Use the functions h(x) = 2x + 5 and t(x) = 7x − 6 to complete the function operations listed below.

Please help I don't know the median give an answer and explanation

morpeh [17]

Answer:

Median is the middle of the data set. For example this data set is 4, 6, 7, 9, 10. First you take out 4 and 10. The you take out 6 and 9 to get a median of 7. But if there is an even amount of numbers like in this data set, 1, 2, 4, 5. Then you take out 1 and 5 and then find the middle point in between 2 and 4 which is 3.

5 0

2 years ago

The sides of a parallelogram are 14ft and 16ft. One angle is 41° while another angle is 139°. Find the lengths of the diagonals

Semenov [28]

We will have the following:

First, we have that the problem can be seeing as follows:

Now, knowing this and the the properties of the diagonals we will have that [We use the law of cosines}:

First diagonal [AC} is given by:

$\begin{gathered} AC=\sqrt{16^2+14^2-2cos(41)}\Rightarrow AC=10.67193085... \\ \\ \Rightarrow AC\approx10.7 \end{gathered}$

So, one of the diagonals has an approximate length of 10.7 ft.

Second diagonal [BD] is given by:

$\begin{gathered} BD=\sqrt{16^2+14^2-2(16)(14)cos(139)}\Rightarrow BD=28.10889347... \\ \\ \Rightarrow BD\approx28.1 \end{gathered}$

So, the second diagonal has a length of approximately 28.1 ft.

**Diagonals**

$\begin{gathered} AC\approx10.7ft \\ \\ BD\approx28.1ft \end{gathered}$

7 0

1 year ago

A town recreation hall needs to build a ramp. The height of the ramp must be 2 ft. The ramp will start 6 ft from the door. To th

zimovet [89]

Answer:

6.32 feets

Step-by-step explanation:

Given that:

Height of ramp = 2 feets

Length of base = 6 feets

Length of ramp = l

Using Pythagoras rule :

Hypotenus = sqrt(opposite² + adjacent²)

Length of ramp = sqrt(height of ramp² + length of base²)

l = sqrt(2² + 6²)

l = sqrt(4 + 36)

l = sqrt(40)

l = 6.3245

Length of ramp = 6.32 feets

3 0

3 years ago

NEED HELP ASAP

KengaRu [80]

Answer:

Part 1) Triangle GHI, JKL

Part 2) $(40*15)and(8*3)$ , $(18*6)and(4.5*1.5)$

Step-by-step explanation:

we know that

If two figures are similar

then

the ratio of their corresponding sides are equal and is called the scale factor

Part 1)

case a) triangle GHI

If ABC and GHI are similar

then

$\frac{4}{24}=\frac{3}{7}=\frac{5}{25}$

but

$0.17 \neq 0.43 \neq \ 0.20$

therefore

Triangle GHI is not similar to triangle ABC

case b) triangle DEF

If ABC and DEF are similar

then

$\frac{4}{44}=\frac{3}{33}=\frac{5}{55}$

$0.09=0.09=0.09$

therefore

Triangle DEF is similar to triangle ABC

case c) triangle MNO

If ABC and MNO are similar

then

$\frac{4}{10}=\frac{3}{7.5}=\frac{5}{12.5}$

$0.4=0.4=0.4$

therefore

Triangle MNO is similar to triangle ABC

case d) triangle JKL

If ABC and JKL are similar

then

$\frac{4}{21}=\frac{3}{20}=\frac{5}{29}$

$0.19 \neq 0.15 \neq 0.17$

therefore

Triangle JKL is not similar to triangle ABC

Part 2)

case a) If the rectangles are similar, then

$\frac{40}{8}=\frac{15}{3}$

$5=5$

therefore

the rectangles are similar

case b) If the rectangles are similar, then

$\frac{18}{4.5}=\frac{6}{1.5}$

$4=4$

therefore

the rectangles are similar

case c) If the rectangles are similar, then

$\frac{1,225}{3.5}=\frac{144}{1.2}$

$350\neq120$

therefore

the rectangles are not similar

case d) If the rectangles are similar, then

$\frac{13}{5.2}=\frac{5}{2.5}$

$2.5\neq 2$

therefore

the rectangles are not similar

3 0

4 years ago

Find the value of X and Y.

spin [16.1K]

X=14 Y=12 I hope this helpex.

3 0

3 years ago