Aconcrete patio is

feet wide. it has an area of

square feet. is the concrete slab long enough to fit a 7-foot picnic table without placing the table along the diagonal of the patio? explain.

The length of concrete patio is 6.5 feet which is less than given 7 foot picnic table. So the concrete slab is not enough to fit a 7 foot picnic table

Solution:

Given that concrete patio is feet wide

Area of concrete patio = square feet

Therefore,

Let us find the length of concrete patio

Concrete patio is usually of shape rectangle

Area of concrete patio = length x width

Therefore length of concrete patio is 6.5 feet

So it cannot fit the 7 foot picnic table. Since the length of concrete patio is 6.5 feet which is less than given 7 foot picnic table

the one that has a slope of 1/2 and is positive.

step-by-step explanation: 2 buckets 1 trip ; 4 buckets 2 trips and so on.

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°