Answer:
The volume of the concrete needed to make the block is 5054 ft³
Step-by-step explanation:
The question relate to the calculation of the volume of a shape
The dimensions of the block are;
The depth of the block, d = 19 ft.
The width of the block, w = 19 ft.
The length of the block, l = 14 ft.
The volume of a cube, V = Length, l × Width, w × Depth, d
Therefore, the volume, 'V' of a cubic block is given as follows;
V = l × w × d = 14 ft. × 19 ft. × 19 ft. = 5054 ft.³
The volume of the concrete needed to make the block = The volume of the block, V = 5054 ft³.
Answer:
The volume per dose that the patient should receive is 3.8 ml
Step-by-step explanation:
The physician ordered oncovin 2 mg/m² for chemotherapy treatment of a malignant tumor.
The adult's BSA (Body surface area) = 1.9m²
Hence, the amount of oncovin needed based on his body weight is:
2mg/1 m² = x mg/1.9m²
Cross Multiply
x mg = 2mg × 1.9
x = 3.8mg
We are told , oncovin is supplied:1 mg/ml
Hence:
This means
1 mg = 1 ml
3.8 mg = x ml
Cross Multiply
x ml = 3.8 ml
The volume per dose that the patient should receive is 3.8 ml
1)
you have similar triangles(ABC, ADE), so their side length ratios are equal
8/2=4/CE
CE*4=4
CE=1
2)
angle bisector theorem:
CD/DA=BC/BA
CD/DA=10/8
I:AD=10CD/8
we also know AC=AD+CD=6
II:CD=6-AD
insert II in I:
AD=10(6-AD)/8
=5(6-AD)/4
=(30-5AD)/4
4AD=30-5AD
9AD=30
3AD=10
AD=10/3
Answer:
360
Step-by-step explanation:
We need to find the LCM of 18,90 and 24.
The prime factorization of 18 = 2 × 3 × 3
The prime factorization of 90 = 2 × 5×3×3
The prime factorization of 24 = 2 × 3×2×2
LCM is least common multiple.
LCM = 2 x 2 x 2 x 3 x 3 x 5
= 360
Hence, the LCM of 18,90 and 24 is 360.
Answer:
37
Step-by-step explanation:
10x40 = 400
2(39+42)+ 40 x 4 + 41 + X = 400
162 + 160 + 41 = 400 - X
400 - 363 = X
X= 37