Bert looks around at an assembly. He notices his younger sister to his right and his older
brother 3 meters ahead of him. If Bert's brother and sister are 5 meters apart, how far apart
are Bert and his younger sister?
meters
Answers
Step-by-step explanation:
From how Bert, his sister and older brother are standing, they form a triangle. Since we are not told anything else we can assume they form a right angled triangle. Use theorem of pythagoras to get the missing side.
Bert and his sister are 4 meters apart.
Related Questions
Strawberries are on sale 3 boxes for $6.99. How much does 1 box cost?
Answers
Answer:
$2.33
Step-by-step explanation:
6.99/3 = 2.33
Divide cost of 3 boxes by 3:
6.99/3 = 2.33
1 box cost $2.33
How many equilateral triangles are there in a regular hexagon.
Answers
There are total 6
Look at the attachment for proof
If we join all three diagonals we get 6 equilateral triangle
Answer:
There are 6 equilateral triangles in a regular hexagon.
Step-by-step explanation:
A regular hexagon can be dissected into 6 equilateral triangles by adding a center point .
8/15 as a decimal rounded to the nearest hundreth
Answers
Answer:
0.53
Step-by-step explanation:
A fraction bar can also mean division. So 8/15 the fraction also means 8÷15.
8÷15 = 0.5333333...
Rounding to the nearest hundredth means there should be only two numbers to the right of the decimal point.
8/15 ~= 0.53
can someone help me with this question
Answers
b is a answer
Step-by-step explanation:
formula
=a+b/2×h
Answer: 126 mm^2.
Step-by-step explanation: When finding the area of a trapezoid, you need to add two bases, multiply the height, and divide it all in half. The steps are done below:
First, we need to find the bases and the height. The bases are are circled below, but it's basically the top and bottom lengths of the triangle. Base 1 doesn't have to be 10 either, it can be 18 base 2 can be 10, whichever works for you. All you need is to assign each base with a top or bottom length. The height is how tall the trapezoid is, which is also circled below.Secondly, we need to add the bases and multiply the height. B1 is base 1, b2 is base 2, and h is the height. It should look like this: 10 (b1) + 18(b2) = 28, then 28 x 9(h) = 252.Lastly, we need to divide 252 in half, which you can do in two ways. You can either simply divide 252 by 2, or multiply 252 by 1/2, which both give you the answer 126 mm^2, which is your answer.Have a great day! :)
What is the domain of the function y = √√x+6-7?
x>_-7
x>_-6
x>_6
x>_7
Answers
the domain is
[tex]x \geqslant - 6[/tex]
Choose the phrase that correctly completes this sentence.
Taking out a loan is like ____________________.
Answers
solve this nonlinear system of equations.
y=-x^2+6x-5
y=3
step 1: use substitution to combine the equations. Rewrite so that one side is equal to zero.
step 2: factor the equation
step 3: identify the x-values of the solutions.
step 4: identify the solutions to the system.
Answers
Answer:
1. [tex]x^2-6x+8=0[/tex]
2. [tex](x-4)(x-2)=0[/tex]
3. [tex]x=4 \text{ and } x=2[/tex]
4. [tex]x=4 \text{ and } x=2[/tex]
Step-by-step explanation:
1. When using substitution all we do would be is substituse the y for a 3.
This leaves us with the equation:
[tex]3=-x^2+6x-5[/tex]
Rewriting it we get:
[tex]0=-x^2+6x-8[/tex]
or if we shift the 0 to the other side:
[tex]x^2-6x+8=0[/tex]
2. In order to factor the equation we can use the butterfly method:
[tex]\left[\begin{array}{ccc}1&-4\\1&-2\end{array}\right][/tex]
So it factors out to:
[tex](x-4)(x-2)=0[/tex]
You can also use the quadratic formula.
3. To find the solutions we just set each factor to 0
[tex]x-4=0\\\text{and}\\x-2=0[/tex]
So the x-values would be:
[tex]x=4 \text{ and } x=2[/tex]
4. To find the solution to the system we just plug in the values and it turns out to be the same numbers as before.
You are considering the two different car loans.
Using the payment table, which loan has the lowest monthly payment?
Answers
Loan A has the lower monthly payment
=========================================================
Explanation:
Loan A is at a rate of 6.9% over 5 years. The table says that if you borrowed $100 at this interest rate and time period, then the monthly payment would be $1.98 per month.
However, you are borrowing $17,601 which is 176.01 times greater than 100 since (17601)/(100) = 176.01
So 1.98*176.01 = 348.4998 = 348.50 is the monthly payment of loan A.
------------------
Meanwhile, loan B has an interest rate of 8.9% and lasts for 3 years. Use the table to see that borrowing $100 at this rate and time means the monthly payment is $3.18
The multiplier this time is 162.90 because (16290)/(100) = 162.90
Therefore, 162.90*3.18 = 518.022 = 518.02 is the monthly payment of loan B.
--------------------
To summarize, we have these monthly payments
loan A monthly payment = $348.50loan B monthly payment = $518.02Loan A has the lower monthly payment
help please i been stuck on this question for the last hour im on the verge of tears
Answers
(You should take the full screenshot)
Since no percentages were provided (at least not in the ss), we have to approximate?
The space that parrots and sparrows take up is almost half the circle (we'll say 48-49%)
So, we can convert that to fraction : 48/100 or 49/100
There is 1/2 of the birds seen were either parrots or sparrows.
What is Rational number?A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.
Given that;
Figure shows the birds seen.
Now, We have;
By figure the half of circle is shown either parrots or sparrows.
Hence, The value of fraction of the birds seen were either parrots or sparrows is,
⇒ 1/2 of 100%
⇒ 1/2 × 100/100
⇒ 1/2
Therefore, The value of fraction of the birds seen were either parrots or sparrows is, 1/2
Learn more about the rational numbers visit:
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May you help me please I am stressed and struggling
Answers
Answer:
2x+4+3x+4
5x+8
2(2x+4)+x
Step-by-step explanation:
• 2x+4+3x+4 would be equal to 5x+8
because you will group like terms: 2x+ 3x=5x and 4+4=
• 2(2x+4)+x
multiple what's outside the bracket by what's inside .
4x+8+x
4x+x =5x and 8
sooo 5x+ 8
Hope this helps
Given a normal distribution with a mean of 28 and a standard deviation of 2.5, what percentage of the data should be between 25.5 and 30.5?
Answers
Using the Empirical Rule, it is found that 68% of the data should be between 25.5 and 30.5.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.In this problem, we have that:
28 - 2.5 = 25.5.28 + 2.5 = 30.5.Within one standard deviation of the mean, hence, 68% of the data should be between 25.5 and 30.5.
More can be learned about the Empirical Rule at https://brainly.com/question/24537145
GRADE 9 maths! due tonight please help!!
Answers
Answer:
Step-by-step explanation:
Select all the expressions that are equivalent to 4 ^ - 3
Answers
Answer:
B. 2^-6
C. 1/4³
D. (1/4) (1/4) (1/4)
Step-by-step explanation:
4^-3 is the same as 1/4³ so it is equivalent
46-3 = 1/64 so (1/4) (1/4) (1/4) is equivalent because it also equals 1/64
2^-6 is the same as 1/2^6 which equals 1/64 so it is also equivalent
B, C, and D are your answers
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
Which of the following statements is no True?
A) the square root of 112 is between 10 and 11
B) the square root of 180 is between 13 and 14
C) the square root of 12 is between 4 and 5
D) the square root of 5 is between 2 and 3
Answers
Answer:
correct answer is A. because the square root of 122 is 11.06 which means its between 11 and 12, not 10 and 11
Step-by-step explanation:
help me plsssssssssss
Answers
Answer:
Sin 21 = p/b
0.358 = 5.5 / x
x = 5.5 / 0.358
therefore , x = 6.97
Step-by-step explanation:
Use sin formula
which is perpendicular/ base
just put the value
Will give 30 points to who answers!
Answers
sqrt(5x15)/(3x15)=sqrt75/45
sqrt75=sqrt25 x sqrt3= 5sqrt3
5sqrt3/45
=sqrt3/9
Which expressions are equivalent to 4^-2 x 7^-2
Answers
Answer:
[tex]\frac{1}{784}[/tex]
Step-by-step explanation:
4⁻² * 7⁻²
Use the Negative Exponent Property: x⁻ⁿ = [tex]\frac{1}{x^n}[/tex]
[tex]4^{-2}*7^{-2}\\\\ \frac{1}{4^2}*\frac{1}{7^2}\\\\ \frac{1}{16}*\frac{1}{49}\\\\ \frac{1}{784}[/tex]
Hope this helps!
help me please thank you soo much
Answers
The ordered numbers from least to greatest are 33/100 = 0.33, 4/10 = 0.4, 5/10 = 0.5, 6/100 = 0.06, 3/4 = 0.75.
How do you convert fractions to decimals?Divide the top number or numerator into the bottom number or denominator.
6/100 = 0.065/10 = 0.54/10 = 0.43/4 = 0.7533/100= 0.33How to organize the numbers?When organizing decimal numbers you need to follow the same rules than when organizing regular numbers. For example, 0.5 is greater than 0.4 because 5 is greatest than 4.
Based on this, the correct order is:
33/100 = 0.334/10 = 0.45/10 = 0.56/100 = 0.063/4 = 0.75Learn more about numbers in: https://brainly.com/question/17429689
The volume of this right trapezoidal prism is 341.25 ft³.
What is the height, x, of the prism?
Enter your answer as a decimal in the box.
Answers
Answer:10.5
Step-by-step explanation: I hope this helps
The height, x, of the right trapezoidal prism is 10.5 ft.
Given that, the volume of this right trapezoidal prism is 341.25 ft³.
We need to find the height x, of the prism.
What is the formula to find the volume of this right trapezoidal prism?The formula to find the volume of this right trapezoidal prism is Volume=BH.
Where B=Area of the Base and H=Height.
Area of the Base(Trapezium)=1/2(a+b)×h
Where a and b are parallel sides of the trapezium and h= height of the trapezium.
Now, the area of the Base=1/2(8+5)×5=32.5 ft²
The volume of the right trapezoidal prism=32.5×x
⇒341.25=32.5×H
⇒x=10.5 ft
Therefore, the height, x, of the right trapezoidal prism is 10.5 ft.
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A brand new vehicle costs $25,399. It decreases in value by 8.5% each year after its purchase.
Which function models the value of the vehicle in dollars x years after its purchase?
f(x)=1.085(25,399)x
f(x)=0.915(25,399)x
f(x)=25,399(0.915)x
f(x)=25,399(1.085)x
Answers
The cost after x years is the initial cost minus the amount of decrease after the duration of x years
Percentage DecreaseGiven Data
Initial Cost of vehicle = $25,399Rate of decrease = 8.5%Duration = yearlyLet us find 8.5% of $25,399
= 8.5/100*$25,399
= 0.085*25399
= 2158.915
Cost after x years will be
Final cost = 25,399 - 2158.915*x
Learn more about percent decrease here:
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drake uses 9/4 cups of sugar to make 9 mugs of brownies how much sugar is required to make one brownie
Answers
Answer:
1/4 cup
Step-by-step explanation:
9/4 / 9 =
9/4 *1/9 the nines cancel out to leave
1/4
The problem is the screenshot
Answers
Answer: 0 5 10
Step-by-step explanation:
y = 5(0)
y = 0
y = 5(1)
y = 5
y = 5(2)
y = 10
What is the length of a car if the length on the scale madel car is 17 cm and the scale is 2 cm : 50 cm?
Answers
Answer:
x= 425
Step-by-step explanation:
Work out
(
1.8
×
10
−
3
)
÷
(
2
×
10
−
7
)
Give your answer in standard form
Answers
Answer:
1.15
Step-by-step explanation:
(1.8*10-3)/(2*10-7)
(18-3)/(20-7)
15/13
1.15
..................
If the ratio of the rectangular prisms' volumes is 1:8, what is j?
PLEASE HELP WILL MARK BRAINLIST
Answers
J is equal to 24 ____________________________
Which one is equal to 6 x 10^5
A (3 x 10^8) (2 x 10^-2) or B 600,000,000
Answers
Using scientific notation, it is found that the value that is equals to 6 x 10^5 is given by:
A (3 x 10^8) (2 x 10^-3)
What is scientific notation?A number in scientific notation is given by:
[tex]a \times 10^b[/tex]
With the base being [tex]a \in [1, 10)[/tex].
When two numbers are multiplied, we multiply the bases and add the values of the exponents, hence:
[tex](3 \times 10^8) \times (2 \times 10^{-3}) = 6 \times 10^5[/tex]
More can be learned about scientific notation at https://brainly.com/question/16394306
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The graph represents a cubic function. Write the function.
Answers
Zeros are
(0,0)(-3,0)(-4,0)Write in factor form and solve
(x-0)(x-(-3))(x-(-4))=0x(x+3)(x+4)=0x[x(x+4)+3(x+4)]=0x(x²+4x+3x+12)=0x(x²+7x+12)=0x³+7x²+12x=0Points given (-2,16)
Solve for n
n(x³+7x²+12x)=yOn solving we get
n=-4So the function is
y=-4(x³+7x²+12x)y=-4x³-28x²-48xAnswer:
-4x³ - 28x²- 48x
Explanation:
x-intercept: (-4, 0), (-3, 0), (0, 0)→ so equation: a(x+4)(x+3)(x+0)
point given: (-2, 16)→ substitute these points to find a
a(-2+4)(-2+3)(-2) = 16a = -4so the graphed cubic equation:
-4(x+4)(x+3)(x+0)-4x³ -28x²-48xCheck all fractions equivalent to 3⁄9?
Answers
Answer:
I don't see the problem, Where is the image?
If £2000 is placed into a bank account that pays 3% compound interest per year how much will be in the account after two years
Answers
Answer:
£2121.8
Step-by-step explanation:
2000 X 1.03 X 1.03 = 2121.8
You decide to update your bathroom. You are going to put new tile in your shower. Your shower has three rectangular walls that need tiled. One wall is 5 feet wide and 8 feet high. The other two walls are each 4 feet wide and 8 feet high. What is the total area that you will need to tile?
Answers
[tex]\bigstar{\boxed{\pmb{Area\:of\:a\:Rectangle:\:A=LW}}[/tex]
[tex]\sf{A=8*5}[/tex]
[tex]\sf{A=40~ft^2}[/tex]
[tex]\rule{200}{2}[/tex]
[tex]\sf{A=4*8}[/tex]
[tex]\sf{A=32~ft^2}[/tex]
Now, add the areas:-
[tex]\sf{A=40+32+32~(since~there~are~2~walls~with~this~area)}[/tex]
[tex]\sf{A=72+32}[/tex]
[tex]\sf{A=104}[/tex]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)