle 6 and 7 are alternate angles I think.
what is the reciprocal of 1/2
8х + 7y= -5
X= -3y - 7
Answer:
x = 2
y = -3
Step-by-step explanation:
Step 1: Write systems of equation
8x + 7y = -5
x = -3y - 7
Step 2: Solve for y
Substitute 2nd equation into 1st: 8(-3y - 7) + 7y = -5Distribute 8: -24y - 56 + 7y = -5Combine like terms: -17y - 56 = -5Add 56 to both sides: -17y = 51Divide both sides by -17: y = -3Step 3: Solve for x
Substitute y to find x: x = -3(-3) - 7Multiply: x = 9 - 7Subtract: x = 2Step 4: Check
Plug in x, y into an original equation to verify it's a solution.
2 = -3(-3) - 7
2 = 9 - 7
2 = 2
Answer:
x=2 y=-3
Step-by-step explanation:
If ab=2x+3, bc =3x-5, and ac=33
Find the equation of the linear function represented by the table below in slope-
intercept form.
x
o
1
2
3
4
y
8
16
24
32 40
Answer: y =
Submit Answer
Answer:
y = 8x + 8
Step-by-step explanation:
The y-intercept is already given so we have our b = 8 so y = mx + b becomes y = mx + 8. Now we need to figure out the slope so looking at the chart I need to figure out what number when multiplied by the x value and added to b equals the y value. The answer is 8 because when we multiply it by 1 and add it to 8 we are left with 16, which supports the chart. The equation in slope intercept form is now y = 8x + 8
The profit P, in thousand of dollars, that a manufacturer makes is a function of the number N of items produced in a year, and the formula is as follows. P = −0.2N2 + 3.6N − 9
0.2×2+3.6-9 = -5
-5 = profit p
Please help. The picture is below.
The answer to that is C.
Is the following statement a biconditional?
If Maura is going to the library, then she is bringing her favorite binder.
yes
no
This is a regular conditional expression because it is in the form "If P, then Q"
P = Maura is going to the library
Q = she is bringing her favorite binder
A biconditional is of the form "P if and only if Q"
The "if and only if" is the key phrase needed. It allows us to swap the positions of P and Q to say "Q if and only if P".
I need help on this ASAP, please and thank you!! I need answers :(
Answer:
9. 4(3x+5)
10. 8a+7c+3
Step-by-step explanation: A square has 4 sides and since each side is that equation times that equation by 4, and for the second one combine like terms.
what is 5n - 2n in the simplest form
Answer:
3n
Step-by-step explanation:
Answer:
3n
Step-by-step explanation:
at ralphs fruit stand 1/2 pound of grapes is 90 cents you ant to buy 5 pounds of grapes, how much will they cost? PART A: what are 2 possible rates for this problem? PART B: write each rate as a a unit rate. PART C: what does each unit rate tell you? PART D: which unit rate will help you solve the problem?
HY OLA SUN TEFONO ME QVLOE AHRAC JU PSTICIORQ ME QUITASTUE MIS UNTPOS PER LAO RESPUSTA ES QU HEEEAYFRUS RALPH LIBRTA UVS AA A 8NTAVOS0 CE
Luke saves $5 for every $2 he spends.
Complete the ratio table to show the relationship between the amount saved compared to the amount spent.
Answer:
5:2
10:4
15:6
20:8
Is this what format you wanted the answer?
Step-by-step explanation:
The ratio will be: 5 : 2
The formula for the density of an object is d = my, where m is the mass and V is the
volume. Solve the formula for V in terms of d and m.
Answer:
V = D/M
Step-by-step explanation:
divide both sides by M to isolate V
When you are driving a car, the number of miles that you can drive is directly proportional to the amount of gas you have left in the tank. For instance, if you only have 2 gallons of gas left, you can only travel 26 more miles. If I need to travel 91 miles, how many gallons of gas would I need?
Answer:
When you are driving a car, the number of miles that you can drive is directly proportional to the amount of gas you have. left in the tank. For instance, if you only have 2 gallons of gas. left, you can only travel 26 more miles
Step-by-step explanation:
When you are driving a car, the number of miles that you can drive is directly proportional to the amount of gas you have. left in the tank. For instance, if you only have 2 gallons of gas. left, you can only travel 26 more miles
A 21 foot tower must be secured with a wire anchored 7 feet from the base of the tower. What angle will the wire make with the ground? Round your answer to the nearest tenth.
Answer:
71.6
Step-by-step explanation:
opposite=height= 21 ft
Adjacent= length of shadow = 7ft
Angle of inclination= C
tan C = 21/7
C= tan‐¹(3)= 71.6
A sealed rectangular container 4 cm by 8 cm by 16 cm is sitting on its smallest face. In this position the water level is 4 cm from the top. How many centimeters from the bottom will the water level reach if the container is turned and placed on its largest face?
Answer:
height of water in the container is 3 cm.
Step-by-step explanation:
Given;
A sealed rectangular container, measuring 4 cm by 8 cm by 16 cm
the height of the container is 16 cm, when filled with water at 4 cm level from the top, thus, the height of water in the container is (16 cm - 4cm) = 12cm
Volume of water in the container when it is sitting on its smallest face = 4 cm x 8 cm x 12 cm = 384 cm³
Volume of water in the container when it is sitting on its largest face = 8 cm x 16 cm x h
where;
h is height of water in the container
384 = 8 x 16 x h
384 = 128h
h = 384 / 128
h = 3 cm
Therefore, height of water in the container is 3 cm.
( Don't Report Pleaseee) Yoooo do you guise agree me on that japan should make a skateboarding anime show like bro like i feel like that would be good. lol maybe it is just me
Answer:
yea for real they should ngl I love anime.
Answer:
Maybe they should but they would have to have some good characters
Find the amplitude, the period in radians, the phase shift in radians and the vertical shift shows solving steps.
[tex]y = Acos(Bx - C) + D[/tex]
The A is amplitude, B is to find the period, C is the phase shift and D is the vertical shift
Amplitude = [tex]A = \frac{1}{7}[/tex]
Period = [tex]\frac{2\pi}{B} = \frac{2\pi}{8} = \frac{\pi}{4}[/tex]
Phase shift = [tex]C = - \frac{\pi}{6}[/tex]
Vertical shift = [tex]D = -5[/tex]
A basket ball team played six games. In those games, the team won by 8 points, lost by 10, won by 7, won by 10, lost by 3, and won by 6. What was the mean difference in game scores over the six games?
Answer: 3
Step-by-step explanation:
Mean simply means average. To calculate mean,we add together all the numbers given and divide them by the amount of numbers.
The Mean here will be:
= [8 +(-10) + 7 + 10 + (-3) + 6]/6
=18/6
= 3
The mean is 3
2. I buy two bottles of cola for £1.40 each. How much change will I have from £5?
Answer:
£2.20
Step-by-step explanation:
ok i don't know any thing about pounds i think those are pounds but i do know my math
2 x 1.40 = 2.80
if you gave the caster 5 pounds they would give you ? back
5 - 2.80 = 2.20
you would get 2.20 pounds in return
Answer:
£2.20 (Without paying taxes)
Step-by-step explanation:
First you multiply 1.4 x 2 to get 2.8
Then subtract that by 5 ( 5.0 - 2.8)
Finally from that you will have gotten the answer 2.2
The slope of a line is -4, and the y-intercept is -3. What is the equation of the line written in slope-intercept form?
y = 4x - 3
y = -4x + 3
y = -4x - 3
Answer:
y = - 4x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 4 and c = - 3 , thus
y = - 4x - 3 ← equation of line
Hii!
__________________________________________________________
Answer:
Below is all the info you need! ^^
Step-by-step explanation:
Do you remember the slope intercept formula?
y=mx+c is the formula, in which m denotes the slope and c denotes the y intercept.
Suppose we have the slope m and the y intercept c. What is the equation? y=mx+c.
Similarly, if we have the slope -4, and the y intercept -3, the equation is y=-4x+(-3), or y=-4x-3.
--
Hope that this helped! Best wishes.
--
What is the value of
[tex]( \frac{3 {}^{0} }{27? \frac{2}{3} } ) {}^{1} [/tex]
A. - 9
B. 9
C.-1/9
D.1/9
Answer:
D
Step-by-step explanation:
You can ignore the power, since taking something to the power of one doesn't change the answer.
Anything to the 0 is going to be 1, so the answer is one over something.
The denominator is clearly going to be positive, regardless of what the symbol is.
With this in mind, it seems like the answer should be 1/9.
Find the value of x that will so that the lines will be parallel.
(6x + 12)
(2x)
Answer:
x= 21
Step-by-step explanation:
6x +12 + 2x = 180
8x= 168
x= 21
y = -2 x2 + 8x - 5
Find the vertex(minimum or maximum) ,the equation of the axis of symmetry,the y-intercept,the domain and range,and then graph the function by making a table .Label the graph with all the information you were asked to find.
Answer:
Step by Step Solution:
More Icon
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2".
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(-2*x^2+8*x-5)=0
STEP
1
:
Equation at the end of step 1
y - (((0 - 2x2) + 8x) - 5) = 0
STEP
2
:
Equation at the end of step 2
y + 2x2 - 8x + 5 = 0
STEP
3
:
Solving a Single Variable Equation
3.1 Solve y+2x2-8x+5 = 0
In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.
We shall not handle this type of equations at this time.
Step-by-step explanation:
Classify the number: -17.5 *
Irrational
Rational
Rational, Integer
Rational, Integer, Whole
Answer:
rational, integer, whole
Step-by-step explanation:
Find the circumference of a circle that has a radius of 5 inches. Use 3.14 as an
approximation. PLEASE ANSWER ASAP
Answer:
The answer is 31.42
Step-by-step explanation:
3.14×5=15.7
15.7×2=31.4
Answer:
31.4 inches
Step-by-step explanation:
the circumference of a circle= 2πr
2(3.14)(5)=31.4 inches
HELP PLEASE ASAP GIVE ANSWER AND EXPLANATION PLEASEEE
Answer:
There are 24 boys and 4 teachers.
Step-by-step explanation:
To get 18, you multiply 3 by 6. To get 24, you multiply 4 by 6.
You add 18 and 24 together to get 42, which is double 21 and there are 2 teachers for every 21 students
PLEASE HELP I NEED IT FAST
Please can you help me, I only have about 20 minutes to get this done. Thanks!
Answer:
B: 9d^8
Step-by-step explanation:
Simplify the expression using the rules of exponents.