LA BASE DE UN RECTANGULO ES 8 M MAYOR QUE LA ALTURA, EL AREA MIDE 65 METROS CUADRADOS ¿CUANTO MIDEN LA BASE Y ALTURA?
1 answer:
Answer:
23 m and 15 m
Step-by-step explanation:
THE BASE OF A RECTANGLE IS 8 M GREATER THAN THE HEIGHT, THE AREA MEASURES 65 SQUARE METERS HOW MUCH DO THE BASE AND HEIGHT MEASURE?
Let the height of the rectangle is h.
Base = 8+h
Area of the rectangle, A = 65 m²
We need to find the base and height of the rectangle. The area of a rectangle is given by :
A = bh
So,
Neglecting negative value, h = 15 m
Base = 8+15 = 23 m
So, the base and height of the rectangle is 23 m and 15 m respectively.
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Answer:
t=0.21
Step-by-step explanation:
Given and a population mean
.
#We state our hypothesis as:
The evidence available should validate either the null or alternative hypothesis.
#We calculate the test statistic as:
Hence, the test statistic is t=0.21
Answer:
(21, 2 )
Step-by-step explanation:
Given the 2 equations
y = - x + 9 → (1)
y = x - 12 → (2)
Substitute (2) into (1)
x - 12 = -
x + 9 ( add
x to both sides )
x - 12 = 9 ( add 12 to both sides )
x = 21
Substitute x = 21 into either of the 2 equations and evaluate for y
Substituting into (2)
y = × 21 - 12 = 14 - 12 = 2
Solution is (21, 2 )
Given:
m(ar AB) = 116°
To find:
1. The measure of arc BEA.
2. The measure of ∠CAB
3. The measure of ∠BAD
Solution:
1. The measure of arc of full circle is 360°.
m(ar AB) + m(ar BEA) = 360°
116° + m(ar BEA) = 360°
Subtract 116° from both sides.
m(ar BEA) = 244°
2. Using the tangent-chord angle theorem:
⇒ m∠CAB = 58°
3. Using the tangent-chord angle theorem:
⇒ m∠BAD = 122°
Using the fact that it is supplementary to ∠CAB.
⇒ m∠CAB + m∠BAD = 180°
⇒ 58° + m∠BAD = 180°
Subtract 58° from both sides.
⇒ m∠BAD = 122°