Step-by-step explanation:
Pythagoras :
c² = a² + b²
c is the Hypotenuse (side opposite of the right angle), which is in our case the distance of the 2 cars.
after 2 hours the east car was driving x miles. and the south car was driving x + 2×25 = x + 50 miles.
x² + (x + 50)² = 250²
x² + x² + 100x + 2,500 = 62,500
2x² + 100x = 60,000
x² + 50x = 30,000
x² + 50x - 30,000 = 0
the solution for a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 50
c = -30,000
x = (-50 ± sqrt(2500 - 4×1×-30000))/(2×1) =
= (-50 ± sqrt(2500 + 120000)/2 =
= (-50 ± sqrt(122500))/2 = (-50 ± 350)/2 =
= -25 ± 175
x1 = -25 + 175 = 150 miles
x2 = -25 - 175 = -200 miles.
negative distances don't make any sense here in our scenario, so the solution is x = 150 miles.
therefore, the east car was going 75 mph (traveled in 2 hours 150 miles).
and the south car was going 75 + 25 = 100 mph (traveled in 2 hours 200 miles).
6m+7n+5m−3n simpified
Answer:
11m + 4n
Step-by-step explanation:
when two numbers with the same variable are added together or subtracted the result is just the numbers added or subtracted. So you can add 6m and 5m to get 11m. and you can subtract 3n from 7n to get 4n
11m + 4n
Find all the numbers for each shape
Answer:
1 = pentagon2 = diamond3 = square5 = circle6 = rectangle7 = oval8 = triangle9 = hexagon10 = trapezoidStep-by-step explanation:
Each half of a hanger divides the total weight in half. The right-most vertical has a total weight of 80/16 = 5. It consists of a square and a diamond, and we know the square is 1 more than the diamond. That means 2 diamonds weigh 5 -1 = 4. A diamond weighs 2, and a square weighs 3. The other half of that balance is a circle, which weighs 5.
The total of a square and oval is 10, so the oval is 10 -3 = 7. The two trapezoids weigh 20, so each is 10.
The second vertical from the left is a circle and diamond which will weigh 5+2 = 7. That makes the sum of a pentagon and rectangle also be 7. The 7+7 = 14 below the square on the left branch makes the total of that branch be 14+3 = 17, which is also the sum of the triangle and hexagon.
The weight below the rectangle at top left is 17+17 = 34, and the weight of that entire branch is 40. Thus the rectangle is 40-34 = 6, which makes the pentagon 7-6 = 1.
We require the sum of the triangle and hexagon be 17, with the triangle being the smaller value, and both being 9 or less (the trapezoid is the only figure weighing more than 9). Hence the triangle is 8 and the hexagon is 9.
The weights are summarized in the answer section, above.
What is the Area of semicircle?
Step-by-step explanation:
Area of Semi Circle
The area of a semicircle is half of the area of the circle. As the area of a circle is πr2. So, the area of a semicircle is 1/2(πr2 ), where r is the radius.
Marlee had a certain amount of money (x) in her bank
account. She deposited $60.00 from her grandmother
for her birthday. She then spent of the money in her account on rent that totaled $550. Which equation represents this situation?
Answer:
x-490=t
Step-by-step explanation:
Marlee has x money
She deposited $60 meaning adding $60 to the bank
So x+60
THen Marlee need to withdraw $550 from her bank to rent
So the equation is now
x+60-550
60-550 is -490
Thus:
x-490
(I will represent (t) as the money she has left for the equation)
Thus the equation is
x-490=t
Hope this helps!
help me solve this please
Answer:
[tex] \sqrt{8} [/tex]
Step-by-step explanation:
an
irrational number can only be written in the form with never ending,non-repeatinng digits after the decimal comma
Have students write the answer to the Essential Question and draw examples to explain their answer
Qui est grand 0 ou -2,5
Answer:
0
Step-by-step explanation:
positive numbers are always bigger than negative numbers
what is 5 over 4 in math
Answer:
An improper fraction
Step-by-step explanation:
In improper fraction is when the numerator (top number) is greater than or equal to the denominator (bottom number)
PLEASE HELP ASAP! I WILL MARK YOU BRAINLIEST.
Answer two questions about Equations A and B
A. 2x-1=5x
B.-1=3x
1)How can we get Equation B from Equation A?
Choose 1 answer:
A. Add/subtract the same quantity to/from both sides
B. Add/subtract a quantity to/from only one side
C. Rewrite one side (or both) by combining like terms
D. Rewrite one side (or both) using the distributive property
2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
A. Yes
B. No
Answer:
2x-1=5x
-1=3x
1.A. we take away 2x from both sides
2.A they are the same sine they both have the same solution of -1/3
Hope This Helps!!!
Answer:
Rewrite one side by combining like terms A yes the equations are equivalent meaning they have the same solution
Step-by-step explanation:
Hope this helped
9x-5y=2
3x-4y=10
can anyone please explain how the answer of this question is:
x=-4
y=-2
Answer:
9x-5y=2======>9x-5y=2===>(+)7y=-28=>y=-4=>(1)3x-4(-4)=10=>x+16=20=>x=4
3x-4y=10(1)=>(×-3)-9x+12y=-30=>(+)
76 is 0.4% of what number? Use pencil and paper. Would you expect the answer to be a lot less than 76. Slightly less than 76, slight greater than 76, or a lot greater than 76? Explain.
Answer:
Step-by-step explanation:
It's a lot greater. If you take 0.4% of some number and the answer is 76, you better be starting with something that is very large. The formula will make the solution automatic.
Formula
Let the number be x
0.4% x = 76
0.4% = 0.4/100
0.4 / 100 * x = 76 Multiply both sides of the equation by 100
0.4x = 76*100 Combine the right.
0.4x = 7600 Divide by 0.4
x = 7600/0.4
x = 19000 Which is quite a bit larger than 76
Answer:
greater than 76
Step-by-step explanation:
hope it will help goodbye
Martin measure the length of his window he measures 26 inches the actual of the window was 25 inches what percent of this an era is this
Answer:
4% maybe
Step-by-step explanation:
Very important question ☺️
Answer:
130⁰
Step-by-step explanation:
Let,
<Q = x
<R = y
So,
In ∆PQR
2x + 2y + 80 = 180(Sum of all angle in a triangle is 180⁰)
2(x + y) = 180 - 80
2(x + y) = 100
x + y = 100/2
x + y = 50
Now,
In ∆QOR
x + y + QOR = 180(Sum of all angle in a triangle is 180⁰)
50 + QOR = 180
QOR = 180 - 50
QOR = 130⁰
On Monday Tiffany spent 5 2/8 hours studying. On Tuesday she spent another 2 1/8 hours studying. What is the combined length of time she spent studying
Answer:
7 3/8 hours
Step-by-step explanation:
5 + 2 = 7
2/8 + 1/8 = 3/8
Therefore, 7 + 3/8 =
7 3/8 hours
how to find the length of a triangle with angles
Answer:
1. The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , is used to find the length of any side of a right triangle.
2. In a right triangle, one of the angles has a value of 90 degrees.
3. The longest side of a right triangle is called the hypotenuse, and it is the side that is opposite the 90 degree angle.
Step-by-step explanation:
Will give brainly,5 stars,and thank if it CORRECTLY
Answer:
$31.68
Step-by-step explanation:
1.4 x 9.15 = $12.81
0.8 x 10.75 = $8.60
2.6 x 3.95 = $10.27
12.81 + 8.60 + 10.27 = $31.68
Solve by using the quadratic formula. (If there is no solution, enter NO SOLUTION.)
1/7x^2+1=3/7x
smaller value of x =
larger value of x=
[tex]\dfrac 17 x^2 + 1 = \dfrac 37 x\\\\\implies x^2 +7 =3x~~~;[\text{Multiply both sides by 7}]\\\\\implies x^2 -3x +7 =0\\\\\text{Apply quadratic formula}~ x = \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}.\\\\\text{In this case ,}~ a =1, b= -3 , c =7\\\\x = \dfrac{-(-3) \pm \sqrt{(-3)^2 - 4(1)(7}}{2(1)}\\\\\implies x= \dfrac{3 \pm \sqrt{-19}}{2}\\\\\implies x =\dfrac{ 3 \pm i\sqrt{19}}2\\\\\\\text{Smaller value of x } =\dfrac{ 3 -i\sqrt{19}}2\\\\\text{Larger value of x } =\dfrac{ 3 +i\sqrt{19}}2[/tex]
please help 31 pts and brainlist if you give me a step by step explanation on how to do this
Answer: Hence, by ASA ( Angle side Angle) Rule of congruency two triangles;
Angle ADE = CDF Hence proved.
Step-by-step explanation:Diagram of two triangles are given such that side ED = FD and <AED = < CFD = 90
To Find: TO prove <ADE = <CDF
Solution; In figure ; we can see that <EDA and <FDC are vertically opposite angles and hence are equal.
=> <EDA = <FDC |Vertically opposite angles
<DEA = <CFD = 90 |Given
Also, ED = FD |Given
Hence, by ASA (Angle Side Angle)
Rule of congruency two triangles; <ADE = <CDF
Hence Proved.
someone help pleaseee
Answer:
(x+1)x(x+7)x(3x-4)
Step-by-step explanation:
4. Find the solution for each equation:
x + 4 = 16
Answer:
[tex]x=12[/tex]
Step-by-step explanation:
when solving and equation with a variable, you must work backwards and do the opposite of the equation
sooo… you must subtract 4 (opposite of +4 is -4)
[tex]16-4=2[/tex]
x=12
Answer:
12 easy
Step-by-step explanation:
4 +12 =16 it's easy
Please help me with the following question:
Answer:
the answer to this problem is D: 180 + w-z
will give brainlyist
What is the quotient of 1 and 7 over 8 ÷ 3 over 8?
Answer:
5
Step-by-step explanation:
[tex]1\frac{7}{8}\div\frac{3}{8}[/tex]
[tex]=\frac{15}{8}\div \frac{3}{8}[/tex]
[tex]=\frac{15\times \:8}{8\times \:3}[/tex]
[tex]=\frac{15}{3}[/tex]
[tex]=5[/tex]
The quotient is 5.
[tex]\large\underline{\sf{Solution-}}[/tex]
[tex]\textsf{Given that:}\\[/tex]
[tex] \sf1 \dfrac{7}{8} \div \dfrac{3}{8} \\ [/tex]
[tex] \sf \longmapsto \: \dfrac{7 \times 8}{8} \div \frac{3}{8} \\ [/tex]
[tex] \sf \longmapsto \: \dfrac{15}{8} \div \dfrac{3}{8} \\ [/tex]
[tex] \sf \longmapsto \: \dfrac{ \dfrac{15}{8} }{ \dfrac{3}{8} } \\ [/tex]
[tex] \sf \longmapsto \: \dfrac{ \dfrac{15}{8} \times \frac{8}{3} }{ \dfrac{ \cancel \green3}{ \cancel \red8} \times \frac{ \cancel \red8}{ \cancel \green3} } \\ [/tex]
[tex]\sf \longmapsto \dfrac{ \dfrac{15}{8} \times \frac{8}{3} }{1} \\ [/tex]
[tex]\sf \longmapsto \: \dfrac{15}{ \cancel \red8} \times \dfrac{ \cancel \red8}{3} \\ [/tex]
[tex]\sf \longmapsto \: \dfrac{15}{3} \\ [/tex]
[tex]\sf\longmapsto \:\dfrac{15÷3}{3÷3}\\[/tex]
[tex]\sf\longmapsto \:\dfrac{5}{1}\\[/tex]
[tex]\sf\longmapsto \:\boxed{5} \: Answer.\\[/tex]
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Find the value of x, y and z in the rhombus below
Answer:
... ................................
Can a right angle be formed by acute angles?
Answer:
Yes, 2 or more acute angles can be in a right angle based on the degree.
Step-by-step explanation:
A right angle is 90 degrees so any acute angle would be less than 90 degrees which means that there can be multiple acute angles based on the degrees. There can be 2 or more acute angles based on degrees that lead up to 90 degrees in total.
A researcher is comparing the effectiveness of three devices designed to help people who snore. There are 210 people who snore participating in the experiment. Using a table of random digits starting from the first row and column, the researcher will randomly place the participants into three equally sized treatment groups suitable for comparison.
Which number range would be needed to label the subjects correctly?
0–2
1–3
000–210
001–210
The range would be needed to label the subjects correctly is 000-210.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that a researcher is comparing the effectiveness of three devices.
There are 210 people who snore participating in the experiment
The researcher will randomly place the participants into three equally sized treatment groups suitable for comparison.
We need to find the range which would be needed to label the subjects correctly.
210 people are participating in experiment
We need to label subjects from 001 to 210
Since there is no value in using 000 to indicate someone.
Hence, 000–210 is the range would be needed to label the subjects correctly.
To learn more on Statistics click:
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what does 1/4 divided by 1/10 equal
Answer: 2/5
Step-by-step explanation: hope it helps
mooooooooo 4/9-4/10 =
Answer:
0.04444444444
Step-by-step explanation:
[tex]\\ \rm\rightarrowtail 4/9-4/10[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{40-36}{90}[/tex]
[tex]\\ \rm\rightarrowtail 4/90[/tex]
[tex]\\ \rm\rightarrowtail 2/45[/tex]
if ab =8 and a square + bsquare =35 then (a-b) cube
[tex]\text{Given that,}\\\\ab = 8 ~ \text{and}~ a^2 +b^2 = 35\\\\\text{Now,}\\\\(a-b)^2 = a^2 +b^2 -2ab\\\\\implies (a-b)^2 =35 - 2 (8) \\\\\implies (a-b)^2 = 19\\\\\implies a-b = \pm\sqrt{19}\\\\\text{Case 1:}\\\\(a-b)^3 = (a-b)^2(a-b)\\\\\implies (a-b)^3 = 19 \left(\sqrt{19}\right)\\\\\text{Case 2:}\\\\(a-b)^3 = (a-b)^2(a-b)\\\\\implies (a-b)^3 = -19 \left(\sqrt{19}\right)[/tex]
16
Which equation has a graph of a vertical line?
Answer:
3rd option
Step-by-step explanation:
The equation of a vertical line parallel to the y- axis is
x = c
where c is the value of the x- coordinates the line passes through
The only equation in this form is option 3
3x - 2 = 0 , as
3x = 2 and
x = [tex]\frac{2}{3}[/tex] ← equation of vertical line
answer for this question plz
Step-by-step explanation:
in that case we can imagine a diagonal line DB that splits the quadrilateral into 2 right-angled triangles: ADB and CDB.
the area of the quadrilateral is then the sum of the areas of the 2 triangles.
the area of a right-angled triangle is
leg1 × leg2 / 2
with the legs being the sides that enclose the 90 degree angle.
so, for ADB we get
AD × AB / 2 = 3 × 11 / 2 = 33/2 = 16.5
for CDB we get
BC × CD / 2 = 7 × 9 / 2 = 63/2 = 31.5
so, in total for the area of the quadrilateral we get
16.5 + 31.5 = 48