Work out the area of triangle ABC.
Answer:
A = 4 cm²
Step-by-step explanation:
The area of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
b = AC = 3[tex]\sqrt{2}[/tex] + [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex]
h = BD
Calculate BD using Pythagoras' identity in Δ ABD
BD² = AB² - AD²
= (2[tex]\sqrt{5}[/tex] )² - (3[tex]\sqrt{2}[/tex] )²
= 20 - 18 = 2 ( take square root of both sides )
BD = [tex]\sqrt{2}[/tex]
Then
A = [tex]\frac{1}{2}[/tex] × 4[tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 2 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 4 cm²
Is this relation a function? Justify your answer.
11
10
.
9
8
7
6
5
.
- NAU
4
3
2
1 2 3 4 5 6 7 8 9 10 11
O A. Yes, because every x-value corresponds with a single y-value.
O B. Yes, because the number of x-values is the same as the number of
y-values.
O C. Yes, because every x- and y-value is positive.
D. No, because two points with the same y-value have different x-
values.
st
The reason why the given graph relation is considered to be a function is because;
A. Yes, because every x-value corresponds with a single y-value.
From the given graph, we see the (x, y) coordinates as;
(5, 4)
(7, 2)
(6, 9)
(3, 10)
Now, we see that none of the x-values are the same and likewise none of the y-values are the same.
This means that each of the x-values have a unique y-value.
Thus, it can be said to be a function
Read more about properties of functions at;https://brainly.com/question/18427017
Please help!
5^3 x 5^-7
Answer: 0.0016
Step-by-step explanation:
5^3 = 125
5^-7 = 0.0000128
125 * 0.0000128 = 0.0016
3x + y =4 in standard form
Answer:
3x+y=4
Explanation:
Standard form is Ax + By = C
Julie estimated her town's population at 77,500. The actual population of her town is 75,000,
Find the percent error.
Answer:
3.3%
Step-by-step explanation:
77500-75000=2500
2500/75000 x100=3.3%
Solve 2(x - 5) + 11 = 17
Show how you got your answer(s).
Are either of your answer extraneous yes or no. Justify your response
Answer:
x=8 and is not extraneous
Step-by-step explanation:
2(x-5)+11=17
2x-10+11=17
2x+1=17
2x=17-1
2x=16
x=8
extraneous means it is a solution, but it is not possible in the equation, to determine if it is extraneous, plug it in to the original equation
2(8-5)+11=17
2(3)+11=17
6+11=17
17=17
since it works in the orignial equation it is not extraneous
The solution to the equation 2(x - 5) + 11 = 17 is x = 8
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
2(x - 5) + 11 = 17
When the like terms are evaluated, we have
2(x - 5) = 6
Divide through the equation by 2
x - 5 = 3
So, we have
x = 3 + 5
Evaluate
x = 8
Hence, the solution to the equation is x = 8
Read more about equation at
https://brainly.com/question/32583193
#SPJ3
30% of the parks have a pool. If there are 9 parks with pools, how many parks are there altogether?
Answer:
30 parks
Step-by-step explanation:
9÷0.3=30 parks
a right triangle has a leg length of 14 yards and a hypotenuse of length 43 yards. Find the length of the other leg. Provide an answer accurate to the nearest tenth
By applying the Pythagorean theorem, we will find that the length of the other leg of the right triangle is 40.7 yards.
If for right triangle we define A and B as the length of the two legs, and H as the length of the hypotenuse, the Pythagorean theorem says that:
A^2 + B^2 = H^2
Here we know that:
A = 14 yd
H = 43 yd
And we want to find the other leg, then we can replace that in the equation to get:
(14yd)^2 + B^2 = (43yd)^2
B = √( (43yd)^2 - (14yd)^2) = 40.7 yd
So the other leg length is 40.7 yards.
If you want to learn more about right triangles, you can read:
https://brainly.com/question/2217700
Someone help pls and explain it if you can pls
the answer is: y = 3x + 1
P/s: i can't see the picture clearly but the answer is not A or C
ok done. Thank to me :>
Greg has only nickels and dimes in his money box. He knows that he has more than $10 in the box. Let x represent the number of nickels in the box and y represent the number of dimes in the box. Which of the following statements best describes the steps to graph the solution to the inequality in x and y? (5 points)
a
Draw a dashed line to represent the graph of 5x + 10y = 1000, and shade the portion below the line for positive values of x and y.
b
Draw a dashed line to represent the graph of 5x + 10y = 1000, and shade the portion above the line for positive values of x and y.
c
Draw a dashed line to represent the graph of 10x + 5y = 1000, and shade the portion above the line for positive values of x and y.
d
Draw a dashed line to represent the graph of 10x + 5y = 1000, and shade the portion below the line for positive values of x and y.
Answer: Draw a dashed line to represent the graph of , and shade the portion above the line for positive values of x and y
Step-by-step explanation: Let
x------> the number of nickels in the box
y------->the number of dimes in the box
we know that
so
Multiply by both sides
-----> inequality that represent the situation
The solution of the inequality is the shaded area above the dashed line for positive values of x and y
The equation of the dashed line is
therefore
the answer is
Draw a dashed line to represent the graph of , and shade the portion above the line for positive values of x and y
The Thomas family budgeted 8% of their annual disposable income of $32,725 on clothes. Vincent was allowed 22% of the amount budgeted. How much can Vincent spend annually on clothes?
A. $575.96
B. $2,618.00
C. $599.96
D. $340.88
Answer:
so first you add something and then subtract and then divide then you er butf then youcan see toplod ej
y=2x + 4
y = 2(x + 2)
what is x
Answer:
I believe 1.) is x=y-4/2 and 2.) x=y-4/2 as well
Step-by-step explanation:
1.)
y=2x+4
-subtract 4 on both sides-
y-4=2x
-divide 2 on both sides-
x=y-4/2
2.)
y=2(x+2)
-distribute the 2-
y=2x+2
-subtract 2 on both sides-
y-2=2x
-divide 2 on both sides-
x=y-2/4
I dont know exactly if this is correct, but i hope it helps! :)
Nachelle is 1.45 meters tall. At 11 a.m., she measures the length of a tree's shadow to be 23.05 meters. She stands 18.9 meters away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
Step-by-step explanation:
this creates 2 similar triangles.
that means all angles are the same. and all the side lengths of one triangle correlate to the corresponding side lengths of the other triangle by the same multiplication factor.
her shadow is 23.05 - 18.9 = 4.15 m long.
the factor between the shadow lengths is then
4.15 × f = 23.05
f = 23.05 / 4.15 = 5.554216867...
the same factor now applies to the relation of the heights :
1.45 × 5.554216867... = 8.053614458... m
rounded the tree is 8.05 m tall.
After heating up in a teapot, a cup of hot water is poured at a temperature of 203°F.
The cup sits to cool in a room at a temperature of 72°F. Newton's Law of Cooling
explains that the temperature of the cup of water will decrease proportionally to the
difference between the temperature of the water and the temperature of the room, as
given by the formula below:
T = Ta +(T. -T.)e-kt
To = the temperature surrounding the object
To = the initial temperature of the object
t = the time in minutes
T = the temperature of the object after t minutes
k=decay constant
The
cup of water reaches the temperature of 183°F after 2.5 minutes. Using this
information, find the value of k, to the nearest thousandth. Use the resulting
equation to determine the Fahrenheit temperature of the cup of water, to the
nearest degree, after 5 minutes.
Answer:
asd
Step-by-step explanation:
What is the solution for -10 < x - 9?
x > -19
x < -1
x < -19
x > -1
Answer:
x > - 1
Step-by-step explanation:
- 10 < x - 9 ( add 9 to both sides )
- 1 < x , therefore
x > - 1
Answer:
x > -1
Step-by-step explanation:
why:
-10 < x-9 for exemple 2< 3
x-9 > -10 3 > 2
just add 9 to both sides
x-9 +9 > -10 +9
x > -1
meth2
x-9 > -10
x > -10 +9 left to right
x> -1
Given that 3 * 6 = 12 and 2 * 5 = 9, then a * b may be defined as
Answer:
3 *6=12
3+6=9
9+3=12
2*5=2+5=7
7+2=9
a*b=a+b+a
Solve for x in the hanger below
Answer:
x=3
Step-by-step explanation:
the price of a bag was rupees 700 last it increased 2% this year, what is the price now
Answer:
14
Step-by-step explanation:
Percentage increase =
2% × 700 =
2 ÷ 100 × 700 =
2 × 700 ÷ 100 =
1,400 ÷ 100 =
14
Answer:
Step-by-step explanation:
In order to use a percent in the math work, it must be changed to a decimal, so instead if 2% use .02
700 × .02 = 14
14 is the amount of the increase, so it must be added onto the strarting amount.
700 + 14 = 714
A different way to do this is to say the new amount will be all of the original amount (100%) and also the increase (2%) So in just one step we can calculate th new amount
700 × 1.02 = 714
714 is the price now.
Set of ordered pairs: Is it a function? (yes no ) Why or why not? (0,3),(-1,4),(2,4),(0,8),(5,7)
Answer:
No
Step-by-step explanation:
A function cannot have two different points with the same x-coordinate. For instance in this one, (0,3) & (0,8) share the same value of x
NO LINKS HELP (question is in picture)
Step-by-step explanation:
area of ∆ is 10in².
hope this helps you.
Select the correct answer.
A pencil costs $0.25 more than an eraser. If the cost of eight pencils is $6.80, what is the cost of one eraser?
A.
$1.80
B.
$0.85
C.
$0.60
D.
$0.40
E.
$0.30
Answer:
C.$0.60
hope this help!!!!!!!!!!!!!!!!!!!!!!
If f(x)= x^2 - x+ 1 and f (-1), then the result is
Answer:
3
Step-by-step explanation:
To solve f(-1), entails to replace x by -1 in the function
f(-1)= (-1)^2 - (-1)+ 1
= 1 + 1 + 1
= 3
To practice for a competition, Jack swam 740 meters in the pool each day for 3 weeks. How many kilometers did Jack swim in those 3 weeks?
1 m = 0.001 km
P.S pls help me
Answer:
10080.000
Hope this helps you! Happy holidays
Answer: 15.54 Km
Step-by-step explanation:
740*21 = 15,540 = 15.54 Km
If you could be so kinda as to give me a brainliest, i am trying to get to virtuoso
4x+2y=7 y=-2x+3.5 how many solutions does this problem have? No solution, one solution, or infinite solutions
Answer: many solutions
Step-by-step explanation:
Please help me!!!!!
Answer:
y = - [tex]\frac{2}{5}[/tex] (x - 5)² + 7
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (5, 7 ) , then
y = a(x - 5)² + 7
To find a substitute (10, - 3 ) into the equation
- 3 = a(10 - 5)² + 7 ( subtract 7 from both sides )
- 10 = 5²a = 25a ( divide both sides by 25 )
[tex]\frac{-10}{25}[/tex] = a , that is
a = - [tex]\frac{2}{5}[/tex]
y = - [tex]\frac{2}{5}[/tex] (x - 5)² + 7 ← in vertex form
Use the algebra tiles to help you solve the equation. 4x-2=10
Answer:
The solution to this equation is x=3
Step-by-step explanation:
If you buy a stock originally valued at $2,500 then sell that stock later at $2,550 what is the percent of increase in the stock?
Answer:
2550-2500 = 5025% percent increase.
Step-by-step explanation:
Answer: 2%
Step-by-step explanation:
2500 X 1.02 = 2,550
someone solve all of this will give brainliest to first person that does (only answer circled numbers)
Solve the system by graphing.
Y=2x+10
y=x+6
First graph each line, then place a dot on the point that represents the solution to the system
Answer:
(-4,2)
Step-by-step explanation:
See attachment
So, I undestood slope right. But, I get confused with the other points that intersect there is multiple of them. How do i look for the slope using rise over run?
Answer:
slope = 2
Step-by-step explanation:
Find 2 points on the line that land perfectly on the grid. I'll choose these 2 here:
(-2, -1) and (0, 3)
Rise is the change in the y value from one point to the other, and run is the change in the x. Looking at these 2 points, y went from -1 to 3. That is a rise of 4. The x went from -2 to 0, so that is a run of 2. "rise over run" means rise literally over run in a fraction like this:
[tex]m=\frac{rise}{run}[/tex]
The more proper way to calculate slope looks like this, but it's really the same thing in the end:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
where (x1, y1) and (x2, y2) are your 2 points.
Finally, the slope of this line is:
[tex]m=\frac{3--1}{0--2}\\\\m=\frac{4}{2}\\\\m=2[/tex]
That's a rise of 4 over a run of 2, and that simplifies to just a slope of 2.
