1 x 10¹³ / 384,095,834 = 26,035.2 (rounded)
−
3.1
x
+
7
−
7.4
=
1.5
x
−
6
(
x
−
3
2
)
Step 1: Simplify both sides of the equation.
−
3.1
x
+
7
−
7.4
=
1.5
x
−
6
(
x
−
3
2
)
−
3.1
x
+
7
+
−
7.4
=
1.5
x
+
(
−
6
)
(
x
)
+
(
−
6
)
(
−
3
2
)
(Distribute)
−
3.1
x
+
7
+
−
7.4
=
1.5
x
+
−
6
x
+
9
(
−
3.1
x
)
+
(
7
+
−
7.4
)
=
(
1.5
x
+
−
6
x
)
+
(
9
)
(Combine Like Terms)
−
3.1
x
+
−
0.4
=
−
4.5
x
+
9
−
3.1
x
−
0.4
=
−
4.5
x
+
9
Step 2: Add 4.5x to both sides.
−
3.1
x
−
0.4
+
4.5
x
=
−
4.5
x
+
9
+
4.5
x
1.4
x
−
0.4
=
9
Step 3: Add 0.4 to both sides.
1.4
x
−
0.4
+
0.4
=
9
+
0.4
1.4
x
=
9.4
Step 4: Divide both sides by 1.4.
1.4
x
1.4
=
9.4
1.4
x
=
6.714286
<u>Given</u>:
The given figure is a right triangle.
The measure of one of the angle is 37°
One of the length of the legs of the triangle is 11 cm
The length of the hypotenuse is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;
![cos \ \theta=\frac{adj}{hyp}](https://tex.z-dn.net/?f=cos%20%5C%20%5Ctheta%3D%5Cfrac%7Badj%7D%7Bhyp%7D)
Substituting the values, we have;
![cos \ 37^{\circ}=\frac{11}{x}](https://tex.z-dn.net/?f=cos%20%5C%2037%5E%7B%5Ccirc%7D%3D%5Cfrac%7B11%7D%7Bx%7D)
Simplifying, we get;
![x=\frac{11}{cos \ 37^{\circ}}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B11%7D%7Bcos%20%5C%2037%5E%7B%5Ccirc%7D%7D)
![x=\frac{11}{0.799}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B11%7D%7B0.799%7D)
![x=13.767](https://tex.z-dn.net/?f=x%3D13.767)
Rounding off to the nearest hundredth, we get;
![x=13.77](https://tex.z-dn.net/?f=x%3D13.77)
Thus, the value of x is 13.77 cm.
Answer:
the correct answer is C
Step-by-step explanation:
Abbasid Caliphs Harun al-Rashid and his son, al-Ma'mun, who followed him, established a House of Wisdom in Baghdad—a dedicated space for scholarship. The House of Wisdom increased in use and prestige under al-Ma'mun's rule, from 813 to 833.