Answer:
Their diagonals intersect at right angles
They are quadrilaterals
Opposite angles are equal
Step-by-step explanation:
Answer:
their shapes
Step-by-step explanation:
they have same corners
Bridget, Jim and Krutika share some sweets in the ratio 4:3:1. Bridget gets 45 more sweets than Krutika. How many sweets are there altogether?
Answer:
120 sweets
Step-by-step explanation:
Bri:Jim:Kru
4: 3: 1
find the difference in the ratio of Bridget and Krutika
4-1=3
ratio 3 is equivalent to 45 sweets
total ratio(4+3+1)--------> ?
total no. of sweets= 8x45
3
=120sweets
Help meh pleassssssee :
Answer:
x-5
Step-by-step explanation:
f(x) = 5x-4
g(x) = 4x+1
Subtracting big equations
(f-g)(x) = 5x-4-4x-1
(f-g)(x) = x-5
Answer:
x-5
Step-by-step explanation:
I had the same question on my assignment lol
It would be SUPER helpful if you could answer this question! The height of a right square pyramid is multiplied by 6, but the area of the base remains fixed. What is the volume of the taller pyramid divided by the volume of the shorter pyramid?
A. 3
B. 6
C. 9
D. 12
Answer:
B. 6
Step-by-step explanation:
The volume is proportional to the height. The ratio of the heights of the taller to shorter pyramids is 6 : 1. Since the pyramids have the same base ares, this is also the ratio of volumes.
The volume ratio is 6.
What is the quotient of the complex numbers below?
(Urgent ❗️❗️)
Answer:
the answer is C
Answer:
The answer is C.
Step-by-step explanation:
We are given: [tex]\frac{3+2i}{1-5i}[/tex]. To find the quotient, simplify it. To do that, multiply by the conjugate of the denominator.
The conjugate of [tex]1-5i[/tex] is [tex]1+5i.[/tex]\
Thus, we have:
[tex]\frac{3+2i}{1-5i} \cdot\frac{1+5i}{1+5i} =\frac{3+15i+2i+10i^2}{1-25i^2}[/tex]
Recall that [tex]i^2[/tex] is simply -1.
Thus, we have:
[tex]\frac{3+17i-10}{1-(-25)}=\frac{-7+17i}{26}[/tex]
We can split this:
[tex]-\frac{7}{26}+\frac{17}{26}i[/tex]
In 1995 the usps approximated that they handled 1.8 x 10 pieces of mail. In 2010 the USPS reported that they handled 1.7 x 10 pieces how many more pieces of mail were handled in 1995 than in 2010
Answer:
1 piece of UPS
Step-by-step explanation:
Here, we want to know the difference in the number of pieces handled at the different times
In 1995, amount handled = 1.8 * 10 = 18 pieces
In 2000, amount handled = 1.7 * 10 = 17 pieces
The difference between what was handled in the year 2010 and what was handled in 1995 is 18 -17 = 1
Use the given diagram to help answer the question. 2 right triangles share a side. Each triangle has a side length of 3 feet and hypotenuse of 5 feet. Sam found a tent in his garage, and he needs to find the center height. The sides are both 5 feet long, and the bottom is 6 feet wide. What is the center height of Sam’s tent, to the nearest tenth? 3 feet 4 feet 5.5 feet 7.8 feet
Answer:
4 feet
Step-by-step explanation:
Use pythagorean theorem to solve the center height of Sam’s tent.
The center height of the triangle or Sam's tent is given by AB = 4 feet
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Now , the base of the triangle is BC = 3 feet
The hypotenuse of the triangle is AC = 5 feet
And , the triangles share a common height
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
So , the height of the triangle AB = √ ( AC )² - ( BC )²
On simplifying , we get
The height of the triangle AB = √ ( 25 ) - ( 9 )
The height of the triangle AB = √16
The height of the triangle AB = 4 feet
Hence , the height of the triangle is 4 feet
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PLEASE HELP WITH BOTH PARTS!!!!!!!! WILL BE MARKED BRAINLIEST!
Answer:
Part A ) Option A, Option C, Option E
Part B ) 1200 cm^2
Step-by-step explanation:
The area of a kite can be identified through 1 / 2 of the multiplication of each diagonal. The first diagonal is equivalent to the addition of 50 cm and 10 cm, while the second is of length 20 cm + 20 cm.
[tex]1 / 2 * ( 50 + 10 ) * ( 20 + 20 ),\\1 / 2 * ( 60 ) * ( 40 ),\\( 30 ) * ( 40 ),\\\\Area of Kite = 1200 square cm[/tex]
Consider the first option. If we take a look at the bit 2 * ( 1 / 2 * 20 * 50 ) the 2 and 1 /2 cancel each other out, leaving you with 20 * 50 = 1000 . Respectively in the expression 2 * ( 1 / 2 * 20 * 10 ) the 2 and 1 / 2 cancel each other out, leaving you with 20 * 10 = 200;
[tex]1000 + 200 = 1200 square cm,\\Option A - Correct![/tex]
The second option considers the expression 2 * ( 1 / 2 * 20 * 60 ). Again, the 2 and 1 / 2 cancel each other out, leaving you with 20 * 60;
[tex]20 * 60 = 1200 square cm,\\Option B - Correct![/tex]
Option C is a similar version of option a, besides the fact that the 1 / 2 doesn't exist. Thus, Option C is incorrect!
Option D is a similar version of option a as well, but as the 2 doesn't exist, it is incorrect!
This last option, option E is taken as 1 / 2 of the multiplication of the diagonals, and thus is correct!
[tex]1 / 2 * ( 40 * 60 ),\\1 / 2 * ( 2400 ),\\1200 square cm\\\\Correct![/tex]
Hope that helps!
Soraya earned $40 in October. She earned $50 in November. What is the percent increase or decrease in Soraya's monthly earnings?
Answer:
25% increase
Step-by-step explanation:
Apex
The percent increase in Soraya's monthly earnings is 2.5%
What is Percent Increase?Increase expressed as a percentage is referred to as a percentage increase. When comparing growth in a quantity through time, from its beginning value to its ultimate value, the percentage increase formula is utilised.
Given:
Soraya earned $40 in October.
She earned $50 in November.
Change in amount= 50- 40= $10
So, percent increase = 10/ 40 x 100
= 2.5%
Hence, the percent increase is 2.5%
Learn more about percent increase here:
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What is the approximate area of a circle show below?
The answer of this is C: 43
Answer:
C)43ft
Step-by-step explanation:
Area= pi*r(squared)
Pi*3.7(squared)=43.00
So answer=43pi(squared)
HELP Which of the following is the range of the function based on the input-output table below?
Answer:
The correct answer is :
Range is: {1000,1100,1200,1300,1400,1500,1600}
Step-by-step explanation:
We are given here input-output table.
Let us define the domain and range of a function.
Domain is the set of values that can be given as input to the function.
and
Range is the set of values that comes out as the output of the function.
For example:
[tex]y = f(x) = 2x[/tex]
The domain of the function above is the set of values of x.
The range of function is the value of y or f(x).
For above example, range can be set of all Real numbers i.e. R.
Range for the above example will also be set of all Real numbers i.e. R.
From the given table in the question statement:
Input or Domain = {10,20,30,40,50,60,70}
Output or Range = {1000,1100,1200,1300,1400,1500,1600}
Help!!!!!!……………………………………………
Answer:
Step-by-step explanation:
The answer is d)
y= 0.0018(x-105)^2 +7
Use the function below to find
Answer:
f(x) =1/3 × 4^x
f(4) = 1/3 × 4⁴
= 1/3 × 256
= 256/3
Hope this helps
What is the largest integer $n$ such that $7^n$ divides $1000!$ ?
Answer:
The correct answer is
n = 3038
Step-by-step explanation:
Where we have;
We note that 1000! = An even number
Since Even × Even = even
Even × Odd = Even
Also, 7ⁿ is an Odd number since odd × odd = odd
Therefore 7ⁿ will divide 1000! with some fractions as follows;
1000! divided by 7ⁿ
When 7ⁿ = 1000!
log(7ⁿ) = log(1000!) = log(4.02×10²⁵⁶⁷)
n·log(7) = 2567.604
n = 2567.604/(log(7)) = 3038.23
Therefore, the largest integer n such that 7ⁿ divides 1000! = 3038
Which gives, 1000! ÷ 7³⁰³⁸ = 1.5733.
What inequality represents this graph?
Answer:
y ≤ 3
Step-by-step explanation:
All values will work all the way up to 3 (including 3). However, no solution would work after the value 3. So, your inequality would be y ≤ 3.
Answer:
y ≤ 3
Step-by-step explanation:
all y values lower than or equal to 3 are part of the shaded area.
anyone get this ? (geometry)
Evaluate: 6+ 4/4 + 3/3
Answer:
8
Step-by-step explanation:
4/4=1
3/3=1
1+1+6=8
Select all ratios that are in their simplest form. A 9:7 B 14:3 C 12:21 D 30:29 E 28:30
Answer:
Step-by-step explanation:
9/7, 14/3, 4/7, 30/29, 14/15
If $500 is shared in the ratio 2:3:9 then the difference between the largest and the smallest shares is
Answer:
$250
Step-by-step explanation:
Total parts:
2+3+9 = 14
500/14 = 250/7
2×250/7 : 3×250/7 : 9×250/7
500/7 : 750/7 : 2250/7
The largest share is 2250/7, the smallest share is 500/7.
Find the difference.
2250/7 - 500/7 = 250
Answer:
$250
Step-by-step explanation:
2x+3x+9x= $500
9x-2x= 7x=?
14x= $500
7x= $500/2= $250
Which expression below gives the average rate of change of the function g(x) = -x^2 - 4x on the interval 6 ≤ x ≤ 8 ?
Answer:
1st Option
Step-by-step explanation:
Average rate of change formula: [tex]\frac{f(a) - f(b)}{a-b}[/tex]
Simply plug in 8 as a and 6 as b.
Answer:
A.
Step-by-step explanation:
Δy /Δx = (y2 - y1)/(x2 - x1) = [g(x2) - g(x1)]/(x2 - x1)
[g(x2) - g(x1)]/(x2 - x1) =[g(8) - g(6)]/(8 - 6) =[tex]\frac{[-8^{2}-4(8)]-[-6^{2}-4(6)]}{8-6}[/tex]
PLS HELP!!! 10-4*6^3+7
Answer:
-847
Step-by-step explanation:
Using PEMDAS, exponents come first. 6 ^ 3 is equal to 216. Then multiplication arrives.-4 * 216 = -864. Then addition has to be done. -864 + 17 = -847
Answer:
-847
Step-by-step explanation:
10-4*6^3+7
PEMDAS
Parentheses first - there are none
Exponents
10-4*216+7
Multiply and divide from left to right
10-864+7
Add and subtract from left to right
-854 +7
-847
find the zeros of quadratic polynomial X2 - 2x - 8
Answer:
The zeroes of a polynomial is the value of x when the polynomial is set to 0.
We can write x² - 2x - 8 = 0. This factors to (x - 4)(x + 2) = 0 and using Zero Product Property the solutions are x = 4, x = -2.
7.30 x 1.35564873÷547068
Answer:
0.00001808958
Step-by-step explanation:
hope this helps you :)
1 If a rectangular pool is 15 feet long and 8 feet wide and there are 20 people in the pool; what is the density of people in the pool?
1.3 people per square foot.
2.5 people per square foot.
06 people per square foot.
.17 people per square foot.
Answer:
0.17 people / sq ft
Step-by-step explanation:
1 If a rectangular pool is 15 feet long and 8 feet wide and there are 20 people in the pool; what is the density of people in the pool?
1.3 people per square foot.
2.5 people per square foot.
06 people per square foot.
.17 people per square foot.
Density of people in pool is number of people per square foot.
area = length * width = 15 ft * 8 ft = 120 ft^2
density = people/sq ft = 20 people / 120 sq ft = 0.17 people / sq ft
Answer:
0.17 people / sq ft
Step-by-step explanation:
please help me with this question....
Answer:
107
Step-by-step explanation:
Median is the middle most no.
=> Here, Median are two numbers, 106 and 108 So, we'll find the mean of it to get the median
=> Median = [tex]\frac{106+108}{2}[/tex]
=> Median = 107
What are the roots of the quadratic equation below 3x2+15x-5=0
Answer:
AStep-by-step explanation:
[tex]3x^2+15x-5=0\\a = 3\\b = 15\\c = -5\\ x = -b\±\frac{\sqrt{b^{2} -4ac} }{2a} \\x = -(15)\±\frac{\sqrt{15^{2} -4(3)(-5)} }{2(3)} \\x = -15 \±\frac{\sqrt{225+60} }{6} \\x = -15\±\frac{\sqrt{285} }{6} = A[/tex]
Help idk how to do this
Answer: 58°
Step-by-step explanation:
They say the triangles are equal. And they give us more information for the triangle on the right.
∠E = ∠B
We know ∠C and ∠D, so you should add them all up to equal 180. (degree of a triangle)
74 + 48 + ∠E = 180
122 + ∠E = 180
∠E = 58
So therefore ∠B = 58
Answer:
x = 29
Step-by-step explanation:
Focus on ΔDEC first. We know that two of its angles are ∠C = 48° and ∠D = 74°.
All of a triangle's angles must add up to 180° by the Triangle Sum Theorem. 48° + 74° = 122°. 180° - 122° is 58°. So ∠E is 58°.
Because the triangles are congruent, ∠E corresponds to ∠B.
Because ∠B is "2x," divide 58° by 2. 58° ÷ 2 = 29°. 29° × 2 = 58°, so this checks out.
I hope this helps!!
I don’t understand how to do this
Answer:
1) 2
2) 1
Step-by-step explanation:
1) According to the law of exponents, [tex]x^0 = 1[/tex]
= [tex]2 (\frac{3}{5} )^0[/tex]
=2(1)
= 2
2) [tex](-7)^0[/tex]
= 1
Divide up the number 480 in a 3:5 ratio.
Step-by-step explanation:
Hers your answer friend
Answer:
180 and 300
Step-by-step explanation:
We want to divide up the number 480 in a 3:5 ratio.
=> We should turn 480 into 3+5=8 portions, each portion is 480/8 = 60.
=> 480 could be divided into 2 smaller numbers that satisfy 3:5 ratio:
60x3=180 and 60x5 = 300.
Check:
180:300 ratio <=> 3:5 ratio (valid)
Hope this helps!
Mark wants to invest 10,000 in a cd for at least 10 years the first choice is a cd that pays 4% annually and uses simple interest what is the total value after 10 years
Answer: 14000
Step-by-step explanation:
From the question, the first thing is to first calculate the simple interest (S.I). This will be:
S.I = (principal × rate × time)/100
where principal = 10,000
rate = 4%
time = 10 years
Simple interest = (10,000 × 4 × 10)/100
= 400000/100
= 4000
The total value after 10 years will be th addition of the amount invested and the interest. This will be:
= 10,000 + 4000
= 14000
In the problem RSM × RS × R=2030 each letter stands for a different digit. Find the 3-digit number RSM. Please answer soon!
Answer:
145
Step-by-step explanation:
Answer: R S M = 145
It seems that someone already gave the correct answer for this, but I'll add an explanation in case you're curious!
1. So, we can write it out as:
R S M
R S (make sure you don't simplify it
x R as R^3*S^2*M, as each letter here
---------- stands for an individual digit in a number)
2030
2. The only possible value of R is 1, because any other value would be too big. (For example, 213*21*2=8946), for the sake of simplicity so let's write it as:
R S M
x R S
----------
2030
3. Notice how the last digit in 2030 is 0? That means either M or S =5.
5*2 has a last digit of 0, so let's try that out. Let's sub it in to get 125*12=1500. That's too small, so let's try again.
5*4 also has a last digit of 0. Let's plug that in: 145*14=2030. Yay!
4. In conclusion, RSM*RS*R --- > 145*14*1=2030, so RSM = 145
Hope this helped you :)