Answer:
The windowpane is 15 centimeters wide.
Step-by-step explanation:
Use the Pythagorean theorem:
a^2 + b^2 = c^2
20^2 + b^2 = 25^2
400 + b^2 = 625
b^2 = 225
b = 15
Two cars are heading toward the same intersection. Car A travels due east at 20 miles per hour, and Car B travels due north at 50 miles per hour. At what rate, in miles per hour, is the distance between the two cars decreasing when Car A is 0.375 miles from the intersection and Car B is 0.5 miles from the intersection?
Answer:
the distance between them is decreasing at a rate of 2 mph.
Step-by-step explanation:
List all given rates and the unknown rate.
Write the formula that relates the variables in the problem: x, y, and s.
There’s a right triangle in the diagram, so you use the Pythagorean Theorem:
For this problem, x and y are the legs of the right triangle, and s is the hypotenuse, so
Differentiate with respect to t.
Use the Pythagorean Theorem again to solve for s.
x = 0.4
y = 0.3
You can reject the negative answer because s obviously has a positive length. So s = 0.5.
Now you’ve got everything you need to substitute into the differentiation result and solve for ds/dt.
This negative answer means that the distance, s, is decreasing. Thus, when car A is 3 blocks north of the intersection and car B is 4 blocks east of the intersection, the distance between them is decreasing at a rate of 2 mph.
Why did most ancient cultures writ out their mathematical texts in words
Answer:
They had no numeral for zero in their number system.
Without a zero, it is hard to accurately represent real world problems. This makes it easier to use words rather than numbers.
Step-by-step explanation:
make it braintliest please
Xi-ling has a net income that is 5% of her monthly salary of $2,315. Xi-ling would like to keep a net income of $50 and put any additional money towards paying down debt. How much more can Xi-ling put towards paying down debt each month?
a.
$55.75
b.
$65.75
c.
$115.75
d.
$165.75
Answer:
it going be b 65.75
Step-by-step explanation:
just did test
The total amount of money put down by Xi-ling monthly is mathematically given as
y=65.75
What is the total amount of money put down by Xi-ling monthly?Question Parameters:
Xi-ling has a net income that is 5% of her monthly salary of $2,315. Xi-ling would like to keep a net income of $50
Generally, 5% of her monthly salary is mathematically given as
x=0.05*2315
x=115.75
Therefore, if she has a net income equal to 115.75
y=115.75-50
y=65.75
Xi-ling puts y=65.75 towards paying down debt each month.
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What is the correct equation to solve for x ?
x=15.96
x=17.6
x=11.81
x=12.23
Help me on math problem
Answer:
Step-by-step explanation:
The first one
How many times greater is the area circle 1( radius 12) of than the area circle 2( radius 4) of ?
Answer:
The area of circle 1 is 9 times greater than area of circle 2.
Step-by-step explanation:
Given that:
Radius of circle 1 = 12
Area of circle 1 = πr²
Area of circle 1 = [tex]3.14*(12)^2 = 3.14*144[/tex]
Area of circle 1 = 452.16
Radius of circle 2 = 4
Area of circle 2 = [tex]3.14*(4)^2 = 3.14*16[/tex]
Area of circle 2 = 50.24
Let,
x be the number of times circle 1 is bigger than circle 2.
Area circle 1 = x * Area circle 2
[tex]\frac{452.16}{50.24}=\frac{50.24x}{50.24}\\\\x=9[/tex]
Hence,
The area of circle 1 is 9 times greater than area of circle 2.
bet you cant answer this lol
s1 = 20, s1 = 15, s1 = 9, and s1 = 6
Answer:
50
Step-by-step explanation:
help pls due in 5 minutes
Answer:
the answer to this is 7 7/10
Answer:
4th option
Step-by-step explanation:
[tex]5\frac{1}{2}*1 \frac{2}{5}=\frac{11}{2} *\frac{7}{5} =\frac{77}{10}=7\frac{7}{10}[/tex]
Are the ratios 1:2 and 7:20 equivalent?
Answer:no
Step-by-step explanation:
Need help plz ASAP need to fin this assignment
Answer:
<ABC = 51°
Step-by-step explanation:
Given
<A = 2x -15°
<B = x - 5°
< C = 148°
Now
<A + <B = < C ( Exterior angle of a triangle is equal to the sum of two opposite interior angles)
2x -15° + x - 5° = 148°
3x - 20° = 148°
3x = 148° +20°
3x = 168°
x = 168° / 3
X = 56°
Now for Angle B
= 56° - 5°
= 51°
Hope it helps :)
solve the system by substitution y=x-8 y=2x-14
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(6,-2)
Equation Form:
x=6,y=-2
Step-by-step explanation:
The value of x is 6 and y is -2.
What is Substitution Method?The algebraic approach to solving simultaneous linear equations is known as substitution method. The value of one variable from one equation is substituted in the second equation in this procedure, as the name implies.
When a variable (or set of letters) in an algebraic statement is substituted, its numerical value is used instead.
Given:
y=x-8..................(1)
y=2x-14.................(2)
Substitute the value of y from equation (1) to equation (2), we get
x-8 = 2x- 14
2x - x = -8 + 14
x = 6
and, y= x-8
y= 6-8
y= -2.
Hence, the value of x is 6 and y is -2.
Learn more about Substitution Method here:
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Pl help it’s for a grade I will give you Brainly if right
Answer:
2/4
Step-by-step explanation:
what is 2.7 divided by nine?
Answer:
.3
Step-by-step explanation:
2.7 divided by 9 is 0.3
2x + 7 = 19
X=?
Which one is the answer
Answer:
x=6
Step-by-step explanation:
first you subtract 7 and 7 and you also have to subtract 7 and 19 and the answer will be 12 then you divide 2 and 2 to make it only x so if you divide 2 and 2 you also have to divide the 12 so 12 divided by 2 equal 6 so the x is equal to 6
Solve for X
8(x— 4) = –64
X =
Answer:
8(x-4)=-64
8x-32=-64 +32
8x=-32 :8
x=-4
Step-by-step explanation:
prove me wrong
This is some question pizza circles in math
Step-by-step explanation:
Diameter : 10
Radius : 5
Area :
[tex]\pi {r}^{2} = \pi{5}^{2} = 78.54[/tex]
Diameter: 18
Radius : 9
Area :
[tex]\pi {9}^{2} = 254.47[/tex]
Diameter: 11
Radius: 5.5
Area:
[tex]\pi {5.5}^{2} = 95.03[/tex]
Diameter: 12
Radius : 6
Area:
[tex]\pi {6}^{2} = 113.09[/tex]
Stu is riding his bike at a steady pace of 11 miles per hour. Write an equation to model how far he travels on his bike x after riding for 30 minutes.
Answer:
you in jacksonville
Step-by-step explanation:
Can someone help me please
Answer:
| - 16 |
Step-by-step explanation:
The absolute value function always gives a positive value, that is
| - a | = | a | = a
Then
| 6 | = 6
| - 16 | = | 16 | = 16
Thus the largest number from the list is | - 16 |
What are the answers here?
Answer:
Step 1: Subtract 8 to -10 because it is a positive
Step 2: Divide 2r by -18
Step-by-step explanation:
What is the slope-intercept equation of the line whose y-intercept is
8 with slope -5?
Answer:
y = - 5x + 8
Step-by-step explanation:
Given that :
Intercept = 8
Slope = - 5
Recall, the general. Slope - intercept equation :
y = bx + c
Where;
b = slope ; c = intercept
Plugging the Given slope and intercept values, equation becomes ;
y = - 5x + 8
PLEASE HELP ME ASAP!!!!
What is the area of the triangle if the base is 5 centimeters and the height is 6 centimeters?
16 inches
12 feet
4 m 3
15 cm 2
Answer:
15 cm
Step-by-step explanation:
6x5 divide by 2
Answer:
15 cm^2
Step-by-step explanation:
52,300,000 in scientific notation
Answer:
5.23 × 10 ^7
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10 If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Paul has $145 in his savings account. He earns $36 a week mowing lawns. If Paul saves all of his earnings, after how many weeks will he have no more than $450 saved?
Answer:
Paul will have no more than $ 450 in next 8 weeks.
Step-by-step explanation:
From the information given on statement, we know that Paul saves all of his earnings weekly. Then, the money save is equal to the sum of initial amount ([tex]C_{o}[/tex]), measured in monetary units, and week earning ([tex]R[/tex]), measured in monetary units, multiplied by a number of weeks ([tex]n[/tex]), dimensionless:
[tex]C =C_{o} + n\cdot R[/tex] (1)
Now we clear the number of weeks within the formula:
[tex]n = \frac{C-C_{o}}{R}[/tex]
If we know that [tex]C_{o} = \$\,145[/tex], [tex]C = \$\,450[/tex] and [tex]R = \$\,36[/tex], then the number of weeks is:
[tex]n = \frac{\$\,450-\$\,145}{\$\,36}[/tex]
[tex]n = 8.472[/tex]
Paul will have no more than $ 450 in next 8 weeks.
Answer:
Paul will have no more than $ 450 in next 8 weeks.
Step-by-step explanation:
If one of the diagonals of a rectangle is 20cm and the difference between the length and the width is 4cm. What is the area of the triangle
Answer:
192cm²
Step-by-step explanation:
The diagonal of the rectangle is expressed using the formula:
d = √l²+w²
l is the length
w is the width
Given d = 20
20 = √l²+w²
400 = l²+w² .... 1
Since the difference between the length and the width is 4cm, then;
l - w = 4 ... 2
l = 4 + w
Substitute equation 2 into 1;
400 = (4+w)²+w²
400 = 16 +8w + w² +w²
400 = 16 + 8w + 2w²
2w²+8w - 384 = 0
w²+4w - 192 = 0
w = -4±√4²-4(-192)/2
w = -4±√16+768/2
w = -4±28/2
w = -4+28/2
w = 24/2
w = 12
Since l = w+4
l = 12+4
l = 16
Area of the rectangle = 16 * 12
Area of the rectangle = 192cm²
Answer:
rytytyf
Step-by-step explanation:
yiyiuyiuy
1) Find
dy/dx
given y^2= x
to the nearest 50 square feet what is the area of the actual store?
[EASY] Will give 20 points in next question if correct *photo attached/underline*
Answer:
ummmmmmmm
0.4?
Convert 45.1% to a decimal.
Answer:
Queen Messy here!
0.451
moving the decimals to the left when dividing (:
Step-by-step explanation:
Six pallets of soda weigh 180 pounds. How much
would 10 pallets weigh?
Answer:
300
Step-by-step explanation:
Answer:
10 pallets would weigh 300 pounds
Step-by-step explanation:
6 pallets = 180 pounds
10 pallets = x pounds
Cross multiply;
6x = 1800
Divide both sides by 6;
x = 300