Answer:
15cm²
Step-by-step explanation:
Area of a triangle: 1/2*b*h
a = height (6cm)
b = base (5cm)
A = 1/2* b * h
A = 1/2 * 5 * 6
A = 1/2 * 30
A = 15cm² <== final answer
Hope this helps!
HELLLPP ME PLEASSEEE!!!!!
Consider the two circles shown.
To show that circle P is similar to circle Q, circle P is translated t units to the right. The image is then dilated about its center by a scale factor of s.
What are the values of t and s?
Show me:
(t) What is the horizontal distance between the center of circle P to the center of circle Q?
(s) What is the scale factor dilating from circle P to circle Q?
The similar circles P and Q can be made equal by dilation and translation
The horizontal distance between the center of circles P and Q is 11.70 unitsThe scale factor of dilation from circle P to Q is 2.5The horizontal distance between their centers?From the figure, we have the centers to be:
P = (-5,4)
Q = (6,8)
The distance is then calculated using:
d = √(x2 - x1)^2 + (y2 - y1)^2
So, we have:
d = √(6 + 5)^2 + (8 - 4)^2
Evaluate the sum
d = √137
Evaluate the root
d = 11.70
Hence, the horizontal distance between the center of circles P and Q is 11.70 units
The scale factor of dilation from circle P to QWe have their radius to be:
P = 2
Q = 5
Divide the radius of Q by P to determine the scale factor (k)
k = Q/P
k = 5/2
k = 2.5
Hence, the scale factor of dilation from circle P to Q is 2.5
Read more about dilation at:
https://brainly.com/question/3457976
Jack is 3 times as old as Lacy. 9 years ago the sum of their ages was 22 . How old are they now?
Answer:
Jack is 31
Lacy is 10
Step-by-step explanation:
x - 9 = 22
since jack is 3 times as old as lacy,
the formula is
3x - 9 = 22
3x = 31
x = 10.3
So Jack is 31
And Lacy is 10
To prove this, subract 9 (years) from both ages
It will give you an approximate sum of 22 years for both their ages, as the question states
Since Lacy is a little over 10 years old, Jack is 31 instead of 30
The formula was taken from someone elses answer so sorry if it`s wrong
solve the question in the picture
Answer:
n = 7
Step-by-step explanation:
simplify the logs according to their bases
Answer:
n = 7
Step-by-step explanation:
[tex]\sf \log_4(64)^{n+1}=log_5(625)^{n-1}[/tex]
Change 64 to an exponent with base 4 and 625 to an exponent with base 5:
[tex]\implies \sf \log_4(4^3)^{n+1}=log_5(5^4)^{n-1}[/tex]
Using exponent rule [tex](a^b)^c=a^{bc}[/tex]
[tex]\implies \sf \log_4(4)^{3(n+1)}=log_5(5)^{4(n-1)}[/tex]
Using log rule: [tex]\log_a(b^c)=c \log_a(b)[/tex]
[tex]\implies \sf 3(n+1)\log_4(4)}=4(n-1)log_5(5)[/tex]
Using log rule: [tex]\sf \log_a(a)=1[/tex]
[tex]\implies \sf 3(n+1)=4(n-1)[/tex]
[tex]\implies \sf 3n+3=4n-4[/tex]
[tex]\implies \sf 3+4=4n-3n[/tex]
[tex]\implies \sf n=7[/tex]
How many factors do numbers of the form p^n and q^m have if p and q are two different prime numbers and m and n are natural numbers?
The only common factor between these two numbers will be 1.
How many factors do these numbers share?
Remember that any number can be decomposed as a product of prime numbers. For example for 18 we have:
18 = 2*3*3
There 18 is written as a product of its prime factors.
Now, for our case of p^n and q^m we will have:
p^n = P = p*p*p...*p n times.
q^m = Q = q*q*q*...*q m times.
Now, notice that because q and p are primes, there is no common factor in these two decompositions. (and we can't decompose it furthermore). Then we conclude that the only factor that these numbers share is the trivial one, which is 1.
If you want to learn more about prime numbers, you can read:
https://brainly.com/question/145452
A cake for 6 people requires 4 eggs.How many eggs are needed to make a cake big enough for 9 people
Answer:
6
Step-by-step explanation:
Divide the amount of eggs by the amount of people this gives you the amount of eggs needed for one person then times by 9
(4÷6) x9
Solve for the b 4 ( b + 5 )- 2b = 100
4 ( b + 5 )- 2b = 100
____________________
B = 40
Answer:
[tex]\tt b=40[/tex]
Step-by-step explanation:
[tex]\tt 4 ( b + 5 )- 2b = 100[/tex]
[tex]\bf Expand\; (Apply\; Distributions\; Law) :-[/tex]
[tex]\tt 2b+20=100[/tex]
[tex]\tt 2b+20-20=100-20\;\; (Subtract \;20\; from\; both \;sides)[/tex]
[tex]\tt 2b=80[/tex] [tex]\tt (Simplify)[/tex]
[tex]\tt \cfrac{2b}{2}=\cfrac{80}{2}\;\;( Divide\; both \;sides\: by\; 2)[/tex]
[tex]\tt b=40[/tex]
~
Shaquana owns a small business selling bagels. She knows that in the last week 93 customers paid cash, 7 customers used a debit card, and 5 customers used a credit card.
Based on these results, express the probability that the next customer will pay with cash as a decimal to the nearest hundredth.
Answer:The probability as a decimal to the nearest hundredth is 0.89
Step-by-step explanation:
i just did it and got it right
The probability that the next customer will pay with cash as a decimal to the nearest hundredth is 0.89
What is probability?"Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are."
What is decimal?"A decimal is a fraction written in a special form. Instead of writing [tex]\frac{1}{2}[/tex], for example, you can express the fraction as the decimal 0.5, where the zero is in the ones place and the five is in the tenths place."
We have
Customers paid cash = 93
Customers used debit card = 7
Customers used credit card = 5
Number of favorable outcomes n(S)
= 93
Total number of outcomes n(E)
= 93+7+5
= 105
The probability that the next customer will pay with cash
= [tex]\frac{n(S)}{n(E)}[/tex]
= [tex]\frac{93}{105}[/tex]
= [tex]0.885[/tex]
= 0.89 (nearest hundredth)
Hence, the probability that the next customer will pay with cash as a decimal to the nearest hundredth is 0.89.
Learn more about probability here
https://brainly.in/question/20635873
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Write a formula that only works if the angle in the formula is given in radians.
A log is partly buried in the mud. One third of the log is buried and 8 meters of the log are above ground. What is the total length of the log?
Answer:
12
Step-by-step explanation:
The answer is 12 because if 1/3 of the log is buried then 2/3 of the log is 8 meters. 8 divided by 2 is 4 so you know that 1/3 of the log is 4 meters. Then you just multiply 4 times 3 or add 4 and 8.
Answer:
12 meters
Step-by-step explanation:
see image. If 1/3 log is buried, then 2/3 (the rest of it) log is above ground. If 8meters of log is 2/3 of the log, that is 8 meters is 2 parts, then each part is 4 meters.
2 parts (thirds!) above ground:
8 meters
1 part (one-third) below ground:
4 meters
Total is 8 + 4 =12
or 3×4 = 12
The whole log is 12 meters.
700 mL of Tata cooking oil costs $189. Xtra cooking oil sells for $300 per litre. Which is the better buy?
Answer:
Tata oil
Step-by-step explanation:
0.7 L of Tata cooking oil = $1891 L of Xtra cooking oil = $300Per 0.1 L
Tata oil = 189/7 = $27Xtra oil = 300/10 = $30Tata oil is the better buy
Which of the following below is the equation of the quadratic function f(x) with x-intercepts of 0 and -3 for which f(-1)=-2. A. f(x)=-x(x+3), B. f(x)=x(x+3), C. f(x)= x+(x+3), D. f(x)= x(x-3)
✿————✦————✿
Answer: D
✿————✦————✿
.
If two complementary angles are placed side by side, they form a(n)
angle. Side-by-side angles that share a ray and a vertex are called
angles.
of comnlementary angles you can solve for the
Answer:
Two angles whose sides are opposite rays are called vertical angles. Two coplanar angles with a common side, a common vertex, and no common interior points are called adjacent angles.
Further explanation
Adjacent Angles are two angles that share a common vertex, a common side, and no common interior points. They share a vertex and side, but do not overlap. The example is shown in the picture below.
Where ∠1 and ∠2 are adjacent angles, ∠ABC and ∠1 are NOT adjacent angles because ∠ABC overlaps ∠1.
Vertical Angles are two angles whose sides form two pairs of opposite rays (straight lines). Vertical angles are located across from one another in the corners of the "X" formed by the two straight lines. The example is shown in the picture below.
Where ∠1 and ∠2 are vertical angles, ∠3 and ∠4 are vertical angles, Vertical angles are not adjacent. ∠1 and ∠3 are not vertical angles (they are a linear pair) and Vertical angles are always equal in measure.
Step-by-step explanation:
Which is the graph of 25x2 + 4y2 = 100?
Answer:
nasa pic yung answer
Step-by-step explanation:
hope its help
correct me if im wrong
3 lines are shown. A line with points M, H, K intersects a line with points J, H, L at point H. A line extends from point H to point P between angle K H J. Angle M H L is 140 degrees and angle K H P is 20 degrees.
What is mAnglePHJ?
100°
120°
140°
160°
Answer:
120
Step-by-step explanation:
Given:
3 Lines
A line with points M, H, K intersects a line with points J, H, L at point H.
A line extends from point H to point P between angle K H J.
Angle M H L is 140 degrees and angle K H P is 20 degrees.
Solve:
Since, Angle M H L is 140 degrees and angle K H P is 20 degrees.
Then 140 - 20 = 120
Answer is 120
~Lenvy~
What percent of 6y is 24?
Step-by-step explanation:
6y×100=24
600y=24
600y/600=24/600
y=4/100
y=0.04
hello help me with this question thanks in advance
D. 40 ft.
Explanation:Based on the given conditions, formulate:
[tex]30\times20\div15[/tex]
Calculate
[tex]\frac{30\times20}{15}[/tex]
Cross out the common factor
[tex]2\times20[/tex]
Calculate the product or quotient
[tex]40[/tex]
___________________________________________________
Question #39 AnswerC. Yes, Right Triangle Similarity Theorem
Explanation:[tex]-\ If\ an\ altitude\ is\ drawn\ to\ the\ hypotenuse\ of\ a\\ right\ triangle,\ then\ the\ two\ triangles\ formed\ are\\ similar\ to\ the\ original\ triangle\ and\ to\ each\ other.[/tex]
____________________________________________________
Question #40 Answer (Picture attached)D. 23.40 ft.
Explanation:[tex]height\ of\ tree:x[/tex]
[tex]\frac{x}{s_0-d_0}=\frac{39}{50}[/tex]
[tex]x=\frac{30.39}{50}[/tex]
[tex]=23.40ft[/tex]
[tex]\left \{ {{calculate\}[/tex]
I hope this helps you
:)
An ice cream shop sold 352 scoops of ice cream.25% of the scoops sold were strawberry ice cream.how many scoops of strawberry ice cream were sold
Answer:
88 scoops
Step-by-step explanation:
Hello!
If 25% of 352 scoops were strawberry, we find 25% of 352
Solve:
25% of 3520.25 * 35288This means 88 scoops of strawberry were sold.
Image attatched for conversion of decimals, percents, and fractions.
A journeyperson earns $28.75 per hour. A new apprentice earns 60% of the journeyperson's rate.
What would be the apprentices weekly net earnings be for a 40-hour week if there were 27% deductions?
Answer:
$503.70
Step-by-step explanation:
$28.75 × .6 = $17.25
$17.25 × 40 = $690
$690 × .27 = $186.30
$690 - $186.30 = $503.70
Right triangle
What is the area
Left = 20 in
Bottom = 2 in
Answer:
20sq in
Step-by-step explanation:
h x b / 2
20 x 2 / 2
40/2
20
Janie has $3. She earns $1.20d for each chore she does and can do fractions of chores. She wants to earn enough money to buy a CD for $13.50.
Write an inequality to determine the number of chores, c, Janie could do to have enough money to buy the CD.
Answer:
3+1.20c > 13.50
Step-by-step explanation:
hope this helps
What is the value of x?
Answer:
Step-by-step explanation:
All the three sides are equal. So, it is an equilateral triangle.
Each angle in an equilateral triangle = 60°
7x + 4 = 60
7x = 60 -4
7x = 56
x = 56/7
x = 8
Given the equation, what is the center and radius of the circle?
(X-2) ^2+ (Y+11)^2=100
Answer:
Center: (2, -11)
Radius: 10
Step-by-step explanation:
(x - 2)² + (y + 11)² = 100
(x - h)² + (y - k)² = r²
-------------------------------
x - 2 = 0
+2 +2
x = 2
------------
y + 11 = 0
-11 -11
y = -11
------------------------------
r² = 100
r = √100
r = 10
----------------------------
Center: (h, k)
Radius: r
-------------------------------
Center: (2, -11)
Radius: 10
I hope this helps!
We are given the equation of circle (x - 2)² + (y + 11)² = 100 , but let's recall the standard equation of circle i.e (x - h)² + (y - k)² = r², where (h, k) is the centre of the circle and r being the radius ;
So, consider the equation of circle ;
[tex]{:\implies \quad \sf (x-2)^{2}+(y+11)^{2}=100}[/tex]
Can be further written as ;
[tex]{:\implies \quad \sf (x-2)^{2}+\{y-(-11)\}^{2}={10}^{2}}[/tex]
On comparing this equation with the standard equation of Circle, we will get, centre and radius as follows
Centre = (2, -11)Radius = 10 unitsKaseem had 1/4 box of candy. He ate 1/2 of the candy. What fraction of the box did Kaseem eat? Show all work.
Answer:
1/8
Step-by-step explanation:
So he had 1/4 of a candy box and he ate 1/2 of it. 1/2 of 1/4 is 1/8 because 1/4 × 1/2 =1/8
solve to get brainiest
[tex] \frac{3}{10 } = 0.3[/tex]
[tex]0.25 < 0.3 < 0.333[/tex]
[tex] \frac{32}{100} = \frac{8}{25} = 0.32[/tex]
[tex]0.25 < 0.32 < 0.333[/tex]
[tex] \frac{26}{100} = \frac{13}{50} = 0.26[/tex]
[tex]0.25 < 0.26 < 0.333[/tex]
[tex] \frac{28}{100} = \frac{7}{25} = 0.28[/tex]
[tex]0.25 < 0.28 < 0.333[/tex]
[tex] \frac{252}{1000} = \frac{63}{250} = 0.252[/tex]
[tex]0.25 < 0.252 < 0.333[/tex]
5.[tex] \frac{ \frac{ - 2}{5} + \frac{1}{2} }{2} = \frac{ \frac{ - 4 + 5}{10} }{2} = \frac{ \frac{1}{10} }{2} = \frac{1}{20} [/tex]
i’ll try to mark the right answer as brainliest<: ( 20 points )
how do i solve and graph -5x+2y=10
Answer:
at first write the equation in correct order y=Mx+b. 2y=5x=10
y= 5x/2+5.
Step-by-step explanation:
the slope is 5/2. as we know slope is rise over run. so you go up 5 units and go right 2 unit.
the graph picture is added below click on the PNG. hope it helps. have a great day.
Jenny bought a pair of pants for $19.99 and two shirts for $7.50 each. If she gave the cashier $40.00, how much change did she receive?
19.99 + 15= 34.99
40-34.99 = 12.51
Jenny received $5.01 change.
Hello I need help with number 1-12 please and thank you!!!!!
Answer:
Please see above
Step-by-step explanation:
I have to right stuff here but the answer is above.
a dentist's office and parking lot are on a rectangular piece of land. The area (in square meters) of the land is represented by x^2 + x = 30
a. write a binomial that represents the width of the land
b. find the area of the land when the length of the dentists' office is 20 meters
CAN SOMEONE GIVE ME A RIGHT ANGLE TRIG WORD PROBLEM JUST MAKE IT UP PLS ILL GIVE BRAINLIEST
Answer:
In a right triangle, the leg adjacent to an angle of 25° is 13 cm long. How long is the leg opposite the 25° angle, to the nearest tenth?
Step-by-step explanation: