What is the length, in feet, of the hypotenuse of a right triangle with legs that are 6 feet long and 7 feet long, respectively?

√
13
square root of 13

√
85
square root of 85

13
13

21
21,

42

Answer:

The answer will be D!

Step-by-step explanation:

First, let's find the value of X:

2x + 4x + 3x = 81

9x = 81

x = 9

Then, multiply it by the biggest side which is 4:

9 x 4 = 36

Answer:

The angles in the smaller prism measure 90 degrees.

The perimeter of the rectangular bases changes by a factor of 2.

The area of the rectangular bases changes by a factor of 4.

Step-by-step explanation:

Two polygons are said to be similar if they have the same shape and angles. Also, the ratio of their corresponding sides are to be in the same proportion.

A) Since the two prism are similar, therefore they are to have the same angle measure. The bigger prism has angles with measure of 90°, hence the angles in the smaller prism will also measure 90.

B) Perimeter of bigger prism base = 2(2.2 + 0.8) = 6

Perimeter of smaller prism base = 2(1.1 + 0.4) = 3

Hence, The perimeter of the rectangular bases changes by a factor of 2 (6 / 3).

C) Surface area of bigger prism = 2(2.2*0.8 + 3.2*0.8 + 3.2*2.2) = 22.72

Surface area of smaller prism = 2(1.1*0.4 + 1.6*0.4 + 1.6*1.1) = 5.68

22.72 / 5.68 ≠ 8, hence the surface area does not change by a factor of 8

Option C is wrong

D) Volume of bigger prism = 3.2 * 2.2 * 0.8 = 5.632

Volume of smaller prism = 0.4 * 1.6 * 1.1 = 0.704

The volume of larger prism is not twice of the smaller prism (5.732 / 0.704 ≠ 2)

E) Area of bigger prism base = 2.2*0.8 = 1.76

Area of smaller prism base = 2.2*0.8 = 0.44

Since 1.76 / 0.44 = 4; The area of the rectangular bases changes by a factor of 4

Answer:

5

Step-by-step explanation:

3/(x/9)=5 2/5

5 2/5=27/5

(3/1)(9/x)=27/5

27/x=27/5

x=5

Answer:

b.........................

Answer:

D.

Step-by-step explanation:

bahahahhaa

Hey karlieeeeeeeeeeeeee XD

Answer:

950, 1121.00, 1322.78, 1,560.88, 1,841.84

Step-by-step explanation:

Calculation to determine the sequences that describes his increasing monthly balance

Based on the information given in order for us to determine the sequence we have to multiply the amount owes by the interest rate and then add back the answer you got to the previous amount you multiplied the interest rate to.

First sequence will be the amount he owes on a credit which is $950

Second sequence

950 * .018 = 171.00

950 + 171.00 = 1121.00

Third sequence

1121.00 * .018 = 201.78

1121.00 + 201.78 = 1322.78

Fourth sequence

1322.78*0.18=238.10

1322.78+238.10=1,560.88

Last sequence

1,560.88*0.18=280.96

1,560.88+280.96=1,841.84

Therefore the sequences that describes his increasing monthly balance are:

950, 1121.00, 1322.78, 1,560.88, 1,841.84

Answer:

8

Step-by-step explanation:

Answer:

144

Step-by-step explanation:

We can see that every 2 boxes has 24 peaches in it. That means that every single box would have 12 in it. Then it is just simple multiplication from there. 12 * 12 = 144.

Hope that this helps!

Answer:

C. Yes nicholas is right.

Answer:

25 grays, 7 pink, 22 orange

total marbles- 54

marbles that are not grey- 29

P(not grey): 29/54

Answer:

13

Step-by-step explanation:

You need to use pythagorean theorem (a^2 + b^2 = c^2). In this case 5 is a, 12 is b, and z is c. 5^2 + 12^2 = z^2, this ends up as 169 = z^2. Now you find the square root of 169 which is 13.

Step-by-step explanation:

Maybe it is root 5²time 12²=60

Answer:

Step-by-step explanation:

Welllllll.....

If you take the square root of 9, it's 3

if you take the square root if 16, it's 4

I would guess it to be about 3.2

Answer:

Step-by-step explanation:

Lily ,  we know that [tex]3^{2}[/tex] =9  and [tex]4^{2}[/tex] = 16  so we know that  [tex]x^{2}[/tex] = 10  , where 10 is an answer to x squared,  then X lies between 3 and 4   ,  see?  

Answer:

15% off of $34.99 equals $29.74

Step-by-step explanation:

the discount she receives should be

$34.99-$29.74= $5.25

Answer:

1). 6 eggs = 7.5 waffles 2). 8 ounces for 24 biscuits

Step-by-step explanation:

Answer:

popcorn is 5.5 and drink is 4

Step-by-step explanation:

It just is my g

Answer:

y = x + 1

Step-by-step explanation:

find slope first:

(4-2) / (3-1) = 2/2 or 1

now find the y-intercept, or 'b' by using one of the two given points and the slope

2 = 1(1) + b

2 = 1 + b

1 = b

equation in slope-intercept form:

y = 1x + 1  or  y = x + 1

Step-by-step explanation:

Radicals and fractional exponents are alternate ways of expressing the same thing. ... These examples help us model a relationship between radicals and rational ... Problem. Write as an expression with a rational exponent. The radical form can be ... Change the expression with the rational exponent back to radical form.  

Answer:

4x³

Step-by-step explanation:

4 * x * x * x

4 * x² * x

4 * x³

4x³

Simply multiply, that's all that's needed.

Answer:

To find the x-intercept, substitute in

0

for

y

and solve for

x

. To find the y-intercept, substitute in

0

for

x

and solve for

y

.

x-intercept(s):

(

5

,

0

)

y-intercept(s):

(

0

,

10

)

Step-by-step explanation:

hope it helps make brainlliest ty

Answer:

Yes

Step-by-step explanation:

The two objects are plotted at different points in graph and one gets the difference of points y coordinates (change in y) and change in x too.

Then one can look for distance as hypotenous and change in y as height and change in x as the base of our imaginery triangle.

Therefore, from Pythagoras Theoreom:

hyptenous² = height² + base²

Distance² = change in y² + change in x²

Distance = √change in y² + change in x²

Answer:

The variable is y

The coefficient is 4

The constant is 18

Answer:

1. y

2. 4

3. 18

..............

Answer:

The area of the SHADED region is 21 cm.²

Step-by-step explanation:

The area of the SHADED region is the difference between the area of the entire figure and the area of the UNSHADED region

The shape of the UNSHADED region is a rectangle

The area of a rectangle, A = The length × The width

∴ The area of the UNSHADED region, A = 1 cm × 4 cm = 4 cm²

The area enclosed by the entire figure is in the shape of a square

The area of a square s similar to the area of the rectangle, but because a square has equal side length, the area of a square, A = Side length × Side length

Therefore, the area enclosed by the entire figure = 5 cm × 5 cm = 25 cm²

The area of the SHADED region = The area enclosed by the entire figure - The area of the UNSHADED rectangular figure inside

That is the area of the SHADED region = 25 cm² - 4 cm² = 21 cm².

Answer:

3.6cm

Step-by-step explanation:

YZ = 10² - 6² = 8

sinX = 8/10 = 53.13º

cos 53.13º = XN/6

XN = 3.6cm

Answer:

[tex] \underline{ \underline{ \red{ \large {\tt{✧ G \: I \: V \: E \: N}}} }}: [/tex]

[tex] \underline{ \underline{ \purple{ \large{ \tt{✧ T \: O \: \: F\: I\: N\: D}}}}} : [/tex]

[tex] \underline{ \underline{ \pink{\large {\tt{✧ S \: O \: L \: U\: T\: I \: O\: N}}}} }: [/tex]

In rt. XYZ :

Using Pythagoras theorem:

[tex] \large{ \sf{p = \sqrt{ {h}^{2} - {b}^{2} } }}[/tex]

Plug the values & then simplify!

⇢ [tex] \large{ \sf{YZ = \sqrt{( {10)}^{2} - {(6)}^{2} } }}[/tex]

⇢ [tex] \large{ \sf{YZ = \sqrt{100 - 36}}}[/tex]

⇢ [tex] \large{ \sf{YZ = \sqrt{64}}} [/tex]

⇢ [tex] \large{ \sf{YZ = 8} \: cm} \: [/tex]

In rt. YNZ ,

Using Pythagoras theorem :

⇾ [tex] \large{ \sf{ {p}^{2} = {h}^{2} - {b}^{2} }}[/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = {8}^{2} - {(10 - x)}}}^{2} [/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = 64 - \{ {(10)}^{2} - 2 \times 10 \times x + {(x)}^{2} \} }}[/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = 64 - \{100 - 20x + {x}^{2} \}}} [/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = 64 - 100 + 20x - {x}^{2} }}[/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = 20x - {x}^{2} - 36}} \longrightarrow \: eq (i)[/tex]

In rt. XYN ,

Using Pythagoras theorem :

[tex] \large{ \sf{ {p}^{2} = {h}^{2} - {b}^{2} }}[/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = {(6)}^{2} - {(x)}}}^{2} [/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = 36 - {x}^{2} \longrightarrow \: eq(ii) }}[/tex]

Now , From Equation ( i ) & Equation ( ii )

⤑ [tex] \large{ \sf{20x - {x}^{2} - 36 = 36 - {x}^{2} }}[/tex]

⤑ [tex] \large{ \sf{20x - \cancel{ {x}^{2} } - 36 = 36 - \cancel{ {x}^{2} }}}[/tex]

⤑ [tex] \large{ \sf{20x = 36 + 36}}[/tex]

⤑ [tex] \large{ \sf{20x = 72}}[/tex]

⤑ [tex] \large{ \sf{x = 3.6}}[/tex] cm

Hence, The length of XN is [tex] \large{ \boxed{\red{ \bold{ \tt{3.6 \: cm}}}}}[/tex]

[ Correct me if I am wrong ]

♨ Hope I helped! ♡

♪ Have a wonderful day / night ! ☃

☥ [tex] \underbrace{ \overbrace{{ \mathfrak{Carry \: On \: Learning}}}}[/tex] ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

This is interesting but I don't think it's provable (unless it's just the square of odd numbers).

3² = 9, which is 1 more than a multiple of 8  (8)

4² = 16, which is not 1 more than a multiple of 8  (8)

5² = 25, which is 1 more than a multiple of 8  (24)

6² = 36, which is not 1 more than a multiple of 8  (32)

7² = 49, which is 1 more than a multiple of 8  (48)

8² = 64, which is not 1 more than a multiple of 8  (64)

9² = 81, which is 1 more than a multiple of 8  (80)

10² = 100, which is not 1 more than a multiple of 8  (96)

Answer:

No its not, because if you use the pythagorean theorem formula 9 and 14 will not equal 15. So it wouldn't make it a right triangle.

Answer:

she has 2.5 minutes per question

90 ÷ 36 = 2.5

Step-by-step explanation:

Answer:

The answer is 2.5 minutes per second

Step-by-step explanation:

you divide 90 to 36 and it will give you 2.5