Answer:
[tex]Area = \frac{1}{2} * AC * D[/tex]
Step-by-step explanation:
From the complete question, we have:
Length D to be perpendicular to side AC
So, the area of the triangle is:
[tex]Area = \frac{1}{2} * Base * Height[/tex]
Since:
Length D is perpendicular to side AC
Then:
[tex]Base = AC[/tex]
[tex]Heigjt =D[/tex]
So:
[tex]Area = \frac{1}{2} * AC * D[/tex]
pls help w this
√2x+1 = 4
In the equation above, what is the value of 2x +1?
A) 3/2
B) 2
C) 4
D) 16
Answer:
[tex]\boxed {\boxed {\sf D. \ 16}}[/tex]
Step-by-step explanation:
We are given the following equation and asked to solve for 2x+1.
[tex]\sqrt {2x+1}=4[/tex]
We want to isolate the entire expression of 2x+1. Notice that it is under the square root. If we want to isolate it, we have to perform the inverse operation. The inverse of a square root is a square, so we square both sides of the equation.
[tex](\sqrt{2x+1} )^2= (4)^2[/tex]
[tex]2x+1=(4)^2[/tex]
[tex]2x+1=16[/tex]
We could continue solving for x, then plug the answer back into the expression 2x+1. However, hopefully you notice that we already found the answer!
We only had to do one step to find the answer, but you could complete many other steps to get the same answer:
[tex]2x+1-1=16-1\\2x=15\\2x/2=15/2\\x= 7.5[/tex] (Solve for x)
[tex]2x+1\\2(7.5)+1\\15+1\\16[/tex] (Plug the answer in for x)
The value of 2x+1 is 16 and the correct answer is 16.
The entry for a science exhibition is $5 for students and four dollars more than the students for adults. On a particular day, 600 people visited the exhibition and $3500 was collected. How many students and adults visited on that day?
Answer:
475 students, 125 adults
Step-by-step explanation:
x + y= 600......equation 1
5x +9y= 3500.......equation 2
From equation 1
x +y = 600
x= 600-y
Substitute 600-y for x in equation 2
5(600-y) +9y= 3500
3000-5y+9y= 3500
3000+4y= 3500
4y= 3500-3000
4y= 500
y= 500/4
y= 125
Substitute 125 for y in equation 1
x + y= 600
x + 125= 600
x = 600-125
x= 475
Hence there are 475 students and 125 adults
At 2:48, what is the degree measure of the smaller angle formed by the hour and minute hands of a 12 hour clock?
Answer:
The smaller angle will be "156°".
Step-by-step explanation:
According to the question,
Before 12, the minute hand at 48 minutes:
= [tex]60-48[/tex]
= [tex]12[/tex] (minutes to 12)
So,
= [tex]12 \ minutes+14 \ minutes[/tex]
= [tex]26 \ minutes[/tex]
hence,
The smaller angle will be:
= [tex]26\times 6^{\circ} \ each[/tex]
= [tex]156^{\circ}[/tex]
Answer:
The angle is 204 degree.
Step-by-step explanation:
The angle turned by minute hand in 1 minute is 6 degree
The angle turned by the hour hand in 1 hour is
For the hour hand :
The angle turned in 1 hour = 360/12 = 30degree
At 2 : 00 , the angle covered = 30 x 2 = 60 degree
In each minute the hour hand moves = 30 degrees / hour x 1 hour/60 min
= 1/2 degree
So at 2: 48 the hour hand is at 2*30 + 48 * 1/2 = 84 degrees
For the minute hand:
In each minute it turns = 6 degrees
So, at 48 minutes the minute hand is at 48 x 6 = 288 degrees
So, the angle between them is 288 - 84 = 204 degrees
WRITE THE FUNCTION FOR THE GIVEN TABLE PLS
Answer:
y=X²-4x+5
Step-by-step explanation:
substitute all the left side values to get the outputs..
y=(5)²-4(5)+5 =10
Answer:
A
Step-by-step explanation:
In fact, if we try to substitute, we have:
10 = 5^2 -4(5) +5
10 = 25 - 20 + 5
10 = 10 (ok)
17 = -2^2 - 4(-2) + 5
17 = 4 + 8 + 5
17 = 17 (ok)
and so on
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"
Given ACM, angle C=90º. AP=9, PM=12. Find AC, CM, AM.
Answer:
AM = 25, AC = 15, CM = 20
Step-by-step explanation:
The given parameters are;
In ΔACM, ∠C = 90°, [tex]\overline{CP}[/tex] ⊥ [tex]\overline{AM}[/tex], AP = 9, and PM = 16
[tex]\overline{AC}[/tex]² + [tex]\overline{CM}[/tex]² = [tex]\overline{AM}[/tex]²
[tex]\overline{AM}[/tex] = [tex]\overline{AP}[/tex] + PM = 9 + 16 = 25
[tex]\overline{AM}[/tex] = 25
[tex]\overline{AC}[/tex]² = [tex]\overline{AP}[/tex]² + [tex]\overline{CP}[/tex]² = 9² + [tex]\overline{CP}[/tex]²
∴ [tex]\overline{AC}[/tex]² = 9² + [tex]\overline{CP}[/tex]²
Similarly we get;
[tex]\overline{CM}[/tex]² = 16² + [tex]\overline{CP}[/tex]²
Therefore, we get;
[tex]\overline{AC}[/tex]² + [tex]\overline{CM}[/tex]² = 9² + [tex]\overline{CP}[/tex]² + 16² + [tex]\overline{CP}[/tex]² = [tex]\overline{AM}[/tex]² = 25²
2·[tex]\overline{CP}[/tex]² = 25² - (9² + 16²) = 288
[tex]\overline{CP}[/tex]² = 288/2 = 144
[tex]\overline{CP}[/tex] = √144 = 12
From [tex]\overline{AC}[/tex]² = 9² + [tex]\overline{CP}[/tex]², we get
[tex]\overline{AC}[/tex] = √(9² + 12²) = 15
[tex]\overline{AC}[/tex] = 15
From, [tex]\overline{CM}[/tex]² = 16² + [tex]\overline{CP}[/tex]², we get;
[tex]\overline{CM}[/tex] = √(16² + 12²) = 20
[tex]\overline{CM}[/tex] = 20.
plz help me with this math and also explain
Step-by-step explanation:
[1]SI = $250Rate (R) = 12[tex] \sf \dfrac{1}{2}[/tex] %Time (t) = 4 years[tex]\longrightarrow \tt { SI = \dfrac{PRT}{100} } \\ [/tex]
[tex]\longrightarrow \tt { 250 = \dfrac{P \times 12\cfrac{1}{2} \times 4}{100} } \\ [/tex]
[tex]\longrightarrow \tt { 250 = \dfrac{P \times \cfrac{25}{2} \times 4}{100} } \\ [/tex]
[tex]\longrightarrow \tt { 250 = \dfrac{P \times 25 \times 2}{100} } \\ [/tex]
[tex]\longrightarrow \tt { 250 = \dfrac{P \times 50}{100} } \\ [/tex]
[tex]\longrightarrow \tt { 250 \times 100 = P \times 50} \\ [/tex]
[tex]\longrightarrow \tt { 25000 = P \times 50} \\ [/tex]
[tex]\longrightarrow \tt { \dfrac{25000}{50} = P } \\ [/tex]
[tex]\longrightarrow \underline{\boxed{ \green{ \tt { \$ \; 500 = P }}}} \\ [/tex]
Therefore principal is $500.
__________________[2]2/7 of the balls are red.3/5 of the balls are blue.Rest are yellow.Number of yellow balls = 36Let the total number of balls be x.
→ Red balls + Blue balls + Yellow balls = Total number of balls
[tex]\longrightarrow \tt{ \dfrac{2}{7}x + \dfrac{3}{5}x + 36 = x} \\ [/tex]
[tex]\longrightarrow \tt{ \dfrac{10x + 21x + 1260}{35} = x} \\ [/tex]
[tex]\longrightarrow \tt{ \dfrac{31x + 1260}{35} = x} \\ [/tex]
[tex]\longrightarrow \tt{ 31x + 1260= 35x} \\ [/tex]
[tex]\longrightarrow \tt{ 1260= 35x-31x} \\ [/tex]
[tex]\longrightarrow \tt{ 1260= 4x} \\ [/tex]
[tex]\longrightarrow \tt{ \dfrac{1260 }{4}= x} \\ [/tex]
[tex]\longrightarrow \underline{\boxed{ \tt { 315 = x }}} \\ [/tex]
Total number of balls is 315.
A/Q,
3/5 of the balls are blue.
[tex]\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}x} \\ [/tex]
[tex]\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}(315)} \\ [/tex]
[tex]\longrightarrow \tt{ Balls_{(Blue)} = 3(63)} \\ [/tex]
[tex]\longrightarrow \underline{\boxed{ \green {\tt { Balls_{(Blue)} = 189 }}}} \\ [/tex]
How many triangles are there in the picture?
Clue, there are more than 30.
Answer:
36?
Step-by-step explanation:
Answer:
42 Triangles
Step-by-step explanation:
Count all the triangles one by one and determine the # of triangles.
Let f be defined as shown. What is f^-1(-3)
Hello,
[tex]f^{-1}(-3)=-1\\[/tex]
You have just to read the arrows un reversed order:
in f we find (-1,-3) so in f^{-1} we find (-1,-3)^{-1}=(-3,-1)
which number produces a rational number when added to 0.25
0.65 is the correct one if not up there try 0.45 other possible one
Step-by-step explanation:
A rational number is defined as any number which can be expressed in fractional p/q of two integers, where 'p' is the numerator and 'q' is the denominator. 'q' can never be zero. A rational number can also be expressed as a terminating decimal. So, when 0.25 is added in 0.45 it becomes 0.65 which is rational.
What is one way the Federal Reserve can reduce the amount of money available in the economy?
A. Raising the discount rate
B. Selling treasury securities
C. Buying treasury securities
D. Lowering the interest on reserves
Answer:
B. Selling treasury securities
Step-by-step explanation:
I'm taking the quiz
The Federal Reserve can reduce the amount of money available in the economy is buying treasury securities.
What is a federal reserve?The Federal Reserve can decrease the money supply by increasing the discount rate. a. Raising the discount rate provides depository institutions a minor incentive to borrow, thereby decreasing their reserves and lending activity. The U.S. government created the Federal Reserve, the nation's central bank, to control the money supply and contain economic calamities.One of the primary objectives of the Federal Reserve exists to function as the lender of last resort, permitting banks to borrow from the central bank when needed.The Fed operates three immediate tools in handling the money supply and observing stable economic growth. The tools exist (1) reserve needs, (2) the discount rate, and (3) open market operations.Each of these controls the money supply in different forms and can be utilized to obtain or develop the economy.The Federal Reserve can decrease the amount of money general in the economy stands buying treasury securities.Therefore, the correct answer exists as option B. Selling treasury securities.
To learn more about Federal Reserve refer to:
https://brainly.com/question/382312
#SPJ2
3/x + 4/5 = 11/10
For what value of x is the equation above true?
A) 3
B) 5
C) 7
D) 10
Answer:
The answer is
[tex] \frac{3}{x} = \frac{11}{10} - \frac{4}{5} \\ \frac{3}{x} = \frac{55 - 40}{50} \\ \frac{3}{x} = \frac{15}{50} \\ \frac{3}{x} = \frac{3}{10} \\ x = 10[/tex]
Which set of numbers includes only integers?
a.)Negative 5, negative 3 and one-fourth, 1, one-eighth
b.)Negative 3, negative 2, 2, 3
c.)Negative 6, negative 4, negative 2, negative one-half
d.)One-half, two-thirds, StartFraction 6 Over 7 EndFraction, 0
Answer:
a
Step-by-step explanation:
in integer there will negative ,positive or rational number
a man invested 800.00in a bank at a simple interest rate of 5% per annum .Find his total amou year
Answer:
£840
Step-by-step explanation:
800 × 1.05 = 840
(1.05 Is the decimal multiplier = (100% + 5%)/100)
This pattern follows the rule add 14. What other features do you observe?
13, 27, 41, 55
All terms are even because even + even = even.
All terms are even because odd + odd = even.
All terms are odd because odd + even = odd.
All terms are even because when you add two numbers together, the sums are always even.
please help me !!!!!!!
Answer:
(32;29) first thing is to find the gradient of that line and form some extra equation ( bodzatu ili
Find QR
PQ= 3
QR= 2x+22
PR= x+17
Find x in the kite below
Answer:
5
Step-by-step explanation:
The given is 3-4-5 special triangle so the missing side represented with x is 5
The students at Southern Junior High School are divided into four homerooms. Benjamin just moved into the school district and will be randomly assigned to one homeroom.
Which methods can be used to simulate this situation? Select three options..
Flip a coin 4 times, once for each homeroom, with heads up representing being assigned to the homeroom represented by that flip.
Draw a marble from a bag containing 5 white marbles, 5 black marbles, 5 red marbles, and 5 green marbles, with each color representing a different homeroom.
Use a random number generator with 1, 2, and 12 representing the first homeroom, 7, 9, and 10 representing the second homeroom, 3, 8, and 11 representing the third homeroom, and 4, 5, and 6 representing the fourth homeroom.
Roll a number cube with 1 representing the first homeroom, 2 representing the second homeroom, 3 representing the third homeroom, and any other outcome representing the fourth homeroom.
Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.
Step-by-step explanation:Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.
Triangle PQR has been dilated to form triangle P'Q'R'. What is the least amount of information needed to determine if the two triangles are similar
Answer:
angles Q and Q' are congruent, angles R and R' are congruent
Step-by-step explanation:
For two triangles to be congruent, we need to show is two of the
1. corresponding angles are congruent,
or,
2. all three pairs of corresponding sides are proportional,
or,
3. two pairs of corresponding sides are proportional AND the included angles are congruent.
And, angles are always congruent when a figure is dilated
Therefore, angles Q and Q' are congruent, angles R and R' are congruent(satisfies the first criterion that at least two corresponding angles are congruent)
A client has two refrigerators, one in the kitchen and one in the basement.The former is new and efficient. The latter is 30 years old and uses 120Kwh/month. If this client pays 0.15/kwh
Incomplete question: we assume figures to explain further
Answer and explanation:
Given that client pays $0.15/kwh
If old fridge is inefficient and consumes 120kwh/month
And new fridge is efficient and therefore consumes 50kwh/month
For the old fridge, client will be paying
120×0.15= $18 per month on electricity charges
For the new fridge, client will be paying
50×0.15= $7.5 per month on electricity charges
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
Which point on the number line represents a drop in temperature of 3 degrees from 0 degrees?
Answer:
Point A
Step-by-step explanation:
The question is asking for a drop in 3 degrees. That means whatever point we start on, we subtract 3 from it. We start on 0, so 0-3=-3. That is point A.
Answer:
A
Step-by-step explanation:
if x/y=(3/5)^3÷(6/5)^0'find the value of (x/y)^2
Answer:
729/15625
Step-by-step explanation:
1. Evaluate the power
( (27/125) ÷ 1 )^2
2. divide
( 27/125 )^2
evaluate the power
( 27^2 / 125^2 )
729/15625
Please help!!!!!!!! I’ve been stuck on this
4a+b+16a^2-b^2 how to factorize this can u plz solve it
Answer:
(4a+b)(1+4a-b)
Step-by-step explanation:
4a+b+16a²-b²4a+b+(4a)²-(b)²4a+b+(4a+b)(4a-b)(4a+b)(1+4a-b)hope it helps
stay safe healthy and happy.Answer:
(4a + b)( 1 + 4a - b )
Step-by-step explanation:
4a + b + 16a² - b²
Step 1 :- Use a² - b² = ( a - b ) ( a + b ) to factor the expression.
4a + b + ( 4a - b ) ( 4a + b ).
Step 2 :- Factor out 4a + b from the expression.
(4a + b)( 1 + 4a - b )
What is the 10th term of the geometric sequence a(n)=-3(2)^(x-1_())
[tex]\displaystyle\ a(n)=-3(2)^ {n-1}\Longrightarrow a(10)=-3(2)^{10-1}=2^9\cdot -3=\boxed{-1536}[/tex]
What is the slope of the line shown below?
Answer:
Hello there,
The correct answer to this question would be D 1/6
Step-by-step explanation:
I had took the test and it said it was correct.
Anyways hope this helps
if the answer is correct pls mark Brainliest
thank you, have a nice day
Question 24 of 42
Which of the following conditions is not sufficient to show that the two
triangles are congruent?
AA
A
X Х
5-
A. AABC and Axyz have the same orientation.
B. The rise and run of the translation between each pair of
corresponding points are the same.
A
Answer:
I think A is correct
Step-by-step explanation:
I can't see D so I'm not sure, hope it's right
The function g(x) is a transformation of the cube root parent function,
Answer:
I believe that the answer is B as well
Step-by-step explanation:
This might be for Ap3x but not 100% sure
