Answer
35
Step-by-step explanation:
Using Pythagoras theorem since it's a right angle triangle,
The missing side, say h,is the hypotenuse
28²+21²= h²
784+441=h²
√1225=√h²
h=35
Using ax^2 + bx + c = 0 factor 25x^2 = 49 into two linear factors
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{25x^2=49}[/tex]
[tex]\textsf{DIVIDE by 25 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{25x^2}{25}=\dfrac{49}{25}}[/tex]
[tex]\textsf{Cancel out: }\mathsf{\dfrac{25}{25}}\textsf{ because it gives you 1}[/tex]
[tex]\textsf{Keep: }\mathsf{\dfrac{49}{25}}\textsf{ because it helps us solve for x}[/tex]
[tex]\textsf{New equation: }\mathsf{x^2 = \dfrac{49}{25}}[/tex]
[tex]\textsf{TAKE the SQUARE ROOT}[/tex]
[tex]\mathsf{x\pm \sqrt{\dfrac{49}{25}}}[/tex]
[tex]\mathsf{\sqrt{\dfrac{49}{25}}= 1.4}[/tex]
[tex]\mathsf{- \sqrt{\dfrac{49}{25}}= -1.4}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf x = 1.4 or x = -1.4}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
For what value of y does 125=(1/25)^(y-1)?
Answer:
y = -1/2 is the answer to 125=(1/25)^(y-1)
evaluate 11P4 and 9C5
A positive integer is 4 less than another. If 3 times the reciprocal of the smaller integer is subtracted from the reciprocal of the larger integer, then the result is −67. Find all pairs of integers that satisfy this condition.
Answer:
(0.0147, 4.0147) and (-4.04, 0.04)
Step-by-step explanation:
Let the smaller number be x
Let the larger number be y
If a positive integer is 4 less than another, then;
x = y - 4 ...1
If 3 times the reciprocal of the smaller integer is subtracted from the reciprocal of the larger integer and result is -67, then;
1/y - 3(1/x) = -67
1/y -3/x = -67 ...2
Substitute 1 into 2
1/y - 3/y-4 = -67
y-4-3y/y(y-4) = -67
-4-2y = -67(y^2-4y)
- 4-2y = -67y^2 +268y
-67y^2 +268y+2y + 4 = 0
-67y^2 +270y + 4 =0
67y^2 -270y - 4 = 0
Factorize
-270±√270² - 4(-4)(67)/2(67)
= -270±√72,900+1072/134
= -270±271.97/134
= -270 -271.97/134 and -270 +271.97/134
= -541.97/134 and 1.97/134
x = 0.0147 and -4.04
y = x+4
y = 0.0147+4
y = 4.0147
If x = -4.04
y = -4.04 + 4
y = 0.04
Hence the pair of values are (0.0147, 4.0147) and (-4.04, 0.04)
somebody please help quick! solve for x
Answer:
x = 8
Step-by-step explanation:
51° = 4x + 19
32° = 4x
8 = x
Answer:
x = 8
Step-by-step explanation:
well, 4 x something + 19 = 51
51-19=32
32/4=8
so your answer is 8
4 x 8 + 19 = 51
40°
50°
Х
x = __ degrees
Step-by-step explanation:
you just do 180 - 90 = 90 degree is x value
Answer:
x should equal 90.
Step-by-step explanation:
x is the sum of those two interior angles. 50 + 40 equals 90.
Please help will give BRAINLIEST
Answer:
2nd table
Step-by-step explanation:
Find the greatest common factor of the following monomials 34c^5 and 26c^4 and 2c^6
Answer:
63c^5
Step-by-step explanation:
Solve the right triangle below. Round all your answers to the nearest tenth. Measure of angle Z = ______
Answer:
[tex]Measure \: of \: angle \: z = \boxed{ \tt{ 19.5\degree}}[/tex]
3. Find the measure of the angle given.
E
60°
D
F
100
P
30°
80°
120°
50°
Answer:
80
Step-by-step explanation:
The sum of the opposite inscribed angles is 180
x+100 = 180
X = 80
pls help! a small box measures 5in. by 10 in. By 7 in height. Find the volume of the box
Answer:
350
Step-by-step explanation:
r is between q and s. if rs=47 and qs =83.8 find qr
150 students were surveyed to see what sport they play what percentage plays soccer
How many solutions does the nonlinear system of equations graphed below
have?
Answer:
One. The point at which the parabola and the line intersect.
Find the area of each figure. Use 3.14 for pie.
Answer:
sorry
Step-by-step explanation:
i think hope this helps
5(x + 9) = 5x + 45?
What property is this equation?
Answer:
distributive property
25% of 275 is 68.85
Answer:
Step-by-step explanation:
no its not
its 68.75
PLEASE HELP ASAP
I have $70 how much do i need to get to $140.34?
Answer:
$70.34
Step-by-step explanation:
Answer:
you need 70.34
Howard buys 5 suits a year when he earns $70,000. When his income increases to $200,000, he buys 15 suits a year. Based on this
information, suits are considered to be
a complementary good.
an inferior good.
a neutral good.
a normal good.
a substitute good.
Answer:
a complementary good
Step-by-step explanation:
Howard spends $70,000 per year on 5 suits. When his income reaches $200,000, he purchases 15 suits per year. Suits are classified as a normal good based on this information.
What is meant by Normal Good?A normal good is one that sees an increase in demand due to an increase in consumer income. In other words, an increase in wages leads to an increase in demand for ordinary goods, whereas a decrease in wages or layoffs leads to a decrease in demand. In economics, an inferior good is one whose demand falls when consumer income rises (or rises when consumer income falls), as opposed to normal goods, which experience the opposite effect. Normal goods are those whose demand increases as consumer income rises. Normal goods are those for which the relationship between consumer income and quantity demanded is positive. In other words, the income effect is positive while the substitution effect is negative.To learn more about normal good, refer to:
https://brainly.com/question/12671549
#SPJ2
help i need the answers by tomorrow
8 inch radius:
area: 200.96
circum: 50.25
12 yd rad:
area: 452.16
circum:75.36
20 ft dia:
area: 314
circum:62.8
36 dia:
area:1017.36
circum: 113.04
An item has a listed price of $30. If the sales tax rate is 5%, how much is the sales tax (in dollars)?
Answer:
$31.50
Step-by-step explanation:
First find 5 percent of 30 which is 5 divided by 100 multiplied by 30 then add the answer to 30 to get the answer to the question
allan's car uses 1 liter of fuel to travel 12 km , how much fuel does she need to travel 420km
Answer:
Allan needs 35 liters to travel 420km
Answer:
The answer should be: 35 liters of fuel
Step-by-step explanation:
math, i can give you brainliset just help me with the two questions :)
Answer:
2. the interquartile range is 20
3. 80 is the median.
Step-by-step explanation:
have a nice day.
Qué número es 3 unidades mayor que +5
Answer:
8
Step-by-step explanation:
5 + 3 = 8
Pls help...................
I give Brainlest !!!!!!!
Answer:
40,000
Step-by-step explanation:
HELP OKEAEE HELPE PELASE
Answer:
The y-intercept is 4
Step-by-step explanation:
Please help! which ones are Standard form and which one are Vertex form?
From left to right starting on the top row it goes standered ,standered, vertex.The bottom row goes from left to right vertex, vertex standerand.
hope this helps!
In the boxes, provide a value for side a, side b, and angle C. The value of side a should be between 10 and 20. The value of side b should be between 20 and 30. The value of angle C should be between 20 and 70 (degrees).
Answer:
Step-by-step explanation:
This doesn't really make sense.
All you have to do is pick numbers that fall in between the numbers provided.
like:
a = 11
b = 21
C = 21
There's not really a question . . .
How many times can 45 go into 7,200?
Answer:
160
Step-by-step explanation:
divided 7200 by 45 to get 160