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max2010maxim [7]
3 years ago
8

on a map of the country club golf course, 0.5 in. represents 45 yd. how long is the 7th hole if the map shows 3 in

Mathematics
1 answer:
BigorU [14]3 years ago
4 0
The answer will be 270 inches.
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In the figure AB is parallel to CD. BC is parallel to AE. angle ABD measures (3x+4). angle BCD measures (6x-8). angle EDF measur
Elanso [62]

Answer:

The measure of angle BCD is 68.5\°

Step-by-step explanation:

step 1

Find the value of x

we know that

m -----> form a straight line

substitute the values

(3x+4)\°+(6x-8)\°+(7x-20)\°=180\°

(16x-24)\°=180\°

16x=180\°+24\°

16x=204\°

x=12.75\°

step 2

Find the measure of angle BCD

m

substitute the value of x

m

6 0
3 years ago
Solve the inequality. Graph the solution.<br> 7z&lt; -28
Zepler [3.9K]

Answer: The answer is -9

Step-by-step explanation:

7z<-28= -9

Because we take the -28 and add 19 because that's the common denominator and we come up with -9

6 0
3 years ago
Helpppp pleasssss!!!!
DaniilM [7]

Answer:

Step-by-step explanation:

A)  

attached , I used g o o g l e draw.

B)

0.8 m  = 80 cm    =800 mm /50 = 16 mm

C)

bed = 4cm x 3cm  

4cm*50= 200 cm = 2 m  

3cm*50 = 150 cm = 1.5 m

8 0
3 years ago
The altitude of a triangle is 1cm shorter than the base. If the area of the triangle is 15cm2, calculate the altitude.
WITCHER [35]

Answer:

5 cm

Step-by-step explanation:

We khow that the altitude of this triangle is 1cm shorter than the base

  • Let H be our altitude and B our base and A the area of the triangle
  • A= (B*H)/2 ⇒ 15=(B*H)/2
  • H is 1cm shorter than B ⇒ B=H+1
  • H*(H+1)/2=15 ⇒ H*(H+1)=30⇒ H²+H=30⇒H²+H-30+0

that's a quadratic equation . Let's calculate the dicriminant .

Let Δ be the dicriminant

  • a=1
  • b=1
  • c= -30
  • Δ=b²-4*a*c = 1²-4*1*(-30)=1+4*30=121≥0
  • Δ≥0⇔ that we have two solutions x and y
  • x= (-1-\sqrt{121})/2= (-1-11)/2= -6
  • y= (-1+\sqrt{121})/2= 10/2 = 5

We have a negative value and a positive one

The altitude is a distance so it can't be negative

H= 5cm

6 0
3 years ago
What is (2+y)³ written out? 8 + 12y + 6y² + y³ 6 + 8y + 4y² + y³
AveGali [126]
\boxed{(2+y)^3-cube\ the\ sum\ of\ the\ numbers\ 2\ and\ y}

Use:\ (a+b)^3=(a+b)(a+b)(a+b)=a^3+3a^2b+3ab^2+b^3\\----------------------------\\(2+y)^3=2^3+3\cdot2^2\cdot y+3\cdot2\cdot y^2+y^3=8+3\cdot4y+6y^2+y^3\\\\=8+12y+6y^2+y^3\\========================================

8+12y+6y^2+6y^3+8y+4y^2+y^3\\=8+(12y+8y)+(6y^2+4y^2)+(6y^3+y^3)\\=8+20y+10y^2+7y^3



7 0
3 years ago
Read 2 more answers
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