Triangle ABC below has a right angle C and a hight CD. If AC is 3 units long and BC is 4 units long, what is the length of AB?

Answers

Answer 1

Answer:

AB = 5

Step-by-step explanation:

Pythagorean theorem: a² + b² = c²

=> 3² + 4² = AB²

=> AB = [tex]\sqrt{3^{2}+4^{2} }[/tex]

=> AB = 5


Related Questions

Find the value of x and classify the triangle plzzz

Answers

Answer:

x=24°

The triangle is an obtuse isosceles triangle

Step-by-step explanation:

This is an obtuse isosceles triangle because it has two congruent sides, making it an isosceles triangle, and there is an obtuse angle, which is any angle greater than 90°.

The interior angles of a triangle add up to 180, so let's make an equation.

132+2x=180

Then solve for x

subtract 132 from both sides

2x=48

Divide by 2 on both sides

x=24

The answer would be X=24 obtuse isosceles triangle

Janice bought an antique clock originally priced at $967 but on sale for 5% off. After 1% sales tax, what was the total cost?

Answers

Answer:

927.84

Step-by-step explanation:

The total cost of the antique clock that Janice bought is $927.82 approximately.

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

For this case, we have:

Original price of clock = $967Sale discount  = 5% on original price1% sales tax on the discounted price

Total cost = (discounted price of clock)'s price + sales tax of discounted price.

Let d = discounted price of the clock

Then, we have:

[tex]d = $967 - \text{5\% discount on 967} \\\\d = 967 - \dfrac{967}{100} \times 5 = \$918.65[/tex]

1% sales tax on 'd' will be: [tex]\dfrac{d}{100} \times 1 = \$9.1865 \approx \$9.19[/tex]

Thus, we get:

Total cost of the clock ≈ 918.65 + 9.19 = 927.82 (in dollars)

Thus, the total cost of the antique clock that Janice bought is $927.82 approximately.

Learn more about percent here:

https://brainly.com/question/11549320

CAN SOMEONE HELP ME PLEASE

Answers

The solution is acute angles

Answer:

x = 4, y = -3

Step-by-step explanation:

Find the slope intercept form first (y = mx + b):

the one going down is y = -1/2x - 1 (slope is negative, down 1 over 2, and the y-intercept is at (0, -1) )

the one going up is y = 1/4x - 4 (slope is up 1 over 4, and the y-intercept is at (0, -4)

Convert them into standard form (Ax + By = C):

1st equation: multiply the entirety of both sides by 2 to get rid of the fraction:

2y = -1x -`2

add 1x to both sides: 1x + 2y = -2

2nd equation: multiply the entirety of both sides by 4 to get rid of the fraction:

4y = 1x - 16

subtract 1x from both sides: -1x + 4y = -16

Isolate a variable:

-x + 4y = -16

-x = -4y - 16

x = 4y + 16

Plug that into other equation:

1(4y + 16) + 2y = -2

6y + 16 = -2

6y = -18

y = -3

Substitute y into the isolated equation:

x = 4(-3) + 16

x = -12 + 16

x = 4

Find the rate change

Answers

Rate change is $3.50

25 POINTS !!
4
Select the correct answer.
Consider this equalion
sin()
4729
29
If 0 is an angle in quadrant IV, what is the value of cos();
OA.
OB.
4729
29
V377
29
4729
29
377
29
O c.
OD.

Answers

The answer to this problem is in fact B

Answer:

B

Step-by-step explanation:

The equation for the speed/distance
of a tornado is s = 93 log(d) + 65.
If the speed is 190 mph, what is the distance?

Answers

Step-by-step explanation:

S = 93 log (d) + 65; S = wind speed; d = distance traveled by tornado

A) tornado travels 130 miles = d; find S

S = 93 log10(130) + 65

S = 261.6 mph rounds up to 262 mph

Answer:

22 miles

Step-by-step explanation:

s = 93 log(d) + 65  and  s = 19093 log(d) + 65 = 19093 log(d) = 125log (d) = 125/93log (d) = 1.344 (rounded)d = 10^1.344d = 22 miles (rounded)

answer the question for 10 points and brainilest

Answers

Answer:

The one at the bottom left. C

Step-by-step explanation:

WILL MAKE BRAINLIST only if you solve this

Answers

Answer:

18/18 is fractions

16/16 is fractions

Step-by-step explanation:

18/18x16/16=1

Theres your answer.

help plsss-















it’s not letting me post omh :/

Answers

Answer:

20 fl ounce = 1 pt and 4 fl oz

Step-by-step explanation:

We want to convert fluid ounce to pint and fluid ounce

Mathematically;

Mathematically, 1 pint = 16 fluid ounce

Now we can write 20 fluid ounce as;

16 fl ounce + 4 fl ounce

Since 16 fl ounce is a pint, we have it that;

20 fluid ounce is 1 pt 4 fl oz

The graph shows a line and two similar triangles which expression finds the equation of the line?

Answers

Answer:c

Step-by-step explanation:

Answer:

hello, sorry i'm late, your answer would be: option b, y/x = 2/3

Step-by-step explanation:

proof:

can someone help me with this please^

Answers

Answer:

a) 126degrees

b) 47degrees

Step-by-step explanation:

The sum of two supplementary angles is 180 degrees.

Let the other angle be x

x  + 54 = 180

x = 180 - 54

x = 126degrees

The supplement is 126degrees

b) The sum of two complementary angles is 90 degrees.

Let the other angle be y

y  + 43 = 90

y = 90 - 43

y = 47degrees

Hence the complement is 47 degrees

I really need someone’s help I don’t remember how to do this

Answers

Answer:

3

Step-by-step explanation:

cubed root means _x_x_= the number

so in this case it would be _x_x_=27

and what times what times what equals 27?

3x3x3=27

Kate has a coin collection. She keeps 7 of the coins in a box, which is only 5% of her entire collection. What is the total number of coins in Kate's collection?

A- 12
B- 14
C- 120
D- 140

Answers

Answer:

672

Step-by-step explanation:

7×95=665

665+7=672

the answer is 628292992929293747474849393939

Your company plans to invest in a particular project. There is a 35% chance that you will lose $30,000, a 40% chance that you will break even, and a 25% chance that you will make $55,000. Based solely on this information, what should you do?

Answers

Based on the information I think you should not invest in the project. The chances of losing money or not making any money is much higher then the chances of making money

1)4/9 ÷ 2/3
2) 5/13 ÷ 7/6
3)13/15 ÷ 9/10
4) 5.2 x 8.5
5) 12.5 x 7.9
6) 0.3 x 11.2
7) 9 ÷ 4.5
8) 5.9 ÷ 0.54
9) 12.9 ÷ 46.5

Solve these question while showing your work.

Answers

1. 2/3. Flip 2/3 into 3/2 and then multiply and simplify.
2. 30/91. Flip 7/6 to 6/7 and then multiply. You cannot simplify the fraction.
3. 26/27. Flip 9/10 to 10/9 and then multiply. You cannot simplify the fraction.
4. 44.2. Multiply it as if there was no decimal. Then count the number of digits after the decimal in each factor. Then put the same number of digits behind the decimal in the product.
5. 98.75. Multiply it as if there was no decimal. Then count the number of digits after the decimal in each factor. Then put the same number of digits behind the decimal in the product.
6. 3.36. Multiply it as if there was no decimal. Then count the number of digits after the decimal in each factor. Then put the same number of digits behind the decimal in the product.
7. 2. Multiply the divisor by as many 10’s as necessary until you get a whole number. Remember to multiply the dividend by the same number of 10’s. Then divide it normally.
8. 10.93 (rounded). Multiply the divisor by as many 10’s as necessary until you get a whole number. Remember to multiply the dividend by the same number of 10’s. Then divide it normally. I rounded it to the hundredth.
Hope this helps!

Find the volume of a cone that has a radius of 14ft and a height of 18.9ft

Answers

Answer:

[tex]v = \pi {r}^{2} \frac{h}{3} = 14 \times 14 \times 3.14 \times \frac{18.9}{3} = 3877.272[/tex]

Consider the system of equations.


3x − y = 5,

2x + 3y = −15


Which value can the first equation be multiplied by to form opposite values on the y-term? A=-3 B= -2 C=2 D=3

The solution to the system of equations is .A= (-5,0) B= (5,0) C= (0,-5) D=(0,5)

Answers

Answer:

D and C

Step-by-step explanation:

Given the 2 equations

3x - y = 5 → (1)

2x + 3y = - 15 → (2)

Multiplying (1) by 3 and adding to (2) will eliminate the y- term

9x - 3y = 15 → (3)

Add (2) and (3) term by term to eliminate y

11x + 0 = 0

11x = 0 ⇒ x = 0

Substitute x = 0 into either of the 2 equations and solve for y

Substituting into (2)

2(0) + 3y = - 15

0 + 3y = - 15

3y = - 15 ( divide both sides by 3 )

y = - 5

solution is (0, - 5 )

Answer:

d and c my guy

Step-by-step explanation:

just did it

HELP ASAP
Find a set of parametric equations for the rectangular equation.
t=7-x
y=1/x

a.x=7+t,y=1/(-t+7)
b.x=t-7,y=-1/(t+7)
c.x=7-t,y=-1/(t-7)
d.x=t-7,y=1/(t+7)
e.7+t,y=1/(t-7)

Answers

9514 1404 393

Answer:

  c.  x = 7-t; y = -1/(t -7)

Step-by-step explanation:

To find the parametric equation for x, use the equation for t and solve for x.

  t = 7-x

  x = 7 -t . . . . . . add x-t to both sides

__

To find the parametric equation for y, substitute the equation for x.

  y = 1/x

  y = 1/(7-t)

To make this match the available choices, we need to multiply numerator and denominator by -1.

  y = -1/(t -7)

The parametric equations are ...

  x = 7 -t; y = -1/(t -7) . . . . . . matches choice C

Answer: it is C

Step-by-step explanation:

Two airplanes leave the same airport. One heads north, and the other heads east. After some time, the northbound airplane has traveled 68 miles. If the two airplanes are 85 miles apart, how far has the eastbound airplane traveled?

Answers

Answer:

17 miles

Step-by-step explanation:

85 - 68

17

d. You can multiply cand 8
by in 1(c + 8) to find
an equivalent expression. True
False

Answers

Answer:

i don't think you can (but i could be wrong)

Step-by-step explanation:

my thinking is that since there is still an unknown variable even after you've multiplied that there can't be an equivalent expression

1(c+8)*8

=?

good luck :)

i hope this helps

**please let me know if this was incorrect**

have a nice day!

Find the volume of a sphere with a surface area of 1296 in.

Answers

Answer:

V≈4387.14

Step-by-step explanation:

What value of z makes this equation true?
Z+32=73+25
A.
66
B.
67
C.
80
D.
79

Answers

Answer:

a

Step-by-step explanation:

73+25=98

66+32=98

PLZZZZZZZZZZZZ HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The new price is $138
120/100=x/15
x=18
15% of 120 is 18
120+18=138

Need help ASAP PLEASE !!!

Answers

Answer:

B.(-6,-1)

Step-by-step explanation:

Please check my answer !! thank you ⭐️

Answers

I think your answer is right.

13. Connie wants to paint one wall in her living room. Along the wall, she
counted 60 pieces of hardwood that are each 6 cm wide. The wall is 8 feet
tall. Estimate the area of the wall she plans to paint. Round to the nearest
square foot. (1 foot approximately 30 cm)

Answers

Answer:  Approximately 96 square feet

======================================================

Work Shown:

1 ft = 30 cm

1 ft = (5*6) cm

1 ft = 5*(6 cm)

1 ft = 5*(1 board width)

1 ft = 5 board widths

12*(1 ft) = 12*(5 board widths)

12 ft = 60 board widths

12 ft = 1 full wall length

The wall is 12 feet horizontally across and 8 feet tall, so its estimated area is 12*8 = 96 square feet approximately. This is approximate because of the fact we used the approximation of 1 ft = 30 cm.

Beth is making fruit saladShe adds 5 grapes for every strawberriesshe uses 12 strawberries, how many grapes will use? Please help me!!

Answers

Answer:

She will use 60.

Step-by-step explanation:

12 x 5 = 60

Hope this helps ⭐

Answer:

Hello! Answer: 60

Step-by-step explanation:

If she is using 5 grapes per strawberries then we would do 12 x 5 = 60 and 60 is our answer.

13. The coefficient in 8p + 897 is?
A. 8
B. p
C. =
D. 897​

Answers

Answer:

the correct answer is A. 8

8 is the answer , it’s the number placed with a variable before the next number or after the sign

evaluate show the solution of 14C6 and 15C4​

Answers

Answer:

Evaluate each expression for a = 4, b = 2, and c = 5.

c − a

A Choir director made a histogram showing his ages of the members in choir which statement about the data in the histogram must be true

Answers

Answer:

C) The choir has a total of 100 members

Step-by-step explanation:

Histogram is the graphical representation of data with the use of bars of different heights.

From the histogram attached:

A) Number of people fro 46 to 73 years = 30 + 5 + 15 = 50

Total Number of people = 15 + 20 + 5 + 10 + 30 + 5 + 15 = 100

Therefore half of the people are from 46 to 73 years.

Therefore the statement that more than half of the people are from 46 to 73 years is wrong.

B) The histogram shows the number of members between each age range, it does not show the number of male and female members. Hence we cannot determine the number of male and female members.

C) Total Number of people = 15 + 20 + 5 + 10 + 30 + 5 + 15 = 100

The choir has a total of 100 members

D) Number of people less than 32 years = 15 + 20 = 35

Therefore the statement that exactly 20 members are less than 32 years is wrong

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