Solve for a. write answers as integers or as a proper or improper fractions in simplest form.
1 answer:
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Answer:
<u>30 hours</u> it will take to fill the reservoir.
Step-by-step explanation:
Given:
Water is pouring down into a cuboidal reservoir at the rate of 60 liters per minute.
The volume of the reservoir is 108 m³.
Now, to find the number of hours it will take to fill the reservoir.
As given the rate is liters per minute so we convert the volume into liters:
1 m³ = 1000 liters.
Thus, 108 m³ = 1000 × 108 = 108000 liters.
So, the volume of reservoir = 108000 liters.
And the rate of water pouring down = 60 liters per minute.
Now, to get the number of hours to fill the reservoir:
Now, to convert the 1800 minutes to hours by dividing 1800 by 60 as 1 hour is equal to 60 minutes:
Therefore, 30 hours it will take to fill the reservoir.
Answer:
The correct option is;
∠ADB ≅ ∠CDB, ≅
and
≅
. So ΔABD ≅ ΔCDB by SAS
Step-by-step explanation:
The given parameters are;
The polygon given = Quadrilateral
The diagonal of the quadrilateral = BD
The length of the side AD = (2×y + 5) units
The length of the side CD = (y + 10) units
The given measure of ∠ABD = (2 × y + 25)°
The given measure of ∠CBD = 35°
When y = 5, we have by substituting the value of y into the equations representing the dimensions of the quadrilateral ABCD;
The length of the side AD = 2 × y + 5 = 2×5 + 5 = 15 units
∴ The length of the side AD = 15 units
The length of the side CD = (y + 10) units = (5 + 10) units = 15 units
∴ The length of the side CD = 15 units
The measure of ∠ABD = (2 × y + 25)° = (2 × 5 + 25)° = 35°
The measure of ∠ABD = 35°
Therefore;
∠ADB ≅ ∠CDB by substitution
≅
by reflexive property
≅
by substitution
∴ ΔABD ≅ ΔCBD by Side-Angle-Side rule of congruency
