Answer:
Step-by-step explanation:
Answer:
EC=2, AD=2.4
Step-by-step explanation:
Objectives: Similar Triangles. We need to establish the scale factor of the similar triangles, and use that factor to find the missing side length.
The corresponding similar side of the left triangle is AD and AB. AB measure is 4.5 and AD measure is 1.5 so this means that AB is 3 times as long as AD. This also means that for the other sides of the left triangle as well.
AC is 3 times as long as AEBC is 3 times as long as DEUsing this information and what given in the diagram, AC measure is 3 but we need to find EC measure. We can use the addition postulate to find EC.
AE+EC=AC1+EC=3EC=2The same can be done for the triangle on the right. AC is 3 times longer than AE, so this means that AB is 3 times longer than AB using that knowledge, AD measure is 2.4
Can someone please help with 5x-4<10
Answer:
Step-by-step explanation:
5x-4<10
or, 5x<14
or, x<14/5
so, x<2.8
[tex]\displaystyle\bf 5x-4<10\\\\5x<14\\\\\boxed{x<2,8} \\\\Answer: x<2,8\quad or \quad x\in(-\infty;2,8)[/tex]
A triangle ABC is right angled at A, AL is perpendicular to BC. Prove that angle BAL= angle BCA.
Step-by-step explanation:
triangle BCA=BAL bcoz Angle BCA= Angle BAL
A pallet of floor tiles contains 60 cases of tiles, and the yard has 10 complete pallets of tile. If you remove 180 cases for one customer how many cases of tiles will be remaining in the yard?
Total cases = total pallets x cases per pallet
Total cases = 60 x 10 = 600 cases
600 cases - 180 cases = 420 cases left
Answer: 420 cases
PLEASE HELP TIMED. Verify which of the following are identities.
Pick the correct graph and equation pleasee!
Given:
Amount of flour in a bin = 30 cups
Flour required for each signature cake = [tex]1\dfrac{1}{2}[/tex] cups
To find:
The correct equation and graph for the given situation.
Solution:
Let F be the amount of flour in the bin and c be the number of signature cakes.
Flour required for each signature cake = [tex]1\dfrac{1}{2}[/tex] cups
Flour required for each signature cake = [tex]1.5[/tex] cups
Flour required for c signature cakes = [tex]1.5c[/tex] cups
Amount of flour in a bin is 30 cups and it is reduced by 1.5c cups. So, the amount of flour in the bin is:
[tex]F=30-1.5c[/tex]
At [tex]c=0[/tex], we get
[tex]F=30-1.5(0)[/tex]
[tex]F=30[/tex]
At [tex]F=0[/tex], we get
[tex]0=30-1.5c[/tex]
[tex]1.5c=30[/tex]
[tex]c=\dfrac{30}{1.5}[/tex]
[tex]c=20[/tex]
Therefore, the required equation is [tex]F=30-1.5c[/tex] and the 4th graph is correct.
[tex] {2}^{x} - 3( {2}^{x + \frac{1}{2} } ) + {2}^{2} = 0[/tex]
Can someone solve this equation?
Answer:
[tex]x = log_{2}( \frac{4+12 \sqrt{12} }{17} ) [/tex]
Step-by-step explanation:
I have attached the explanation above. hopefully this help
Answer: [tex]\Large\boxed{x=log_2\frac{12\sqrt{2}+4}{17}}[/tex]
Step-by-step explanation: [tex]\displaystyle\ \bigg{2^x-3(2^{x+\frac{1}{2} }})+2^2=0 \qquad ; \ \ \boxed{t=2^x} \\\\t-3t\sqrt{2} +4=0 \\\\ t(1-3\sqrt{2} )=-4 \\\\ t=\frac{4}{3\sqrt{2} -1} \cdot \frac{3\sqrt{2}+1 }{3\sqrt{2}+1 } =\frac{12\sqrt{2}+4}{17} \\\\\\2^x=\frac{12\sqrt{2}+4}{17} \\\\x=log_2 \ \ \frac{12\sqrt{2}+4}{17}[/tex]
find missing side of triangle. help
Answer:
x² + 2² =(√15)²
x²+ 4. =15
x² =15-4
x² =11
x. =√11 mi
so the answer is 4th option
Find an equation for the perpendicular bisector of the line segment
whose endpoints are (9, -3) and (-5, –7).
Step-by-step explanation:
So here is my attempt. And i guess its correct
Which graph below shows the solutions for the linear inequality v2-3x+1?
A
B
10, 1)
(0.1)
с
D
10.1)
16,-1)
16,-1)
Answer:
A. Graph D
Step-by-step explanation:
y >= -1/3x + 1
this means all the y values that are bigger (= above) than the line definition.
and because it says ">=", the line is included.
A can of cashews mixed with almonds costs $24.60. Cashews cost $4.25//lb and almonds cost $3.80/lb. There are twice as many cashews as almonds in the can. How many pounds of each type are in the can?
Answer: 2 and 4 lb
Step-by-step explanation:
Given
There are twice as many cashews as almonds in the can
Cashews costs [tex]\$4.25\ lb[/tex]
Almonds costs [tex]\$3.80\ lb[/tex]
Can costs $24.60
Suppose there are x lb almonds, so there is 2x lb cashews
[tex]\Rightarrow (2x)4.25+x\cdot 3.80=24.60\\\Rightarrow 8.5x+3.8x=24.60\\\Rightarrow 12.3x=24.60\\\Rightarrow x=2\ lb[/tex]
Amount of cashews =4 lb
Amount of almonds =2 lb
Which of the following rational functions is graphed below?
Answer:
A)
Step-by-step explanation:
Vincent has $5 bills and $20 bills. He has a total of 24 bills and the total amount is $210. How many
$5 bills does he have?
pls help w work shown!!
1 cubit = 6 palms , 2 cubit = 3 roman feet , 1 Roman foot = 296 millimeters.
Cubits, palms, and Roman feet are linear measurements that were used in ancient Rome.
Based on the relationships shown above, how many
millimeters equals 1 palm?
A) 16
B) 36
C) 72
D) 74
Answer:
D) 74
Step-by-step explanation:
1c = 6p
1c = 1.5f
1f = 296
6/1.5 = 4
296/4 = 74
Maths assignment
a^3-9a
Answer:
a³-9a
a³-9a
=a(a+3)(a-3)
Which of the following steps were applied to ABCD to obtain A'B'C'D?
4
4
O A. shifted 2 units left and 4 units up
OB. shifted 2 units left and 3 units up
O C. shifted 3 units left and 2 units up
OD. shifted 3 units left and 4 units up
It would be great if someone helped me with this
Answer:
Step-by-step explanation:
They appear to be linear so that's easy enough to find out. What we are being asked is to find the equation represented by each table. Knowing that they are linear, we need the slope of each one and then the y-intercept of each one (each "one" being each table). Let's begin with the y-intercept. The y-intercepts exist where x = 0. In the first table, where x = 0, y = -4; in the second table, where x = 0, y = 3.
The equation we will finally fill in is y = mx + b, where m is the slope and b is the y-intercept.
Solving for slope in the first table:
[tex]m=\frac{-4-(-7)}{0-(-1)}=\frac{3}{1}=3[/tex] and the equation for this table is
y = 3x - 4
Solving for the slope in the second table:
[tex]m=\frac{3-4}{0-(-1)}=\frac{-1}{1}=-1[/tex] and the equation for this table is
y = -1x + 3 or just y = -x + 3
That's the system, which happens to be choice D
Which of the following is a geometric sequence
Answer:
B.
Step-by-step explanation:
A geometric sequence is where a number is multiplied or divided by same number
in option be all number ar the power of 2 so the correct answer would be B
PLEASE I NEED HELP WITH THIS ONE
Answer:
H
Step-by-step explanation:
When h=0,t=45.
so we can exclude F.
When h=10,t=15.
only H satisfiy the condition.
Answer:
H
The line shows an inverse proportionality between temperature and time:
[tex]{ \tt{t \: \alpha \: \frac{1}{h} }} \\ \\ { \tt{t = \frac{k}{h} }}[/tex]
Slope or change:
[tex] = \frac{45 - 30}{0 - 5} \\ = - 3[/tex]
y-intercept:
[tex]c = 45[/tex]
General equation:
[tex]y = - 3x + 45[/tex]
At the beginning of year 1, Matilda invests $450 at an annual simple interest rate of 5%. She makes no deposits to or withdrawals from the account. Which explicit formula can be used to find the account's balance at the beginning of year 15? What is the balance?
Answer:
$765
Step-by-step explanation:
[tex]interest \: = \frac{prt}{100} \\ = \frac{(450)(5)(14)}{100} \\ = 315 \\ total \: money \: = 315 + 450 \\ = 765[/tex]
A(n) = 450 + (n – 1)(0.05 • 450); $765.00
In an indirect proof, you prove an "if-then" statement is true by assuming the statement is false (stating the inverse or converse), and then disproving the false statement. You want to prove the statement shown below in an indirect proof. What statement should you prove is false?
Statement to Prove True: If a figure has exactly three sides, then it is a triangle.
Statement to Prove False:
Answer:
Step-by-step explanation:
If the endpoints of AB are located at (0,7) and (8,8) what is the length of AB?
Answer:
√65
Step-by-step explanation:
The distance formula can be represented as
[tex]\sqrt{(x_{2} -x_1)^2 + (y_2-y_1)^2}[/tex]
Taking (8,8) as (x₂, y₂) and (0,7) as (x₁, y₁), we have
[tex]\sqrt{(8 -0)^2 + (8-7)^2}\\= \sqrt{8^2 + 1^2}\\= \sqrt{65}[/tex]
as our answer
ASAP !!
If using the method of completing the square to solve the quadratic equation x^2+3x-17=0x
2
+3x−17=0, which number would have to be added to "complete the square"?
Answer:
17
Step-by-step explanation:
How many ways can you order a hamburger if you can order it with or without cheese, ketchup, mustard, bacon, mayo, or lettuce?
1. 66
2. 69
3. 64
4. 68
Answer:
64
Step-by-step explanation:
2x2x2x2x2x2 = 64
Solve for x. Round to the nearest tenth of a degree, if necessary
Answer:
29.4 is the correct answer, it's rounded up so that you don't have to accidentally get it wrong like I did, lol
Step-by-step explanation:
A stockbroker has kept a daily record of the value of a particular stock over the years and finds that prices of the stock form a normal distribution with a mean of $8.52 with a standard deviation of $2.38. The stock price beyond which 0.05 of the distribution falls is _________.
Answer:
$12.43
Step-by-step explanation:
Given :
Mean = $8.52
Standard deviation, = $2.38
Stock price which falls beyond 0.05 of the distribution is at the 95th percentile
The 95th percentile distribution has a Pvalue of 1.645 (standard normal table)
We obtain the value of x, with z = 1.645
Using the Zscore relation :
Zscore = (score - mean) / standard deviation
1.645 = (score - 8.52) / 2.38
Cross multiply :
1.645 * 2.38 = score - 8.52
3.9151 = score - 8.52
Score = 8.52 + 3.9151
Score = $12.4351
Stock price beyond 0.05 is $12.43
Which steps will verify that a parallelogram is a rectangle? Check all that apply.
To verify that a given parallelogram is a rectangle, you can calculate the lengths of all sides, and show that both pairs of opposite sides are congruent and calculate the slopes of every side, and show that adjacent sides are perpendicular.
Answer: 1st one and last one
Step-by-step explanation:
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
Luz’ family went out to breakfast on Saturday. The bill was $38.50 and the family wanted to leave a 20 percent tip for the server. Below is Luz’s calculation.
$38.50(0.02) = $0.77
Did Luz calculate the gratuity correctly?
Answer:
no .... 20% is .2 not .02
Step-by-step explanation:
pls help, i have class rn :(
in how many ways can alice distribute 12 apples to 3 children (a child can have no apples)
Help,anyone can help me do quetion,I will mark brainlest.
Answer:
I have absolutely no clue sorry buddy
Step-by-step explanation:
There is no step-by-step explanation
Answer:
Hi
Step-by-step explanation:
I can help you
2. Area of a rectangle 40 cm2
So. We know the area AND one of the sides of the rectangle.
We can calculate the area.
We know that area=length times width
so
A=lw
Rearrange that for w:
w=A/l
w=40:8
w=5
Now we know both l and w
Now we can calculate the perimeter
P=2a+2b
P=2(a+b)
P=2(8+5)
P=2(13)
P=26
I hope it is correct