All categories

3 years ago

Find the missing dimension of each triangle described Height: 7 in., area: 21 in2

1 answer:

6 0

The basic dimensions of any triangle are its area, base, and height.
They're related by the area equation; the area is half of the base times the height, or:
$A=\frac{1}{2} b h$
We know the area and the height, so the missing dimension has to be the base. Let's set up an equation by substituting the values the problem gives into the area equation.
$21=\frac{1}{2} \cdot b \cdot 7$
Can you solve this equation for $b$ ?

You might be interested in

Value of P: 3/15(p+10)=-15

ArbitrLikvidat [17]

Step 1 : 1 Simplify — 5 Equation at the end of step 1 : 1 (— • (p + 10)) - -15 = 0 5 Step 2 :Equation at the end of step 2 : (p + 10) ———————— - -15 = 0 5 Step 3 :Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 5 as the denominator :

-15 -15 • 5 -15 = ——— = ——————— 1 5

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(p+10) - (-15 • 5) p + 85 —————————————————— = —————— 5 5 Equation at the end of step 3 : p + 85 —————— = 0 5 Step 4 :When a fraction equals zero : 4.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

p+85 ———— • 5 = 0 • 5 5

Now, on the left hand side, the 5 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
p+85 = 0

Solving a Single Variable Equation :

4.2 Solve : p+85 = 0

Subtract 85 from both sides of the equation :
 p = -85

One solution was found : p = -85

7 0

3 years ago

The denominator of a fraction is greater than the numerator by 8. If the numerator is increased by 17 and denominator is decreas

MA_775_DIABLO [31]

Answer: $\frac{13}{21}$

Step-by-step explanation:

2( N+ 17) = 3 (N +7)

2N+ 34= ·3N+ 21

N= 13

D= N+8 = 13+8 = 21

Fraction is $\frac{13}{21}$

When Im using N is equal to numerator and D for denominator, in order to get the fraction we substitute and the results combine in the fraction like this $\frac{N}{D}$

3 0

1 year ago

Multiply the polynomials * –6w(2w2 - 5)

Paul [167]

Answer:

-12w^3 + 30w.

Step-by-step explanation:

–6w(2w^2 - 5) Using the distributive law:

= -6w* 2w^2 - 6w*-5

= -12w^3 + 30w.

5 0

3 years ago

The cost of 5m of cloth is ₹450. The cost of 8m of cloth is

enyata [817]

Step-by-step explanation:

Rs 720

Cost of 1 m of cloth = 450/5= Rs 90

Cost of 8 m of cloth= 90*80= Rs 720

7 0

3 years ago

Read 2 more answers

I need help pls!!!!!

belka [17]

Answer:

The sales price is 90% of the regular price.

The regular price is $60

10% of 60 is $6

8 0

3 years ago