What is the value of the 54.2-3.67

Solve step by step solution then only i can do it plxx

Anuta_ua [19.1K]

Answer:

<h3><u>Let's</u><u> </u><u>understand the concept</u><u>:</u><u>-</u></h3>

Here angle B is 90°

So $\triangle ABC$ and $\triangle ABD$ Are right angled triangle

So we use Pythagoras thereon for solution

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>

First in triangle ABC

perpendicular=p=8cm

Hypontenuse =h =10cm

We need to find base=b

According to Pythagoras thereon

${\boxed{\sf b^2=h^2-p^2}}$

Substitutethe values

$\longrightarrow$ $\sf b^2=10^2-p^2$

$\longrightarrow$ $\sf b={\sqrt {10^2-8^2}}$

$\longrightarrow$ $\sf b={\sqrt{100-64}}$

$\longrightarrow$ $\bf b={\sqrt {36}}$

$\longrightarrow$ $\sf b=6$

$\therefore$ $\overline{BC}=6cm$

BD=BC+CD

$\longrightarrow$ $BD=9+6$

$\longrightarrow$ $BD=15cm$

Now in $\triangle ABD$

Perpendicular=p=8cm

Base =b=15cm

We need to find Hypontenuse =AD(x)

According to Pythagoras thereon

${\boxed {\sf h^2=p^2+b^2}}$

Substitute the values

$\longrightarrow$ $\sf h^2=8^2+15^2$

$\longrightarrow$ $\sf h={\sqrt {8^2+15^2}}$

$\longrightarrow$ $\sf h={\sqrt {64+225}}$

$\longrightarrow$ $\sf h={\sqrt {289}}$

$\longrightarrow$ $\sf h=17cm$

$\therefore$ ${\underline{\boxed{\bf x=17cm}}}$

3 0

3 years ago

Elimination/subtraction

denpristay [2]

Answer:

x = 0, y = 7

Step-by-step explanation:

Solving a system of equations using substitution requires one side to be equal to a variable present in the equation, in this case x or y. We should simplify the equation using elimination before substituting to reduce the chance of error.

In order to use the elimination method, you have to create variables that have the same coefficient—then you can eliminate them. These equations arew already aligned for us.

3x - 10y=-70

-<u> 4x +9y = 63</u>

-x + y = 7

Now, for substitution, the equation must be set to a variable.

-x + y = 7

y = x + 7

Next, plug the equation in where applicable in another equation.

4x +9(x + 7) = 63

4x + 9x + 63 = 63

13x = 0

x = 0

The final step of substitution is to plug the known variable into an equation to find the other variable.

3(0) - 10y=-70

0 - 10y = -70

10y = 70

y = 7

I guarantee you this answer is correct, I worked it out using other methods and graphing prior to submitting this answer.

8 0

3 years ago

Read 2 more answers

A= 5 and c = 13 what does b =

Maru [420]

Uh it can really be anything. You should try and be more specific: see if you did the whole problem.

8 0

3 years ago

Read 2 more answers

15. Using the circle below, find each arc length. Round to the nearest hundredth. R a) ST b) RPT 97 125 PS = 28 feet

Troyanec [42]

The measure of arcPR and arcRPT are 83 and 208 degrees respectively

The measure of arc ST will be gotten using the expression below:

arcPS = arcPT + arcST

Given the following

arcPT = 125 degrees

arc PS = 180 degrees

arcST = arcPS - arcPT

arcST = 180 - 125

arcST = 55 degrees

Similarly, arcPR = 180 - arcRS

arcPR = 180 - 97

arcPR = 83 degrees

arcRPT = arcPR + arcPT

arcRPT = 83 + 125

arcRPT = 208 degrees

Hence the measure of arcPR and arcRPT are 83 and 208 degrees respectively

Learn more about circles here: brainly.com/question/24375372

7 0

3 years ago

Find the value of the following expression:

Phoenix [80]

(3^8 ⋅ 2^-5 ⋅ 9^0)^-2 ⋅ (2^ -2 / 3^3) ^4 ⋅ 3^28 =

(6561 * 0.03125 * 1)^2 * (0.00925)^4 * 22876792454961 =

42037.81348 * 0.00000000732094 * 22876792454961 =

7040477235.56798349

round answer as needed

8 0

4 years ago